diff --git a/CHANGES.md b/CHANGES.md
index 54171401c..7896f423e 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -1,3 +1,8 @@
+# UNRELEASED
+
+- Trace:
+  - Add information about added clauses to Implication cards
+
 # v3.7.2 (July 2026)
 
 Requires Menhir 20211230 and OCaml 4.14 or above on Linux, Windows and
diff --git a/src/elpi_trace_elaborator.ml b/src/elpi_trace_elaborator.ml
index b331ce5d4..9c5166032 100644
--- a/src/elpi_trace_elaborator.ml
+++ b/src/elpi_trace_elaborator.ml
@@ -71,7 +71,7 @@ module Elaborate : sig
     type chr_attempt = { loc : location; code: string; events : event list; timestamp : timestamp; removed : goal_id list; resumed : goal_id list;  }
     
     type action =
-      | Builtin of { name : builtin_name; outcome : step_outcode; events : event list }
+      | Builtin of { name : builtin_rule; outcome : step_outcode; events : event list }
       | Backchain of { trylist : attempt list; outcome : step_outcode }
     
     type step =
@@ -117,7 +117,7 @@ end = struct
     type chr_attempt = { loc : location; code: string; events : event list; timestamp : timestamp; removed : goal_id list; resumed : goal_id list;  }
     
     type action =
-      | Builtin of { name : builtin_name; outcome : step_outcode; events : event list }
+      | Builtin of { name : builtin_rule; outcome : step_outcode; events : event list }
       | Backchain of { trylist : attempt list; outcome : step_outcode }
     
     type step =
@@ -288,18 +288,29 @@ let decode_cut = function
   | { payload = [g;r;t] }, _ -> int_of_string g, decode_loc r, t
   | _ -> assert false
 
-let get_builtin_name l : builtin_name =
+let get_builtin_name l : builtin_rule =
   match has "user:rule:builtin:name" l with
   | None -> assert false
-  | Some x -> `FFI (decode_string x)
+  | Some x -> { kind = `FFI; name = decode_string x; payload = [] }
 
 let gstacks : frame list GoalMap.t ref = ref GoalMap.empty (* goal_id -> stack *)
 let fstacks : frame list StepMap.t ref = ref StepMap.empty (* step_id -> stack *)
 
 let push_stack (step,rid) goal_id rule siblings =
-  let this_stack = try GoalMap.find goal_id !gstacks with Not_found -> [] in
+  (* If a step pushes multiple frames, such as an implication with
+     multiple clauses on the LHS, then a stack for this step already
+     exists; we need to make sure to properly push to it, instead of
+     overriding *)
+  let this_stack =
+    try StepMap.find (step,rid) !fstacks
+    with Not_found ->
+      try GoalMap.find goal_id !gstacks
+      with Not_found -> [] in
   let stack = { rule; step_id = step; runtime_id = rid } :: this_stack in
   fstacks := StepMap.add (step,rid) stack !fstacks;
+  (* We assume that a step pushes all its frames before we start
+     processing siblings, so we can safely override the siblings'
+     stacks *)
   List.iter (fun g -> gstacks := GoalMap.add g stack !gstacks) siblings
 
 let update_stack (step,rid) goal_id rule =
@@ -325,7 +336,7 @@ try
   timestamp,match decode_step items with
   | `Findall (({ goal_id; payload = [pred;goal] },_),start) ->
       let result = all "user:assign" decode_string items in
-      let () = push_stack (step,rid) goal_id (`BuiltinRule (`FFI "findall")) [] in
+      let () = push_stack (step,rid) goal_id (`BuiltinRule ({ kind = `FFI; name = "findall"; payload = [] })) [] in
       let stop =
         match has "user:assign" items with
         | None -> assert false
@@ -334,15 +345,15 @@ try
   | `Suspend ({ goal_id; payload = [pred;goal] },_) ->
        let sibling = all "user:subgoal" decode_int items in
        assert(List.length sibling = 1);
-       let () = push_stack (step,rid) goal_id (`BuiltinRule (`Logic "suspend")) sibling in
+       let () = push_stack (step,rid) goal_id (`BuiltinRule ({ kind = `Logic; name = "suspend"; payload = [] })) sibling in
        Suspend {goal_id;goal;sibling = List.hd sibling} 
   | `Cut ({ goal_id; payload = [pred;goal] },_) ->
-      let () = push_stack (step,rid) goal_id (`BuiltinRule (`FFI "!")) [] in
+      let () = push_stack (step,rid) goal_id (`BuiltinRule ({ kind = `FFI; name = "!"; payload = []})) [] in
       let cutted = all "user:rule:cut:branch" decode_cut items in
       Cut (goal_id,cutted)
   | `Resumption l ->
       let resumed = List.map (fun ({ goal_id; payload },_ as x) ->
-        let () = update_stack (step,rid) goal_id (`BuiltinRule (`Logic "resume")) in
+        let () = update_stack (step,rid) goal_id (`BuiltinRule ({ kind = `Logic; name = "resume"; payload = [] })) in
         goal_id, decode_string x) l in
       Resume resumed
   | `CHR(chr_store_before,chr_store_after) ->
@@ -382,8 +393,22 @@ try
           assert(List.length events = 1);
           let _, events = List.hd events in
           Builtin { name; outcome; events = List.map decode_infer_event events  }
+        else if name = "implication" then
+          let new_hyps = match has "user:new-hyps" items with
+            | Some ({ payload = hyps },_) -> hyps
+            (* Backwards compatibility: treat a missing new-hyps item
+               as empty, which renders as before *)
+            | _ -> [] in
+          let () =
+            push_stack (step,rid) goal_id (`BuiltinRule ({ kind = `Logic; name = name; payload = new_hyps })) siblings
+          in
+          let name = { kind = `Logic; name = name; payload = [] } in
+          (* Every step needs to push a stack, even a degenerate ([] => P) *)
+          if new_hyps = [] then
+            push_stack (step,rid) goal_id (`BuiltinRule name) siblings;
+          Builtin { name; outcome; events = [] }
         else
-          let name = `Logic name in
+          let name = { kind = `Logic; name = name; payload = [] } in
           let () = push_stack (step,rid) goal_id (`BuiltinRule name) siblings in
           let events = all_infer_event_chains "user:rule:builtin:name" items in (* ??? *)
           let events =
diff --git a/src/runtime/runtime.ml b/src/runtime/runtime.ml
index 1f3176af9..10dc10114 100644
--- a/src/runtime/runtime.ml
+++ b/src/runtime/runtime.ml
@@ -4109,6 +4109,8 @@ let make_runtime : ?max_steps: int -> ?delay_outside_fragment: bool -> executabl
        let clauses, pdiff, lcs = clausify ~tail_cut:(ik = ImplBang) ~loc p ~depth g1 in
        let g2 = hmove ~from:depth ~to_:(depth+lcs) g2 in
        let gid[@trace] = make_subgoal_id gid ((depth,g2)[@trace]) in
+       (* clausify returns the clauses right-to-left, but we want to report them left-to-right *)
+       [%spyl "user:new-hyps" ~rid ~gid (fun f (hd,c) -> ppclause f ~hd c) (List.rev clauses)];
        [%spy "user:rule:implication" ~rid ~gid pp_string "success"];
        [%tcall run (depth+lcs) (add_clauses ~depth clauses pdiff p) g2 (gid[@trace]) gs next alts cutto_alts]
     | Builtin(Pi, [arg]) -> [%spy "user:rule" ~rid ~gid pp_string "pi"];
diff --git a/src/trace.atd b/src/trace.atd
index d72e93155..79302a355 100644
--- a/src/trace.atd
+++ b/src/trace.atd
@@ -64,9 +64,10 @@ type attempt = {
   rule : rule;
   events : event list;
 }
-type rule = [ BuiltinRule of builtin_name | UserRule of user_rule ]
+type rule = [ BuiltinRule of builtin_rule | UserRule of user_rule ]
 type user_rule = { rule_text : rule_text; rule_loc : location }
-type builtin_name = [ Logic of string | FFI of string ]
+type builtin_kind = [ Logic | FFI ]
+type builtin_rule = { name : string; kind : builtin_kind; payload : string list }
 type location = [ File of file_location | Context of step_id ]
 type file_location = { filename : string; line : int; column : int; character : int }
 type event = [ Assign of string | Fail of string | ResumeGoal of goal_id list]
diff --git a/src/trace_atd.ts b/src/trace_atd.ts
index aebe96087..e0bde14f4 100644
--- a/src/trace_atd.ts
+++ b/src/trace_atd.ts
@@ -77,7 +77,7 @@ export type Attempt = {
 }
 
 export type Rule =
-| { kind: 'BuiltinRule'; value: BuiltinName }
+| { kind: 'BuiltinRule'; value: BuiltinRule }
 | { kind: 'UserRule'; value: UserRule }
 
 export type UserRule = {
@@ -85,9 +85,15 @@ export type UserRule = {
   rule_loc: Location;
 }
 
-export type BuiltinName =
-| { kind: 'Logic'; value: string }
-| { kind: 'FFI'; value: string }
+export type BuiltinKind =
+| { kind: 'Logic' }
+| { kind: 'FFI' }
+
+export type BuiltinRule = {
+  name: string;
+  kind: BuiltinKind;
+  payload: string[];
+}
 
 export type Location =
 | { kind: 'File'; value: FileLocation }
@@ -411,7 +417,7 @@ export function readAttempt(x: any, context: any = x): Attempt {
 export function writeRule(x: Rule, context: any = x): any {
   switch (x.kind) {
     case 'BuiltinRule':
-      return ['BuiltinRule', writeBuiltinName(x.value, x)]
+      return ['BuiltinRule', writeBuiltinRule(x.value, x)]
     case 'UserRule':
       return ['UserRule', writeUserRule(x.value, x)]
   }
@@ -421,7 +427,7 @@ export function readRule(x: any, context: any = x): Rule {
   _atd_check_json_tuple(2, x, context)
   switch (x[0]) {
     case 'BuiltinRule':
-      return { kind: 'BuiltinRule', value: readBuiltinName(x[1], x) }
+      return { kind: 'BuiltinRule', value: readBuiltinRule(x[1], x) }
     case 'UserRule':
       return { kind: 'UserRule', value: readUserRule(x[1], x) }
     default:
@@ -444,28 +450,43 @@ export function readUserRule(x: any, context: any = x): UserRule {
   };
 }
 
-export function writeBuiltinName(x: BuiltinName, context: any = x): any {
+export function writeBuiltinKind(x: BuiltinKind, context: any = x): any {
   switch (x.kind) {
     case 'Logic':
-      return ['Logic', _atd_write_string(x.value, x)]
+      return 'Logic'
     case 'FFI':
-      return ['FFI', _atd_write_string(x.value, x)]
+      return 'FFI'
   }
 }
 
-export function readBuiltinName(x: any, context: any = x): BuiltinName {
-  _atd_check_json_tuple(2, x, context)
-  switch (x[0]) {
+export function readBuiltinKind(x: any, context: any = x): BuiltinKind {
+  switch (x) {
     case 'Logic':
-      return { kind: 'Logic', value: _atd_read_string(x[1], x) }
+      return { kind: 'Logic' }
     case 'FFI':
-      return { kind: 'FFI', value: _atd_read_string(x[1], x) }
+      return { kind: 'FFI' }
     default:
-      _atd_bad_json('BuiltinName', x, context)
+      _atd_bad_json('BuiltinKind', x, context)
       throw new Error('impossible')
   }
 }
 
+export function writeBuiltinRule(x: BuiltinRule, context: any = x): any {
+  return {
+    'name': _atd_write_required_field('BuiltinRule', 'name', _atd_write_string, x.name, x),
+    'kind': _atd_write_required_field('BuiltinRule', 'kind', writeBuiltinKind, x.kind, x),
+    'payload': _atd_write_required_field('BuiltinRule', 'payload', _atd_write_array(_atd_write_string), x.payload, x),
+  };
+}
+
+export function readBuiltinRule(x: any, context: any = x): BuiltinRule {
+  return {
+    name: _atd_read_required_field('BuiltinRule', 'name', _atd_read_string, x['name'], x),
+    kind: _atd_read_required_field('BuiltinRule', 'kind', readBuiltinKind, x['kind'], x),
+    payload: _atd_read_required_field('BuiltinRule', 'payload', _atd_read_array(_atd_read_string), x['payload'], x),
+  };
+}
+
 export function writeLocation(x: Location, context: any = x): any {
   switch (x.kind) {
     case 'File':
diff --git a/tests/sources/broken_trace1.elab.json b/tests/sources/broken_trace1.elab.json
index 647db51db..7f3b87c41 100644
--- a/tests/sources/broken_trace1.elab.json
+++ b/tests/sources/broken_trace1.elab.json
@@ -24,7 +24,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -39,7 +42,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -117,7 +131,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -266,7 +291,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -358,7 +394,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -380,7 +427,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -395,7 +445,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -438,7 +499,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -523,7 +595,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -566,7 +649,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -669,7 +763,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -712,7 +817,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -734,7 +850,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X5 := supported-attribute (att verbose bool)" ]
               ]
@@ -746,7 +865,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 9,
             "runtime_id": 8
           },
@@ -789,7 +910,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -832,7 +964,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -954,7 +1097,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -997,7 +1151,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -1019,7 +1184,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X7 := supported-attribute (att mathcomp bool)" ]
               ]
@@ -1031,7 +1199,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 11,
             "runtime_id": 8
           },
@@ -1093,7 +1263,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -1136,7 +1317,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -1277,7 +1469,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -1320,7 +1523,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -1342,7 +1556,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -1357,7 +1574,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 13,
             "runtime_id": 8
           },
@@ -1438,7 +1657,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -1481,7 +1711,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -1641,7 +1882,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -1684,7 +1936,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -1706,7 +1969,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -1721,7 +1987,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 15,
             "runtime_id": 8
           },
@@ -1821,7 +2089,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -1864,7 +2143,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -2043,7 +2333,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -2086,7 +2387,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -2108,7 +2420,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -2123,7 +2438,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 17,
             "runtime_id": 8
           },
@@ -2242,7 +2559,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -2285,7 +2613,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -2483,7 +2822,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -2526,7 +2876,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -2548,7 +2909,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X15 := supported-attribute (att infer attmap)" ]
               ]
@@ -2560,7 +2924,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 19,
             "runtime_id": 8
           },
@@ -2698,7 +3064,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -2741,7 +3118,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -2958,7 +3346,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -3001,7 +3400,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -3023,7 +3433,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X17 := supported-attribute (att key string)" ]
               ]
@@ -3035,7 +3448,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 21,
             "runtime_id": 8
           },
@@ -3192,7 +3607,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -3235,7 +3661,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -3471,7 +3908,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -3514,7 +3962,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -3536,7 +3995,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign", "X19 := supported-attribute (att arg_sort bool)"
@@ -3550,7 +4012,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 23,
             "runtime_id": 8
           },
@@ -3726,7 +4190,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -3769,7 +4244,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -4024,7 +4510,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -4067,7 +4564,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -4089,7 +4597,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X21 := supported-attribute (att log bool)" ]
               ]
@@ -4101,7 +4612,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 25,
             "runtime_id": 8
           },
@@ -4296,7 +4809,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -4339,7 +4863,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -4613,7 +5148,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -4656,7 +5202,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -4678,7 +5235,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X23 := supported-attribute (att log.raw bool)" ]
               ]
@@ -4690,7 +5250,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 27,
             "runtime_id": 8
           },
@@ -4904,7 +5466,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -4947,7 +5520,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5240,7 +5824,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5283,7 +5878,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5305,7 +5911,10 @@
         "successful_attempts": [
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -5320,7 +5929,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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@@ -5553,7 +6164,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5596,7 +6218,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5908,7 +6541,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5951,7 +6595,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -5973,7 +6628,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X27 := supported-attribute (att export bool)" ]
               ]
@@ -5985,7 +6643,9 @@
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         "stack": [
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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+            ],
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@@ -6237,7 +6897,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -6280,7 +6951,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -6611,7 +7293,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -6654,7 +7347,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -6676,7 +7380,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X29 := supported-attribute (att skip string)" ]
               ]
@@ -6688,7 +7395,9 @@
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         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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@@ -6959,7 +7668,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -7002,7 +7722,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -7352,7 +8083,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -7395,7 +8137,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -7417,7 +8170,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X31 := supported-attribute (att local bool)" ]
               ]
@@ -7429,7 +8185,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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@@ -7719,7 +8477,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -7762,7 +8531,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -8131,7 +8911,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -8174,7 +8965,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -8196,7 +8998,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X33 := supported-attribute (att fail bool)" ]
               ]
@@ -8208,7 +9013,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -8517,7 +9324,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -8560,7 +9378,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -8948,7 +9777,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -8991,7 +9831,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -9013,7 +9864,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X35 := supported-attribute (att doc string)" ]
               ]
@@ -9025,7 +9879,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -9353,7 +10209,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -9396,7 +10263,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -9803,7 +10681,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -9846,7 +10735,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -9868,7 +10768,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -9883,7 +10786,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -10230,7 +11135,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -10273,7 +11189,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -10699,7 +11626,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -10742,7 +11680,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -10764,7 +11713,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign", "X39 := supported-attribute (att primitive bool)"
@@ -10778,7 +11730,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 43,
             "runtime_id": 8
           },
@@ -11144,7 +12098,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -11187,7 +12152,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -11629,7 +12605,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -11672,7 +12659,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -11694,7 +12692,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -11709,7 +12710,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 45,
             "runtime_id": 8
           },
@@ -12094,7 +13097,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -12137,7 +13151,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -12598,7 +13623,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -12641,7 +13677,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -12663,7 +13710,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X43 := supported-attribute (att hnf bool)" ]
               ]
@@ -12675,7 +13725,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 47,
             "runtime_id": 8
           },
@@ -13079,7 +14131,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -13122,7 +14185,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -13586,7 +14660,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -13629,7 +14714,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -13651,7 +14747,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -13666,7 +14765,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -13690,7 +14800,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -13733,7 +14854,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -13910,7 +15042,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -13934,7 +15077,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -13977,7 +15131,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -14066,7 +15231,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -14090,7 +15266,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -14133,7 +15320,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -14155,7 +15353,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -14165,7 +15366,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 53,
             "runtime_id": 8
           },
@@ -14200,7 +15403,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -14224,7 +15438,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -14267,7 +15492,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -14320,7 +15556,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X45 := elpi.loc" ] ]
             },
             "siblings": [],
@@ -14330,7 +15569,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 55,
             "runtime_id": 8
           },
@@ -14365,7 +15606,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -14389,7 +15641,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -14432,7 +15695,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -14520,7 +15794,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -14544,7 +15829,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -14587,7 +15883,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -14698,7 +16005,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -14722,7 +16040,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -14765,7 +16094,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -15124,7 +16464,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -15148,7 +16499,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -15191,7 +16553,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -15367,7 +16740,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -15391,7 +16775,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -15434,7 +16829,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -15578,7 +16984,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -15602,7 +17019,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -15645,7 +17073,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -15667,7 +17106,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "is_cdata" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "is_cdata", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -15679,7 +17121,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "is_cdata" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "is_cdata", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 62,
             "runtime_id": 8
           },
@@ -15771,7 +17216,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -15795,7 +17251,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -15838,7 +17305,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -15860,7 +17338,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -15870,12 +17351,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 63,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "is_cdata" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "is_cdata", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 62,
             "runtime_id": 8
           },
@@ -15967,7 +17453,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -15991,7 +17488,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -16034,7 +17542,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -16087,7 +17606,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X46 := ok" ] ]
             },
             "siblings": [],
@@ -16097,7 +17619,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 65,
             "runtime_id": 8
           },
@@ -16170,7 +17694,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -16194,7 +17729,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -16237,7 +17783,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -16320,7 +17877,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -16344,7 +17912,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -16387,7 +17966,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -16407,7 +17997,9 @@
         "current_goal_predicate": "=",
         "failed_attempts": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "events": [ [ "Fail", "unify ok with error X47" ] ]
           }
         ],
@@ -16415,7 +18007,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 67,
             "runtime_id": 8
           },
@@ -16449,175 +18043,54 @@
             "step_id": 50,
             "runtime_id": 8
           },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 49,
-            "runtime_id": 8
-          },
-          {
-            "rule": [
-              "UserRule",
-              {
-                "rule_text": "(coq.parse-attributes A0 A1 A2) :- (std.map A1 (c0 \\ (c1 \\\n                                     (c1 = supported-attribute c0))) A3), \n (A3 => parse-attributes.aux A0  A2), (!).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/build/source/./elpi/coq-lib.elpi",
-                    "line": 633,
-                    "column": 0,
-                    "character": 27114
-                  }
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-              }
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-            "step_id": 7,
-            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 6,
-            "runtime_id": 8
-          },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(with-attributes A0) :- (attributes A1), \n (pi (c0 \\\n   (pi (c1 \\\n     (pi (c2 \\\n       (pi (c3 \\\n         (pi (c4 \\\n           (pi (c5 \\\n             (pi (c6 \\\n               (pi (c7 \\\n                 (parse-attributes.aux [attribute c0 (node c1) | c2] c3 c4 :-\n                   , (if (c3 = ) (c7 = c0) (c7 is c3 ^ . ^ c0)) \n                    (supported-attribute (att c7 attmap)) (!) \n                    (parse-attributes.aux c2 c3 c5) \n                    (pi (c8 \\ (supported-attribute (att c8 string) :- !)) =>\n                      parse-attributes.aux c1  c6) \n                    (std.append c5 [get-option c7 c6] c4))))))))))))))))) =>\n   coq.parse-attributes A1 \n    [att verbose bool, att mathcomp bool, att mathcomp.axiom string, \n     att short.type string, att short.pack string, att infer attmap, \n     att key string, att arg_sort bool, att log bool, att log.raw bool, \n     att compress_coercions bool, att export bool, att skip string, \n     att local bool, att fail bool, att doc string, \n     att primitive_class bool, att primitive bool, \n     att non_forgetful_inheritance bool, att hnf bool] A2), (!), \n (A2 => (save-docstring , A0)).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/utils.elpi",
-                    "line": 14,
-                    "column": 0,
-                    "character": 453
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 4,
+            "step_id": 49,
             "runtime_id": 8
           },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(main [const-decl A0 (some A1) A2]) :- (!), \n (with-attributes (with-logging (instance.declare-const A0 A1 A2 _))).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "./structures.v",
-                    "line": 594,
-                    "column": 0,
-                    "character": 2
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 2,
+            "step_id": 49,
             "runtime_id": 8
           },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 1,
-            "runtime_id": 8
-          }
-        ]
-      }
-    ],
-    "color": "Red"
-  },
-  {
-    "step_id": 68,
-    "runtime_id": 8,
-    "step": [
-      "Inference",
-      {
-        "current_goal_id": 1177,
-        "current_goal_text": "if (ok = error X47) (coq.error X47) true",
-        "current_goal_predicate": "if",
-        "failed_attempts": [],
-        "successful_attempts": [
-          {
-            "attempt": {
-              "rule": [
-                "UserRule",
-                {
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-                  "rule_loc": [
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-                    {
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-                      "line": 405,
-                      "column": 0,
-                      "character": 9211
-                    }
-                  ]
-                }
-              ],
-              "events": [ [ "Assign", "A0 := true" ] ]
-            },
-            "siblings": [ { "goal_text": "true", "goal_id": 1195 } ],
-            "siblings_aggregated_outcome": "Success"
-          }
-        ],
-        "more_successful_attempts": [],
-        "stack": [
           {
             "rule": [
               "UserRule",
               {
-                "rule_text": "(if _ _ A0) :- A0.",
+                "rule_text": "(coq.parse-attributes A0 A1 A2) :- (std.map A1 (c0 \\ (c1 \\\n                                     (c1 = supported-attribute c0))) A3), \n (A3 => parse-attributes.aux A0  A2), (!).",
                 "rule_loc": [
                   "File",
                   {
-                    "filename": "elpi-builtin.elpi",
-                    "line": 405,
+                    "filename": "/build/source/./elpi/coq-lib.elpi",
+                    "line": 633,
                     "column": 0,
-                    "character": 9211
+                    "character": 27114
                   }
                 ]
               }
             ],
-            "step_id": 68,
+            "step_id": 7,
             "runtime_id": 8
           },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(parse-attributes.aux [attribute A0 (node A1) | A2] A3 A4) :- (if (A3 = ) \n                                                                (A7 = A0) \n                                                                (A7 is\n                                                                  A3 ^ . ^ A0)), \n (supported-attribute (att A7 attmap)), (!), \n (parse-attributes.aux A2 A3 A5), \n (pi (c0 \\ (supported-attribute (att c0 string) :- !)) =>\n   parse-attributes.aux A1  A6), (std.append A5 [get-option A7 A6] A4).",
-                "rule_loc": [ "Context", 6 ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 50,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 49,
+            "step_id": 6,
             "runtime_id": 8
           },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(coq.parse-attributes A0 A1 A2) :- (std.map A1 (c0 \\ (c1 \\\n                                     (c1 = supported-attribute c0))) A3), \n (A3 => parse-attributes.aux A0  A2), (!).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/build/source/./elpi/coq-lib.elpi",
-                    "line": 633,
-                    "column": 0,
-                    "character": 27114
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 7,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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             "runtime_id": 8
           },
@@ -16660,7 +18133,194 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          }
+        ]
+      }
+    ],
+    "color": "Red"
+  },
+  {
+    "step_id": 68,
+    "runtime_id": 8,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 1177,
+        "current_goal_text": "if (ok = error X47) (coq.error X47) true",
+        "current_goal_predicate": "if",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "(if _ _ A0) :- A0.",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "elpi-builtin.elpi",
+                      "line": 405,
+                      "column": 0,
+                      "character": 9211
+                    }
+                  ]
+                }
+              ],
+              "events": [ [ "Assign", "A0 := true" ] ]
+            },
+            "siblings": [ { "goal_text": "true", "goal_id": 1195 } ],
+            "siblings_aggregated_outcome": "Success"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(if _ _ A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "elpi-builtin.elpi",
+                    "line": 405,
+                    "column": 0,
+                    "character": 9211
+                  }
+                ]
+              }
+            ],
+            "step_id": 68,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(parse-attributes.aux [attribute A0 (node A1) | A2] A3 A4) :- (if (A3 = ) \n                                                                (A7 = A0) \n                                                                (A7 is\n                                                                  A3 ^ . ^ A0)), \n (supported-attribute (att A7 attmap)), (!), \n (parse-attributes.aux A2 A3 A5), \n (pi (c0 \\ (supported-attribute (att c0 string) :- !)) =>\n   parse-attributes.aux A1  A6), (std.append A5 [get-option A7 A6] A4).",
+                "rule_loc": [ "Context", 6 ]
+              }
+            ],
+            "step_id": 50,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(coq.parse-attributes A0 A1 A2) :- (std.map A1 (c0 \\ (c1 \\\n                                     (c1 = supported-attribute c0))) A3), \n (A3 => parse-attributes.aux A0  A2), (!).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "/build/source/./elpi/coq-lib.elpi",
+                    "line": 633,
+                    "column": 0,
+                    "character": 27114
+                  }
+                ]
+              }
+            ],
+            "step_id": 7,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(with-attributes A0) :- (attributes A1), \n (pi (c0 \\\n   (pi (c1 \\\n     (pi (c2 \\\n       (pi (c3 \\\n         (pi (c4 \\\n           (pi (c5 \\\n             (pi (c6 \\\n               (pi (c7 \\\n                 (parse-attributes.aux [attribute c0 (node c1) | c2] c3 c4 :-\n                   , (if (c3 = ) (c7 = c0) (c7 is c3 ^ . ^ c0)) \n                    (supported-attribute (att c7 attmap)) (!) \n                    (parse-attributes.aux c2 c3 c5) \n                    (pi (c8 \\ (supported-attribute (att c8 string) :- !)) =>\n                      parse-attributes.aux c1  c6) \n                    (std.append c5 [get-option c7 c6] c4))))))))))))))))) =>\n   coq.parse-attributes A1 \n    [att verbose bool, att mathcomp bool, att mathcomp.axiom string, \n     att short.type string, att short.pack string, att infer attmap, \n     att key string, att arg_sort bool, att log bool, att log.raw bool, \n     att compress_coercions bool, att export bool, att skip string, \n     att local bool, att fail bool, att doc string, \n     att primitive_class bool, att primitive bool, \n     att non_forgetful_inheritance bool, att hnf bool] A2), (!), \n (A2 => (save-docstring , A0)).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/utils.elpi",
+                    "line": 14,
+                    "column": 0,
+                    "character": 453
+                  }
+                ]
+              }
+            ],
+            "step_id": 4,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(main [const-decl A0 (some A1) A2]) :- (!), \n (with-attributes (with-logging (instance.declare-const A0 A1 A2 _))).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "./structures.v",
+                    "line": 594,
+                    "column": 0,
+                    "character": 2
+                  }
+                ]
+              }
+            ],
+            "step_id": 2,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -16755,7 +18415,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -16779,7 +18450,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -16822,7 +18504,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -16844,7 +18537,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -16859,7 +18555,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 70,
             "runtime_id": 8
           },
@@ -16875,7 +18573,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -16899,7 +18608,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -16942,7 +18662,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17018,7 +18749,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 49,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 49,
             "runtime_id": 8
           },
@@ -17042,7 +18784,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 6,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 8
           },
@@ -17085,7 +18838,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17119,7 +18883,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -17134,7 +18901,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17177,7 +18955,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17199,7 +18988,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -17215,12 +19007,26 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17263,7 +19069,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17333,12 +19150,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17381,7 +19212,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17481,12 +19323,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17529,7 +19385,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17551,7 +19418,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -17564,7 +19434,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 78,
             "runtime_id": 8
           },
@@ -17607,12 +19480,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17655,7 +19542,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17709,7 +19607,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 78,
             "runtime_id": 8
           },
@@ -17752,12 +19653,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17800,7 +19715,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -17823,7 +19749,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 78,
             "runtime_id": 8
           },
@@ -17866,12 +19795,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -17914,7 +19857,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -17998,12 +19952,26 @@
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@@ -18046,7 +20014,18 @@
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@@ -18149,12 +20128,26 @@
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@@ -18197,7 +20190,18 @@
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@@ -18303,12 +20307,26 @@
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@@ -18351,7 +20369,18 @@
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@@ -18442,12 +20471,26 @@
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@@ -18490,7 +20533,18 @@
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@@ -18512,7 +20566,10 @@
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@@ -18525,7 +20582,10 @@
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@@ -18568,12 +20628,26 @@
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@@ -18616,7 +20690,18 @@
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@@ -18639,7 +20724,10 @@
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@@ -18682,12 +20770,26 @@
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@@ -18730,7 +20832,18 @@
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@@ -18821,12 +20934,26 @@
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@@ -18869,7 +20996,18 @@
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@@ -18891,7 +21029,10 @@
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@@ -18907,7 +21048,10 @@
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@@ -18950,12 +21094,26 @@
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@@ -18998,7 +21156,18 @@
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@@ -19021,7 +21190,10 @@
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@@ -19064,12 +21236,26 @@
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@@ -19112,7 +21298,18 @@
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@@ -19205,12 +21402,26 @@
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@@ -19253,7 +21464,18 @@
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@@ -19344,12 +21566,26 @@
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@@ -19392,7 +21628,18 @@
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@@ -19414,7 +21661,10 @@
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@@ -19427,7 +21677,10 @@
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@@ -19470,12 +21723,26 @@
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@@ -19518,7 +21785,18 @@
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@@ -19541,7 +21819,10 @@
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@@ -19584,12 +21865,26 @@
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@@ -19632,7 +21927,18 @@
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@@ -19723,12 +22029,26 @@
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@@ -19771,7 +22091,18 @@
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@@ -19793,7 +22124,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
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             },
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@@ -19806,7 +22140,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -19849,12 +22186,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -19897,7 +22248,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -19920,7 +22282,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -19963,12 +22328,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20011,7 +22390,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20086,12 +22476,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20134,7 +22538,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20230,12 +22645,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20278,7 +22707,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20400,12 +22840,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20448,7 +22902,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20587,12 +23052,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -20635,7 +23114,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20785,12 +23275,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20833,7 +23337,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -20856,7 +23371,12 @@
           {
             "attempt": {
               "rule": [
-                "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ]
+                "BuiltinRule",
+                {
+                  "name": "coq.elaborate-ty-skeleton",
+                  "kind": "FFI",
+                  "payload": []
+                }
               ],
               "events": []
             },
@@ -20878,7 +23398,14 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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             "runtime_id": 8
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@@ -20978,12 +23505,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -21026,7 +23567,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -21048,7 +23600,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X95 := typ «interleave_context.403»" ]
               ]
@@ -21060,12 +23615,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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             "runtime_id": 8
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@@ -21165,12 +23729,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -21213,7 +23791,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -21235,7 +23824,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X94 := X96" ] ]
             },
             "siblings": [],
@@ -21245,12 +23837,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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@@ -21350,12 +23951,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -21398,7 +24013,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -21473,7 +24099,14 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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@@ -21573,12 +24206,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -21621,7 +24268,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
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           }
@@ -21644,7 +24302,10 @@
         },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 106,
             "runtime_id": 8
           },
@@ -21668,7 +24329,14 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
             "step_id": 102,
             "runtime_id": 8
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@@ -21768,12 +24436,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -21816,7 +24498,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -21941,7 +24634,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -21956,7 +24652,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -21978,7 +24685,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -21993,12 +24703,34 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -22073,12 +24805,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -22206,12 +24960,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -22233,7 +25009,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "var" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "var", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -22243,7 +25022,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "var" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 113,
             "runtime_id": 8
           },
@@ -22286,12 +25067,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -22345,7 +25148,10 @@
         },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 115,
             "runtime_id": 8
           },
@@ -22388,12 +25194,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -22415,7 +25243,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X92 := ok" ] ]
             },
             "siblings": [],
@@ -22425,12 +25256,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 116,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-ty-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-ty-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
             "step_id": 102,
             "runtime_id": 8
           },
@@ -22529,233 +25369,272 @@
             "step_id": 97,
             "runtime_id": 8
           },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
-            "step_id": 75,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 74,
-            "runtime_id": 8
-          },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(with-attributes A0) :- (attributes A1), \n (pi (c0 \\\n   (pi (c1 \\\n     (pi (c2 \\\n       (pi (c3 \\\n         (pi (c4 \\\n           (pi (c5 \\\n             (pi (c6 \\\n               (pi (c7 \\\n                 (parse-attributes.aux [attribute c0 (node c1) | c2] c3 c4 :-\n                   , (if (c3 = ) (c7 = c0) (c7 is c3 ^ . ^ c0)) \n                    (supported-attribute (att c7 attmap)) (!) \n                    (parse-attributes.aux c2 c3 c5) \n                    (pi (c8 \\ (supported-attribute (att c8 string) :- !)) =>\n                      parse-attributes.aux c1  c6) \n                    (std.append c5 [get-option c7 c6] c4))))))))))))))))) =>\n   coq.parse-attributes A1 \n    [att verbose bool, att mathcomp bool, att mathcomp.axiom string, \n     att short.type string, att short.pack string, att infer attmap, \n     att key string, att arg_sort bool, att log bool, att log.raw bool, \n     att compress_coercions bool, att export bool, att skip string, \n     att local bool, att fail bool, att doc string, \n     att primitive_class bool, att primitive bool, \n     att non_forgetful_inheritance bool, att hnf bool] A2), (!), \n (A2 => (save-docstring , A0)).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/utils.elpi",
-                    "line": 14,
-                    "column": 0,
-                    "character": 453
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 75,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(with-attributes A0) :- (attributes A1), \n (pi (c0 \\\n   (pi (c1 \\\n     (pi (c2 \\\n       (pi (c3 \\\n         (pi (c4 \\\n           (pi (c5 \\\n             (pi (c6 \\\n               (pi (c7 \\\n                 (parse-attributes.aux [attribute c0 (node c1) | c2] c3 c4 :-\n                   , (if (c3 = ) (c7 = c0) (c7 is c3 ^ . ^ c0)) \n                    (supported-attribute (att c7 attmap)) (!) \n                    (parse-attributes.aux c2 c3 c5) \n                    (pi (c8 \\ (supported-attribute (att c8 string) :- !)) =>\n                      parse-attributes.aux c1  c6) \n                    (std.append c5 [get-option c7 c6] c4))))))))))))))))) =>\n   coq.parse-attributes A1 \n    [att verbose bool, att mathcomp bool, att mathcomp.axiom string, \n     att short.type string, att short.pack string, att infer attmap, \n     att key string, att arg_sort bool, att log bool, att log.raw bool, \n     att compress_coercions bool, att export bool, att skip string, \n     att local bool, att fail bool, att doc string, \n     att primitive_class bool, att primitive bool, \n     att non_forgetful_inheritance bool, att hnf bool] A2), (!), \n (A2 => (save-docstring , A0)).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/utils.elpi",
+                    "line": 14,
+                    "column": 0,
+                    "character": 453
+                  }
+                ]
+              }
+            ],
+            "step_id": 4,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(main [const-decl A0 (some A1) A2]) :- (!), \n (with-attributes (with-logging (instance.declare-const A0 A1 A2 _))).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "./structures.v",
+                    "line": 594,
+                    "column": 0,
+                    "character": 2
+                  }
+                ]
+              }
+            ],
+            "step_id": 2,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          }
+        ]
+      }
+    ],
+    "color": "Green"
+  },
+  {
+    "step_id": 117,
+    "runtime_id": 8,
+    "step": [
+      "Cut",
+      {
+        "cut_goal_id": 1248,
+        "cut_victims": [
+          {
+            "cut_branch_for_goal": {
+              "goal_text": "std.assert-ok! (coq.elaborate-arity-skeleton (arity X1) _ X69) \n Definition type illtyped",
+              "goal_id": 1244
+            },
+            "cut_branch": {
+              "rule_text": "(std.assert-ok! _ A0) :- (std.fatal-error-w-data A0 no diagnostic returned).",
+              "rule_loc": [
+                "File",
+                {
+                  "filename": "builtin_stdlib.elpi",
+                  "line": 41,
+                  "column": 0,
+                  "character": 1520
+                }
+              ]
+            }
+          }
+        ]
+      }
+    ],
+    "color": "Grey"
+  },
+  {
+    "step_id": 118,
+    "runtime_id": 8,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 1249,
+        "current_goal_text": "ok = ok ;\n ok = error X93 , std.fatal-error-w-data Definition type illtyped X93",
+        "current_goal_predicate": ";",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "(A0 ; _) :- A0.",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "elpi-builtin.elpi",
+                      "line": 28,
+                      "column": 0,
+                      "character": 296
+                    }
+                  ]
+                }
+              ],
+              "events": [ [ "Assign", "A0 := ok = ok" ] ]
+            },
+            "siblings": [ { "goal_text": "ok = ok", "goal_id": 1269 } ],
+            "siblings_aggregated_outcome": "Success"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(A0 ; _) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "elpi-builtin.elpi",
+                    "line": 28,
+                    "column": 0,
+                    "character": 296
+                  }
+                ]
+              }
+            ],
+            "step_id": 118,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(std.assert-ok! A0 A1) :- (A0 A2), (!), \n (A2 = ok ; A2 = error A3 , std.fatal-error-w-data A1 A3), (!).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin_stdlib.elpi",
+                    "line": 40,
+                    "column": 0,
+                    "character": 1406
+                  }
+                ]
+              }
+            ],
+            "step_id": 100,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(std.do! [A0 | A1]) :- A0, (!), (std.do! A1).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin_stdlib.elpi",
+                    "line": 256,
+                    "column": 0,
+                    "character": 8603
+                  }
+                ]
+              }
+            ],
+            "step_id": 99,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(instance.declare-const A0 A1 A2 A3) :- (std.do!\n                                          [std.assert-ok!\n                                            (coq.elaborate-arity-skeleton A2 \n                                              _ A4) Definition type illtyped, \n                                           coq.arity->term A4 A5, \n                                           std.assert-ok!\n                                            (coq.elaborate-skeleton A1 A5 A6) \n                                            Definition illtyped, \n                                           if (A4 = arity A7) \n                                            (if-verbose\n                                              (coq.say\n                                                HB: skipping section opening)\n                                              , A8 = A6) \n                                            (,\n                                              (, (new_int A21) \n                                                (std.any->string A21 A22) \n                                                (A9 is hb_instance_ ^ A22)) \n                                              (log.coq.env.begin-section A9) \n                                              (instance.private.postulate-arity\n                                                A4 [] A6 A8 A7)), \n                                           std.assert!\n                                            (coq.safe-dest-app A7 \n                                              (global A10) A11) \n                                            The type of the instance is not a factory, \n                                           factory-alias->gref A10 A12, \n                                           std.assert!\n                                            (factory-nparams A12 A13) \n                                            Not a factory synthesized by HB, \n                                           instance.private.hack-section-discharging\n                                            A8 A14, \n                                           instance.private.optimize-body\n                                            A14 A15, \n                                           if (A0 = _) \n                                            (, (new_int A23) \n                                              (std.any->string A23 A24) \n                                              (A16 is\n                                                HB_unnamed_factory_ ^ A24)) \n                                            (A16 = A0), \n                                           log.coq.env.add-const-noimplicits-failondup\n                                            A16 A15 A7 ff A17, \n                                           A18 = global (const A17), \n                                           std.drop A13 A11 [A19 | _], \n                                           instance.private.check-non-forgetful-inheritance\n                                            A19 A12, \n                                           instance.private.declare-instance\n                                            A12 A19 A18 A20 A3, \n                                           if (A4 = arity _) true \n                                            (if-verbose\n                                              (header A25 ,\n                                                coq.say A25 \n                                                 closing instance section) ,\n                                              log.coq.env.end-section-name A9), \n                                           acc-clauses current A20]).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/instance.elpi",
+                    "line": 25,
+                    "column": 0,
+                    "character": 1064
+                  }
+                ]
+              }
+            ],
+            "step_id": 98,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(with-logging A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/log.elpi",
+                    "line": 289,
+                    "column": 0,
+                    "character": 11419
+                  }
+                ]
+              }
+            ],
+            "step_id": 97,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 4,
-            "runtime_id": 8
-          },
-          {
-            "rule": [
-              "UserRule",
-              {
-                "rule_text": "(main [const-decl A0 (some A1) A2]) :- (!), \n (with-attributes (with-logging (instance.declare-const A0 A1 A2 _))).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "./structures.v",
-                    "line": 594,
-                    "column": 0,
-                    "character": 2
-                  }
-                ]
-              }
-            ],
-            "step_id": 2,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
-            "step_id": 1,
-            "runtime_id": 8
-          }
-        ]
-      }
-    ],
-    "color": "Green"
-  },
-  {
-    "step_id": 117,
-    "runtime_id": 8,
-    "step": [
-      "Cut",
-      {
-        "cut_goal_id": 1248,
-        "cut_victims": [
-          {
-            "cut_branch_for_goal": {
-              "goal_text": "std.assert-ok! (coq.elaborate-arity-skeleton (arity X1) _ X69) \n Definition type illtyped",
-              "goal_id": 1244
-            },
-            "cut_branch": {
-              "rule_text": "(std.assert-ok! _ A0) :- (std.fatal-error-w-data A0 no diagnostic returned).",
-              "rule_loc": [
-                "File",
-                {
-                  "filename": "builtin_stdlib.elpi",
-                  "line": 41,
-                  "column": 0,
-                  "character": 1520
-                }
-              ]
-            }
-          }
-        ]
-      }
-    ],
-    "color": "Grey"
-  },
-  {
-    "step_id": 118,
-    "runtime_id": 8,
-    "step": [
-      "Inference",
-      {
-        "current_goal_id": 1249,
-        "current_goal_text": "ok = ok ;\n ok = error X93 , std.fatal-error-w-data Definition type illtyped X93",
-        "current_goal_predicate": ";",
-        "failed_attempts": [],
-        "successful_attempts": [
-          {
-            "attempt": {
-              "rule": [
-                "UserRule",
-                {
-                  "rule_text": "(A0 ; _) :- A0.",
-                  "rule_loc": [
-                    "File",
-                    {
-                      "filename": "elpi-builtin.elpi",
-                      "line": 28,
-                      "column": 0,
-                      "character": 296
-                    }
-                  ]
-                }
-              ],
-              "events": [ [ "Assign", "A0 := ok = ok" ] ]
-            },
-            "siblings": [ { "goal_text": "ok = ok", "goal_id": 1269 } ],
-            "siblings_aggregated_outcome": "Success"
-          }
-        ],
-        "more_successful_attempts": [],
-        "stack": [
-          {
-            "rule": [
-              "UserRule",
-              {
-                "rule_text": "(A0 ; _) :- A0.",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "elpi-builtin.elpi",
-                    "line": 28,
-                    "column": 0,
-                    "character": 296
-                  }
-                ]
-              }
-            ],
-            "step_id": 118,
+            "step_id": 75,
             "runtime_id": 8
           },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(std.assert-ok! A0 A1) :- (A0 A2), (!), \n (A2 = ok ; A2 = error A3 , std.fatal-error-w-data A1 A3), (!).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "builtin_stdlib.elpi",
-                    "line": 40,
-                    "column": 0,
-                    "character": 1406
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 100,
-            "runtime_id": 8
-          },
-          {
-            "rule": [
-              "UserRule",
-              {
-                "rule_text": "(std.do! [A0 | A1]) :- A0, (!), (std.do! A1).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "builtin_stdlib.elpi",
-                    "line": 256,
-                    "column": 0,
-                    "character": 8603
-                  }
-                ]
-              }
-            ],
-            "step_id": 99,
+            "step_id": 74,
             "runtime_id": 8
           },
           {
             "rule": [
-              "UserRule",
-              {
-                "rule_text": "(instance.declare-const A0 A1 A2 A3) :- (std.do!\n                                          [std.assert-ok!\n                                            (coq.elaborate-arity-skeleton A2 \n                                              _ A4) Definition type illtyped, \n                                           coq.arity->term A4 A5, \n                                           std.assert-ok!\n                                            (coq.elaborate-skeleton A1 A5 A6) \n                                            Definition illtyped, \n                                           if (A4 = arity A7) \n                                            (if-verbose\n                                              (coq.say\n                                                HB: skipping section opening)\n                                              , A8 = A6) \n                                            (,\n                                              (, (new_int A21) \n                                                (std.any->string A21 A22) \n                                                (A9 is hb_instance_ ^ A22)) \n                                              (log.coq.env.begin-section A9) \n                                              (instance.private.postulate-arity\n                                                A4 [] A6 A8 A7)), \n                                           std.assert!\n                                            (coq.safe-dest-app A7 \n                                              (global A10) A11) \n                                            The type of the instance is not a factory, \n                                           factory-alias->gref A10 A12, \n                                           std.assert!\n                                            (factory-nparams A12 A13) \n                                            Not a factory synthesized by HB, \n                                           instance.private.hack-section-discharging\n                                            A8 A14, \n                                           instance.private.optimize-body\n                                            A14 A15, \n                                           if (A0 = _) \n                                            (, (new_int A23) \n                                              (std.any->string A23 A24) \n                                              (A16 is\n                                                HB_unnamed_factory_ ^ A24)) \n                                            (A16 = A0), \n                                           log.coq.env.add-const-noimplicits-failondup\n                                            A16 A15 A7 ff A17, \n                                           A18 = global (const A17), \n                                           std.drop A13 A11 [A19 | _], \n                                           instance.private.check-non-forgetful-inheritance\n                                            A19 A12, \n                                           instance.private.declare-instance\n                                            A12 A19 A18 A20 A3, \n                                           if (A4 = arity _) true \n                                            (if-verbose\n                                              (header A25 ,\n                                                coq.say A25 \n                                                 closing instance section) ,\n                                              log.coq.env.end-section-name A9), \n                                           acc-clauses current A20]).",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/instance.elpi",
-                    "line": 25,
-                    "column": 0,
-                    "character": 1064
-                  }
-                ]
-              }
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
             ],
-            "step_id": 98,
-            "runtime_id": 8
-          },
-          {
-            "rule": [
-              "UserRule",
-              {
-                "rule_text": "(with-logging A0) :- A0.",
-                "rule_loc": [
-                  "File",
-                  {
-                    "filename": "/home/gares/MATHCOMP/hierarchy-builder/HB/common/log.elpi",
-                    "line": 289,
-                    "column": 0,
-                    "character": 11419
-                  }
-                ]
-              }
-            ],
-            "step_id": 97,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
-            "step_id": 75,
-            "runtime_id": 8
-          },
-          {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -22798,7 +25677,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -22820,7 +25710,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -22830,7 +25723,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 119,
             "runtime_id": 8
           },
@@ -22930,12 +25825,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -22978,7 +25887,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -23153,12 +26073,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -23201,7 +26135,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -23344,12 +26289,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -23392,7 +26351,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -23558,12 +26528,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -23606,7 +26590,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -23783,12 +26778,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -23831,7 +26840,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -23853,7 +26873,14 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-skeleton" ] ],
+              "rule": [
+                "BuiltinRule",
+                {
+                  "name": "coq.elaborate-skeleton",
+                  "kind": "FFI",
+                  "payload": []
+                }
+              ],
               "events": []
             },
             "siblings": [
@@ -23873,7 +26900,14 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
             "step_id": 127,
             "runtime_id": 8
           },
@@ -23992,12 +27026,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -24040,7 +27088,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -24062,7 +27121,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -24078,12 +27140,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 128,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
             "step_id": 127,
             "runtime_id": 8
           },
@@ -24202,12 +27273,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -24250,7 +27335,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -24342,12 +27438,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 129,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 115,
             "runtime_id": 8
           },
@@ -24390,12 +27492,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -24529,12 +27653,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 129,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 115,
             "runtime_id": 8
           },
@@ -24577,12 +27707,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -24601,13 +27753,20 @@
         "current_goal_text": "var (app [global (indt «IsSelfA'.axioms_»), global (indt «nat»)])",
         "current_goal_predicate": "var",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "var" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "var" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 133,
             "runtime_id": 8
           },
@@ -24650,12 +27809,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 129,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 115,
             "runtime_id": 8
           },
@@ -24698,12 +27863,34 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 109,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 109,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 108,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 108,
             "runtime_id": 8
           }
@@ -24787,12 +27974,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
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+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
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+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
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@@ -24835,12 +28028,34 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -24943,12 +28158,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
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           },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
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@@ -24991,12 +28212,34 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25018,7 +28261,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -25033,12 +28279,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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@@ -25157,12 +28412,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25205,7 +28474,18 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25227,7 +28507,10 @@
         "successful_attempts": [
           {
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X98 := ok" ] ]
             },
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@@ -25237,12 +28520,21 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "FFI", "coq.elaborate-skeleton" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "coq.elaborate-skeleton",
+                "kind": "FFI",
+                "payload": []
+              }
+            ],
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@@ -25361,12 +28653,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25409,7 +28715,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25619,12 +28936,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25667,7 +28998,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25689,7 +29031,10 @@
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -25699,7 +29044,9 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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@@ -25837,12 +29184,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -25885,7 +29246,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -26101,12 +29473,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -26149,7 +29535,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -26347,12 +29744,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -26395,7 +29806,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -26417,7 +29839,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -26432,7 +29857,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -26570,12 +29997,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -26618,7 +30059,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -26671,7 +30123,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -26690,7 +30145,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -26828,12 +30286,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -26876,7 +30348,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -26950,7 +30433,10 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -27088,12 +30574,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -27136,7 +30636,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -27178,7 +30689,10 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -27316,12 +30830,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -27364,7 +30892,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -27429,7 +30968,10 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -27567,12 +31109,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -27615,7 +31171,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -27637,7 +31204,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -27652,12 +31222,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 151,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 147,
             "runtime_id": 8
           },
@@ -27795,12 +31370,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -27843,7 +31432,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -28047,12 +31647,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -28095,7 +31709,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -28307,12 +31932,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -28355,7 +31994,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -28582,12 +32232,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -28630,7 +32294,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -28881,12 +32556,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -28929,7 +32618,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -29219,12 +32919,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -29267,7 +32981,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -29525,12 +33250,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -29573,7 +33312,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -29827,12 +33577,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -29875,7 +33639,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -30101,12 +33876,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -30149,7 +33938,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -30555,12 +34355,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -30603,7 +34417,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -30829,12 +34654,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -30877,7 +34716,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -31183,12 +35033,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -31231,7 +35095,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -31540,12 +35415,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -31588,7 +35477,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -31836,12 +35736,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -31884,7 +35798,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -32149,12 +36074,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -32197,7 +36136,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -32610,12 +36560,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -32658,7 +36622,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -32950,12 +36925,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -32998,7 +36987,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -33265,12 +37265,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -33313,7 +37327,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -33545,12 +37570,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -33593,7 +37632,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -33868,12 +37918,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -33916,7 +37980,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -34148,12 +38223,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -34196,7 +38285,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -34460,12 +38560,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -34508,7 +38622,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -34788,12 +38913,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -34836,7 +38975,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -35132,12 +39282,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -35180,7 +39344,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -35483,12 +39658,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -35531,7 +39720,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -36005,12 +40205,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -36053,7 +40267,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -36124,7 +40349,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.env.const" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.env.const", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -36139,7 +40367,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.env.const" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.env.const", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 187,
             "runtime_id": 8
           },
@@ -36372,12 +40603,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -36420,7 +40665,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -36442,7 +40698,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -36457,12 +40716,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 188,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.env.const" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.env.const", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 187,
             "runtime_id": 8
           },
@@ -36695,12 +40959,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -36743,7 +41021,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -37054,12 +41343,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -37102,7 +41405,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -37463,12 +41777,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -37511,7 +41839,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -37890,12 +42229,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -37938,7 +42291,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -38338,12 +42702,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -38386,7 +42764,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -38799,12 +43188,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -38847,7 +43250,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -39248,12 +43662,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -39296,7 +43724,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -39715,12 +44154,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -39763,7 +44216,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -40191,12 +44655,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -40239,7 +44717,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -40619,12 +45108,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -40667,7 +45170,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -40972,12 +45486,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -41020,7 +45548,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -41350,12 +45889,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -41398,7 +45951,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -41417,13 +45981,20 @@
         "current_goal_text": "var (global (indc «IsSelfA'.Axioms_»))",
         "current_goal_predicate": "var",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "var" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "var" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 204,
             "runtime_id": 8
           },
@@ -41694,12 +46265,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -41742,7 +46327,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -42064,12 +46660,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -42112,7 +46722,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -42478,12 +47099,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -42526,7 +47161,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -42825,12 +47471,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -42873,7 +47533,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -43179,12 +47850,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -43227,7 +47912,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -43249,7 +47945,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -43259,7 +47958,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 210,
             "runtime_id": 8
           },
@@ -43511,12 +48212,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -43559,7 +48274,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -43612,7 +48338,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -43629,7 +48358,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 212,
             "runtime_id": 8
           },
@@ -43881,12 +48613,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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@@ -43929,7 +48675,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -43951,7 +48708,10 @@
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+              "rule": [
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+                { "name": "new_int", "kind": "FFI", "payload": [] }
+              ],
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             },
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@@ -43961,12 +48721,18 @@
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+              { "name": "and", "kind": "Logic", "payload": [] }
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@@ -44218,12 +48984,26 @@
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@@ -44266,7 +49046,18 @@
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@@ -44288,7 +49079,10 @@
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+                { "name": "eq", "kind": "Logic", "payload": [] }
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@@ -44298,17 +49092,25 @@
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@@ -44560,12 +49362,26 @@
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@@ -44608,7 +49424,18 @@
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@@ -44677,7 +49504,10 @@
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@@ -44929,12 +49759,26 @@
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@@ -44977,7 +49821,18 @@
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -44999,7 +49854,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "term_to_string", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
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@@ -45009,7 +49867,10 @@
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+            ],
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@@ -45033,7 +49894,10 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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@@ -45285,12 +50149,26 @@
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -45333,7 +50211,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -45355,7 +50244,10 @@
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+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X84 := 27" ] ]
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@@ -45365,12 +50257,17 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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+            ],
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@@ -45394,7 +50291,10 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -45646,12 +50546,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -45694,7 +50608,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -45767,7 +50692,10 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -46019,12 +50947,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -46067,7 +51009,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -46089,7 +51042,10 @@
         "successful_attempts": [
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "calc", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
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@@ -46101,7 +51057,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "calc", "kind": "FFI", "payload": [] }
+            ],
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@@ -46125,7 +51083,10 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -46377,12 +51338,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -46425,7 +51400,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -46447,7 +51433,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X85 := HB_unnamed_factory_27" ] ]
             },
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@@ -46457,12 +51446,16 @@
         "more_successful_attempts": [],
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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           },
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-            "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+            "rule": [
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+            ],
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@@ -46486,7 +51479,10 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+            ],
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@@ -46738,12 +51734,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -46786,7 +51796,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -47104,12 +52125,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -47152,7 +52187,18 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -47481,12 +52527,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -47529,7 +52589,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -47879,12 +52950,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -47927,7 +53012,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -48296,12 +53392,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -48344,7 +53454,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -48725,12 +53846,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -48773,7 +53908,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -49171,12 +54317,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -49219,7 +54379,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -49241,7 +54412,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "ground_term" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "ground_term", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -49251,7 +54425,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "ground_term" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "ground_term", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 228,
             "runtime_id": 8
           },
@@ -49598,12 +54775,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -49646,7 +54837,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -50041,12 +55243,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -50089,7 +55305,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -50439,12 +55666,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -50487,7 +55728,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -50856,12 +56108,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -50904,7 +56170,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -51279,12 +56556,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -51327,7 +56618,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -51349,7 +56651,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.env.add-const" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.env.add-const", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -51364,7 +56669,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.env.add-const" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.env.add-const", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 235,
             "runtime_id": 8
           },
@@ -51673,12 +56981,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -51721,7 +57043,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -51743,7 +57076,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X86 := «HB_unnamed_factory_27»" ] ]
             },
             "siblings": [],
@@ -51753,12 +57089,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 236,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.env.add-const" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.env.add-const", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 235,
             "runtime_id": 8
           },
@@ -52067,12 +57408,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -52115,7 +57470,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -52509,12 +57875,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -52557,7 +57937,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -52952,12 +58343,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -53000,7 +58405,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -53420,12 +58836,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -53468,7 +58898,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -53883,12 +59324,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -53931,7 +59386,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -54399,12 +59865,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -54447,7 +59927,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -54469,7 +59960,14 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.elpi.accumulate" ] ],
+              "rule": [
+                "BuiltinRule",
+                {
+                  "name": "coq.elpi.accumulate",
+                  "kind": "FFI",
+                  "payload": []
+                }
+              ],
               "events": []
             },
             "siblings": [],
@@ -54479,7 +59977,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.elpi.accumulate" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.elpi.accumulate", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 244,
             "runtime_id": 8
           },
@@ -54864,12 +60365,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -54912,7 +60427,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -55325,12 +60851,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -55373,7 +60913,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -55793,12 +61344,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -55841,7 +61406,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -55860,13 +61436,20 @@
         "current_goal_text": "var (app [global (indt «IsSelfA'.axioms_»), global (indt «nat»)])",
         "current_goal_predicate": "var",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "var" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "var" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "var", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 248,
             "runtime_id": 8
           },
@@ -56232,12 +61815,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -56280,7 +61877,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -56697,12 +62305,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -56745,7 +62367,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -56767,7 +62400,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -56782,7 +62418,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 250,
             "runtime_id": 8
           },
@@ -57148,12 +62786,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -57196,7 +62848,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -57628,12 +63291,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -57676,7 +63353,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -58125,12 +63813,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -58173,7 +63875,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -58576,12 +64289,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -58624,7 +64351,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -59050,12 +64788,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -59098,7 +64850,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -59543,12 +65306,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -59591,7 +65368,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -59613,7 +65401,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -59628,7 +65419,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -60013,12 +65815,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -60061,7 +65877,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -60134,7 +65961,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -60519,12 +66357,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -60567,7 +66419,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -60670,7 +66533,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -61055,12 +66929,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -61103,7 +66991,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -61126,7 +67025,12 @@
           {
             "attempt": {
               "rule": [
-                "BuiltinRule", [ "FFI", "coq.arguments.set-implicit" ]
+                "BuiltinRule",
+                {
+                  "name": "coq.arguments.set-implicit",
+                  "kind": "FFI",
+                  "payload": []
+                }
               ],
               "events": []
             },
@@ -61138,7 +67042,12 @@
         "stack": [
           {
             "rule": [
-              "BuiltinRule", [ "FFI", "coq.arguments.set-implicit" ]
+              "BuiltinRule",
+              {
+                "name": "coq.arguments.set-implicit",
+                "kind": "FFI",
+                "payload": []
+              }
             ],
             "step_id": 261,
             "runtime_id": 8
@@ -61182,7 +67091,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -61567,12 +67487,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -61615,7 +67549,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -61743,7 +67688,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -62128,12 +68084,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -62176,7 +68146,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -62308,7 +68289,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -62693,12 +68685,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -62741,7 +68747,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -62866,7 +68883,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -63251,12 +69279,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -63299,7 +69341,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -63352,7 +69405,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X119 := tt" ] ]
             },
             "siblings": [],
@@ -63362,7 +69418,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 267,
             "runtime_id": 8
           },
@@ -63443,7 +69501,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -63828,12 +69897,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -63876,7 +69959,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -64017,7 +70111,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -64402,12 +70507,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -64450,7 +70569,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -64472,7 +70602,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -64491,7 +70624,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -64572,7 +70708,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -64957,12 +71104,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -65005,7 +71166,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -65027,7 +71199,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.gref->id" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.gref->id", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -65042,12 +71217,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.gref->id" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.gref->id", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 271,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -65128,7 +71309,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -65513,12 +71705,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -65561,7 +71767,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -65583,7 +71800,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X120 := HB_unnamed_factory_27" ] ]
             },
             "siblings": [],
@@ -65593,17 +71813,25 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 272,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.gref->id" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.gref->id", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 271,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -65684,7 +71912,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -66069,12 +72308,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -66117,7 +72370,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -66205,7 +72469,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -66286,7 +72553,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -66671,12 +72949,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -66719,7 +73011,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -66761,7 +73064,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -66842,7 +73148,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -67227,12 +73544,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -67275,7 +73606,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -67340,7 +73682,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 270,
             "runtime_id": 8
           },
@@ -67421,7 +73766,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -67806,12 +74162,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -67854,7 +74224,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -68001,7 +74382,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 258,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 258,
             "runtime_id": 8
           },
@@ -68386,12 +74778,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -68434,7 +74840,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -68885,12 +75302,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -68933,7 +75364,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -69270,12 +75712,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -69318,7 +75774,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -69340,7 +75807,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign", "X87 := global (const «HB_unnamed_factory_27»)"
@@ -69354,7 +75824,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 282,
             "runtime_id": 8
           },
@@ -69625,12 +76097,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -69673,7 +76159,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -70029,12 +76526,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -70077,7 +76588,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -70430,12 +76952,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -70478,7 +77014,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -70902,12 +77449,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -70950,7 +77511,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -71325,12 +77897,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -71373,7 +77959,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -71719,12 +78316,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -71767,7 +78378,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -72144,12 +78766,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -72192,7 +78828,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -72593,12 +79240,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -72641,7 +79302,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -73067,12 +79739,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -73115,7 +79801,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -73137,7 +79834,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -73153,7 +79853,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 294,
             "runtime_id": 8
           },
@@ -73519,12 +80222,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -73567,7 +80284,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -73634,7 +80362,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -74000,12 +80731,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -74048,7 +80793,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -74455,12 +81211,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -74503,7 +81273,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -74929,12 +81710,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -74977,7 +81772,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -75390,12 +82196,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -75438,7 +82258,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -75832,12 +82663,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -75880,7 +82725,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -76291,12 +83147,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -76339,7 +83209,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -76704,12 +83585,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -76752,7 +83647,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -77157,12 +84063,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -77205,7 +84125,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -77624,12 +84555,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -77672,7 +84617,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
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           }
@@ -78114,12 +85070,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -78162,7 +85132,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -78621,12 +85602,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -78669,7 +85664,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -79152,12 +86158,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -79200,7 +86220,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
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@@ -79694,12 +86725,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -79742,7 +86787,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -80263,12 +87319,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -80311,7 +87381,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -80849,12 +87930,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -80897,7 +87992,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -80919,7 +88025,10 @@
         "successful_attempts": [
           {
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-              "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+              ],
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             },
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@@ -80935,7 +88044,10 @@
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           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -81415,12 +88527,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -81463,7 +88589,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -81485,7 +88622,10 @@
         "successful_attempts": [
           {
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -81500,12 +88640,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -81985,12 +89130,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -82033,7 +89192,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -82055,7 +89225,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X146 := ok" ] ]
             },
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@@ -82065,12 +89238,17 @@
         "more_successful_attempts": [],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
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+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -82550,12 +89728,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -82598,7 +89790,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -83169,12 +90372,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -83217,7 +90434,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -83239,7 +90467,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -83249,7 +90480,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -83748,12 +90981,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -83796,7 +91043,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -84373,12 +91631,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -84421,7 +91693,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -84980,12 +92263,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -85028,7 +92325,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -85599,12 +92907,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -85647,7 +92969,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -86239,12 +93572,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -86287,7 +93634,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -86918,12 +94276,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
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@@ -86966,7 +94338,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -87566,12 +94949,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -87614,7 +95011,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -88181,12 +95589,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -88229,7 +95651,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -88769,12 +96202,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -88817,7 +96264,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -89376,12 +96834,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -89424,7 +96896,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -89989,12 +97472,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -90037,7 +97534,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -90605,12 +98113,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -90653,7 +98175,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -91265,12 +98798,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -91313,7 +98860,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -91928,12 +99486,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -91976,7 +99548,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -92562,12 +100145,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -92610,7 +100207,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -93226,12 +100834,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -93274,7 +100896,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -93899,12 +101532,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -93947,7 +101594,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -94752,12 +102410,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -94800,7 +102472,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -95425,12 +103108,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -95473,7 +103170,18 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -96178,12 +103886,26 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -96226,7 +103948,18 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -96934,12 +104667,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -96982,7 +104729,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -97622,12 +105380,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -97670,7 +105442,18 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -98324,12 +106107,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -98372,7 +106169,18 @@
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@@ -99041,12 +106849,26 @@
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+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -99089,7 +106911,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -99779,12 +107612,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -99827,7 +107674,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -100535,12 +108393,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -100583,7 +108455,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -101310,12 +109193,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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@@ -101358,7 +109255,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -102107,12 +110015,26 @@
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@@ -102155,7 +110077,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -102911,12 +110844,26 @@
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+            "rule": [
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@@ -102959,7 +110906,18 @@
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@@ -102981,7 +110939,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.string->name", "kind": "FFI", "payload": [] }
+              ],
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@@ -102993,7 +110954,10 @@
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@@ -103701,12 +111665,26 @@
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@@ -103749,7 +111727,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -103771,7 +111760,10 @@
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@@ -103781,12 +111773,17 @@
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@@ -104494,12 +112491,26 @@
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@@ -104542,7 +112553,18 @@
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@@ -105310,12 +113332,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -105358,7 +113394,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -106130,12 +114177,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -106178,7 +114239,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -106967,12 +115039,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -107015,7 +115101,18 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -107802,12 +115899,26 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -107850,7 +115961,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -107872,7 +115994,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+              "rule": [
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+                { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -107887,7 +116012,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -108614,12 +116742,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -108662,7 +116804,18 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -108684,7 +116837,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
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@@ -108703,12 +116859,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -109435,12 +117597,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -109483,7 +117659,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -109505,7 +117692,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "pi", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -109520,17 +117710,25 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -110257,12 +118455,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -110305,7 +118517,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -110327,7 +118550,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
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@@ -110342,22 +118568,41 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -111084,12 +119329,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -111132,7 +119391,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -111207,22 +119477,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -111949,12 +120238,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -111997,7 +120300,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -112100,22 +120414,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -112842,12 +121175,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -112890,7 +121237,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -113004,22 +121362,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -113746,12 +122123,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
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           },
@@ -113794,7 +122185,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -114213,7 +122615,10 @@
         ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 373,
             "runtime_id": 8
           },
@@ -114275,22 +122680,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -115017,12 +123441,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
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@@ -115065,7 +123503,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -115193,22 +123642,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -115935,12 +124403,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
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@@ -115983,7 +124465,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -116125,22 +124618,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -116867,12 +125379,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -116915,7 +125441,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -117059,22 +125596,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -117801,12 +126357,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -117849,7 +126419,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -118010,22 +126591,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -118752,12 +127352,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -118800,7 +127414,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -118963,22 +127588,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -119705,12 +128349,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -119753,7 +128411,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -119930,22 +128599,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -120672,12 +129360,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -120720,7 +129422,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -120902,22 +129615,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -121644,12 +130376,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
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@@ -121692,7 +130438,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -121871,22 +130628,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -122613,12 +131389,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -122661,7 +131451,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -122808,22 +131609,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -123550,12 +132370,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
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           },
@@ -123598,7 +132432,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -123759,22 +132604,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -124501,12 +133365,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -124549,7 +133427,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -124718,22 +133607,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -125460,12 +134368,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -125508,7 +134430,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -125688,22 +134621,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -126430,12 +135382,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -126478,7 +135444,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -126666,22 +135643,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -127408,12 +136404,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -127456,7 +136466,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -127652,22 +136673,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -128394,12 +137434,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -128442,7 +137496,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -128649,22 +137714,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -129391,12 +138475,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -129439,7 +138537,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -129637,22 +138746,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -130379,12 +139507,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -130427,7 +139569,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -130587,22 +139740,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -131329,12 +140501,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -131377,7 +140563,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -131563,22 +140760,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -132305,12 +141521,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -132353,7 +141583,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -132549,22 +141790,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -133291,12 +142551,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -133339,7 +142613,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -133556,22 +142841,41 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -134298,12 +143602,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -134346,7 +143664,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -134580,22 +143909,41 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -135322,12 +144670,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -135370,7 +144732,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -135392,7 +144765,10 @@
         "successful_attempts": [
           {
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-              "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
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@@ -135408,7 +144784,10 @@
         "more_successful_attempts": [],
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           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -135584,22 +144963,41 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -136326,12 +145724,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -136374,7 +145786,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -136396,7 +145819,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
                   "Assign",
@@ -136411,12 +145837,17 @@
         "more_successful_attempts": [],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
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+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -136592,22 +146023,41 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -137334,12 +146784,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -137382,7 +146846,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -137404,7 +146879,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X179^1 := ok" ] ]
             },
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@@ -137414,12 +146892,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 400,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -137595,22 +147078,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -138337,12 +147839,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -138385,7 +147901,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -138652,22 +148179,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -139394,12 +148940,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -139442,7 +149002,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -139464,7 +149035,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -139474,7 +149048,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -139669,22 +149245,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -140411,12 +150006,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -140459,7 +150068,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -140732,22 +150352,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -141474,12 +151113,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -141522,7 +151175,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -141544,7 +151208,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -141563,7 +151230,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -141739,22 +151409,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -142481,12 +152170,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -142529,7 +152232,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -142603,7 +152317,10 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -142779,22 +152496,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -143521,12 +153257,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
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+            ],
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@@ -143569,7 +153319,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -143679,7 +153440,10 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -143855,22 +153619,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -144597,12 +154380,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -144645,7 +154442,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -144787,7 +154595,10 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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@@ -144963,22 +154774,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -145705,12 +155535,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -145753,7 +155597,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -146039,22 +155894,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -146781,12 +156655,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -146829,7 +156717,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -147099,22 +156998,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -147841,12 +157759,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -147889,7 +157821,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -148173,22 +158116,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
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@@ -148915,12 +158877,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+            "runtime_id": 8
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@@ -148963,7 +158939,18 @@
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@@ -149273,22 +159260,41 @@
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -150015,12 +160021,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -150063,7 +160083,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -150134,7 +160165,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+              "rule": [
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+                { "name": "pi", "kind": "Logic", "payload": [] }
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@@ -150149,7 +160183,9 @@
         "more_successful_attempts": [],
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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@@ -150401,22 +160437,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -151143,12 +161198,26 @@
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+              { "name": "and", "kind": "Logic", "payload": [] }
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@@ -151191,7 +161260,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -151213,7 +161293,10 @@
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+                { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -151228,12 +161311,25 @@
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+            "runtime_id": 8
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@@ -151485,22 +161581,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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@@ -152227,12 +162342,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -152275,7 +162404,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -152391,12 +162531,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -152648,22 +162801,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+            "rule": [
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@@ -153390,12 +163562,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -153438,7 +163624,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -153562,12 +163759,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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@@ -153819,22 +164029,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -154561,12 +164790,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -154609,7 +164852,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -154882,12 +165136,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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@@ -155139,22 +165406,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -155881,12 +166167,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -155929,7 +166229,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -156022,12 +166333,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -156279,22 +166603,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -157021,12 +167364,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -157069,7 +167426,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -157219,12 +167587,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -157476,22 +167857,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -158218,12 +168618,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -158266,7 +168680,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -158528,12 +168953,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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@@ -158785,22 +169223,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -159527,12 +169984,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -159575,7 +170046,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -159676,12 +170158,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -159933,22 +170428,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -160675,12 +171189,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -160723,7 +171251,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -160843,12 +171382,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -161100,22 +171652,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -161842,12 +172413,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -161890,7 +172475,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -162021,12 +172617,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -162278,22 +172887,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -163020,12 +173648,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -163068,7 +173710,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -163217,12 +173870,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -163474,22 +174140,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -164216,12 +174901,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -164264,7 +174963,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -164312,7 +175022,10 @@
         "findall_solution_text": [ "X190^2 := []" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 434,
             "runtime_id": 8
           },
@@ -164412,12 +175125,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -164669,22 +175395,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -165411,12 +176156,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -165459,7 +176218,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -165600,12 +176370,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -165857,22 +176640,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -166599,12 +177401,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -166647,7 +177463,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -166769,12 +177596,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -167026,22 +177866,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -167768,12 +178627,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -167816,7 +178689,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -167838,7 +178722,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -167850,7 +178737,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 437,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 437,
             "runtime_id": 8
           },
@@ -167912,12 +178810,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -168169,22 +179080,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -168911,12 +179841,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -168959,7 +179903,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -169031,7 +179986,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 437,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 437,
             "runtime_id": 8
           },
@@ -169093,12 +180059,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -169350,22 +180329,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -170092,12 +181090,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -170140,7 +181152,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -170162,7 +181185,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "c0 = c0", "goal_id": 1633 } ],
@@ -170172,7 +181198,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
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+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
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@@ -170196,7 +181224,18 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -170258,12 +181297,25 @@
             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -170515,22 +181567,41 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -171257,12 +182328,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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@@ -171305,7 +182390,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -171327,7 +182423,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
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             },
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@@ -171337,12 +182436,16 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
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+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
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@@ -171366,7 +182469,18 @@
             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 437,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -171428,12 +182542,25 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            ],
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@@ -171685,22 +182812,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -172427,12 +183573,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -172475,7 +183635,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -172503,7 +183674,10 @@
         "successful_attempts": [
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X184 c0 c1 := c0" ] ]
             },
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@@ -172513,7 +183687,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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@@ -172537,7 +183713,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -172599,12 +183786,25 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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@@ -172856,22 +184056,41 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -173598,12 +184817,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -173646,7 +184879,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -173775,12 +185019,25 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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@@ -174032,22 +185289,41 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -174774,12 +186050,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -174822,7 +186112,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -174964,12 +186265,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            ],
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@@ -175221,22 +186535,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -175963,12 +187296,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -176011,7 +187358,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -176161,12 +187519,25 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -176418,22 +187789,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -177160,12 +188550,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -177208,7 +188612,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -177376,12 +188791,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -177633,22 +189061,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -178375,12 +189822,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -178423,7 +189884,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -178471,7 +189943,10 @@
         "findall_solution_text": [ "X197^2 := []" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 448,
             "runtime_id": 8
           },
@@ -178590,12 +190065,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -178847,22 +190335,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -179589,12 +191096,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -179637,7 +191158,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -179797,12 +191329,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -180054,22 +191599,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -180796,12 +192360,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -180844,7 +192422,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -180985,12 +192574,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -181242,22 +192844,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -181984,12 +193605,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -182032,7 +193667,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -182054,7 +193700,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -182069,7 +193718,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -182150,12 +193810,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -182407,22 +194080,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -183149,12 +194841,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -183197,7 +194903,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -183272,7 +194989,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -183353,12 +195081,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -183610,22 +195351,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -184352,12 +196112,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -184400,7 +196174,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -184434,7 +196219,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -184515,12 +196311,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -184772,22 +196581,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -185514,12 +197342,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -185562,7 +197404,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -185644,7 +197497,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -185725,12 +197589,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -185982,22 +197859,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -186724,12 +198620,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -186772,7 +198682,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -186791,13 +198712,20 @@
         "current_goal_text": "name (app [global (const «Builders_18.HB_unnamed_factory_20»), c0, c1])",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 455,
             "runtime_id": 8
           },
@@ -186821,7 +198749,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -186902,12 +198841,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -187159,22 +199111,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -187901,12 +199872,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -187949,7 +199934,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -188026,7 +200022,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -188107,12 +200114,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -188364,22 +200384,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -189106,12 +201145,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -189154,7 +201207,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -189261,7 +201325,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
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@@ -189342,12 +201417,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -189599,22 +201687,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -190341,12 +202448,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -190389,7 +202510,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -190509,7 +202641,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -190590,12 +202733,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -190847,22 +203003,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -191589,12 +203764,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -191637,7 +203826,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
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@@ -191656,13 +203856,20 @@
         "current_goal_text": "name (global (const «Builders_18.HB_unnamed_factory_20»))",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 460,
             "runtime_id": 8
           },
@@ -191724,7 +203931,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
           },
@@ -191805,12 +204023,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -192062,22 +204293,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -192804,12 +205054,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -192852,7 +205116,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -192964,7 +205239,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -193045,12 +205331,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -193302,22 +205601,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -194044,12 +206362,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -194092,7 +206424,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -194209,7 +206552,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -194290,12 +206644,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -194547,22 +206914,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -195289,12 +207675,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -195337,7 +207737,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -195466,7 +207877,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 451,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 451,
             "runtime_id": 8
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@@ -195547,12 +207969,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -195804,22 +208239,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -196546,12 +209000,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
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@@ -196594,7 +209062,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -196616,7 +209095,10 @@
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@@ -204128,7 +217026,18 @@
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@@ -204265,7 +217181,18 @@
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@@ -204346,12 +217273,25 @@
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@@ -205345,12 +218304,26 @@
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@@ -205393,7 +218366,18 @@
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@@ -205421,7 +218405,10 @@
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@@ -205869,22 +218882,41 @@
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@@ -206611,12 +219643,26 @@
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@@ -206659,7 +219705,18 @@
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@@ -206887,12 +219955,25 @@
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@@ -207144,22 +220225,41 @@
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@@ -207886,12 +220986,26 @@
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@@ -207934,7 +221048,18 @@
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@@ -208073,12 +221198,25 @@
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@@ -208330,22 +221468,41 @@
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@@ -209072,12 +222229,26 @@
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@@ -209120,7 +222291,18 @@
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@@ -209281,12 +222463,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -209538,22 +222733,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -210280,12 +223494,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -210328,7 +223556,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -210497,12 +223736,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -210754,22 +224006,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -211496,12 +224767,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -211544,7 +224829,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -211731,12 +225027,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -211988,22 +225297,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -212730,12 +226058,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -212778,7 +226120,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -212826,7 +226179,10 @@
         "findall_solution_text": [ "X215^2 := []" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 482,
             "runtime_id": 8
           },
@@ -212964,12 +226320,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -213221,22 +226590,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -213963,12 +227351,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -214011,7 +227413,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -214190,12 +227603,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -214447,22 +227873,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -215189,12 +228634,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -215237,7 +228696,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -215397,12 +228867,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -215654,22 +229137,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -216396,12 +229898,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -216444,7 +229960,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -216466,7 +229993,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -216481,7 +230011,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -216581,12 +230122,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -216838,22 +230392,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -217580,12 +231153,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -217628,7 +231215,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -217703,7 +231301,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -217803,12 +231412,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -218060,22 +231682,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -218802,12 +232443,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -218850,7 +232505,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -218884,7 +232550,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -218984,12 +232661,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -219241,22 +232931,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -219983,12 +233692,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -220031,7 +233754,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -220113,7 +233847,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -220213,12 +233958,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -220470,22 +234228,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -221212,12 +234989,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -221260,7 +235051,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -221279,13 +235081,20 @@
         "current_goal_text": "name (app [global (const «Builders_18.HB_unnamed_factory_22»), c0, c1])",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 489,
             "runtime_id": 8
           },
@@ -221309,7 +235118,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -221409,12 +235229,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -221666,22 +235499,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -222408,12 +236260,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -222456,7 +236322,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -222533,7 +236410,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -222633,12 +236521,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -222890,22 +236791,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -223632,12 +237552,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -223680,7 +237614,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -223787,7 +237732,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -223887,12 +237843,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -224144,22 +238113,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -224886,12 +238874,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -224934,7 +238936,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -225054,7 +239067,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -225154,12 +239178,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -225411,22 +239448,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -226153,12 +240209,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -226201,7 +240271,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -226220,13 +240301,20 @@
         "current_goal_text": "name (global (const «Builders_18.HB_unnamed_factory_22»))",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 494,
             "runtime_id": 8
           },
@@ -226288,7 +240376,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -226388,12 +240487,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -226645,22 +240757,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -227387,12 +241518,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -227435,7 +241580,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -227547,7 +241703,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -227647,12 +241814,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -227904,22 +242084,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -228646,12 +242845,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -228694,7 +242907,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -228811,7 +243035,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 485,
             "runtime_id": 8
           },
@@ -228911,12 +243146,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -229168,22 +243416,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -229910,12 +244177,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
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@@ -229958,7 +244239,18 @@
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@@ -230087,7 +244379,18 @@
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@@ -230187,12 +244490,25 @@
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@@ -230444,22 +244760,41 @@
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@@ -231186,12 +245521,26 @@
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@@ -231234,7 +245583,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -231256,7 +245616,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
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@@ -231266,7 +245629,9 @@
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@@ -231347,7 +245712,18 @@
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@@ -231447,12 +245823,25 @@
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@@ -231704,22 +246093,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -232446,12 +246854,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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@@ -232494,7 +246916,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -232516,7 +246949,10 @@
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
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@@ -232526,12 +246962,16 @@
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+            ],
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-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
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+            ],
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@@ -232612,7 +247052,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -232712,12 +247163,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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@@ -232969,22 +247433,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -233711,12 +248194,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -233759,7 +248256,18 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -233787,7 +248295,10 @@
         "successful_attempts": [
           {
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X223 c0 c1 := c0" ] ]
             },
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@@ -233797,7 +248308,9 @@
         "more_successful_attempts": [],
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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@@ -233878,7 +248391,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -233978,12 +248502,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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@@ -234235,22 +248772,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -234977,12 +249533,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -235025,7 +249595,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -235161,7 +249742,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -235261,12 +249853,25 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            ],
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@@ -235518,22 +250123,41 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -236260,12 +250884,26 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -236308,7 +250946,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -236456,7 +251105,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -236556,12 +251216,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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@@ -236813,22 +251486,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -237555,12 +252247,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -237603,7 +252309,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -237625,7 +252342,10 @@
         "successful_attempts": [
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+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "c1 = c1", "goal_id": 1721 } ],
@@ -237635,7 +252355,9 @@
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           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
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@@ -237735,7 +252457,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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@@ -237835,12 +252568,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -238092,22 +252838,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -238834,12 +253599,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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@@ -238882,7 +253661,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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@@ -238904,7 +253694,10 @@
         "successful_attempts": [
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
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             },
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@@ -238914,12 +253707,16 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
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+            ],
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@@ -239019,7 +253816,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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@@ -239119,12 +253927,25 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            ],
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@@ -239376,22 +254197,41 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -240118,12 +254958,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -240166,7 +255020,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -240194,7 +255059,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X225 c0 c1 := c1" ] ]
             },
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@@ -240204,7 +255072,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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@@ -240304,7 +255174,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 485,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -240404,12 +255285,25 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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@@ -240661,22 +255555,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -241403,12 +256316,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -241451,7 +256378,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -241598,7 +256536,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -241698,12 +256647,25 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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@@ -241955,22 +256917,41 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -242697,12 +257678,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
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@@ -242745,7 +257740,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -242886,12 +257892,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -243143,22 +258162,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -243885,12 +258923,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -243933,7 +258985,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -244040,12 +259103,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -244297,22 +259373,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -245039,12 +260134,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -245087,7 +260196,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -245109,7 +260229,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "trace.counter", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "X227^2 = 0", "goal_id": 1727 } ],
@@ -245119,7 +260242,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "trace.counter", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 514,
             "runtime_id": 8
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@@ -245162,12 +260288,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
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@@ -245419,22 +260558,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -246161,12 +261319,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -246209,7 +261381,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -246231,7 +261414,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X227^2 := 0" ] ]
             },
             "siblings": [],
@@ -246241,12 +261427,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 515,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "trace.counter", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 514,
             "runtime_id": 8
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@@ -246289,12 +261480,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -246546,22 +261750,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -247288,12 +262511,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -247336,7 +262573,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -247446,12 +262694,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -247703,22 +262964,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -248445,12 +263725,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -248493,7 +263787,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -248619,12 +263924,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -248876,22 +264194,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -249618,12 +264955,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -249666,7 +265017,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -249688,7 +265050,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -249698,7 +265063,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 518,
             "runtime_id": 8
           },
@@ -249779,12 +265146,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -250036,22 +265416,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -250778,12 +266177,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -250826,7 +266239,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -250956,12 +266380,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -251213,22 +266650,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -251955,12 +267411,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -252003,7 +267473,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -252106,12 +267587,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -252363,22 +267857,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -253105,12 +268618,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -253153,7 +268680,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -253275,12 +268813,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -253532,22 +269083,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -254274,12 +269844,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -254322,7 +269906,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -254437,12 +270032,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -254694,22 +270302,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -255436,12 +271063,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -255484,7 +271125,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -255537,7 +271189,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.say", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -255547,7 +271202,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.say", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 525,
             "runtime_id": 8
           },
@@ -255609,12 +271267,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -255866,22 +271537,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -256608,12 +272298,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -256656,7 +272360,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -256759,12 +272474,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -257016,22 +272744,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -257758,12 +273505,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -257806,7 +273567,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -257970,12 +273742,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -258227,22 +274012,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -258969,12 +274773,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -259017,7 +274835,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -259070,7 +274899,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.say", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -259080,7 +274912,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.say", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 530,
             "runtime_id": 8
           },
@@ -259142,12 +274977,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 421,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 421,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 420,
             "runtime_id": 8
           },
@@ -259399,22 +275247,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -260141,12 +276008,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -260189,7 +276070,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -260535,22 +276427,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -261277,12 +277188,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -261325,7 +277250,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -261526,22 +277462,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -262268,12 +278223,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -262316,7 +278285,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -262531,22 +278511,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -263273,12 +279272,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -263321,7 +279334,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -263557,22 +279581,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
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@@ -264299,12 +280342,26 @@
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -264347,7 +280404,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -264600,22 +280668,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -265342,12 +281429,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              "BuiltinRule",
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@@ -265390,7 +281491,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              "BuiltinRule",
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@@ -265412,7 +281524,10 @@
         "successful_attempts": [
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+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+              ],
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@@ -265428,7 +281543,10 @@
         "more_successful_attempts": [],
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+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
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@@ -265623,22 +281741,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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@@ -266365,12 +282502,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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@@ -266413,7 +282564,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -266435,7 +282597,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [
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@@ -266450,12 +282615,17 @@
         "more_successful_attempts": [],
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
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+            "rule": [
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+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -266650,22 +282820,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -267392,12 +283581,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -267440,7 +283643,18 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -267462,7 +283676,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X234^1 := ok" ] ]
             },
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@@ -267472,12 +283689,17 @@
         "more_successful_attempts": [],
         "stack": [
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-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "FFI", "coq.typecheck" ] ],
+            "rule": [
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+              { "name": "coq.typecheck", "kind": "FFI", "payload": [] }
+            ],
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@@ -267672,22 +283894,41 @@
             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            ],
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -268414,12 +284655,26 @@
             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -268462,7 +284717,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -268748,22 +285014,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -269490,12 +285775,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -269538,7 +285837,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -269560,7 +285870,10 @@
         "successful_attempts": [
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-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -269570,7 +285883,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -269784,22 +286099,41 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -270526,12 +286860,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -270574,7 +286922,18 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -270866,22 +287225,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -271608,12 +287986,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -271656,7 +288048,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -271678,7 +288081,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -271697,7 +288103,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 547,
             "runtime_id": 8
           },
@@ -271892,22 +288301,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -272634,12 +289062,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -272682,7 +289124,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -272756,7 +289209,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 547,
             "runtime_id": 8
           },
@@ -272951,22 +289407,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -273693,12 +290168,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -273741,7 +290230,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -273851,7 +290351,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 547,
             "runtime_id": 8
           },
@@ -274046,22 +290549,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -274788,12 +291310,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -274836,7 +291372,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -274978,7 +291525,10 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 547,
             "runtime_id": 8
           },
@@ -275173,22 +291723,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -275915,12 +292484,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -275963,7 +292546,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -276268,22 +292862,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -277010,12 +293623,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -277058,7 +293685,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -277347,22 +293985,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -278089,12 +294746,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -278137,7 +294808,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -278440,22 +295122,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -279182,12 +295883,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -279230,7 +295945,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -279559,22 +296285,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -280301,12 +297046,26 @@
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@@ -280349,7 +297108,18 @@
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@@ -280420,7 +297190,10 @@
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@@ -280435,7 +297208,9 @@
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@@ -280706,22 +297481,41 @@
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@@ -281448,12 +298242,26 @@
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@@ -281496,7 +298304,18 @@
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@@ -281518,7 +298337,10 @@
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@@ -281533,12 +298355,25 @@
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@@ -281809,22 +298644,41 @@
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@@ -282551,12 +299405,26 @@
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@@ -282599,7 +299467,18 @@
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@@ -282715,12 +299594,25 @@
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@@ -282991,22 +299883,41 @@
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@@ -283733,12 +300644,26 @@
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@@ -283781,7 +300706,18 @@
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@@ -283905,12 +300841,25 @@
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@@ -284181,22 +301130,41 @@
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@@ -284923,12 +301891,26 @@
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@@ -284971,7 +301953,18 @@
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@@ -285244,12 +302237,25 @@
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@@ -285520,22 +302526,41 @@
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@@ -286262,12 +303287,26 @@
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@@ -286310,7 +303349,18 @@
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@@ -286403,12 +303453,25 @@
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@@ -286679,22 +303742,41 @@
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@@ -287421,12 +304503,26 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -287469,7 +304565,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -287596,12 +304703,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -287872,22 +304992,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -288614,12 +305753,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -288662,7 +305815,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -288895,12 +306059,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -289171,22 +306348,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -289913,12 +307109,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -289961,7 +307171,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -290062,12 +307283,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -290338,22 +307572,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -291080,12 +308333,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -291128,7 +308395,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -291251,12 +308529,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -291527,22 +308818,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -292269,12 +309579,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -292317,7 +309641,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -292448,12 +309783,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -292724,22 +310072,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -293466,12 +310833,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -293514,7 +310895,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -293663,12 +311055,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -293939,22 +311344,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -294681,12 +312105,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -294729,7 +312167,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -294777,7 +312226,10 @@
         "findall_solution_text": [ "X245^2 := []" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 574,
             "runtime_id": 8
           },
@@ -294877,12 +312329,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -295153,22 +312618,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -295895,12 +313379,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -295943,7 +313441,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -296084,12 +313593,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
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@@ -296360,22 +313882,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -297102,12 +314643,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -297150,7 +314705,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -297272,12 +314838,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -297548,22 +315127,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -298290,12 +315888,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -298338,7 +315950,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -298360,7 +315983,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -298375,7 +316001,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -298437,12 +316074,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
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@@ -298713,22 +316363,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -299455,12 +317124,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -299503,7 +317186,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -299578,7 +317272,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -299640,12 +317345,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -299916,22 +317634,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -300658,12 +318395,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -300706,7 +318457,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -300740,7 +318502,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -300802,12 +318575,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -301078,22 +318864,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -301820,12 +319625,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -301868,7 +319687,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -301950,7 +319780,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -302012,12 +319853,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -302288,22 +320142,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -303030,12 +320903,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -303078,7 +320965,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -303097,13 +320995,20 @@
         "current_goal_text": "name\n (app\n   [global\n     (const «Builders_18.Builders_18_T__canonical__interleave_context_A»), \n    c0, c1])",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 581,
             "runtime_id": 8
           },
@@ -303127,7 +321032,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -303189,12 +321105,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -303465,22 +321394,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -304207,12 +322155,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -304255,7 +322217,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -304332,7 +322305,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -304394,12 +322378,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -304670,22 +322667,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -305412,12 +323428,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -305460,7 +323490,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -305567,7 +323608,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -305629,12 +323681,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -305905,22 +323970,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -306647,12 +324731,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -306695,7 +324793,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -306815,7 +324924,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -306877,12 +324997,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -307153,22 +325286,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -307895,12 +326047,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -307943,7 +326109,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -307962,13 +326139,20 @@
         "current_goal_text": "name\n (global\n   (const «Builders_18.Builders_18_T__canonical__interleave_context_A»))",
         "current_goal_predicate": "name",
         "failed_attempts": [
-          { "rule": [ "BuiltinRule", [ "FFI", "name" ] ], "events": [] }
+          {
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
+            "events": []
+          }
         ],
         "successful_attempts": [],
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
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@@ -308030,7 +326214,18 @@
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@@ -308092,12 +326287,25 @@
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@@ -308368,22 +326576,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -309110,12 +327337,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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@@ -309158,7 +327399,18 @@
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@@ -309270,7 +327522,18 @@
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@@ -309332,12 +327595,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -309608,22 +327884,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -310350,12 +328645,26 @@
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@@ -310398,7 +328707,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -310515,7 +328835,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -310577,12 +328908,25 @@
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@@ -310853,22 +329197,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -311595,12 +329958,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -311643,7 +330020,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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@@ -311772,7 +330160,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+            "runtime_id": 8
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@@ -311834,12 +330233,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            ],
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@@ -312110,22 +330522,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -312852,12 +331283,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -312900,7 +331345,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -312922,7 +331378,10 @@
         "successful_attempts": [
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             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "c0 = c0", "goal_id": 1817 } ],
@@ -312932,7 +331391,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
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@@ -313013,7 +331474,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -313075,12 +331547,25 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
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+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -313351,22 +331836,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -314093,12 +332597,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -314141,7 +332659,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -314163,7 +332692,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
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@@ -314173,12 +332705,16 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 592,
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           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
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@@ -314259,7 +332795,18 @@
             "runtime_id": 8
           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -314321,12 +332868,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -314597,22 +333157,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -315339,12 +333918,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -315387,7 +333980,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -315415,7 +334019,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X253 c0 c1 := c0" ] ]
             },
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@@ -315425,7 +334032,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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@@ -315506,7 +334115,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -315568,12 +334188,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -315844,22 +334477,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -316586,12 +335238,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -316634,7 +335300,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -316770,7 +335447,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -316832,12 +335520,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+            ],
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@@ -317108,22 +335809,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
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+            "rule": [
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -317850,12 +336570,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -317898,7 +336632,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -318046,7 +336791,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -318108,12 +336864,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -318384,22 +337153,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -319126,12 +337914,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -319174,7 +337976,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -319196,7 +338009,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "c1 = c1", "goal_id": 1824 } ],
@@ -319206,7 +338022,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 598,
             "runtime_id": 8
           },
@@ -319306,7 +338124,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -319368,12 +338197,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
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@@ -319644,22 +338486,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
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@@ -320386,12 +339247,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -320434,7 +339309,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -320456,7 +339342,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -320466,12 +339355,16 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 599,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 598,
             "runtime_id": 8
           },
@@ -320571,7 +339464,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -320633,12 +339537,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -320909,22 +339826,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -321651,12 +340587,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -321699,7 +340649,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -321727,7 +340688,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X255 c0 c1 := c1" ] ]
             },
             "siblings": [],
@@ -321737,7 +340701,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 601,
             "runtime_id": 8
           },
@@ -321837,7 +340803,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -321899,12 +340876,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -322175,22 +341165,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -322917,12 +341926,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -322965,7 +341988,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -323112,7 +342146,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 577,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 577,
             "runtime_id": 8
           },
@@ -323174,12 +342219,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -323450,22 +342508,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -324192,12 +343269,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -324240,7 +343331,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -324357,12 +343459,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -324633,22 +343748,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -325375,12 +344509,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -325423,7 +344571,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -325562,12 +344721,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -325838,22 +345010,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -326580,12 +345771,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -326628,7 +345833,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -326778,12 +345994,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -327054,22 +346283,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -327796,12 +347044,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -327844,7 +347106,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -328012,12 +347285,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -328288,22 +347574,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -329030,12 +348335,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -329078,7 +348397,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -329126,7 +348456,10 @@
         "findall_solution_text": [ "X263^2 := []" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 608,
             "runtime_id": 8
           },
@@ -329245,12 +348578,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -329521,22 +348867,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -330263,12 +349628,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -330311,7 +349690,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -330471,12 +349861,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -330747,22 +350150,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -331489,12 +350911,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -331537,7 +350973,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -331678,12 +351125,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -331954,22 +351414,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -332696,12 +352175,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -332744,7 +352237,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -332766,7 +352270,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -332778,7 +352285,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 611,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 611,
             "runtime_id": 8
           },
@@ -332859,12 +352377,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -333135,22 +352666,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -333877,12 +353427,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -333925,7 +353489,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -333997,7 +353572,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 611,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 611,
             "runtime_id": 8
           },
@@ -334078,12 +353664,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -334354,22 +353953,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -335096,12 +354714,26 @@
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+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -335144,7 +354776,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+              "BuiltinRule",
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@@ -335166,7 +354809,10 @@
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+              "rule": [
+                "BuiltinRule",
+                { "name": "name", "kind": "FFI", "payload": [] }
+              ],
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             },
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@@ -335176,7 +354822,9 @@
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+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
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@@ -335200,7 +354848,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -335281,12 +354940,25 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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@@ -335557,22 +355229,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -336299,12 +355990,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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+            ],
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+            "runtime_id": 8
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+            ],
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@@ -336347,7 +356052,18 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -336369,7 +356085,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
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             },
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@@ -336379,12 +356098,16 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "name" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "name", "kind": "FFI", "payload": [] }
+            ],
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@@ -336408,7 +356131,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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@@ -336489,12 +356223,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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@@ -336765,22 +356512,41 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -337507,12 +357273,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -337555,7 +357335,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -337583,7 +357374,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X257 c0 c1 := c0" ] ]
             },
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@@ -337593,7 +357387,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
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+            ],
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@@ -337617,7 +357413,18 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -337698,12 +357505,25 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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@@ -337974,22 +357794,41 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            ],
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -338716,12 +358555,26 @@
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
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-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -338764,7 +358617,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
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+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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@@ -338892,12 +358756,25 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
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@@ -339168,22 +359045,41 @@
             "runtime_id": 8
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
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@@ -339910,12 +359806,26 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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+            ],
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@@ -339958,7 +359868,18 @@
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -340065,12 +359986,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
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+            ],
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@@ -340341,22 +360275,41 @@
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           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+              { "name": "implication", "kind": "Logic", "payload": [] }
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+            "runtime_id": 8
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           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "and", "kind": "Logic", "payload": [] }
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-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
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+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -341083,12 +361036,26 @@
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-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -341131,7 +361098,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -341153,7 +361131,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "trace.counter", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "X264^2 = 0", "goal_id": 1846 } ],
@@ -341163,7 +361144,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "trace.counter", "kind": "FFI", "payload": [] }
+            ],
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@@ -341206,12 +361190,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -341482,22 +361479,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
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           },
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-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
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+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -342224,12 +362240,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -342272,7 +362302,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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@@ -342294,7 +362335,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X264^2 := 0" ] ]
             },
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@@ -342304,12 +362348,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 621,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "trace.counter" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "trace.counter", "kind": "FFI", "payload": [] }
+            ],
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             "runtime_id": 8
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@@ -342352,12 +362401,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
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+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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@@ -342628,22 +362690,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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+            "runtime_id": 8
+          },
+          {
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+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
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@@ -343370,12 +363451,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           },
@@ -343418,7 +363513,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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           }
@@ -343528,12 +363634,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -343804,22 +363923,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -344546,12 +364684,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           },
@@ -344594,7 +364746,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
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             "runtime_id": 8
           }
@@ -344720,12 +364883,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -344996,22 +365172,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -345738,12 +365933,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -345786,7 +365995,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -345808,7 +366028,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -345818,7 +366041,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 624,
             "runtime_id": 8
           },
@@ -345899,12 +366124,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -346175,22 +366413,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -346917,12 +367174,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -346965,7 +367236,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -347095,12 +367377,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -347371,22 +367666,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -348113,12 +368427,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -348161,7 +368489,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -348264,12 +368603,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -348540,22 +368892,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -349282,12 +369653,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -349330,7 +369715,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -349452,12 +369848,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -349728,22 +370137,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -350470,12 +370898,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -350518,7 +370960,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -350633,12 +371086,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -350909,22 +371375,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -351651,12 +372136,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -351699,7 +372198,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -351752,7 +372262,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "coq.say", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -351762,7 +372275,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "coq.say" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "coq.say", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 631,
             "runtime_id": 8
           },
@@ -351824,12 +372340,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -352100,22 +372629,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -352842,12 +373390,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -352890,7 +373452,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -353028,12 +373601,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -353304,22 +373890,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -354046,12 +374651,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -354094,7 +374713,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -354222,12 +374852,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -354498,22 +375141,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -355240,12 +375902,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -355288,7 +375964,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -355486,12 +376173,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -355762,22 +376462,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -356504,12 +377223,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -356552,7 +377285,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -356670,12 +377414,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -356946,22 +377703,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -357688,12 +378464,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -357736,7 +378526,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
@@ -357882,12 +378683,25 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 561,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 561,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 560,
             "runtime_id": 8
           },
@@ -358158,22 +378972,41 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 369,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 369,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 368,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 367,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 366,
             "runtime_id": 8
           },
@@ -358900,12 +379733,26 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 75,
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 74,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 74,
             "runtime_id": 8
           },
@@ -358948,7 +379795,18 @@
             "runtime_id": 8
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 1,
+            "runtime_id": 8
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 1,
             "runtime_id": 8
           }
diff --git a/tests/sources/trace.elab.json b/tests/sources/trace.elab.json
index 01c064c12..a7429b3fa 100644
--- a/tests/sources/trace.elab.json
+++ b/tests/sources/trace.elab.json
@@ -374,7 +374,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "calc", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "1 = 5", "goal_id": 9 } ],
@@ -384,7 +387,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "calc", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
@@ -480,7 +485,9 @@
         "current_goal_predicate": "=",
         "failed_attempts": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "events": [ [ "Fail", "unify 1 with 5" ] ]
           }
         ],
@@ -488,12 +495,16 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "FFI", "calc" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "calc", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
@@ -693,7 +704,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X2 := 1" ] ]
             },
             "siblings": [],
@@ -703,7 +717,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 8,
             "runtime_id": 0
           },
@@ -782,7 +798,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [ [ "Assign", "X3 := 2" ] ]
             },
             "siblings": [],
@@ -792,7 +811,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 9,
             "runtime_id": 0
           },
@@ -869,7 +890,9 @@
         "current_goal_predicate": "=",
         "failed_attempts": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "events": [ [ "Fail", "unify 1 with 2" ] ]
           }
         ],
@@ -877,7 +900,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 10,
             "runtime_id": 0
           },
diff --git a/tests/sources/trace2.elab.json b/tests/sources/trace2.elab.json
index 540b9be56..04c0383f1 100644
--- a/tests/sources/trace2.elab.json
+++ b/tests/sources/trace2.elab.json
@@ -84,7 +84,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "print", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -94,7 +97,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "print", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 2,
             "runtime_id": 0
           },
@@ -135,7 +141,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "pi", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -150,7 +159,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -191,7 +202,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "sigma", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -203,12 +217,17 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -249,7 +268,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "true , fail", "goal_id": 9 } ],
@@ -259,17 +281,29 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "fail :- ." ]
+              }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -310,7 +344,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "and", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -323,22 +360,37 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "fail :- ." ]
+              }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -422,22 +474,37 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "fail :- ." ]
+              }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -499,22 +566,37 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "and" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "and", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "fail :- ." ]
+              }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "sigma" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "sigma", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
diff --git a/tests/sources/trace2.json b/tests/sources/trace2.json
index e82c9560b..1cbd4eb83 100644
--- a/tests/sources/trace2.json
+++ b/tests/sources/trace2.json
@@ -26,6 +26,7 @@
 {"step" : 5,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 5,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["9"]}
 {"step" : 5,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["true , fail"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["fail :- ."]}
 {"step" : 5,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 6,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:curgoal","payload" : [",","true , fail"]}
 {"step" : 6,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:rule","payload" : ["and"]}
diff --git a/tests/sources/trace_chr.elab.json b/tests/sources/trace_chr.elab.json
index 80a421723..a91a04fab 100644
--- a/tests/sources/trace_chr.elab.json
+++ b/tests/sources/trace_chr.elab.json
@@ -165,7 +165,10 @@
         "suspend_sibling": { "goal_text": "even X0", "goal_id": 10 },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -223,7 +226,10 @@
         "suspend_sibling": { "goal_text": "true", "goal_id": 11 },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
@@ -264,7 +270,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X0 := s X1" ], [ "ResumeGoal", [ 11, 10 ] ]
               ]
@@ -276,7 +285,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
@@ -372,12 +383,18 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
@@ -461,12 +478,18 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -593,12 +616,18 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -656,7 +685,10 @@
         "suspend_sibling": { "goal_text": "odd X1", "goal_id": 14 },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 10,
             "runtime_id": 0
           },
@@ -699,12 +731,18 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "resume" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "resume", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 6,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -948,7 +986,10 @@
         "suspend_sibling": { "goal_text": "even X1", "goal_id": 19 },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 13,
             "runtime_id": 0
           },
@@ -1244,7 +1285,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "fail", "goal_id": 24 } ],
@@ -1254,7 +1298,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 15,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 15,
             "runtime_id": 0
           }
@@ -1277,7 +1332,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 15,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 15,
             "runtime_id": 0
           }
diff --git a/tests/sources/trace_chr.json b/tests/sources/trace_chr.json
index 4f2b3a4c7..89b2021cf 100644
--- a/tests/sources/trace_chr.json
+++ b/tests/sources/trace_chr.json
@@ -130,6 +130,7 @@
 {"step" : 15,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 15,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["24"]}
 {"step" : 15,"kind" : ["Info"],"goal_id" : 24,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["fail"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 24,"runtime_id" : 0,"name" : "user:new-hyps","payload" : []}
 {"step" : 15,"kind" : ["Info"],"goal_id" : 24,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 16,"kind" : ["Info"],"goal_id" : 24,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["fail","fail"]}
 {"step" : 16,"kind" : ["Info"],"goal_id" : 24,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
diff --git a/tests/sources/trace_cut.elab.json b/tests/sources/trace_cut.elab.json
index 0c0461fa8..6c4acddb2 100644
--- a/tests/sources/trace_cut.elab.json
+++ b/tests/sources/trace_cut.elab.json
@@ -565,7 +565,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "(q :- !) => q", "goal_id": 12 } ],
@@ -575,7 +578,14 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "q :- ." ]
+              }
+            ],
             "step_id": 10,
             "runtime_id": 0
           },
@@ -616,7 +626,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "q", "goal_id": 13 } ],
@@ -626,12 +639,26 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "q :- !." ]
+              }
+            ],
             "step_id": 11,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "q :- ." ]
+              }
+            ],
             "step_id": 10,
             "runtime_id": 0
           },
@@ -693,12 +720,26 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "q :- !." ]
+              }
+            ],
             "step_id": 11,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "q :- ." ]
+              }
+            ],
             "step_id": 10,
             "runtime_id": 0
           },
diff --git a/tests/sources/trace_cut.json b/tests/sources/trace_cut.json
index 53b49d658..2fc42024b 100644
--- a/tests/sources/trace_cut.json
+++ b/tests/sources/trace_cut.json
@@ -59,11 +59,13 @@
 {"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["12"]}
 {"step" : 10,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["(q :- !) => q"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["q :- ."]}
 {"step" : 10,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","(q :- !) => q"]}
 {"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["13"]}
 {"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["q"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["q :- !."]}
 {"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["q","q"]}
 {"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
diff --git a/tests/sources/trace_findall.elab.json b/tests/sources/trace_findall.elab.json
index 1494884e5..c2a717f0f 100644
--- a/tests/sources/trace_findall.elab.json
+++ b/tests/sources/trace_findall.elab.json
@@ -429,7 +429,10 @@
         "findall_solution_text": [ "X0 := [p 1, p 2, p 3]" ],
         "findall_stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "findall" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "findall", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 3,
             "runtime_id": 0
           },
@@ -489,7 +492,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "print", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -499,7 +505,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "print", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 4,
             "runtime_id": 0
           },
diff --git a/tests/sources/trace_implication.elab.json b/tests/sources/trace_implication.elab.json
new file mode 100644
index 000000000..5b86bfcb4
--- /dev/null
+++ b/tests/sources/trace_implication.elab.json
@@ -0,0 +1,3293 @@
+[
+  {
+    "step_id": 0,
+    "runtime_id": 0,
+    "step": [ "Init", { "goal_text": "main", "goal_id": 4 } ],
+    "color": "Grey"
+  },
+  {
+    "step_id": 1,
+    "runtime_id": 0,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 4,
+        "current_goal_text": "main",
+        "current_goal_predicate": "main",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "tests/sources/trace_implication.elpi",
+                      "line": 8,
+                      "column": 0,
+                      "character": 136
+                    }
+                  ]
+                }
+              ],
+              "events": []
+            },
+            "siblings": [
+              {
+                "goal_text": "x0 => z0 ;\n (x1 , y1) => z1 ;\n  [x2, y2] => z2 ;\n   [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true",
+                "goal_id": 5
+              }
+            ],
+            "siblings_aggregated_outcome": "Success"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "tests/sources/trace_implication.elpi",
+                    "line": 8,
+                    "column": 0,
+                    "character": 136
+                  }
+                ]
+              }
+            ],
+            "step_id": 1,
+            "runtime_id": 0
+          }
+        ]
+      }
+    ],
+    "color": "Green"
+  },
+  {
+    "step_id": 2,
+    "runtime_id": 0,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 5,
+        "current_goal_text": "x0 => z0 ;\n (x1 , y1) => z1 ;\n  [x2, y2] => z2 ;\n   [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true",
+        "current_goal_predicate": ";",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "(A0 ; _) :- A0.",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "builtin.elpi",
+                      "line": 41,
+                      "column": 0,
+                      "character": 586
+                    }
+                  ]
+                }
+              ],
+              "events": [ [ "Assign", "A0 := x0 => z0" ] ]
+            },
+            "siblings": [ { "goal_text": "x0 => z0", "goal_id": 6 } ],
+            "siblings_aggregated_outcome": "Fail"
+          }
+        ],
+        "more_successful_attempts": [ 5 ],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(A0 ; _) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 41,
+                    "column": 0,
+                    "character": 586
+                  }
+                ]
+              }
+            ],
+            "step_id": 2,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "tests/sources/trace_implication.elpi",
+                    "line": 8,
+                    "column": 0,
+                    "character": 136
+                  }
+                ]
+              }
+            ],
+            "step_id": 1,
+            "runtime_id": 0
+          }
+        ]
+      }
+    ],
+    "color": "YellowGreen"
+  },
+  {
+    "step_id": 3,
+    "runtime_id": 0,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 6,
+        "current_goal_text": "x0 => z0",
+        "current_goal_predicate": "=>",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
+              "events": []
+            },
+            "siblings": [ { "goal_text": "z0", "goal_id": 7 } ],
+            "siblings_aggregated_outcome": "Fail"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "x0 :- ." ]
+              }
+            ],
+            "step_id": 3,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(A0 ; _) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 41,
+                    "column": 0,
+                    "character": 586
+                  }
+                ]
+              }
+            ],
+            "step_id": 2,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
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+            "step_id": 17,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 13,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 9,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 5,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "tests/sources/trace_implication.elpi",
+                    "line": 8,
+                    "column": 0,
+                    "character": 136
+                  }
+                ]
+              }
+            ],
+            "step_id": 1,
+            "runtime_id": 0
+          }
+        ]
+      }
+    ],
+    "color": "Red"
+  },
+  {
+    "step_id": 25,
+    "runtime_id": 0,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 20,
+        "current_goal_text": "[] => z5 ; true",
+        "current_goal_predicate": ";",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "(_ ; A0) :- A0.",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "builtin.elpi",
+                      "line": 43,
+                      "column": 0,
+                      "character": 601
+                    }
+                  ]
+                }
+              ],
+              "events": [ [ "Assign", "A0 := true" ] ]
+            },
+            "siblings": [ { "goal_text": "true", "goal_id": 23 } ],
+            "siblings_aggregated_outcome": "Success"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 25,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 21,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 17,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 13,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 9,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 5,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "tests/sources/trace_implication.elpi",
+                    "line": 8,
+                    "column": 0,
+                    "character": 136
+                  }
+                ]
+              }
+            ],
+            "step_id": 1,
+            "runtime_id": 0
+          }
+        ]
+      }
+    ],
+    "color": "Green"
+  },
+  {
+    "step_id": 26,
+    "runtime_id": 0,
+    "step": [
+      "Inference",
+      {
+        "current_goal_id": 23,
+        "current_goal_text": "true",
+        "current_goal_predicate": "true",
+        "failed_attempts": [],
+        "successful_attempts": [
+          {
+            "attempt": {
+              "rule": [
+                "UserRule",
+                {
+                  "rule_text": "true :- .",
+                  "rule_loc": [
+                    "File",
+                    {
+                      "filename": "builtin.elpi",
+                      "line": 11,
+                      "column": 0,
+                      "character": 147
+                    }
+                  ]
+                }
+              ],
+              "events": []
+            },
+            "siblings": [],
+            "siblings_aggregated_outcome": "Success"
+          }
+        ],
+        "more_successful_attempts": [],
+        "stack": [
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "true :- .",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 11,
+                    "column": 0,
+                    "character": 147
+                  }
+                ]
+              }
+            ],
+            "step_id": 26,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 25,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 21,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 17,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 13,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 9,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "(_ ; A0) :- A0.",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "builtin.elpi",
+                    "line": 43,
+                    "column": 0,
+                    "character": 601
+                  }
+                ]
+              }
+            ],
+            "step_id": 5,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "UserRule",
+              {
+                "rule_text": "main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true).",
+                "rule_loc": [
+                  "File",
+                  {
+                    "filename": "tests/sources/trace_implication.elpi",
+                    "line": 8,
+                    "column": 0,
+                    "character": 136
+                  }
+                ]
+              }
+            ],
+            "step_id": 1,
+            "runtime_id": 0
+          }
+        ]
+      }
+    ],
+    "color": "Green"
+  }
+]
diff --git a/tests/sources/trace_implication.elpi b/tests/sources/trace_implication.elpi
new file mode 100644
index 000000000..841726984
--- /dev/null
+++ b/tests/sources/trace_implication.elpi
@@ -0,0 +1,15 @@
+pred x0. pred z0.
+pred x1. pred y1. pred z1.
+pred x2. pred y2. pred z2.
+pred x3. pred y3. pred z3.
+pred x4. pred y4. pred z4.
+pred z5.
+
+main :-
+  (x0 => z0);
+  ((x1, y1) => z1);
+  ([x2, y2] ==> z2);
+  ([x3, y3] =!=> z3);
+  ((x4 :- y4) =!=> z4);
+  ([] => z5);
+  true.
diff --git a/tests/sources/trace_implication.json b/tests/sources/trace_implication.json
new file mode 100644
index 000000000..566ba3f7c
--- /dev/null
+++ b/tests/sources/trace_implication.json
@@ -0,0 +1,169 @@
+{"step" : 0,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["main"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["main","main"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"tests/sources/trace_implication.elpi\", line 8, column 0, characters 136-265:"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"tests/sources/trace_implication.elpi\", line 8, column 0, characters 136-265:","main :- (x0 => z0 ;\n          (x1 , y1) => z1 ;\n           [x2, y2] => z2 ;\n            [(x3 :- !), (y3 :- !)] => z3 ;\n             (x4 :- y4 , !) => z4 ; [] => z5 ; true)."]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 4,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["5"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["x0 => z0 ;\n (x1 , y1) => z1 ;\n  [x2, y2] => z2 ;\n   [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 1,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","x0 => z0 ;\n (x1 , y1) => z1 ;\n  [x2, y2] => z2 ;\n   [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := x0 => z0"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["6"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 6,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["x0 => z0"]}
+{"step" : 2,"kind" : ["Info"],"goal_id" : 6,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 6,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","x0 => z0"]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 6,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 6,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["7"]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z0"]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["x0 :- ."]}
+{"step" : 3,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 4,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z0","z0"]}
+{"step" : 4,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 4,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 4,"kind" : ["Info"],"goal_id" : 7,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","x0 => z0 ;\n (x1 , y1) => z1 ;\n  [x2, y2] => z2 ;\n   [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := (x1 , y1) => z1 ;\n       [x2, y2] => z2 ;\n        [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 5,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["8"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["(x1 , y1) => z1 ;\n [x2, y2] => z2 ;\n  [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 5,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","(x1 , y1) => z1 ;\n [x2, y2] => z2 ;\n  [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := (x1 , y1) => z1"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["9"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["(x1 , y1) => z1"]}
+{"step" : 6,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","(x1 , y1) => z1"]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 9,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["10"]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z1"]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["x1 :- .","y1 :- ."]}
+{"step" : 7,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 8,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z1","z1"]}
+{"step" : 8,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 8,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 8,"kind" : ["Info"],"goal_id" : 10,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","(x1 , y1) => z1 ;\n [x2, y2] => z2 ;\n  [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [x2, y2] => z2 ;\n       [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 8,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["11"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[x2, y2] => z2 ;\n [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 9,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[x2, y2] => z2 ;\n [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [x2, y2] => z2"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["12"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[x2, y2] => z2"]}
+{"step" : 10,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","[x2, y2] => z2"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 12,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["13"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z2"]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["x2 :- .","y2 :- ."]}
+{"step" : 11,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z2","z2"]}
+{"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 12,"kind" : ["Info"],"goal_id" : 13,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[x2, y2] => z2 ;\n [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 11,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["14"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 13,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [(x3 :- !), (y3 :- !)] => z3"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["15"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 15,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[(x3 :- !), (y3 :- !)] => z3"]}
+{"step" : 14,"kind" : ["Info"],"goal_id" : 15,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 15,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","[(x3 :- !), (y3 :- !)] => z3"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 15,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 15,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["16"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z3"]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["x3 :- !.","y3 :- !."]}
+{"step" : 15,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 16,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z3","z3"]}
+{"step" : 16,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 16,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 16,"kind" : ["Info"],"goal_id" : 16,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[(x3 :- !), (y3 :- !)] => z3 ; (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := (x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 14,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["17"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["(x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 17,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","(x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := (x4 :- y4 , !) => z4"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["18"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 18,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["(x4 :- y4 , !) => z4"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 18,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 18,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","(x4 :- y4 , !) => z4"]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 18,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 18,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["19"]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z4"]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["x4 :- y4, !."]}
+{"step" : 19,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 20,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z4","z4"]}
+{"step" : 20,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 20,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 20,"kind" : ["Info"],"goal_id" : 19,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","(x4 :- y4 , !) => z4 ; [] => z5 ; true"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [] => z5 ; true"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 17,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["20"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[] => z5 ; true"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[] => z5 ; true"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 41, column 0, characters 586-598:","(A0 ; _) :- A0."]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := [] => z5"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["21"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["[] => z5"]}
+{"step" : 22,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=>","[] => z5"]}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["22"]}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["z5"]}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:new-hyps","payload" : []}
+{"step" : 23,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
+{"step" : 24,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["z5","z5"]}
+{"step" : 24,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 24,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : []}
+{"step" : 24,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["fail"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:curgoal","payload" : [";","[] => z5 ; true"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 43, column 0, characters 601-613:","(_ ; A0) :- A0."]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 0,"runtime_id" : 0,"name" : "user:assign","payload" : ["A0 := true"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 20,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["23"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["true"]}
+{"step" : 25,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
+{"step" : 26,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["true","true"]}
+{"step" : 26,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
+{"step" : 26,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule:backchain:candidates","payload" : ["File \"builtin.elpi\", line 11, column 0, characters 147-151:"]}
+{"step" : 26,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule:backchain:try","payload" : ["File \"builtin.elpi\", line 11, column 0, characters 147-151:","true :- ."]}
+{"step" : 26,"kind" : ["Info"],"goal_id" : 23,"runtime_id" : 0,"name" : "user:rule:backchain","payload" : ["success"]}
diff --git a/tests/sources/trace_w.elab.json b/tests/sources/trace_w.elab.json
index e11c79e19..ead33f3d4 100644
--- a/tests/sources/trace_w.elab.json
+++ b/tests/sources/trace_w.elab.json
@@ -382,7 +382,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "print", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -392,7 +395,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "print", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 5,
             "runtime_id": 0
           },
@@ -731,7 +737,10 @@
         "suspend_sibling": { "goal_text": "theta []", "goal_id": 16 },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 8,
             "runtime_id": 0
           },
@@ -1121,7 +1130,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "pi", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -1136,7 +1148,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 11,
             "runtime_id": 0
           },
@@ -1253,7 +1267,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [ { "goal_text": "of c0 (mono X6)", "goal_id": 22 } ],
@@ -1263,12 +1280,21 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "(of c0 (mono X5)) :- ." ]
+              }
+            ],
             "step_id": 12,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 11,
             "runtime_id": 0
           },
@@ -1412,12 +1438,21 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [ "(of c0 (mono X5)) :- ." ]
+              }
+            ],
             "step_id": 12,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 11,
             "runtime_id": 0
           },
@@ -1841,7 +1876,10 @@
         },
         "suspend_stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "suspend" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "suspend", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 16,
             "runtime_id": 0
           },
@@ -3010,7 +3048,14 @@
                       "successful_attempts": [
                         {
                           "attempt": {
-                            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                            "rule": [
+                              "BuiltinRule",
+                              {
+                                "name": "eq",
+                                "kind": "Logic",
+                                "payload": []
+                              }
+                            ],
                             "events": [
                               [ "Assign", "X7 := [uvar frozen--452 []]" ]
                             ]
@@ -3022,7 +3067,10 @@
                       "more_successful_attempts": [],
                       "stack": [
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "eq", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 9,
                           "runtime_id": 1
                         },
@@ -3821,7 +3869,14 @@
                       "successful_attempts": [
                         {
                           "attempt": {
-                            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                            "rule": [
+                              "BuiltinRule",
+                              {
+                                "name": "eq",
+                                "kind": "Logic",
+                                "payload": []
+                              }
+                            ],
                             "events": [
                               [ "Assign", "X4 := [uvar frozen--452 []]" ]
                             ]
@@ -3833,7 +3888,10 @@
                       "more_successful_attempts": [],
                       "stack": [
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "eq", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 16,
                           "runtime_id": 1
                         },
@@ -5211,7 +5269,14 @@
                       "successful_attempts": [
                         {
                           "attempt": {
-                            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                            "rule": [
+                              "BuiltinRule",
+                              {
+                                "name": "eq",
+                                "kind": "Logic",
+                                "payload": []
+                              }
+                            ],
                             "events": [ [ "Assign", "X12 := any" ] ]
                           },
                           "siblings": [],
@@ -5221,7 +5286,10 @@
                       "more_successful_attempts": [],
                       "stack": [
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "eq", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 30,
                           "runtime_id": 1
                         },
@@ -5300,7 +5368,14 @@
                       "successful_attempts": [
                         {
                           "attempt": {
-                            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                            "rule": [
+                              "BuiltinRule",
+                              {
+                                "name": "pi",
+                                "kind": "Logic",
+                                "payload": []
+                              }
+                            ],
                             "events": []
                           },
                           "siblings": [
@@ -5315,7 +5390,10 @@
                       "more_successful_attempts": [],
                       "stack": [
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -5376,7 +5454,12 @@
                         {
                           "attempt": {
                             "rule": [
-                              "BuiltinRule", [ "Logic", "implication" ]
+                              "BuiltinRule",
+                              {
+                                "name": "implication",
+                                "kind": "Logic",
+                                "payload": []
+                              }
                             ],
                             "events": []
                           },
@@ -5393,13 +5476,23 @@
                       "stack": [
                         {
                           "rule": [
-                            "BuiltinRule", [ "Logic", "implication" ]
+                            "BuiltinRule",
+                            {
+                              "name": "implication",
+                              "kind": "Logic",
+                              "payload": [
+                                "(copy (uvar frozen--452 []) c0) :- ."
+                              ]
+                            }
                           ],
                           "step_id": 32,
                           "runtime_id": 1
                         },
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -5515,13 +5608,23 @@
                         },
                         {
                           "rule": [
-                            "BuiltinRule", [ "Logic", "implication" ]
+                            "BuiltinRule",
+                            {
+                              "name": "implication",
+                              "kind": "Logic",
+                              "payload": [
+                                "(copy (uvar frozen--452 []) c0) :- ."
+                              ]
+                            }
                           ],
                           "step_id": 32,
                           "runtime_id": 1
                         },
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -5657,13 +5760,23 @@
                         },
                         {
                           "rule": [
-                            "BuiltinRule", [ "Logic", "implication" ]
+                            "BuiltinRule",
+                            {
+                              "name": "implication",
+                              "kind": "Logic",
+                              "payload": [
+                                "(copy (uvar frozen--452 []) c0) :- ."
+                              ]
+                            }
                           ],
                           "step_id": 32,
                           "runtime_id": 1
                         },
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -5789,13 +5902,23 @@
                         },
                         {
                           "rule": [
-                            "BuiltinRule", [ "Logic", "implication" ]
+                            "BuiltinRule",
+                            {
+                              "name": "implication",
+                              "kind": "Logic",
+                              "payload": [
+                                "(copy (uvar frozen--452 []) c0) :- ."
+                              ]
+                            }
                           ],
                           "step_id": 32,
                           "runtime_id": 1
                         },
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -5921,13 +6044,23 @@
                         },
                         {
                           "rule": [
-                            "BuiltinRule", [ "Logic", "implication" ]
+                            "BuiltinRule",
+                            {
+                              "name": "implication",
+                              "kind": "Logic",
+                              "payload": [
+                                "(copy (uvar frozen--452 []) c0) :- ."
+                              ]
+                            }
                           ],
                           "step_id": 32,
                           "runtime_id": 1
                         },
                         {
-                          "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+                          "rule": [
+                            "BuiltinRule",
+                            { "name": "pi", "kind": "Logic", "payload": [] }
+                          ],
                           "step_id": 31,
                           "runtime_id": 1
                         },
@@ -6012,7 +6145,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -6027,7 +6163,18 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 18,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 18,
             "runtime_id": 0
           }
@@ -6049,7 +6196,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "eq", "kind": "Logic", "payload": [] }
+              ],
               "events": [
                 [ "Assign", "X1 := all any c0 \\ mono (c0 ===> c0)" ]
               ]
@@ -6061,12 +6211,25 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "eq" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "eq", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 19,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
+            "step_id": 18,
+            "runtime_id": 0
+          },
+          {
+            "rule": [
+              "BuiltinRule",
+              { "name": "implication", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 18,
             "runtime_id": 0
           }
@@ -6088,7 +6251,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "pi", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -6103,7 +6269,9 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -6201,7 +6369,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "implication", "kind": "Logic", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [
@@ -6216,12 +6387,23 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -6369,12 +6551,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -6550,12 +6743,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -6713,12 +6917,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -6897,12 +7112,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -7096,12 +7322,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -7437,12 +7674,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -7697,12 +7945,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -7889,12 +8148,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -8097,12 +8367,23 @@
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "implication" ] ],
+            "rule": [
+              "BuiltinRule",
+              {
+                "name": "implication",
+                "kind": "Logic",
+                "payload": [
+                  "(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."
+                ]
+              }
+            ],
             "step_id": 21,
             "runtime_id": 0
           },
           {
-            "rule": [ "BuiltinRule", [ "Logic", "pi" ] ],
+            "rule": [
+              "BuiltinRule", { "name": "pi", "kind": "Logic", "payload": [] }
+            ],
             "step_id": 20,
             "runtime_id": 0
           },
@@ -8717,7 +8998,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "print", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -8727,7 +9011,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "print", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 32,
             "runtime_id": 0
           },
@@ -8806,7 +9093,10 @@
         "successful_attempts": [
           {
             "attempt": {
-              "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+              "rule": [
+                "BuiltinRule",
+                { "name": "print", "kind": "FFI", "payload": [] }
+              ],
               "events": []
             },
             "siblings": [],
@@ -8816,7 +9106,10 @@
         "more_successful_attempts": [],
         "stack": [
           {
-            "rule": [ "BuiltinRule", [ "FFI", "print" ] ],
+            "rule": [
+              "BuiltinRule",
+              { "name": "print", "kind": "FFI", "payload": [] }
+            ],
             "step_id": 33,
             "runtime_id": 0
           },
diff --git a/tests/sources/trace_w.json b/tests/sources/trace_w.json
index 7121a0171..e225fa1d7 100644
--- a/tests/sources/trace_w.json
+++ b/tests/sources/trace_w.json
@@ -100,6 +100,7 @@
 {"step" : 12,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 12,"kind" : ["Info"],"goal_id" : 21,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["22"]}
 {"step" : 12,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["of c0 (mono X6)"]}
+{"step" : 12,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["(of c0 (mono X5)) :- ."]}
 {"step" : 12,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 13,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["of","of c0 (mono X6)"]}
 {"step" : 13,"kind" : ["Info"],"goal_id" : 22,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
@@ -404,6 +405,7 @@
 {"step" : 32,"kind" : ["Info"],"goal_id" : 60,"runtime_id" : 1,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 32,"kind" : ["Info"],"goal_id" : 60,"runtime_id" : 1,"name" : "user:subgoal","payload" : ["61"]}
 {"step" : 32,"kind" : ["Info"],"goal_id" : 61,"runtime_id" : 1,"name" : "user:newgoal","payload" : ["bind [] [] (uvar frozen--452 [] ===> uvar frozen--452 []) (X13 c0)"]}
+{"step" : 32,"kind" : ["Info"],"goal_id" : 61,"runtime_id" : 1,"name" : "user:new-hyps","payload" : ["(copy (uvar frozen--452 []) c0) :- ."]}
 {"step" : 32,"kind" : ["Info"],"goal_id" : 61,"runtime_id" : 1,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 33,"kind" : ["Info"],"goal_id" : 61,"runtime_id" : 1,"name" : "user:curgoal","payload" : ["bind","bind [] [] (uvar frozen--452 [] ===> uvar frozen--452 []) (X13 c0)"]}
 {"step" : 33,"kind" : ["Info"],"goal_id" : 61,"runtime_id" : 1,"name" : "user:rule","payload" : ["backchain"]}
@@ -451,6 +453,7 @@
 {"step" : 18,"kind" : ["Info"],"goal_id" : 65,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 18,"kind" : ["Info"],"goal_id" : 65,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["66"]}
 {"step" : 18,"kind" : ["Info"],"goal_id" : 66,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["X1 = all any c0 \\ mono (c0 ===> c0)"]}
+{"step" : 18,"kind" : ["Info"],"goal_id" : 66,"runtime_id" : 0,"name" : "user:new-hyps","payload" : []}
 {"step" : 18,"kind" : ["Info"],"goal_id" : 66,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 19,"kind" : ["Info"],"goal_id" : 66,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["=","X1 = all any c0 \\ mono (c0 ===> c0)"]}
 {"step" : 19,"kind" : ["Info"],"goal_id" : 66,"runtime_id" : 0,"name" : "user:rule","payload" : ["eq"]}
@@ -466,6 +469,7 @@
 {"step" : 21,"kind" : ["Info"],"goal_id" : 67,"runtime_id" : 0,"name" : "user:rule","payload" : ["implication"]}
 {"step" : 21,"kind" : ["Info"],"goal_id" : 67,"runtime_id" : 0,"name" : "user:subgoal","payload" : ["68"]}
 {"step" : 21,"kind" : ["Info"],"goal_id" : 68,"runtime_id" : 0,"name" : "user:newgoal","payload" : ["of (app c0 (global [])) (mono X3)"]}
+{"step" : 21,"kind" : ["Info"],"goal_id" : 68,"runtime_id" : 0,"name" : "user:new-hyps","payload" : ["(of c0 (all any (c1 \\ (mono (c1 ===> c1))))) :- ."]}
 {"step" : 21,"kind" : ["Info"],"goal_id" : 68,"runtime_id" : 0,"name" : "user:rule:implication","payload" : ["success"]}
 {"step" : 22,"kind" : ["Info"],"goal_id" : 68,"runtime_id" : 0,"name" : "user:curgoal","payload" : ["of","of (app c0 (global [])) (mono X3)"]}
 {"step" : 22,"kind" : ["Info"],"goal_id" : 68,"runtime_id" : 0,"name" : "user:rule","payload" : ["backchain"]}
diff --git a/tests/suite/elpi_specific.ml b/tests/suite/elpi_specific.ml
index 237398979..ae701527a 100644
--- a/tests/suite/elpi_specific.ml
+++ b/tests/suite/elpi_specific.ml
@@ -460,6 +460,21 @@ let () = declare "trace-browser-elab-cut"
   ~expectation:(SuccessOutputFile { sample; adjust = Util.strip_cwd; reference = "trace_cut.elab.json" })
   ()
 
+let sample = mk_tmp_file "trace_implication.json" ".new"
+let () = declare "trace-browser-implication"
+  ~source_elpi:"trace_implication.elpi"
+  ~description:"trace generation"
+    ~trace:(On["json";"file://"^sample;"-trace-at";"0";"99";"-trace-only";"user"])
+  ~expectation:(SuccessOutputFile { sample; adjust = Util.strip_cwd; reference = "trace_implication.json" })
+  ()
+
+let sample = mk_tmp_file "trace_implication.elab.json" ".new"
+let () = declare "trace-browser-elab-implication"
+  ~source_json:"trace_implication.json"
+  ~description:"trace elaboration"
+  ~expectation:(SuccessOutputFile { sample; adjust = Util.strip_cwd; reference = "trace_implication.elab.json" })
+  ()
+
 let sample = Filename.temp_file "broken_trace1.elab.json" ".new"
 let () = declare "trace-browser-elab-broken1"
   ~source_json:"broken_trace1.json"