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"div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_intro", "ged": 11.0, "ged_family": "ged_search_graph", "ged_search_graph": 11.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -14.0, "delta_max_depth": -7.0, "delta_backtracks": -7.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_intros", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_linarith", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_norm_num", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_omega", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_rfl", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_ring", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_rw", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_simp", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_simp_all", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "name": "block_trivial", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_assumption", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_constructor", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_contradiction", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -2.0, "delta_max_depth": 0.0, "delta_backtracks": -2.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_decide", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_exfalso", "ged": 8.0, "ged_family": "ged_search_graph", "ged_search_graph": 8.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 9.0, "delta_max_depth": 3.0, "delta_backtracks": 4.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_intro", "ged": 3.0, "ged_family": "ged_search_graph", "ged_search_graph": 3.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -1.0, "delta_max_depth": -2.0, "delta_backtracks": -1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_intros", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_linarith", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_norm_num", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_omega", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -2.0, "delta_max_depth": -3.0, "delta_backtracks": -2.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_rfl", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_rw", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 1.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_simp", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -1.0, "delta_max_depth": 0.0, "delta_backtracks": -1.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_simp_all", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -2.0, "delta_max_depth": -3.0, "delta_backtracks": -2.0, "recovery_iterations": null }, { "theorem": "AddSemigroup_x2eto_x5fisAssociative", "name": "block_trivial", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -1.0, "delta_max_depth": -2.0, "delta_backtracks": -1.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_assumption", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_constructor", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_contradiction", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_decide", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_exfalso", "ged": 4.0, "ged_family": "ged_search_graph", "ged_search_graph": 4.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 2.0, "delta_max_depth": 1.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_intro", "ged": 7.0, "ged_family": "ged_search_graph", "ged_search_graph": 7.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": -9.0, "delta_max_depth": -5.0, "delta_backtracks": -5.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_intros", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_linarith", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_norm_num", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_omega", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_rfl", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_ring", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_rw", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_simp", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_simp_all", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "add_x5feq_x5fzero_x5fiff_x5fneg_x5feq", "name": "block_trivial", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5fdiv_x5fdiv_x5fcancel_x5fright", "name": "block_intro", "ged": 9.0, "ged_family": "ged_search_graph", "ged_search_graph": 9.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": true, "delta_iterations": -3.0, "delta_max_depth": -5.0, "delta_backtracks": 0.0, "recovery_iterations": null }, { "theorem": "div_x5fdiv_x5fdiv_x5fcancel_x5fright", "name": "block_norm_num", "ged": 2.0, "ged_family": "ged_search_graph", "ged_search_graph": 2.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 9.0, "delta_max_depth": 1.0, "delta_backtracks": 6.0, "recovery_iterations": null }, { "theorem": "div_x5fdiv_x5fdiv_x5fcancel_x5fright", "name": "control_null", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": true, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 0.0, "recovery_iterations": 0 }, { "theorem": "div_x5feq_x5fiff_x5feq_x5fmul_x27", "name": "block_assumption", "ged": 0.0, "ged_family": "ged_search_graph", "ged_search_graph": 0.0, "ged_proof_graph": null, "ged_trace_graph": null, "solved": false, "delta_iterations": 0.0, "delta_max_depth": 0.0, "delta_backtracks": 1.0, "recovery_iterations": null }, { 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"expansion_order": 6, "children": {} } } } }, { "name": "SubtractionMonoid_x2etoSubNegZeroMonoid_x2eeq_x5f1", "status": "Solved", "iterations": 1, "mean_ged": 2.3333333333333335, "mean_ged_search_graph": 2.3333333333333335, "mean_ged_proof_graph": null, "mean_ged_trace_graph": null, "variants": [ "wild_type", "block_intro", "block_trivial", "control_null" ], "ged_matrix": [ [ 0.0, 0.42857142857142855, 0.5714285714285714, 0.0 ], [ 0.42857142857142855, 0.0, 1.0, 0.42857142857142855 ], [ 0.5714285714285714, 1.0, 0.0, 0.5714285714285714 ], [ 0.0, 0.42857142857142855, 0.5714285714285714, 0.0 ] ], "history": [ { "tactic": "rfl", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "decide", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "simp", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "simp only []", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "simp_all", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "omega", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "blocked" }, { "tactic": "trivial", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "failure" }, { "tactic": "assumption", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "failure" }, { "tactic": "intro", "goal": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "outcome": "success" } ], "proof_term_stats": { "node_count": 17, "max_depth": 6, "kind_counts": [ { "label": "app", "count": 6 }, { "label": "lam", "count": 2 }, { "label": "forall", "count": 0 }, { "label": "unique_consts", "count": 4 } ] }, "mcts_tree": { "root_mvar_id": "cp1:_uniq.37026", "expansion_count": 3, "nodes": { "cp1:_uniq.37026": { "mvar_id": "cp1:_uniq.37026", "goal_type": "\u2200 {\u03b1 : Type u_1} [inst : SubtractionMonoid \u03b1],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "goal_sig": "2754a5d665cf", "goal_sig_strict": "2754a5d665cf", "visit_count": 3, "success_count": 3, "is_terminal": false, "is_dead": false, "depth": 0, "expansion_order": 0, "children": { "intro": [ "cp2:_uniq.37041.2" ] } }, "cp2:_uniq.37041.2": { "mvar_id": "cp2:_uniq.37041.2", "goal_type": "\u2200 [inst : SubtractionMonoid \u03b1\u271d],\n SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "goal_sig": "41b89678652b", "goal_sig_strict": "5064e0cc2149", "visit_count": 2, "success_count": 2, "is_terminal": false, "is_dead": false, "depth": 1, "expansion_order": 1, "children": { "intro": [ "cp3:_uniq.37041.5" ] } }, "cp3:_uniq.37041.5": { "mvar_id": "cp3:_uniq.37041.5", "goal_type": "SubtractionMonoid.toSubNegZeroMonoid =\n let __SubNegMonoid := inst\u271d.toSubNegMonoid;\n { toSubNegMonoid := __SubNegMonoid, neg_zero := \u22ef }", "goal_sig": "0f54c9c8d604", "goal_sig_strict": "592b08cafde0", "visit_count": 1, "success_count": 1, "is_terminal": true, "is_dead": false, "depth": 2, "expansion_order": 2, "children": { "trivial": [] } } } } }, { "name": "div_x5feq_x5fdiv_x5fiff_x5fdiv_x5feq_x5fdiv", "status": "Failed", "iterations": 15, "mean_ged": 0.9375, "mean_ged_search_graph": 0.9375, "mean_ged_proof_graph": null, "mean_ged_trace_graph": null, "variants": [ "wild_type", "block_assumption", "block_constructor", "block_contradiction", "block_decide", "block_exfalso", "block_intro", "block_intros", "block_linarith", "block_norm_num", "block_omega", "block_rfl", "block_ring", "block_rw", "block_simp", "block_simp_all", "block_trivial" ], "ged_matrix": [ [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.0, 1.0, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666, 0.26666666666666666 ], [ 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 1.0, 0.0, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333, 0.7333333333333333 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.26666666666666666, 0.7333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ], "history": [ { "tactic": "rfl", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "decide", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "simp", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "simp only []", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "simp_all", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "omega", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "blocked" }, { "tactic": "trivial", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "failure" }, { "tactic": "assumption", "goal": "\u2200 {G : Type u_3} [inst : CommGroup G] {a b c d : G}, a / b = c / d \u2194 a / c = b / d", "outcome": "failure" }, { "tactic": "intro", "goal": "\u2200 {G : 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