TSTP Solution File: COL002-10 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:26:41 EDT 2023
% Result : Unsatisfiable 63.65s 8.50s
% Output : CNFRefutation 63.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named ifeq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
ifeq(X,X,Y,Z) = Y,
inference(cnf_transformation,[],[ifeq_axiom]) ).
cnf('2',plain,
apply(i,X) = X,
inference(cnf_transformation,[],[i_definition]) ).
cnf('3',plain,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
inference(cnf_transformation,[],[s_definition]) ).
cnf('4',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('5',plain,
apply(apply(apply(s,apply(b,X)),Y),Z) = apply(X,apply(Z,apply(Y,Z))),
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
apply(apply(apply(s,apply(b,X)),i),Y) = apply(X,apply(Y,Y)),
inference(paramodulation,[],['2','5']) ).
cnf('7',plain,
ifeq(X,apply(fixed_pt,X),fixed_point(X),true) = true,
inference(cnf_transformation,[],[weak_fixed_point]) ).
cnf('8',plain,
ifeq(apply(X,X),apply(apply(apply(s,apply(b,fixed_pt)),i),X),fixed_point(apply(X,X)),true) = true,
inference(paramodulation,[],['6','7']) ).
cnf('9',plain,
fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))) != true,
inference(cnf_transformation,[],[prove_weak_fixed_point]) ).
cnf('10',plain,
$false,
inference(paramodulation,[then_simplify],['1','8','9']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 04:19:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 input clause set summed statistics:
% 0.19/0.39 ----------------------------------
% 0.19/0.39 in_clause_count: 7
% 0.19/0.39 in_rule_clause_count: 7
% 0.19/0.39 in_fact_clause_count: 0
% 0.19/0.39 in_answer_clause_count: 0
% 0.19/0.39 in_ground_clause_count: 0
% 0.19/0.39 in_unit_clause_count: 7
% 0.19/0.39 in_horn_clause_count: 7
% 0.19/0.39 in_pos_clause_count: 6
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 6
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 6
% 0.19/0.39 in_chain_clause_count: 0
% 0.19/0.39 in_min_length: 1
% 0.19/0.39 in_max_length: 1
% 0.19/0.39 in_min_depth: 2
% 0.19/0.39 in_max_depth: 6
% 0.19/0.39 in_min_size: 5
% 0.19/0.39 in_max_size: 18
% 0.19/0.39 in_min_vars: 1
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 0
% 0.19/0.39 in_axiom_count: 6
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 1
% 0.19/0.39 in_neg_goal_count: 1
% 0.19/0.39 in_pos_goal_count: 0
% 0.19/0.39 in_posunit_goal_count: 0
% 0.19/0.39
% 0.19/0.39 auto guide:
% 0.19/0.39 -----------
% 0.19/0.39 {
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% 26.04/3.66
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% 26.04/3.66 fork 7: search terminated without proof.
% 26.04/3.67
% 26.04/3.67
% 26.04/3.67 fork 1: search terminated without proof.
% 26.04/3.69
% 26.04/3.69 **** run 88 fork 7 starts with strategy
% 26.04/3.69 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 26.04/3.69
% 26.04/3.69
% 26.04/3.69 fork 4: search terminated without proof.
% 26.04/3.71
% 26.04/3.71 **** run 90 fork 1 starts with strategy
% 26.04/3.71 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 26.64/3.73
% 26.64/3.73 **** run 85 fork 4 starts with strategy
% 26.64/3.73 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 26.94/3.77
% 26.94/3.77
% 26.94/3.77 fork 0: search terminated without proof.
% 26.94/3.80
% 26.94/3.80 **** run 89 fork 0 starts with strategy
% 26.94/3.80 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 33.52/4.62
% 33.52/4.62
% 33.52/4.62 fork 6: search terminated without proof.
% 33.52/4.64
% 33.52/4.64
% 33.52/4.64 fork 5: search terminated without proof.
% 33.52/4.65
% 33.52/4.65
% 33.52/4.65 fork 3: search terminated without proof.
% 33.52/4.65
% 33.52/4.65 **** run 95 fork 6 starts with strategy
% 33.52/4.65 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 33.92/4.67
% 33.92/4.67
% 33.92/4.67 fork 2: search terminated without proof.
% 33.92/4.67
% 33.92/4.67 **** run 94 fork 5 starts with strategy
% 33.92/4.67 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 33.92/4.68
% 33.92/4.68 **** run 92 fork 3 starts with strategy
% 33.92/4.68 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 33.92/4.70
% 33.92/4.70 **** run 91 fork 2 starts with strategy
% 33.92/4.70 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 33.92/4.72
% 33.92/4.72
% 33.92/4.72 fork 7: search terminated without proof.
% 33.92/4.74
% 33.92/4.74
% 33.92/4.74 fork 1: search terminated without proof.
% 34.57/4.76
% 34.57/4.76 **** run 96 fork 7 starts with strategy
% 34.57/4.76 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 34.57/4.77
% 34.57/4.77
% 34.57/4.77 fork 4: search terminated without proof.
% 34.87/4.79
% 34.87/4.79 **** run 98 fork 1 starts with strategy
% 34.87/4.79 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 34.87/4.81
% 34.87/4.81 **** run 93 fork 4 starts with strategy
% 34.87/4.81 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 35.41/4.87
% 35.41/4.87
% 35.41/4.87 fork 0: search terminated without proof.
% 35.41/4.90
% 35.41/4.90 **** run 97 fork 0 starts with strategy
% 35.41/4.90 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 41.95/5.69
% 41.95/5.69
% 41.95/5.69 fork 5: search terminated without proof.
% 41.95/5.70
% 41.95/5.70
% 41.95/5.70 fork 3: search terminated without proof.
% 41.95/5.70
% 41.95/5.70
% 41.95/5.70 fork 6: search terminated without proof.
% 42.29/5.73
% 42.29/5.73
% 42.29/5.73 fork 2: search terminated without proof.
% 42.29/5.74
% 42.29/5.74 **** run 102 fork 5 starts with strategy
% 42.29/5.74 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 42.50/5.74
% 42.50/5.74 **** run 103 fork 6 starts with strategy
% 42.50/5.74 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 42.50/5.74
% 42.50/5.74 **** run 100 fork 3 starts with strategy
% 42.50/5.74 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 42.50/5.78
% 42.50/5.78 **** run 99 fork 2 starts with strategy
% 42.50/5.78 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 42.50/5.78
% 42.50/5.78
% 42.50/5.78 fork 7: search terminated without proof.
% 42.50/5.81
% 42.50/5.81
% 42.50/5.81 fork 1: search terminated without proof.
% 42.50/5.81
% 42.50/5.81 **** run 104 fork 7 starts with strategy
% 42.50/5.81 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 43.17/5.83
% 43.17/5.83 **** run 106 fork 1 starts with strategy
% 43.17/5.83 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 43.17/5.84
% 43.17/5.84
% 43.17/5.84 fork 4: search terminated without proof.
% 43.17/5.87
% 43.17/5.87 **** run 101 fork 4 starts with strategy
% 43.17/5.87 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 43.61/5.92
% 43.61/5.92
% 43.61/5.92 fork 0: search terminated without proof.
% 43.61/5.95
% 43.61/5.95 **** run 105 fork 0 starts with strategy
% 43.61/5.95 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 50.41/6.76
% 50.41/6.76
% 50.41/6.76 fork 5: search terminated without proof.
% 50.41/6.77
% 50.41/6.77
% 50.41/6.77 fork 3: search terminated without proof.
% 50.70/6.78
% 50.70/6.78
% 50.70/6.78 fork 6: search terminated without proof.
% 50.70/6.78
% 50.70/6.78 **** run 110 fork 5 starts with strategy
% 50.70/6.78 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 50.70/6.80
% 50.70/6.80
% 50.70/6.80 fork 2: search terminated without proof.
% 50.70/6.80
% 50.70/6.80 **** run 108 fork 3 starts with strategy
% 50.70/6.80 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":0}
% 50.70/6.81
% 50.70/6.81 **** run 111 fork 6 starts with strategy
% 50.70/6.81 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 51.22/6.84
% 51.22/6.84 **** run 107 fork 2 starts with strategy
% 51.22/6.84 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 51.22/6.84
% 51.22/6.84
% 51.22/6.84 fork 7: search terminated without proof.
% 51.22/6.85
% 51.22/6.85
% 51.22/6.85 fork 1: search terminated without proof.
% 51.22/6.86
% 51.22/6.86 **** run 112 fork 7 starts with strategy
% 51.22/6.86 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 51.42/6.88
% 51.42/6.88 fork 7: search finished without proof.
% 51.42/6.89
% 51.42/6.89 **** run 114 fork 1 starts with strategy
% 51.42/6.89 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 51.42/6.90
% 51.42/6.90 **** run 120 fork 7 starts with strategy
% 51.42/6.90 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 51.42/6.91
% 51.42/6.91
% 51.42/6.91 fork 4: search terminated without proof.
% 51.91/6.94
% 51.91/6.94 **** run 109 fork 4 starts with strategy
% 51.91/6.94 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 52.20/6.97
% 52.20/6.97
% 52.20/6.97 fork 0: search terminated without proof.
% 52.20/7.01
% 52.20/7.01 **** run 113 fork 0 starts with strategy
% 52.20/7.01 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 52.77/7.03
% 52.77/7.03 fork 0: search finished without proof.
% 52.77/7.05
% 52.77/7.05 **** run 121 fork 0 starts with strategy
% 52.77/7.05 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":30}
% 58.75/7.81
% 58.75/7.81
% 58.75/7.81 fork 5: search terminated without proof.
% 58.75/7.82
% 58.75/7.82
% 58.75/7.82 fork 3: search terminated without proof.
% 58.75/7.83
% 58.75/7.83 **** run 118 fork 5 starts with strategy
% 58.75/7.83 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":15}
% 59.19/7.84
% 59.19/7.84
% 59.19/7.84 fork 6: search terminated without proof.
% 59.29/7.86
% 59.29/7.86 **** run 116 fork 3 starts with strategy
% 59.29/7.86 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":10}
% 59.29/7.86
% 59.29/7.86 fork 5: search finished without proof.
% 59.29/7.88
% 59.29/7.88
% 59.29/7.88 fork 2: search terminated without proof.
% 59.29/7.88
% 59.29/7.88 **** run 119 fork 6 starts with strategy
% 59.29/7.88 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20}
% 59.29/7.88
% 59.29/7.88 **** run 126 fork 5 starts with strategy
% 59.29/7.88 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 59.76/7.91
% 59.76/7.91
% 59.76/7.91 fork 1: search terminated without proof.
% 59.76/7.92
% 59.76/7.92 **** run 115 fork 2 starts with strategy
% 59.76/7.92 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":8}
% 59.76/7.93
% 59.76/7.93
% 59.76/7.93 fork 7: search terminated without proof.
% 59.76/7.93
% 59.76/7.93 **** run 122 fork 1 starts with strategy
% 59.76/7.93 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":40}
% 59.76/7.95
% 59.76/7.95 **** run 128 fork 7 starts with strategy
% 59.76/7.95 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
% 60.11/7.96
% 60.11/7.96
% 60.11/7.96 fork 4: search terminated without proof.
% 60.11/8.01
% 60.11/8.01 **** run 117 fork 4 starts with strategy
% 60.11/8.01 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":10}
% 60.11/8.03
% 60.11/8.03 fork 4: search finished without proof.
% 60.85/8.05
% 60.85/8.05 **** run 125 fork 4 starts with strategy
% 60.85/8.05 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50}
% 60.85/8.07
% 60.85/8.07
% 60.85/8.07 fork 0: search terminated without proof.
% 61.18/8.09
% 61.18/8.09 **** run 129 fork 0 starts with strategy
% 61.18/8.09 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 63.65/8.50
% 63.65/8.50
% 63.65/8.50 result: proof found
% 63.65/8.50 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.65/8.50 by run 119 fork 6 strategy {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20}
% 63.65/8.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.65/8.50
% 63.65/8.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 63.65/8.50
% 63.65/8.50 run 119 fork 6 statistics:
% 63.65/8.50 ----------------------------------
% 63.65/8.50 this run seconds: 0.190706
% 63.65/8.50 total seconds: 7.621466
% 63.65/8.50 stat_given_used: 147
% 63.65/8.50 stat_given_used_at_endgame: 0
% 63.65/8.50 stat_given_candidates: 1403
% 63.65/8.50 stat_given_candidates_at_endgame: 0
% 63.65/8.50 stat_given_candidates_h: 0
% 63.65/8.50 stat_binres_derived_cl: 0
% 63.65/8.50 stat_binres_derived_cl_h: 0
% 63.65/8.50 stat_factor_derived_cl: 0
% 63.65/8.50 stat_para_derived_cl: 40607
% 63.65/8.50 stat_tautologies_discarded: 0
% 63.65/8.50 stat_forward_subsumed: 1978
% 63.65/8.50 stat_derived_cut: 1
% 63.65/8.50 stat_derived_rewritten: 82
% 63.65/8.50 stat_weight_discarded_building: 0
% 63.65/8.50 stat_weight_discarded_cl: 36249
% 63.65/8.50 stat_internlimit_discarded_cl: 0
% 63.65/8.50 stat_simplified: 82 simplified 0 derived 0 given
% 63.65/8.50 stat_kept_cl: 1834
% 63.65/8.50 stat_built_cl: 38459
% 63.65/8.50 stat_hyperres_partial_cl: 0
% 63.65/8.50 stat_made_rewriters: 96
% 63.65/8.50 stat_backward_subsumed: 0
% 63.65/8.50 stat_propagated_subsumed: 0
% 63.65/8.50 stat_clsubs_attempted: 4485
% 63.65/8.50 stat_clsubs_fact_groundunit_found: 0
% 63.65/8.50 stat_clsubs_rule_groundunit_found: 0
% 63.65/8.50 stat_clsubs_top_meta_attempted: 10236
% 63.65/8.50 stat_clsubs_top_meta_failed: 5751
% 63.65/8.50 stat_clsubs_top_meta_nonpref_attempted: 10236
% 63.65/8.50 stat_clsubs_top_meta_nonpref_succeeded: 5416
% 63.65/8.50 stat_clsubs_top_meta_pref_attempted: 5416
% 63.65/8.50 stat_clsubs_top_meta_pref1_succeeded: 5416
% 63.65/8.50 stat_clsubs_top_meta_pref2_succeeded: 4775
% 63.65/8.50 stat_clsubs_top_meta_pref3_succeeded: 4485
% 63.65/8.50 stat_clsubs_top_meta_pref_succeeded: 4485
% 63.65/8.50 stat_clsubs_meta_attempted: 4485
% 63.65/8.50 stat_clsubs_meta_failed: 57
% 63.65/8.50 stat_clsubs_predsymbs_attempted: 0
% 63.65/8.50 stat_clsubs_unit_attempted: 4485
% 63.65/8.50 stat_clsubs_full_attempted: 0
% 63.65/8.50 stat_forwardsubs_attempted: 40062
% 63.65/8.50 stat_lit_hash_added: 1868
% 63.65/8.50 stat_lit_hash_computed: 42241
% 63.65/8.50 stat_lit_hash_match_found: 2019
% 63.65/8.50 stat_lit_hash_match_miss: 76520
% 63.65/8.50 stat_lit_hash_cut_ok: 0
% 63.65/8.50 stat_lit_strong_cut_ok: 1
% 63.65/8.50 stat_lit_hash_subsume_ok: 1978
% 63.65/8.50 clqueue els 10000000 used 1
% 63.65/8.50 clactive els 10000000 used 148
% 63.65/8.50 clactivesubsume els 10000000 used 721
% 63.65/8.50 queue_termbuf els 200000000 used 149888
% 63.65/8.50 hyper_termbuf els 100000000 used 1
% 63.65/8.50 active_termbuf els 100000000 used 9076
% 63.65/8.50 varstack els 5000 last used 1
% 63.65/8.50 given_termbuf els 10000000 last used 1
% 63.65/8.50 simplified_termbuf els 10000000 last used 1
% 63.65/8.50 derived_termbuf els 10000000 last used 78
% 63.65/8.50 wr_mallocs: 9828
% 63.65/8.50 wr_callocs: 21
% 63.65/8.50 wr_reallocs: 188
% 63.65/8.50 wr_frees: 2
% 63.65/8.50 wr_malloc_bytes: 4162922068
% 63.65/8.50 wr_calloc_bytes: 112065536
% 63.65/8.50 wr_realloc_bytes: 40960
% 63.65/8.50 wr_realloc_freebytes: 0
% 63.65/8.50 ----------------------------------
%------------------------------------------------------------------------------