TSTP Solution File: GRP698-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n007.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 : Thu Aug 31 00:55:54 EDT 2023
% Result : Unsatisfiable 54.23s 7.27s
% Output : CNFRefutation 54.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c03)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
mult(rd(X,Y),Y) = X,
inference(cnf_transformation,[],[c03]) ).
cnf('2',plain,
mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
inference(cnf_transformation,[],[c07]) ).
cnf('3',plain,
mult(mult(mult(X,rd(Y,X)),X),mult(X,Z)) = mult(X,mult(mult(Y,X),Z)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
mult(mult(mult(X3,rd(rd(Y3,X3),X3)),X3),mult(X3,Z3)) = mult(X3,mult(Y3,Z3)),
inference(paramodulation,[],['1','3']) ).
cnf('5',plain,
mult(X,unit) = X,
inference(cnf_transformation,[],[c05]) ).
cnf('6',plain,
mult(mult(mult(X3,Y3),X3),X3) = mult(X3,mult(mult(mult(Y3,X3),X3),unit)),
inference(paramodulation,[],['5','2']) ).
cnf('7',plain,
mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
inference(simplify,[],['6','5']) ).
cnf('8',plain,
rd(mult(X,Y),Y) = X,
inference(cnf_transformation,[],[c04]) ).
cnf('9',plain,
rd(mult(X,mult(mult(Y,X),X)),X) = mult(mult(X,Y),X),
inference(paramodulation,[],['7','8']) ).
cnf('10',plain,
rd(mult(X,mult(Y,X)),X) = mult(mult(X,rd(Y,X)),X),
inference(paramodulation,[],['1','9']) ).
cnf('11',plain,
mult(rd(mult(X,Y),X),mult(X,Z)) = mult(X,mult(Y,Z)),
inference(simplify,[then_simplify],['4','10','1']) ).
cnf('12',plain,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
inference(cnf_transformation,[],[goals]) ).
cnf('13',plain,
$false,
inference(paramodulation,[],['11','12']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : gkc %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 01:32:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.38
% 0.13/0.38 input clause set summed statistics:
% 0.13/0.38 ----------------------------------
% 0.13/0.38 in_clause_count: 9
% 0.13/0.38 in_rule_clause_count: 9
% 0.13/0.38 in_fact_clause_count: 0
% 0.13/0.38 in_answer_clause_count: 0
% 0.13/0.38 in_ground_clause_count: 1
% 0.13/0.38 in_unit_clause_count: 9
% 0.13/0.38 in_horn_clause_count: 9
% 0.13/0.38 in_pos_clause_count: 8
% 0.13/0.38 in_neg_clause_count: 1
% 0.13/0.38 in_poseq_clause_count: 8
% 0.13/0.38 in_negeq_clause_count: 1
% 0.13/0.38 in_unitposeq_clause_count: 8
% 0.13/0.38 in_chain_clause_count: 0
% 0.13/0.38 in_min_length: 1
% 0.13/0.38 in_max_length: 1
% 0.13/0.38 in_min_depth: 2
% 0.13/0.38 in_max_depth: 5
% 0.13/0.38 in_min_size: 5
% 0.13/0.38 in_max_size: 19
% 0.13/0.38 in_min_vars: 0
% 0.13/0.38 in_max_vars: 3
% 0.13/0.38 in_extaxiom_count: 0
% 0.13/0.38 in_axiom_count: 8
% 0.13/0.38 in_assumption_count: 0
% 0.13/0.38 in_goal_count: 1
% 0.13/0.38 in_neg_goal_count: 1
% 0.13/0.38 in_pos_goal_count: 0
% 0.13/0.38 in_posunit_goal_count: 0
% 0.13/0.38
% 0.13/0.38 auto guide:
% 0.13/0.38 -----------
% 0.13/0.38 {
% 0.13/0.38 "print":1,
% 0.13/0.38 "print_level": 15,
% 0.13/0.38 "max_size": 0,
% 0.13/0.38 "max_depth": 0,
% 0.13/0.38 "max_length": 0,
% 0.13/0.38 "max_dseconds": 0,
% 0.13/0.38 "runs":[
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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
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% 24.89/3.57
% 24.89/3.57
% 24.89/3.57 fork 6: search terminated without proof.
% 24.89/3.58
% 24.89/3.58
% 24.89/3.58 fork 4: search terminated without proof.
% 25.89/3.62
% 25.89/3.62 **** run 87 fork 6 starts with strategy
% 25.89/3.62 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 25.89/3.62
% 25.89/3.62 **** run 85 fork 4 starts with strategy
% 25.89/3.62 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 25.89/3.64
% 25.89/3.64
% 25.89/3.64 fork 7: search terminated without proof.
% 25.89/3.68
% 25.89/3.68 **** run 88 fork 7 starts with strategy
% 25.89/3.68 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 25.89/3.71
% 25.89/3.71
% 25.89/3.71 fork 1: search terminated without proof.
% 26.70/3.75
% 26.70/3.75 **** run 90 fork 1 starts with strategy
% 26.70/3.75 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 26.70/3.79
% 26.70/3.79
% 26.70/3.79 fork 0: search terminated without proof.
% 27.34/3.83
% 27.34/3.83 **** run 89 fork 0 starts with strategy
% 27.34/3.83 {"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}
% 32.35/4.46
% 32.35/4.46
% 32.35/4.46 fork 2: search terminated without proof.
% 32.35/4.50
% 32.35/4.50 **** run 91 fork 2 starts with strategy
% 32.35/4.50 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 33.07/4.53
% 33.07/4.53
% 33.07/4.53 fork 3: search terminated without proof.
% 33.07/4.57
% 33.07/4.57 **** run 92 fork 3 starts with strategy
% 33.07/4.57 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 33.07/4.58
% 33.07/4.58
% 33.07/4.58 fork 5: search terminated without proof.
% 33.63/4.61
% 33.63/4.61 **** run 94 fork 5 starts with strategy
% 33.63/4.61 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 33.63/4.64
% 33.63/4.64
% 33.63/4.64 fork 4: search terminated without proof.
% 33.63/4.64
% 33.63/4.64
% 33.63/4.64 fork 6: search terminated without proof.
% 34.37/4.68
% 34.37/4.68 **** run 93 fork 4 starts with strategy
% 34.37/4.68 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 34.37/4.69
% 34.37/4.69 **** run 95 fork 6 starts with strategy
% 34.37/4.69 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 34.37/4.70
% 34.37/4.70
% 34.37/4.70 fork 7: search terminated without proof.
% 34.73/4.74
% 34.73/4.74 **** run 96 fork 7 starts with strategy
% 34.73/4.74 {"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}
% 34.73/4.78
% 34.73/4.78
% 34.73/4.78 fork 1: search terminated without proof.
% 35.44/4.82
% 35.44/4.82 **** run 98 fork 1 starts with strategy
% 35.44/4.82 {"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}
% 35.44/4.85
% 35.44/4.85
% 35.44/4.85 fork 0: search terminated without proof.
% 35.44/4.88
% 35.44/4.88 **** run 97 fork 0 starts with strategy
% 35.44/4.88 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 40.66/5.53
% 40.66/5.53
% 40.66/5.53 fork 2: search terminated without proof.
% 40.66/5.56
% 40.66/5.56 **** run 99 fork 2 starts with strategy
% 40.66/5.56 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 41.43/5.59
% 41.43/5.59
% 41.43/5.59 fork 3: search terminated without proof.
% 41.71/5.63
% 41.71/5.63 **** run 100 fork 3 starts with strategy
% 41.71/5.63 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 41.71/5.63
% 41.71/5.63
% 41.71/5.63 fork 5: search terminated without proof.
% 41.71/5.66
% 41.71/5.66 **** run 102 fork 5 starts with strategy
% 41.71/5.66 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 41.71/5.70
% 41.71/5.70
% 41.71/5.70 fork 4: search terminated without proof.
% 42.51/5.74
% 42.51/5.74 **** run 101 fork 4 starts with strategy
% 42.51/5.74 {"max_dseconds":10,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 42.51/5.78
% 42.51/5.78
% 42.51/5.78 fork 7: search terminated without proof.
% 42.51/5.78
% 42.51/5.78
% 42.51/5.78 fork 6: search terminated without proof.
% 43.09/5.81
% 43.09/5.81 **** run 104 fork 7 starts with strategy
% 43.09/5.81 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 43.09/5.83
% 43.09/5.83 **** run 103 fork 6 starts with strategy
% 43.09/5.83 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 43.09/5.85
% 43.09/5.85
% 43.09/5.85 fork 1: search terminated without proof.
% 43.09/5.87
% 43.09/5.87 **** run 106 fork 1 starts with strategy
% 43.09/5.87 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 44.09/5.95
% 44.09/5.95
% 44.09/5.95 fork 0: search terminated without proof.
% 44.09/5.98
% 44.09/5.98 **** run 105 fork 0 starts with strategy
% 44.09/5.98 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 49.52/6.62
% 49.52/6.62
% 49.52/6.62 fork 2: search terminated without proof.
% 49.52/6.64
% 49.52/6.64 **** run 107 fork 2 starts with strategy
% 49.52/6.64 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 49.52/6.65
% 49.52/6.65
% 49.52/6.65 fork 3: search terminated without proof.
% 49.52/6.68
% 49.52/6.68 **** run 108 fork 3 starts with strategy
% 49.52/6.68 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":0}
% 49.52/6.68
% 49.52/6.68
% 49.52/6.68 fork 5: search terminated without proof.
% 50.30/6.71
% 50.30/6.71 **** run 110 fork 5 starts with strategy
% 50.30/6.71 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 50.30/6.76
% 50.30/6.76
% 50.30/6.76 fork 4: search terminated without proof.
% 50.30/6.78
% 50.30/6.78 **** run 109 fork 4 starts with strategy
% 50.30/6.78 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 50.30/6.80
% 50.30/6.80 fork 4: search finished without proof.
% 50.30/6.81
% 50.30/6.81 **** run 117 fork 4 starts with strategy
% 50.30/6.81 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":10}
% 51.32/6.83
% 51.32/6.83
% 51.32/6.83 fork 7: search terminated without proof.
% 51.32/6.84
% 51.32/6.84 fork 4: search finished without proof.
% 51.32/6.85
% 51.32/6.85 **** run 125 fork 4 starts with strategy
% 51.32/6.85 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50}
% 51.32/6.87
% 51.32/6.87 **** run 112 fork 7 starts with strategy
% 51.32/6.87 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 51.32/6.89
% 51.32/6.89
% 51.32/6.89 fork 6: search terminated without proof.
% 51.32/6.89
% 51.32/6.89
% 51.32/6.89 fork 1: search terminated without proof.
% 51.32/6.89
% 51.32/6.89 fork 7: search finished without proof.
% 51.93/6.91
% 51.93/6.91 **** run 120 fork 7 starts with strategy
% 51.93/6.91 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 51.93/6.92
% 51.93/6.92 **** run 111 fork 6 starts with strategy
% 51.93/6.92 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 51.93/6.94
% 51.93/6.94 **** run 114 fork 1 starts with strategy
% 51.93/6.94 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 52.49/7.00
% 52.49/7.00
% 52.49/7.00 fork 0: search terminated without proof.
% 52.49/7.02
% 52.49/7.02 **** run 113 fork 0 starts with strategy
% 52.49/7.02 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 53.24/7.09
% 53.24/7.09 fork 0: search finished without proof.
% 53.44/7.11
% 53.44/7.11 **** run 121 fork 0 starts with strategy
% 53.44/7.11 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":30}
% 54.23/7.27
% 54.23/7.27
% 54.23/7.27 result: proof found
% 54.23/7.27 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.23/7.27 by run 120 fork 7 strategy {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 54.23/7.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.23/7.27
% 54.23/7.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 54.23/7.27
% 54.23/7.27 run 120 fork 7 statistics:
% 54.23/7.27 ----------------------------------
% 54.23/7.27 this run seconds: 0.184952
% 54.23/7.27 total seconds: 6.718544
% 54.23/7.27 stat_given_used: 182
% 54.23/7.27 stat_given_used_at_endgame: 0
% 54.23/7.27 stat_given_candidates: 909
% 54.23/7.27 stat_given_candidates_at_endgame: 0
% 54.23/7.27 stat_given_candidates_h: 0
% 54.23/7.27 stat_binres_derived_cl: 0
% 54.23/7.27 stat_binres_derived_cl_h: 0
% 54.23/7.27 stat_factor_derived_cl: 0
% 54.23/7.27 stat_para_derived_cl: 34260
% 54.23/7.27 stat_tautologies_discarded: 0
% 54.23/7.27 stat_forward_subsumed: 2114
% 54.23/7.27 stat_derived_cut: 0
% 54.23/7.27 stat_derived_rewritten: 26
% 54.23/7.27 stat_weight_discarded_building: 0
% 54.23/7.27 stat_weight_discarded_cl: 28615
% 54.23/7.27 stat_internlimit_discarded_cl: 0
% 54.23/7.27 stat_simplified: 26 simplified 0 derived 0 given
% 54.23/7.27 stat_kept_cl: 3035
% 54.23/7.27 stat_built_cl: 32040
% 54.23/7.27 stat_hyperres_partial_cl: 0
% 54.23/7.27 stat_made_rewriters: 148
% 54.23/7.27 stat_backward_subsumed: 0
% 54.23/7.27 stat_propagated_subsumed: 0
% 54.23/7.27 stat_clsubs_attempted: 2424
% 54.23/7.27 stat_clsubs_fact_groundunit_found: 0
% 54.23/7.27 stat_clsubs_rule_groundunit_found: 1
% 54.23/7.27 stat_clsubs_top_meta_attempted: 16492
% 54.23/7.27 stat_clsubs_top_meta_failed: 14068
% 54.23/7.27 stat_clsubs_top_meta_nonpref_attempted: 16492
% 54.23/7.27 stat_clsubs_top_meta_nonpref_succeeded: 7860
% 54.23/7.27 stat_clsubs_top_meta_pref_attempted: 7860
% 54.23/7.27 stat_clsubs_top_meta_pref1_succeeded: 7860
% 54.23/7.27 stat_clsubs_top_meta_pref2_succeeded: 2949
% 54.23/7.27 stat_clsubs_top_meta_pref3_succeeded: 2424
% 54.23/7.27 stat_clsubs_top_meta_pref_succeeded: 2424
% 54.23/7.27 stat_clsubs_meta_attempted: 2424
% 54.23/7.27 stat_clsubs_meta_failed: 20
% 54.23/7.27 stat_clsubs_predsymbs_attempted: 0
% 54.23/7.27 stat_clsubs_unit_attempted: 2424
% 54.23/7.27 stat_clsubs_full_attempted: 0
% 54.23/7.27 stat_forwardsubs_attempted: 33764
% 54.23/7.27 stat_lit_hash_added: 3045
% 54.23/7.27 stat_lit_hash_computed: 37031
% 54.23/7.27 stat_lit_hash_match_found: 2145
% 54.23/7.27 stat_lit_hash_match_miss: 63517
% 54.23/7.27 stat_lit_hash_cut_ok: 0
% 54.23/7.27 stat_lit_strong_cut_ok: 0
% 54.23/7.27 stat_lit_hash_subsume_ok: 2114
% 54.23/7.27 clqueue els 10000000 used 1
% 54.23/7.27 clactive els 10000000 used 183
% 54.23/7.27 clactivesubsume els 10000000 used 1087
% 54.23/7.27 queue_termbuf els 200000000 used 223552
% 54.23/7.27 hyper_termbuf els 100000000 used 1
% 54.23/7.27 active_termbuf els 100000000 used 9892
% 54.23/7.27 varstack els 5000 last used 1
% 54.23/7.27 given_termbuf els 10000000 last used 1
% 54.23/7.27 simplified_termbuf els 10000000 last used 1
% 54.23/7.27 derived_termbuf els 10000000 last used 50
% 54.23/7.27 wr_mallocs: 13047
% 54.23/7.27 wr_callocs: 21
% 54.23/7.27 wr_reallocs: 520
% 54.23/7.27 wr_frees: 2
% 54.23/7.27 wr_malloc_bytes: 4163035156
% 54.23/7.27 wr_calloc_bytes: 112065536
% 54.23/7.27 wr_realloc_bytes: 101720
% 54.23/7.27 wr_realloc_freebytes: 0
% 54.23/7.27 ----------------------------------
%------------------------------------------------------------------------------