TSTP Solution File: REL004+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 13:39:46 EDT 2023
% Result : Theorem 170.71s 22.23s
% Output : CNFRefutation 170.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : gkc %s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 20:38:22 EDT 2023
% 0.11/0.33 % 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: 14
% 0.19/0.39 in_rule_clause_count: 14
% 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: 1
% 0.19/0.39 in_unit_clause_count: 14
% 0.19/0.39 in_horn_clause_count: 14
% 0.19/0.39 in_pos_clause_count: 13
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 13
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 13
% 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: 5
% 0.19/0.39 in_min_size: 5
% 0.19/0.39 in_max_size: 14
% 0.19/0.39 in_min_vars: 0
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 13
% 0.19/0.39 in_axiom_count: 0
% 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 {
% 0.19/0.39 "print":1,
% 0.19/0.39 "print_level": 15,
% 0.19/0.39 "max_size": 0,
% 0.19/0.39 "max_depth": 0,
% 0.19/0.39 "max_length": 0,
% 0.19/0.39 "max_dseconds": 0,
% 0.19/0.39 "runs":[
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% 0.19/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
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% 0.19/0.39
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% 71.50/9.55 fork 1: search terminated without proof.
% 71.50/9.58
% 71.50/9.58 **** run 139 fork 2 starts with strategy
% 71.50/9.58 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"repeat_var_weight":1}
% 71.50/9.59
% 71.50/9.59
% 71.50/9.59 fork 7: search terminated without proof.
% 71.50/9.60
% 71.50/9.60
% 71.50/9.60 fork 4: search terminated without proof.
% 71.50/9.61
% 71.50/9.61 **** run 138 fork 1 starts with strategy
% 71.50/9.61 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1}
% 71.50/9.65
% 71.50/9.65 **** run 141 fork 4 starts with strategy
% 71.50/9.65 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 71.50/9.65
% 71.50/9.65
% 71.50/9.65 fork 0: search terminated without proof.
% 72.18/9.68
% 72.18/9.68 **** run 144 fork 7 starts with strategy
% 72.18/9.68 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 73.17/9.71
% 73.17/9.71 **** run 145 fork 0 starts with strategy
% 73.17/9.71 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20}
% 74.47/9.94
% 74.47/9.94
% 74.47/9.94 fork 3: search terminated without proof.
% 75.57/9.99
% 75.57/9.99 **** run 148 fork 3 starts with strategy
% 75.57/9.99 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":1}
% 78.66/10.40
% 78.66/10.40
% 78.66/10.40 fork 5: search terminated without proof.
% 78.66/10.43
% 78.66/10.43 **** run 150 fork 5 starts with strategy
% 78.66/10.43 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":1,"weight_select_ratio":2}
% 79.62/10.55
% 79.62/10.55
% 79.62/10.55 fork 6: search terminated without proof.
% 79.98/10.59
% 79.98/10.59 **** run 159 fork 6 starts with strategy
% 79.98/10.59 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":5}
% 79.98/10.62
% 79.98/10.62
% 79.98/10.62 fork 2: search terminated without proof.
% 80.69/10.65
% 80.69/10.65
% 80.69/10.65 fork 1: search terminated without proof.
% 80.69/10.68
% 80.69/10.68 **** run 147 fork 2 starts with strategy
% 80.69/10.68 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth":4}
% 80.69/10.68
% 80.69/10.68
% 80.69/10.68 fork 4: search terminated without proof.
% 81.06/10.71
% 81.06/10.71 **** run 146 fork 1 starts with strategy
% 81.06/10.71 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100}
% 81.06/10.72
% 81.06/10.72 **** run 149 fork 4 starts with strategy
% 81.06/10.72 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":1,"rewrite":0}
% 81.06/10.73
% 81.06/10.73
% 81.06/10.73 fork 7: search terminated without proof.
% 81.50/10.75
% 81.50/10.75
% 81.50/10.75 fork 0: search terminated without proof.
% 81.59/10.77
% 81.59/10.77 **** run 153 fork 0 starts with strategy
% 81.59/10.77 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":1}
% 81.59/10.77
% 81.59/10.77 **** run 152 fork 7 starts with strategy
% 81.59/10.77 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":2}
% 83.76/11.05
% 83.76/11.05
% 83.76/11.05 fork 3: search terminated without proof.
% 84.16/11.11
% 84.16/11.11 **** run 156 fork 3 starts with strategy
% 84.16/11.11 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":4}
% 87.05/11.47
% 87.05/11.47
% 87.05/11.47 fork 5: search terminated without proof.
% 87.05/11.52
% 87.05/11.52 **** run 158 fork 5 starts with strategy
% 87.05/11.52 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":5}
% 88.22/11.62
% 88.22/11.62
% 88.22/11.62 fork 6: search terminated without proof.
% 88.56/11.66
% 88.56/11.66 **** run 167 fork 6 starts with strategy
% 88.56/11.66 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 89.28/11.74
% 89.28/11.74
% 89.28/11.74 fork 2: search terminated without proof.
% 89.28/11.76
% 89.28/11.76 **** run 155 fork 2 starts with strategy
% 89.28/11.76 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":3}
% 89.28/11.78
% 89.28/11.78
% 89.28/11.78 fork 4: search terminated without proof.
% 89.67/11.79
% 89.67/11.79
% 89.67/11.79 fork 1: search terminated without proof.
% 89.67/11.82
% 89.67/11.82
% 89.67/11.82 fork 7: search terminated without proof.
% 89.67/11.82
% 89.67/11.82 **** run 154 fork 1 starts with strategy
% 89.67/11.82 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":3}
% 89.67/11.82
% 89.67/11.82
% 89.67/11.82 fork 0: search terminated without proof.
% 89.67/11.82
% 89.67/11.82 **** run 157 fork 4 starts with strategy
% 89.67/11.82 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":4}
% 90.23/11.87
% 90.23/11.87 **** run 160 fork 7 starts with strategy
% 90.23/11.87 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":1,"depth_penalty":50}
% 90.23/11.88
% 90.23/11.88 **** run 161 fork 0 starts with strategy
% 90.23/11.88 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"sine":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 92.07/12.15
% 92.07/12.15
% 92.07/12.15 fork 3: search terminated without proof.
% 92.07/12.20
% 92.07/12.20 **** run 164 fork 3 starts with strategy
% 92.07/12.20 {"max_dseconds":50,"strategy":["unit"],"query_preference":0}
% 95.81/12.57
% 95.81/12.57
% 95.81/12.57 fork 5: search terminated without proof.
% 95.81/12.60
% 95.81/12.60 **** run 166 fork 5 starts with strategy
% 95.81/12.60 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 97.12/12.82
% 97.12/12.82
% 97.12/12.82 fork 2: search terminated without proof.
% 97.12/12.86
% 97.12/12.86
% 97.12/12.86 fork 4: search terminated without proof.
% 97.12/12.87
% 97.12/12.87 **** run 163 fork 2 starts with strategy
% 97.12/12.87 {"max_dseconds":50,"strategy":["unit"],"query_preference":1}
% 97.63/12.88
% 97.63/12.88
% 97.63/12.88 fork 1: search terminated without proof.
% 97.63/12.90
% 97.63/12.90 **** run 165 fork 4 starts with strategy
% 97.63/12.90 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 97.63/12.93
% 97.63/12.93
% 97.63/12.93 fork 7: search terminated without proof.
% 97.63/12.94
% 97.63/12.94 **** run 162 fork 1 starts with strategy
% 97.63/12.94 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1,"sine":1}
% 98.86/12.97
% 98.86/12.97
% 98.86/12.97 fork 0: search terminated without proof.
% 98.86/12.99
% 98.86/12.99 **** run 168 fork 7 starts with strategy
% 98.86/12.99 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 99.29/13.03
% 99.29/13.03 **** run 169 fork 0 starts with strategy
% 99.29/13.03 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 106.75/13.98
% 106.75/13.98
% 106.75/13.98 fork 1: search terminated without proof.
% 106.75/14.01
% 106.75/14.01 **** run 170 fork 1 starts with strategy
% 106.75/14.01 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 127.97/16.67
% 127.97/16.67
% 127.97/16.67 fork 6: search terminated without proof.
% 128.73/16.75
% 128.73/16.75 **** run 175 fork 6 starts with strategy
% 128.73/16.75 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 132.46/17.29
% 132.46/17.29
% 132.46/17.29 fork 3: search terminated without proof.
% 133.10/17.36
% 133.10/17.36 **** run 172 fork 3 starts with strategy
% 133.10/17.36 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 134.74/17.70
% 134.74/17.70
% 134.74/17.70 fork 5: search terminated without proof.
% 136.08/17.76
% 136.08/17.76 **** run 174 fork 5 starts with strategy
% 136.08/17.76 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 137.78/17.93
% 137.78/17.93
% 137.78/17.93 fork 4: search terminated without proof.
% 137.78/17.95
% 137.78/17.95
% 137.78/17.95 fork 2: search terminated without proof.
% 137.78/18.00
% 137.78/18.00 **** run 173 fork 4 starts with strategy
% 137.78/18.00 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 138.51/18.04
% 138.51/18.04 **** run 171 fork 2 starts with strategy
% 138.51/18.04 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 139.99/18.29
% 139.99/18.29
% 139.99/18.29 fork 0: search terminated without proof.
% 141.18/18.35
% 141.18/18.35
% 141.18/18.35 fork 7: search terminated without proof.
% 141.18/18.38
% 141.18/18.38 **** run 177 fork 0 starts with strategy
% 141.18/18.38 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 141.18/18.42
% 141.18/18.42 **** run 176 fork 7 starts with strategy
% 141.18/18.42 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 146.30/19.04
% 146.30/19.04
% 146.30/19.04 fork 1: search terminated without proof.
% 146.67/19.10
% 146.67/19.10 **** run 178 fork 1 starts with strategy
% 146.67/19.10 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 168.83/21.91
% 168.83/21.91
% 168.83/21.91 fork 6: search terminated without proof.
% 169.34/22.00
% 169.34/22.00 **** run 183 fork 6 starts with strategy
% 169.34/22.00 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 170.71/22.23
% 170.71/22.23
% 170.71/22.23 result: proof found
% 170.71/22.23 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.71/22.23 by run 172 fork 3 strategy {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 170.71/22.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.71/22.23
% 170.71/22.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.71/22.23 fof('$inc_composition_identity_$sk', plain, (composition(X1,one) = X1),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_composition_identity'])).
% 170.71/22.23 fof('$inc_composition_identity', axiom, (! [X0] : (composition(X0,one) = X0)),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_converse_idempotence_$sk', plain, (converse(converse(X1)) = X1),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_converse_idempotence'])).
% 170.71/22.23 fof('$inc_converse_idempotence', axiom, (! [X0] : (converse(converse(X0)) = X0)),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_converse_multiplicativity_$sk', plain, (converse(composition(X2,X1)) = composition(converse(X1),converse(X2))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_converse_multiplicativity'])).
% 170.71/22.23 fof('$inc_converse_multiplicativity', axiom, (! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0)))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_converse_cancellativity_$sk', plain, (join(composition(converse(X2),complement(composition(X2,X1))),complement(X1)) = complement(X1)),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_converse_cancellativity'])).
% 170.71/22.23 fof('$inc_converse_cancellativity', axiom, (! [X0,X1] : (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_maddux4_definiton_of_meet_$sk', plain, (meet(X2,X1) = complement(join(complement(X2),complement(X1)))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_maddux4_definiton_of_meet'])).
% 170.71/22.23 fof('$inc_maddux4_definiton_of_meet', axiom, (! [X0,X1] : (meet(X0,X1) = complement(join(complement(X0),complement(X1))))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_def_zero_$sk', plain, (zero = meet(X1,complement(X1))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_def_zero'])).
% 170.71/22.23 fof('$inc_def_zero', axiom, (! [X0] : (zero = meet(X0,complement(X0)))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_maddux3_a_kind_of_de_Morgan_$sk', plain, (X2 = join(complement(join(complement(X2),complement(X1))),complement(join(complement(X2),X1)))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_maddux3_a_kind_of_de_Morgan'])).
% 170.71/22.23 fof('$inc_maddux3_a_kind_of_de_Morgan', axiom, (! [X0,X1] : (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_maddux1_join_commutativity_$sk', plain, (join(X2,X1) = join(X1,X2)),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_maddux1_join_commutativity'])).
% 170.71/22.23 fof('$inc_maddux1_join_commutativity', axiom, (! [X0,X1] : (join(X0,X1) = join(X1,X0))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_def_top_$sk', plain, (top = join(X1,complement(X1))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_def_top'])).
% 170.71/22.23 fof('$inc_def_top', axiom, (! [X0] : (top = join(X0,complement(X0)))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_maddux2_join_associativity_$sk', plain, (join(X3,join(X1,X2)) = join(join(X3,X1),X2)),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_maddux2_join_associativity'])).
% 170.71/22.23 fof('$inc_maddux2_join_associativity', axiom, (! [X0,X1,X2] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2))),
% 170.71/22.23 input).
% 170.71/22.23 fof('$inc_converse_additivity_$sk', plain, (converse(join(X2,X1)) = join(converse(X2),converse(X1))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['$inc_converse_additivity'])).
% 170.71/22.23 fof('$inc_converse_additivity', axiom, (! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1)))),
% 170.71/22.23 input).
% 170.71/22.23 fof('goals_$sk', plain, ~(converse(complement($sk1)) = complement(converse($sk1))),
% 170.71/22.23 inference(negpush_and_skolemize,[],['goals'])).
% 170.71/22.23 fof('goals', conjecture, (! [X0] : (converse(complement(X0)) = complement(converse(X0)))),
% 170.71/22.23 input).
% 170.71/22.23 cnf('1', plain, (composition(X,one) = X),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_composition_identity_$sk'])).
% 170.71/22.23 cnf('2', plain, (converse(converse(X)) = X),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_converse_idempotence_$sk'])).
% 170.71/22.23 cnf('3', plain, (converse(composition(X,Y)) = composition(converse(Y),converse(X))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_converse_multiplicativity_$sk'])).
% 170.71/22.23 cnf('4', plain, (converse(composition(converse(X),Y)) = composition(converse(Y),X)),
% 170.71/22.23 inference(paramodulation,[],['2','3'])).
% 170.71/22.23 cnf('5', plain, (converse(converse(X3)) = composition(converse(one),X3)),
% 170.71/22.23 inference(paramodulation,[],['1','4'])).
% 170.71/22.23 cnf('6', plain, (X = composition(converse(one),X)),
% 170.71/22.23 inference(simplify,[],['5','2'])).
% 170.71/22.23 cnf('7', plain, (join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y)),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_converse_cancellativity_$sk'])).
% 170.71/22.23 cnf('8', plain, (join(complement(composition(one,X3)),complement(X3)) = complement(X3)),
% 170.71/22.23 inference(paramodulation,[],['6','7'])).
% 170.71/22.23 cnf('9', plain, (one = converse(one)),
% 170.71/22.23 inference(paramodulation,[],['6','1'])).
% 170.71/22.23 cnf('10', plain, (X = composition(one,X)),
% 170.71/22.23 inference(paramodulation,[],['9','6'])).
% 170.71/22.23 cnf('11', plain, (join(complement(X),complement(X)) = complement(X)),
% 170.71/22.23 inference(simplify,[],['8','10'])).
% 170.71/22.23 cnf('12', plain, (meet(X,Y) = complement(join(complement(X),complement(Y)))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_maddux4_definiton_of_meet_$sk'])).
% 170.71/22.23 cnf('13', plain, (meet(X,X) = complement(complement(X))),
% 170.71/22.23 inference(paramodulation,[],['11','12'])).
% 170.71/22.23 cnf('14', plain, (zero = meet(X,complement(X))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_def_zero_$sk'])).
% 170.71/22.23 cnf('15', plain, (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_maddux3_a_kind_of_de_Morgan_$sk'])).
% 170.71/22.23 cnf('16', plain, (X = join(meet(X,Y),complement(join(complement(X),Y)))),
% 170.71/22.23 inference(simplify,[],['15','12'])).
% 170.71/22.23 cnf('17', plain, (X = join(meet(X,complement(Y)),meet(X,Y))),
% 170.71/22.23 inference(paramodulation,[],['12','16'])).
% 170.71/22.23 cnf('18', plain, (X = join(zero,meet(X,X))),
% 170.71/22.23 inference(paramodulation,[],['14','17'])).
% 170.71/22.23 cnf('19', plain, (join(X,Y) = join(Y,X)),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_maddux1_join_commutativity_$sk'])).
% 170.71/22.23 cnf('20', plain, (X = join(meet(X,X),zero)),
% 170.71/22.23 inference(paramodulation,[],['18','19'])).
% 170.71/22.23 cnf('21', plain, (X = join(complement(complement(X)),zero)),
% 170.71/22.23 inference(paramodulation,[],['13','20'])).
% 170.71/22.23 cnf('22', plain, (top = join(X,complement(X))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_def_top_$sk'])).
% 170.71/22.23 cnf('23', plain, (meet(X3,complement(X3)) = complement(top)),
% 170.71/22.23 inference(paramodulation,[],['22','12'])).
% 170.71/22.23 cnf('24', plain, (zero = complement(top)),
% 170.71/22.23 inference(simplify,[],['23','14'])).
% 170.71/22.23 cnf('25', plain, (meet(X,top) = complement(join(complement(X),zero))),
% 170.71/22.23 inference(paramodulation,[],['24','12'])).
% 170.71/22.23 cnf('26', plain, (meet(complement(X),top) = complement(X)),
% 170.71/22.23 inference(paramodulation,[],['21','25'])).
% 170.71/22.23 cnf('27', plain, (join(X,join(Y,Z)) = join(join(X,Y),Z)),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_maddux2_join_associativity_$sk'])).
% 170.71/22.23 cnf('28', plain, (join(X,join(complement(X),Y)) = join(top,Y)),
% 170.71/22.23 inference(paramodulation,[],['22','27'])).
% 170.71/22.23 cnf('29', plain, (join(join(complement(X),Y),X) = join(top,Y)),
% 170.71/22.23 inference(paramodulation,[],['28','19'])).
% 170.71/22.23 cnf('30', plain, (join(complement(X3),X3) = join(top,complement(X3))),
% 170.71/22.23 inference(paramodulation,[],['11','29'])).
% 170.71/22.23 cnf('31', plain, (top = join(complement(X),X)),
% 170.71/22.23 inference(paramodulation,[],['22','19'])).
% 170.71/22.23 cnf('32', plain, (top = join(top,complement(X))),
% 170.71/22.23 inference(simplify,[],['30','31'])).
% 170.71/22.23 cnf('33', plain, (join(X,join(Y,complement(join(X,Y)))) = top),
% 170.71/22.23 inference(paramodulation,[],['22','27'])).
% 170.71/22.23 cnf('34', plain, (join(X,top) = top),
% 170.71/22.23 inference(paramodulation,[],['32','33'])).
% 170.71/22.23 cnf('35', plain, (X3 = join(meet(X3,top),complement(top))),
% 170.71/22.23 inference(paramodulation,[],['34','16'])).
% 170.71/22.23 cnf('36', plain, (X = join(meet(X,top),zero)),
% 170.71/22.23 inference(simplify,[],['35','24'])).
% 170.71/22.23 cnf('37', plain, (complement(X) = join(complement(X),zero)),
% 170.71/22.23 inference(paramodulation,[],['26','36'])).
% 170.71/22.23 cnf('38', plain, (X = complement(complement(X))),
% 170.71/22.23 inference(paramodulation,[],['37','21'])).
% 170.71/22.23 cnf('39', plain, (converse(join(X,Y)) = join(converse(X),converse(Y))),
% 170.71/22.23 inference(cnf_transformation,[],['$inc_converse_additivity_$sk'])).
% 170.71/22.23 cnf('40', plain, (converse(join(converse(X),Y)) = join(X,converse(Y))),
% 170.71/22.23 inference(paramodulation,[],['2','39'])).
% 170.71/22.23 cnf('41', plain, (converse(top) = join(X,converse(complement(converse(X))))),
% 170.71/22.23 inference(paramodulation,[],['22','40'])).
% 170.71/22.23 cnf('42', plain, (X3 = join(meet(X3,converse(complement(converse(complement(X3))))),complement(converse(top)))),
% 170.71/22.23 inference(paramodulation,[],['41','16'])).
% 170.71/22.23 cnf('43', plain, (join(join(X,complement(join(Y,X))),Y) = top),
% 170.71/22.23 inference(paramodulation,[],['33','19'])).
% 170.71/22.23 cnf('44', plain, (join(top,X) = top),
% 170.71/22.23 inference(paramodulation,[],['32','43'])).
% 170.71/22.23 cnf('45', plain, (converse(top) = top),
% 170.71/22.23 inference(paramodulation,[],['44','41'])).
% 170.71/22.23 cnf('46', plain, (X = join(X,zero)),
% 170.71/22.23 inference(paramodulation,[],['38','21'])).
% 170.71/22.23 cnf('47', plain, (X = meet(X,converse(complement(converse(complement(X)))))),
% 170.71/22.23 inference(simplify,[then_simplify],['42','45','24','46'])).
% 170.71/22.23 cnf('48', plain, (join(complement(X),complement(Y)) = complement(meet(X,Y))),
% 170.71/22.23 inference(paramodulation,[],['12','38'])).
% 170.71/22.23 cnf('49', plain, (join(X,top) = join(join(X,Y),complement(Y))),
% 170.71/22.23 inference(paramodulation,[],['22','27'])).
% 170.71/22.23 cnf('50', plain, (join(complement(X),join(Y,X)) = join(Y,top)),
% 170.71/22.23 inference(paramodulation,[],['49','19'])).
% 170.71/22.23 cnf('51', plain, (meet(X,complement(Y)) = complement(join(complement(X),Y))),
% 170.71/22.23 inference(paramodulation,[],['38','12'])).
% 170.71/22.23 cnf('52', plain, (meet(X3,complement(join(Y3,X3))) = complement(join(Y3,top))),
% 170.71/22.23 inference(paramodulation,[],['50','51'])).
% 170.71/22.23 cnf('53', plain, (meet(X,complement(join(Y,X))) = zero),
% 170.71/22.23 inference(simplify,[then_simplify],['52','34','24'])).
% 170.71/22.23 cnf('54', plain, (X = join(meet(X,Y),meet(X,complement(Y)))),
% 170.71/22.23 inference(paramodulation,[],['17','19'])).
% 170.71/22.23 cnf('55', plain, (X3 = join(meet(X3,join(Y3,X3)),zero)),
% 170.71/22.23 inference(paramodulation,[],['53','54'])).
% 170.71/22.23 cnf('56', plain, (X = meet(X,join(Y,X))),
% 170.71/22.23 inference(simplify,[],['55','46'])).
% 170.71/22.23 cnf('57', plain, (complement(X3) = meet(complement(X3),complement(meet(Y3,X3)))),
% 170.71/22.23 inference(paramodulation,[],['48','56'])).
% 170.71/22.23 cnf('58', plain, (meet(complement(X),complement(Y)) = complement(join(X,Y))),
% 170.71/22.23 inference(paramodulation,[],['38','51'])).
% 170.71/22.23 cnf('59', plain, (complement(X) = complement(join(X,meet(Y,X)))),
% 170.71/22.23 inference(simplify,[],['57','58'])).
% 170.71/22.23 cnf('60', plain, (join(X3,meet(Y3,X3)) = complement(complement(X3))),
% 170.71/22.23 inference(paramodulation,[],['59','38'])).
% 170.71/22.23 cnf('61', plain, (join(X,meet(Y,X)) = X),
% 170.71/22.23 inference(simplify,[],['60','38'])).
% 170.71/22.23 cnf('62', plain, (join(complement(complement(X3)),complement(complement(X3))) = X3),
% 170.71/22.23 inference(paramodulation,[],['38','11'])).
% 170.71/22.23 cnf('63', plain, (join(X,X) = X),
% 170.71/22.23 inference(simplify,[then_simplify],['62','38','38'])).
% 170.71/22.23 cnf('64', plain, (join(X,Y) = join(join(X,Y),Y)),
% 170.71/22.23 inference(paramodulation,[],['63','27'])).
% 170.71/22.23 cnf('65', plain, (join(X,join(Y,X)) = join(Y,X)),
% 170.71/22.23 inference(paramodulation,[],['64','19'])).
% 170.71/22.23 cnf('66', plain, (meet(meet(X,Y),complement(X)) = zero),
% 170.71/22.23 inference(paramodulation,[],['17','53'])).
% 170.71/22.23 cnf('67', plain, (meet(meet(complement(X),Y),X) = zero),
% 170.71/22.23 inference(paramodulation,[],['38','66'])).
% 170.71/22.23 cnf('68', plain, (meet(complement(join(X,Y)),X) = zero),
% 170.71/22.23 inference(paramodulation,[],['58','67'])).
% 170.71/22.23 cnf('69', plain, (meet(complement(join(X,Y)),Y) = zero),
% 170.71/22.23 inference(paramodulation,[],['65','68'])).
% 170.71/22.23 cnf('70', plain, (meet(complement(converse(join(X,Y))),converse(Y)) = zero),
% 170.71/22.23 inference(paramodulation,[],['39','69'])).
% 170.71/22.23 cnf('71', plain, (meet(complement(converse(X)),converse(meet(Y,X))) = zero),
% 170.71/22.23 inference(paramodulation,[],['61','70'])).
% 170.71/22.23 cnf('72', plain, (meet(complement(X),converse(meet(Y,converse(X)))) = zero),
% 170.71/22.23 inference(paramodulation,[],['2','71'])).
% 170.71/22.23 cnf('73', plain, (meet(X,converse(meet(Y,converse(complement(X))))) = zero),
% 170.71/22.23 inference(paramodulation,[],['38','72'])).
% 170.71/22.23 cnf('74', plain, (meet(converse(complement(X)),converse(X)) = zero),
% 170.71/22.23 inference(paramodulation,[],['47','73'])).
% 170.71/22.23 cnf('75', plain, (meet(converse(complement(converse(X))),X) = zero),
% 170.71/22.23 inference(paramodulation,[],['2','74'])).
% 170.71/22.23 cnf('76', plain, (join(meet(X,Y),Y) = Y),
% 170.71/22.23 inference(paramodulation,[],['61','19'])).
% 170.71/22.23 cnf('77', plain, (join(meet(X,complement(Y)),join(meet(X,Y),Z)) = join(X,Z)),
% 170.96/22.23 inference(paramodulation,[],['17','27'])).
% 170.96/22.23 cnf('78', plain, (join(meet(X,complement(Y)),Y) = join(X,Y)),
% 170.96/22.23 inference(paramodulation,[],['76','77'])).
% 170.96/22.23 cnf('79', plain, (join(zero,X3) = join(converse(complement(converse(complement(X3)))),X3)),
% 170.96/22.23 inference(paramodulation,[],['75','78'])).
% 170.96/22.23 cnf('80', plain, (X = join(zero,complement(complement(X)))),
% 170.96/22.23 inference(paramodulation,[],['13','18'])).
% 170.96/22.23 cnf('81', plain, (X = join(zero,X)),
% 170.96/22.23 inference(paramodulation,[],['38','80'])).
% 170.96/22.23 cnf('82', plain, (X = join(converse(complement(converse(complement(X)))),X)),
% 170.96/22.23 inference(simplify,[],['79','81'])).
% 170.96/22.23 cnf('83', plain, (converse(X) = join(complement(converse(complement(X))),converse(X))),
% 170.96/22.23 inference(paramodulation,[],['82','40'])).
% 170.96/22.23 cnf('84', plain, (converse(complement(X3)) = join(complement(converse(X3)),converse(complement(X3)))),
% 170.96/22.23 inference(paramodulation,[],['38','83'])).
% 170.96/22.23 cnf('85', plain, (complement(X) = meet(complement(X),converse(complement(converse(X))))),
% 170.96/22.23 inference(paramodulation,[],['38','47'])).
% 170.96/22.23 cnf('86', plain, (converse(converse(X3)) = join(X3,converse(meet(Y3,converse(X3))))),
% 170.96/22.23 inference(paramodulation,[],['61','40'])).
% 170.96/22.23 cnf('87', plain, (X = join(X,converse(meet(Y,converse(X))))),
% 170.96/22.23 inference(simplify,[],['86','2'])).
% 170.96/22.23 cnf('88', plain, (complement(converse(X)) = join(complement(converse(X)),converse(complement(X)))),
% 170.96/22.23 inference(paramodulation,[],['85','87'])).
% 170.96/22.23 cnf('89', plain, (converse(complement(X)) = complement(converse(X))),
% 170.96/22.23 inference(simplify,[],['84','88'])).
% 170.96/22.23 cnf('90', plain, (converse(complement($sk1)) != complement(converse($sk1))),
% 170.96/22.23 inference(cnf_transformation,[],['goals_$sk'])).
% 170.96/22.23 cnf('91', plain, ($false),
% 170.96/22.23 inference(resolution,[],['89','90'])).
% 170.96/22.23
% 170.96/22.23 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.96/22.23
% 170.96/22.23 run 172 fork 3 statistics:
% 170.96/22.23 ----------------------------------
% 170.96/22.23 this run seconds: 4.517780
% 170.96/22.23 total seconds: 21.221489
% 170.96/22.23 stat_given_used: 1746
% 170.96/22.23 stat_given_used_at_endgame: 1721
% 170.96/22.23 stat_given_candidates: 24580
% 170.96/22.23 stat_given_candidates_at_endgame: 24481
% 170.96/22.23 stat_given_candidates_h: 0
% 170.96/22.23 stat_binres_derived_cl: 1
% 170.96/22.23 stat_binres_derived_cl_h: 0
% 170.96/22.23 stat_factor_derived_cl: 0
% 170.96/22.23 stat_para_derived_cl: 1370756
% 170.96/22.23 stat_tautologies_discarded: 0
% 170.96/22.23 stat_forward_subsumed: 679463
% 170.96/22.23 stat_derived_cut: 0
% 170.96/22.23 stat_derived_rewritten: 395
% 170.96/22.23 stat_weight_discarded_building: 0
% 170.96/22.23 stat_weight_discarded_cl: 262010
% 170.96/22.23 stat_internlimit_discarded_cl: 0
% 170.96/22.23 stat_simplified: 395 simplified 0 derived 0 given
% 170.96/22.23 stat_kept_cl: 386343
% 170.96/22.23 stat_built_cl: 652240
% 170.96/22.23 stat_hyperres_partial_cl: 0
% 170.96/22.23 stat_made_rewriters: 1677
% 170.96/22.23 stat_backward_subsumed: 0
% 170.96/22.23 stat_propagated_subsumed: 0
% 170.96/22.23 stat_clsubs_attempted: 169834
% 170.96/22.23 stat_clsubs_fact_groundunit_found: 0
% 170.96/22.23 stat_clsubs_rule_groundunit_found: 1
% 170.96/22.23 stat_clsubs_top_meta_attempted: 1444887
% 170.96/22.23 stat_clsubs_top_meta_failed: 1275053
% 170.96/22.23 stat_clsubs_top_meta_nonpref_attempted: 1444887
% 170.96/22.23 stat_clsubs_top_meta_nonpref_succeeded: 607105
% 170.96/22.23 stat_clsubs_top_meta_pref_attempted: 607105
% 170.96/22.23 stat_clsubs_top_meta_pref1_succeeded: 607105
% 170.96/22.23 stat_clsubs_top_meta_pref2_succeeded: 241740
% 170.96/22.23 stat_clsubs_top_meta_pref3_succeeded: 169834
% 170.96/22.23 stat_clsubs_top_meta_pref_succeeded: 169834
% 170.96/22.23 stat_clsubs_meta_attempted: 169834
% 170.96/22.23 stat_clsubs_meta_failed: 3711
% 170.96/22.23 stat_clsubs_predsymbs_attempted: 0
% 170.96/22.23 stat_clsubs_unit_attempted: 169834
% 170.96/22.23 stat_clsubs_full_attempted: 0
% 170.96/22.23 stat_forwardsubs_attempted: 1327816
% 170.96/22.23 stat_lit_hash_added: 386396
% 170.96/22.23 stat_lit_hash_computed: 1716262
% 170.96/22.23 stat_lit_hash_match_found: 679593
% 170.96/22.23 stat_lit_hash_match_miss: 1299021
% 170.96/22.23 stat_lit_hash_cut_ok: 0
% 170.96/22.23 stat_lit_strong_cut_ok: 0
% 170.96/22.23 stat_lit_hash_subsume_ok: 679463
% 170.96/22.23 clqueue els 10000000 used 1
% 170.96/22.23 clactive els 10000000 used 1747
% 170.96/22.23 clactivesubsume els 10000000 used 10243
% 170.96/22.23 queue_termbuf els 200000000 used 31716638
% 170.96/22.23 hyper_termbuf els 100000000 used 1
% 170.96/22.23 active_termbuf els 100000000 used 83780
% 170.96/22.23 varstack els 5000 last used 1
% 170.96/22.23 given_termbuf els 10000000 last used 38
% 170.96/22.23 simplified_termbuf els 10000000 last used 1
% 170.96/22.23 derived_termbuf els 10000000 last used 3
% 170.96/22.23 wr_mallocs: 294073
% 170.96/22.23 wr_callocs: 19
% 170.96/22.23 wr_reallocs: 87427
% 170.96/22.23 wr_frees: 2
% 170.96/22.23 wr_malloc_bytes: 4176389028
% 170.96/22.23 wr_calloc_bytes: 96065504
% 170.96/22.23 wr_realloc_bytes: 16108080
% 170.96/22.23 wr_realloc_freebytes: 0
% 170.96/22.23 ----------------------------------
%------------------------------------------------------------------------------