TSTP Solution File: REL023+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n027.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 13:40:05 EDT 2023
% Result : Theorem 0.21s 0.78s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 19:44:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.39
% 0.21/0.39 input clause set summed statistics:
% 0.21/0.39 ----------------------------------
% 0.21/0.39 in_clause_count: 14
% 0.21/0.39 in_rule_clause_count: 14
% 0.21/0.39 in_fact_clause_count: 0
% 0.21/0.39 in_answer_clause_count: 0
% 0.21/0.39 in_ground_clause_count: 1
% 0.21/0.39 in_unit_clause_count: 14
% 0.21/0.39 in_horn_clause_count: 14
% 0.21/0.39 in_pos_clause_count: 13
% 0.21/0.39 in_neg_clause_count: 1
% 0.21/0.39 in_poseq_clause_count: 13
% 0.21/0.39 in_negeq_clause_count: 1
% 0.21/0.39 in_unitposeq_clause_count: 13
% 0.21/0.39 in_chain_clause_count: 0
% 0.21/0.39 in_min_length: 1
% 0.21/0.39 in_max_length: 1
% 0.21/0.39 in_min_depth: 2
% 0.21/0.39 in_max_depth: 5
% 0.21/0.39 in_min_size: 5
% 0.21/0.39 in_max_size: 20
% 0.21/0.39 in_min_vars: 0
% 0.21/0.39 in_max_vars: 3
% 0.21/0.39 in_extaxiom_count: 13
% 0.21/0.39 in_axiom_count: 0
% 0.21/0.39 in_assumption_count: 0
% 0.21/0.39 in_goal_count: 1
% 0.21/0.39 in_neg_goal_count: 1
% 0.21/0.39 in_pos_goal_count: 0
% 0.21/0.39 in_posunit_goal_count: 0
% 0.21/0.39
% 0.21/0.39 auto guide:
% 0.21/0.39 -----------
% 0.21/0.39 {
% 0.21/0.39 "print":1,
% 0.21/0.39 "print_level": 15,
% 0.21/0.39 "max_size": 0,
% 0.21/0.39 "max_depth": 0,
% 0.21/0.39 "max_length": 0,
% 0.21/0.39 "max_dseconds": 0,
% 0.21/0.39 "runs":[
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% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
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% 0.21/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.21/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.21/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1}
% 0.21/0.39
% 0.21/0.39 ]}
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 **** run 1 fork 0 starts with strategy
% 0.21/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.39
% 0.21/0.39 **** run 2 fork 1 starts with strategy
% 0.21/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.39
% 0.21/0.39 **** run 3 fork 2 starts with strategy
% 0.21/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.40
% 0.21/0.40 **** run 4 fork 3 starts with strategy
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% 0.21/0.40 **** run 7 fork 6 starts with strategy
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% 0.21/0.40 **** run 5 fork 4 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.21/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.21/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.21/0.40
% 0.21/0.40 **** run 6 fork 5 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
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% 0.21/0.41 **** run 8 fork 7 starts with strategy
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% 0.21/0.52
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% 0.21/0.52 fork 1: search terminated without proof.
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% 0.21/0.52 fork 4: search terminated without proof.
% 0.21/0.54
% 0.21/0.54 **** run 10 fork 1 starts with strategy
% 0.21/0.54
% 0.21/0.54 **** run 11 fork 2 starts with strategy
% 0.21/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 fork 0: search terminated without proof.
% 0.21/0.54
% 0.21/0.54 **** run 15 fork 6 starts with strategy
% 0.21/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.21/0.54
% 0.21/0.54 **** run 12 fork 3 starts with strategy
% 0.21/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.55
% 0.21/0.55 **** run 13 fork 4 starts with strategy
% 0.21/0.55 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.21/0.55
% 0.21/0.55 **** run 14 fork 5 starts with strategy
% 0.21/0.55 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.21/0.55
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% 0.21/0.55 fork 7: search terminated without proof.
% 0.21/0.57
% 0.21/0.57 **** run 9 fork 0 starts with strategy
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% 0.21/0.57
% 0.21/0.57 **** run 16 fork 7 starts with strategy
% 0.21/0.57 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.21/0.66
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% 0.21/0.66 fork 1: search terminated without proof.
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% 0.21/0.66 fork 5: search terminated without proof.
% 0.21/0.68
% 0.21/0.68 **** run 18 fork 1 starts with strategy
% 0.21/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.21/0.68
% 0.21/0.68 **** run 19 fork 2 starts with strategy
% 0.21/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 0.21/0.68
% 0.21/0.68 **** run 20 fork 3 starts with strategy
% 0.21/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.21/0.68
% 0.21/0.68 **** run 21 fork 4 starts with strategy
% 0.21/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
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% 0.21/0.68 fork 0: search terminated without proof.
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% 0.21/0.68 fork 7: search terminated without proof.
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% 0.21/0.69 **** run 22 fork 5 starts with strategy
% 0.21/0.69 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.21/0.70
% 0.21/0.70 **** run 17 fork 0 starts with strategy
% 0.21/0.70 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.21/0.70
% 0.21/0.70 **** run 24 fork 7 starts with strategy
% 0.21/0.70 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 0.21/0.78
% 0.21/0.78
% 0.21/0.78 result: proof found
% 0.21/0.78 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.78 by run 15 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.21/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.78
% 0.21/0.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.78 fof('$inc_maddux4_definiton_of_meet_$sk', plain, (meet(X2,X1) = complement(join(complement(X2),complement(X1)))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_maddux4_definiton_of_meet'])).
% 0.21/0.78 fof('$inc_maddux4_definiton_of_meet', axiom, (! [X0,X1] : (meet(X0,X1) = complement(join(complement(X0),complement(X1))))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_maddux3_a_kind_of_de_Morgan_$sk', plain, (X2 = join(complement(join(complement(X2),complement(X1))),complement(join(complement(X2),X1)))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_maddux3_a_kind_of_de_Morgan'])).
% 0.21/0.78 fof('$inc_maddux3_a_kind_of_de_Morgan', axiom, (! [X0,X1] : (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_maddux1_join_commutativity_$sk', plain, (join(X2,X1) = join(X1,X2)),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_maddux1_join_commutativity'])).
% 0.21/0.78 fof('$inc_maddux1_join_commutativity', axiom, (! [X0,X1] : (join(X0,X1) = join(X1,X0))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_def_zero_$sk', plain, (zero = meet(X1,complement(X1))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_def_zero'])).
% 0.21/0.78 fof('$inc_def_zero', axiom, (! [X0] : (zero = meet(X0,complement(X0)))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_composition_identity_$sk', plain, (composition(X1,one) = X1),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_composition_identity'])).
% 0.21/0.78 fof('$inc_composition_identity', axiom, (! [X0] : (composition(X0,one) = X0)),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_converse_idempotence_$sk', plain, (converse(converse(X1)) = X1),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_converse_idempotence'])).
% 0.21/0.78 fof('$inc_converse_idempotence', axiom, (! [X0] : (converse(converse(X0)) = X0)),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_converse_multiplicativity_$sk', plain, (converse(composition(X2,X1)) = composition(converse(X1),converse(X2))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_converse_multiplicativity'])).
% 0.21/0.78 fof('$inc_converse_multiplicativity', axiom, (! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0)))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_converse_cancellativity_$sk', plain, (join(composition(converse(X2),complement(composition(X2,X1))),complement(X1)) = complement(X1)),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_converse_cancellativity'])).
% 0.21/0.78 fof('$inc_converse_cancellativity', axiom, (! [X0,X1] : (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_def_top_$sk', plain, (top = join(X1,complement(X1))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_def_top'])).
% 0.21/0.78 fof('$inc_def_top', axiom, (! [X0] : (top = join(X0,complement(X0)))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_maddux2_join_associativity_$sk', plain, (join(X3,join(X1,X2)) = join(join(X3,X1),X2)),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_maddux2_join_associativity'])).
% 0.21/0.78 fof('$inc_maddux2_join_associativity', axiom, (! [X0,X1,X2] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2))),
% 0.21/0.78 input).
% 0.21/0.78 fof('$inc_composition_distributivity_$sk', plain, (composition(join(X3,X2),X1) = join(composition(X3,X1),composition(X2,X1))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['$inc_composition_distributivity'])).
% 0.21/0.78 fof('$inc_composition_distributivity', axiom, (! [X0,X1,X2] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)))),
% 0.21/0.78 input).
% 0.21/0.78 fof('goals_$sk', plain, ~(join(composition(meet($sk3,converse($sk2)),meet($sk2,$sk1)),composition($sk3,meet($sk2,$sk1))) = composition($sk3,meet($sk2,$sk1))),
% 0.21/0.78 inference(negpush_and_skolemize,[],['goals'])).
% 0.21/0.78 fof('goals', conjecture, (! [X0,X1,X2] : (join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)))),
% 0.21/0.78 input).
% 0.21/0.78 cnf('1', plain, (meet(X,Y) = complement(join(complement(X),complement(Y)))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_maddux4_definiton_of_meet_$sk'])).
% 0.21/0.78 cnf('2', plain, (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_maddux3_a_kind_of_de_Morgan_$sk'])).
% 0.21/0.78 cnf('3', plain, (X = join(meet(X,Y),complement(join(complement(X),Y)))),
% 0.21/0.78 inference(simplify,[],['2','1'])).
% 0.21/0.78 cnf('4', plain, (X = join(meet(X,complement(Y)),meet(X,Y))),
% 0.21/0.78 inference(paramodulation,[],['1','3'])).
% 0.21/0.78 cnf('5', plain, (join(X,Y) = join(Y,X)),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_maddux1_join_commutativity_$sk'])).
% 0.21/0.78 cnf('6', plain, (X = join(meet(X,Y),meet(X,complement(Y)))),
% 0.21/0.78 inference(paramodulation,[],['4','5'])).
% 0.21/0.78 cnf('7', plain, (zero = meet(X,complement(X))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_def_zero_$sk'])).
% 0.21/0.78 cnf('8', plain, (X3 = join(zero,meet(X3,X3))),
% 0.21/0.78 inference(paramodulation,[],['7','4'])).
% 0.21/0.78 cnf('9', plain, (composition(X,one) = X),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_composition_identity_$sk'])).
% 0.21/0.78 cnf('10', plain, (converse(converse(X)) = X),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_converse_idempotence_$sk'])).
% 0.21/0.78 cnf('11', plain, (converse(composition(X,Y)) = composition(converse(Y),converse(X))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_converse_multiplicativity_$sk'])).
% 0.21/0.78 cnf('12', plain, (converse(composition(converse(X),Y)) = composition(converse(Y),X)),
% 0.21/0.78 inference(paramodulation,[],['10','11'])).
% 0.21/0.78 cnf('13', plain, (converse(converse(X3)) = composition(converse(one),X3)),
% 0.21/0.78 inference(paramodulation,[],['9','12'])).
% 0.21/0.78 cnf('14', plain, (X = composition(converse(one),X)),
% 0.21/0.78 inference(simplify,[],['13','10'])).
% 0.21/0.78 cnf('15', plain, (join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y)),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_converse_cancellativity_$sk'])).
% 0.21/0.78 cnf('16', plain, (join(complement(composition(one,X3)),complement(X3)) = complement(X3)),
% 0.21/0.78 inference(paramodulation,[],['14','15'])).
% 0.21/0.78 cnf('17', plain, (one = converse(one)),
% 0.21/0.78 inference(paramodulation,[],['14','9'])).
% 0.21/0.78 cnf('18', plain, (X = composition(one,X)),
% 0.21/0.78 inference(paramodulation,[],['17','14'])).
% 0.21/0.78 cnf('19', plain, (join(complement(X),complement(X)) = complement(X)),
% 0.21/0.78 inference(simplify,[],['16','18'])).
% 0.21/0.78 cnf('20', plain, (meet(X,X) = complement(complement(X))),
% 0.21/0.78 inference(paramodulation,[],['19','1'])).
% 0.21/0.78 cnf('21', plain, (X = join(zero,complement(complement(X)))),
% 0.21/0.78 inference(simplify,[],['8','20'])).
% 0.21/0.78 cnf('22', plain, (X = join(complement(complement(X)),zero)),
% 0.21/0.78 inference(paramodulation,[],['21','5'])).
% 0.21/0.78 cnf('23', plain, (top = join(X,complement(X))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_def_top_$sk'])).
% 0.21/0.78 cnf('24', plain, (meet(X3,complement(X3)) = complement(top)),
% 0.21/0.78 inference(paramodulation,[],['23','1'])).
% 0.21/0.78 cnf('25', plain, (zero = complement(top)),
% 0.21/0.78 inference(simplify,[],['24','7'])).
% 0.21/0.78 cnf('26', plain, (join(zero,complement(top)) = complement(top)),
% 0.21/0.78 inference(paramodulation,[],['25','19'])).
% 0.21/0.78 cnf('27', plain, (join(zero,zero) = zero),
% 0.21/0.78 inference(simplify,[then_simplify],['26','25','25'])).
% 0.21/0.78 cnf('28', plain, (join(X,join(Y,Z)) = join(join(X,Y),Z)),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_maddux2_join_associativity_$sk'])).
% 0.21/0.78 cnf('29', plain, (join(X,zero) = join(join(X,zero),zero)),
% 0.21/0.78 inference(paramodulation,[],['27','28'])).
% 0.21/0.78 cnf('30', plain, (X3 = join(join(complement(complement(X3)),zero),zero)),
% 0.21/0.78 inference(paramodulation,[],['22','29'])).
% 0.21/0.78 cnf('31', plain, (X = join(X,zero)),
% 0.21/0.78 inference(simplify,[],['30','22'])).
% 0.21/0.78 cnf('32', plain, (X = complement(complement(X))),
% 0.21/0.78 inference(paramodulation,[],['31','22'])).
% 0.21/0.78 cnf('33', plain, (top = join(complement(X),X)),
% 0.21/0.78 inference(paramodulation,[],['23','5'])).
% 0.21/0.78 cnf('34', plain, (join(X3,top) = join(join(X3,complement(Y3)),Y3)),
% 0.21/0.78 inference(paramodulation,[],['33','28'])).
% 0.21/0.78 cnf('35', plain, (join(complement(complement(X3)),complement(complement(X3))) = X3),
% 0.21/0.78 inference(paramodulation,[],['32','19'])).
% 0.21/0.78 cnf('36', plain, (join(X,X) = X),
% 0.21/0.78 inference(simplify,[then_simplify],['35','32','32'])).
% 0.21/0.78 cnf('37', plain, (join(X,join(X,Y)) = join(X,Y)),
% 0.21/0.78 inference(paramodulation,[],['36','28'])).
% 0.21/0.78 cnf('38', plain, (join(X3,top) = join(X3,complement(X3))),
% 0.21/0.78 inference(paramodulation,[],['23','37'])).
% 0.21/0.78 cnf('39', plain, (join(X,top) = top),
% 0.21/0.78 inference(simplify,[],['38','23'])).
% 0.21/0.78 cnf('40', plain, (top = join(join(X,complement(Y)),Y)),
% 0.21/0.78 inference(simplify,[],['34','39'])).
% 0.21/0.78 cnf('41', plain, (top = join(X,join(complement(X),Y))),
% 0.21/0.78 inference(paramodulation,[],['3','40'])).
% 0.21/0.78 cnf('42', plain, (top = join(complement(X),join(X,Y))),
% 0.21/0.78 inference(paramodulation,[],['32','41'])).
% 0.21/0.78 cnf('43', plain, (meet(X,complement(Y)) = complement(join(complement(X),Y))),
% 0.21/0.78 inference(paramodulation,[],['32','1'])).
% 0.21/0.78 cnf('44', plain, (meet(X3,complement(join(X3,Y3))) = complement(top)),
% 0.21/0.78 inference(paramodulation,[],['42','43'])).
% 0.21/0.78 cnf('45', plain, (meet(X,complement(join(X,Y))) = zero),
% 0.21/0.78 inference(simplify,[],['44','25'])).
% 0.21/0.78 cnf('46', plain, (X3 = join(meet(X3,join(X3,Y3)),zero)),
% 0.21/0.78 inference(paramodulation,[],['45','6'])).
% 0.21/0.78 cnf('47', plain, (X = meet(X,join(X,Y))),
% 0.21/0.78 inference(simplify,[],['46','31'])).
% 0.21/0.78 cnf('48', plain, (meet(X,Y) = meet(meet(X,Y),X)),
% 0.21/0.78 inference(paramodulation,[],['6','47'])).
% 0.21/0.78 cnf('49', plain, (join(complement(X),complement(Y)) = complement(meet(X,Y))),
% 0.21/0.78 inference(paramodulation,[],['1','32'])).
% 0.21/0.78 cnf('50', plain, (join(X,Y) = join(join(X,Y),Y)),
% 0.21/0.78 inference(paramodulation,[],['36','28'])).
% 0.21/0.78 cnf('51', plain, (join(X,join(Y,X)) = join(Y,X)),
% 0.21/0.78 inference(paramodulation,[],['50','5'])).
% 0.21/0.78 cnf('52', plain, (X = meet(X,join(Y,X))),
% 0.21/0.78 inference(paramodulation,[],['51','47'])).
% 0.21/0.78 cnf('53', plain, (complement(X3) = meet(complement(X3),complement(meet(Y3,X3)))),
% 0.21/0.78 inference(paramodulation,[],['49','52'])).
% 0.21/0.78 cnf('54', plain, (meet(complement(X),complement(Y)) = complement(join(X,Y))),
% 0.21/0.78 inference(paramodulation,[],['32','43'])).
% 0.21/0.78 cnf('55', plain, (complement(X) = complement(join(X,meet(Y,X)))),
% 0.21/0.78 inference(simplify,[],['53','54'])).
% 0.21/0.78 cnf('56', plain, (join(X3,meet(Y3,X3)) = complement(complement(X3))),
% 0.21/0.78 inference(paramodulation,[],['55','32'])).
% 0.21/0.78 cnf('57', plain, (join(X,meet(Y,X)) = X),
% 0.21/0.78 inference(simplify,[],['56','32'])).
% 0.21/0.78 cnf('58', plain, (join(meet(X,Y),Y) = Y),
% 0.21/0.78 inference(paramodulation,[],['57','5'])).
% 0.21/0.78 cnf('59', plain, (join(meet(X,Y),X) = X),
% 0.21/0.78 inference(paramodulation,[],['48','58'])).
% 0.21/0.78 cnf('60', plain, (composition(join(X,Y),Z) = join(composition(X,Z),composition(Y,Z))),
% 0.21/0.78 inference(cnf_transformation,[],['$inc_composition_distributivity_$sk'])).
% 0.21/0.78 cnf('61', plain, (join(composition(meet($sk3,converse($sk2)),meet($sk2,$sk1)),composition($sk3,meet($sk2,$sk1))) != composition($sk3,meet($sk2,$sk1))),
% 0.21/0.78 inference(cnf_transformation,[],['goals_$sk'])).
% 0.21/0.78 cnf('62', plain, (composition(join(meet($sk3,converse($sk2)),$sk3),meet($sk2,$sk1)) != composition($sk3,meet($sk2,$sk1))),
% 0.21/0.78 inference(paramodulation,[],['60','61'])).
% 0.21/0.78 cnf('63', plain, ($false),
% 0.21/0.78 inference(paramodulation,[],['59','62'])).
% 0.21/0.78
% 0.21/0.78 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.78
% 0.21/0.78 run 15 fork 6 statistics:
% 0.21/0.78 ----------------------------------
% 0.21/0.78 this run seconds: 0.062241
% 0.21/0.78 total seconds: 0.226283
% 0.21/0.78 stat_given_used: 226
% 0.21/0.78 stat_given_used_at_endgame: 0
% 0.21/0.78 stat_given_candidates: 1938
% 0.21/0.78 stat_given_candidates_at_endgame: 0
% 0.21/0.78 stat_given_candidates_h: 0
% 0.21/0.78 stat_binres_derived_cl: 0
% 0.21/0.78 stat_binres_derived_cl_h: 0
% 0.21/0.78 stat_factor_derived_cl: 0
% 0.21/0.78 stat_para_derived_cl: 12782
% 0.21/0.78 stat_tautologies_discarded: 0
% 0.21/0.78 stat_forward_subsumed: 3550
% 0.21/0.78 stat_derived_cut: 0
% 0.21/0.78 stat_derived_rewritten: 45
% 0.21/0.78 stat_weight_discarded_building: 0
% 0.21/0.78 stat_weight_discarded_cl: 723
% 0.21/0.78 stat_internlimit_discarded_cl: 0
% 0.21/0.78 stat_simplified: 45 simplified 0 derived 0 given
% 0.21/0.78 stat_kept_cl: 7612
% 0.21/0.78 stat_built_cl: 8832
% 0.21/0.78 stat_hyperres_partial_cl: 0
% 0.21/0.78 stat_made_rewriters: 218
% 0.21/0.78 stat_backward_subsumed: 0
% 0.21/0.78 stat_propagated_subsumed: 0
% 0.21/0.78 stat_clsubs_attempted: 2713
% 0.21/0.78 stat_clsubs_fact_groundunit_found: 0
% 0.21/0.78 stat_clsubs_rule_groundunit_found: 2
% 0.21/0.78 stat_clsubs_top_meta_attempted: 21289
% 0.21/0.78 stat_clsubs_top_meta_failed: 18576
% 0.21/0.78 stat_clsubs_top_meta_nonpref_attempted: 21289
% 0.21/0.78 stat_clsubs_top_meta_nonpref_succeeded: 7878
% 0.21/0.78 stat_clsubs_top_meta_pref_attempted: 7878
% 0.21/0.78 stat_clsubs_top_meta_pref1_succeeded: 7853
% 0.21/0.78 stat_clsubs_top_meta_pref2_succeeded: 3106
% 0.21/0.78 stat_clsubs_top_meta_pref3_succeeded: 2713
% 0.21/0.78 stat_clsubs_top_meta_pref_succeeded: 2713
% 0.21/0.78 stat_clsubs_meta_attempted: 2713
% 0.21/0.78 stat_clsubs_meta_failed: 84
% 0.21/0.78 stat_clsubs_predsymbs_attempted: 0
% 0.21/0.78 stat_clsubs_unit_attempted: 2713
% 0.21/0.78 stat_clsubs_full_attempted: 0
% 0.21/0.78 stat_forwardsubs_attempted: 11885
% 0.21/0.78 stat_lit_hash_added: 7653
% 0.21/0.78 stat_lit_hash_computed: 19810
% 0.21/0.78 stat_lit_hash_match_found: 3558
% 0.21/0.78 stat_lit_hash_match_miss: 16979
% 0.21/0.78 stat_lit_hash_cut_ok: 0
% 0.21/0.78 stat_lit_strong_cut_ok: 0
% 0.21/0.78 stat_lit_hash_subsume_ok: 3550
% 0.21/0.78 clqueue els 10000000 used 1
% 0.21/0.78 clactive els 10000000 used 227
% 0.21/0.78 clactivesubsume els 10000000 used 1195
% 0.21/0.78 queue_termbuf els 200000000 used 475735
% 0.21/0.78 hyper_termbuf els 100000000 used 1
% 0.21/0.78 active_termbuf els 100000000 used 8197
% 0.21/0.78 varstack els 5000 last used 1
% 0.21/0.78 given_termbuf els 10000000 last used 1
% 0.21/0.78 simplified_termbuf els 10000000 last used 1
% 0.21/0.78 derived_termbuf els 10000000 last used 50
% 0.21/0.78 wr_mallocs: 30954
% 0.21/0.78 wr_callocs: 21
% 0.21/0.78 wr_reallocs: 909
% 0.21/0.78 wr_frees: 2
% 0.21/0.78 wr_malloc_bytes: 4163679716
% 0.21/0.78 wr_calloc_bytes: 112065536
% 0.21/0.78 wr_realloc_bytes: 224240
% 0.21/0.78 wr_realloc_freebytes: 0
% 0.21/0.78 ----------------------------------
%------------------------------------------------------------------------------