TSTP Solution File: REL011+2 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n011.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 13:39:55 EDT 2023
% Result : Theorem 3.68s 0.90s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n011.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 : Fri Aug 25 19:04:23 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: 18
% 0.19/0.39 in_rule_clause_count: 18
% 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: 2
% 0.19/0.39 in_unit_clause_count: 18
% 0.19/0.39 in_horn_clause_count: 18
% 0.19/0.39 in_pos_clause_count: 17
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 17
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 17
% 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: 7
% 0.19/0.39 in_min_size: 5
% 0.19/0.39 in_max_size: 33
% 0.19/0.39 in_min_vars: 0
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 16
% 0.19/0.39 in_axiom_count: 0
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 2
% 0.19/0.39 in_neg_goal_count: 1
% 0.19/0.39 in_pos_goal_count: 1
% 0.19/0.39 in_posunit_goal_count: 1
% 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, "weight_select_ratio":20, "depth_penalty":100},
% 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 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.19/0.39
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% 0.19/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.39 {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.39 {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1}
% 0.19/0.39
% 0.19/0.39 ]}
% 0.19/0.39
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% 0.19/0.39
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% 0.19/0.54
% 0.19/0.54 **** run 14 fork 5 starts with strategy
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% 0.19/0.54
% 0.19/0.54 **** run 12 fork 3 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.54
% 0.19/0.54 **** run 10 fork 1 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.54
% 0.19/0.54 **** run 15 fork 6 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.54
% 0.19/0.54 **** run 11 fork 2 starts with strategy
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% 0.19/0.54 **** run 13 fork 4 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
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% 0.19/0.67 **** run 18 fork 1 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.67
% 0.19/0.67 **** run 22 fork 5 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
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% 0.19/0.69 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
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% 3.08/0.80 **** run 26 fork 1 starts with strategy
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% 3.08/0.83 **** run 30 fork 5 starts with strategy
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% 3.08/0.83
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% 3.08/0.84
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% 3.08/0.84 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 3.08/0.84
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% 3.08/0.84 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 3.68/0.90
% 3.68/0.90
% 3.68/0.90 result: proof found
% 3.68/0.90 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/0.90 by run 11 fork 2 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 3.68/0.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/0.90
% 3.68/0.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/0.90 fof('goals_$sk', plain, (~(meet(composition($sk3,$sk2),$sk1) = zero) & (meet($sk2,composition(converse($sk3),$sk1)) = zero)),
% 3.68/0.90 inference(negpush_and_skolemize,[],['goals'])).
% 3.68/0.90 fof('goals', conjecture, (! [X0,X1,X2] : ((meet(X0,composition(converse(X1),X2)) = zero) => (meet(composition(X1,X0),X2) = zero))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_modular_law_1_$sk', plain, (join(meet(composition(X3,X2),X1),meet(composition(X3,meet(X2,composition(converse(X3),X1))),X1)) = meet(composition(X3,meet(X2,composition(converse(X3),X1))),X1)),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_modular_law_1'])).
% 3.68/0.90 fof('$inc_modular_law_1', axiom, (! [X0,X1,X2] : (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_composition_identity_$sk', plain, (composition(X1,one) = X1),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_composition_identity'])).
% 3.68/0.90 fof('$inc_composition_identity', axiom, (! [X0] : (composition(X0,one) = X0)),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_converse_idempotence_$sk', plain, (converse(converse(X1)) = X1),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_converse_idempotence'])).
% 3.68/0.90 fof('$inc_converse_idempotence', axiom, (! [X0] : (converse(converse(X0)) = X0)),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_converse_multiplicativity_$sk', plain, (converse(composition(X2,X1)) = composition(converse(X1),converse(X2))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_converse_multiplicativity'])).
% 3.68/0.90 fof('$inc_converse_multiplicativity', axiom, (! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0)))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_converse_cancellativity_$sk', plain, (join(composition(converse(X2),complement(composition(X2,X1))),complement(X1)) = complement(X1)),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_converse_cancellativity'])).
% 3.68/0.90 fof('$inc_converse_cancellativity', axiom, (! [X0,X1] : (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_def_top_$sk', plain, (top = join(X1,complement(X1))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_def_top'])).
% 3.68/0.90 fof('$inc_def_top', axiom, (! [X0] : (top = join(X0,complement(X0)))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_maddux2_join_associativity_$sk', plain, (join(X3,join(X1,X2)) = join(join(X3,X1),X2)),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_maddux2_join_associativity'])).
% 3.68/0.90 fof('$inc_maddux2_join_associativity', axiom, (! [X0,X1,X2] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_maddux1_join_commutativity_$sk', plain, (join(X2,X1) = join(X1,X2)),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_maddux1_join_commutativity'])).
% 3.68/0.90 fof('$inc_maddux1_join_commutativity', axiom, (! [X0,X1] : (join(X0,X1) = join(X1,X0))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_converse_additivity_$sk', plain, (converse(join(X2,X1)) = join(converse(X2),converse(X1))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_converse_additivity'])).
% 3.68/0.90 fof('$inc_converse_additivity', axiom, (! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1)))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_composition_distributivity_$sk', plain, (composition(join(X3,X2),X1) = join(composition(X3,X1),composition(X2,X1))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_composition_distributivity'])).
% 3.68/0.90 fof('$inc_composition_distributivity', axiom, (! [X0,X1,X2] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_maddux4_definiton_of_meet_$sk', plain, (meet(X2,X1) = complement(join(complement(X2),complement(X1)))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_maddux4_definiton_of_meet'])).
% 3.68/0.90 fof('$inc_maddux4_definiton_of_meet', axiom, (! [X0,X1] : (meet(X0,X1) = complement(join(complement(X0),complement(X1))))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_def_zero_$sk', plain, (zero = meet(X1,complement(X1))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_def_zero'])).
% 3.68/0.90 fof('$inc_def_zero', axiom, (! [X0] : (zero = meet(X0,complement(X0)))),
% 3.68/0.90 input).
% 3.68/0.90 fof('$inc_maddux3_a_kind_of_de_Morgan_$sk', plain, (X2 = join(complement(join(complement(X2),complement(X1))),complement(join(complement(X2),X1)))),
% 3.68/0.90 inference(negpush_and_skolemize,[],['$inc_maddux3_a_kind_of_de_Morgan'])).
% 3.68/0.90 fof('$inc_maddux3_a_kind_of_de_Morgan', axiom, (! [X0,X1] : (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 3.68/0.90 input).
% 3.68/0.90 cnf('1', plain, (meet($sk2,composition(converse($sk3),$sk1)) = zero),
% 3.68/0.90 inference(cnf_transformation,[],['goals_$sk'])).
% 3.68/0.90 cnf('2', plain, (join(meet(composition(X,Y),Z),meet(composition(X,meet(Y,composition(converse(X),Z))),Z)) = meet(composition(X,meet(Y,composition(converse(X),Z))),Z)),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_modular_law_1_$sk'])).
% 3.68/0.90 cnf('3', plain, (join(meet(composition($sk3,$sk2),$sk1),meet(composition($sk3,zero),$sk1)) = meet(composition($sk3,meet($sk2,composition(converse($sk3),$sk1))),$sk1)),
% 3.68/0.90 inference(paramodulation,[],['1','2'])).
% 3.68/0.90 cnf('4', plain, (meet(composition($sk3,$sk2),$sk1) != zero),
% 3.68/0.90 inference(cnf_transformation,[],['goals_$sk'])).
% 3.68/0.90 cnf('5', plain, (composition(X,one) = X),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_composition_identity_$sk'])).
% 3.68/0.90 cnf('6', plain, (converse(converse(X)) = X),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_converse_idempotence_$sk'])).
% 3.68/0.90 cnf('7', plain, (converse(composition(X,Y)) = composition(converse(Y),converse(X))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_converse_multiplicativity_$sk'])).
% 3.68/0.90 cnf('8', plain, (converse(composition(converse(X),Y)) = composition(converse(Y),X)),
% 3.68/0.90 inference(paramodulation,[],['6','7'])).
% 3.68/0.90 cnf('9', plain, (converse(converse(X3)) = composition(converse(one),X3)),
% 3.68/0.90 inference(paramodulation,[],['5','8'])).
% 3.68/0.90 cnf('10', plain, (X = composition(converse(one),X)),
% 3.68/0.90 inference(simplify,[],['9','6'])).
% 3.68/0.90 cnf('11', plain, (join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y)),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_converse_cancellativity_$sk'])).
% 3.68/0.90 cnf('12', plain, (join(complement(composition(one,X3)),complement(X3)) = complement(X3)),
% 3.68/0.90 inference(paramodulation,[],['10','11'])).
% 3.68/0.90 cnf('13', plain, (one = converse(one)),
% 3.68/0.90 inference(paramodulation,[],['10','5'])).
% 3.68/0.90 cnf('14', plain, (X = composition(one,X)),
% 3.68/0.90 inference(paramodulation,[],['13','10'])).
% 3.68/0.90 cnf('15', plain, (join(complement(X),complement(X)) = complement(X)),
% 3.68/0.90 inference(simplify,[],['12','14'])).
% 3.68/0.90 cnf('16', plain, (top = join(X,complement(X))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_def_top_$sk'])).
% 3.68/0.90 cnf('17', plain, (join(X,join(Y,Z)) = join(join(X,Y),Z)),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_maddux2_join_associativity_$sk'])).
% 3.68/0.90 cnf('18', plain, (join(X,join(complement(X),Y)) = join(top,Y)),
% 3.68/0.90 inference(paramodulation,[],['16','17'])).
% 3.68/0.90 cnf('19', plain, (join(X,Y) = join(Y,X)),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_maddux1_join_commutativity_$sk'])).
% 3.68/0.90 cnf('20', plain, (join(join(complement(X),Y),X) = join(top,Y)),
% 3.68/0.90 inference(paramodulation,[],['18','19'])).
% 3.68/0.90 cnf('21', plain, (join(complement(X3),X3) = join(top,complement(X3))),
% 3.68/0.90 inference(paramodulation,[],['15','20'])).
% 3.68/0.90 cnf('22', plain, (top = join(complement(X),X)),
% 3.68/0.90 inference(paramodulation,[],['16','19'])).
% 3.68/0.90 cnf('23', plain, (top = join(top,complement(X))),
% 3.68/0.90 inference(simplify,[],['21','22'])).
% 3.68/0.90 cnf('24', plain, (join(X,join(Y,complement(join(X,Y)))) = top),
% 3.68/0.90 inference(paramodulation,[],['16','17'])).
% 3.68/0.90 cnf('25', plain, (join(join(X,complement(join(Y,X))),Y) = top),
% 3.68/0.90 inference(paramodulation,[],['24','19'])).
% 3.68/0.90 cnf('26', plain, (join(top,X) = top),
% 3.68/0.90 inference(paramodulation,[],['23','25'])).
% 3.68/0.90 cnf('27', plain, (converse(join(X,Y)) = join(converse(X),converse(Y))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_converse_additivity_$sk'])).
% 3.68/0.90 cnf('28', plain, (converse(join(converse(X),Y)) = join(X,converse(Y))),
% 3.68/0.90 inference(paramodulation,[],['6','27'])).
% 3.68/0.90 cnf('29', plain, (converse(top) = join(X,converse(complement(converse(X))))),
% 3.68/0.90 inference(paramodulation,[],['16','28'])).
% 3.68/0.90 cnf('30', plain, (converse(top) = top),
% 3.68/0.90 inference(paramodulation,[],['26','29'])).
% 3.68/0.90 cnf('31', plain, (converse(composition(top,X)) = composition(converse(X),top)),
% 3.68/0.90 inference(paramodulation,[],['30','8'])).
% 3.68/0.90 cnf('32', plain, (converse(join(one,X)) = join(one,converse(X))),
% 3.68/0.90 inference(paramodulation,[],['13','28'])).
% 3.68/0.90 cnf('33', plain, (composition(join(X,Y),Z) = join(composition(X,Z),composition(Y,Z))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_composition_distributivity_$sk'])).
% 3.68/0.90 cnf('34', plain, (composition(join(one,X),Y) = join(Y,composition(X,Y))),
% 3.68/0.90 inference(paramodulation,[],['14','33'])).
% 3.68/0.90 cnf('35', plain, (composition(join(one,X),top) = top),
% 3.68/0.90 inference(paramodulation,[],['26','34'])).
% 3.68/0.90 cnf('36', plain, (composition(converse(join(one,X)),top) = top),
% 3.68/0.90 inference(paramodulation,[],['32','35'])).
% 3.68/0.90 cnf('37', plain, (converse(composition(top,join(one,X))) = top),
% 3.68/0.90 inference(paramodulation,[],['31','36'])).
% 3.68/0.90 cnf('38', plain, (meet(X,Y) = complement(join(complement(X),complement(Y)))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_maddux4_definiton_of_meet_$sk'])).
% 3.68/0.90 cnf('39', plain, (meet(X3,complement(X3)) = complement(top)),
% 3.68/0.90 inference(paramodulation,[],['16','38'])).
% 3.68/0.90 cnf('40', plain, (zero = meet(X,complement(X))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_def_zero_$sk'])).
% 3.68/0.90 cnf('41', plain, (zero = complement(top)),
% 3.68/0.90 inference(simplify,[],['39','40'])).
% 3.68/0.90 cnf('42', plain, (join(composition(converse(X3),complement(composition(X3,top))),zero) = complement(top)),
% 3.68/0.90 inference(paramodulation,[],['41','11'])).
% 3.68/0.90 cnf('43', plain, (meet(X,X) = complement(complement(X))),
% 3.68/0.90 inference(paramodulation,[],['15','38'])).
% 3.68/0.90 cnf('44', plain, (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))),
% 3.68/0.90 inference(cnf_transformation,[],['$inc_maddux3_a_kind_of_de_Morgan_$sk'])).
% 3.68/0.90 cnf('45', plain, (X = join(meet(X,Y),complement(join(complement(X),Y)))),
% 3.68/0.90 inference(simplify,[],['44','38'])).
% 3.68/0.90 cnf('46', plain, (X = join(meet(X,complement(Y)),meet(X,Y))),
% 3.68/0.90 inference(paramodulation,[],['38','45'])).
% 3.68/0.90 cnf('47', plain, (X = join(zero,meet(X,X))),
% 3.68/0.90 inference(paramodulation,[],['40','46'])).
% 3.68/0.90 cnf('48', plain, (X = join(meet(X,X),zero)),
% 3.68/0.90 inference(paramodulation,[],['47','19'])).
% 3.68/0.90 cnf('49', plain, (X = join(complement(complement(X)),zero)),
% 3.68/0.90 inference(paramodulation,[],['43','48'])).
% 3.68/0.90 cnf('50', plain, (meet(X,top) = complement(join(complement(X),zero))),
% 3.68/0.90 inference(paramodulation,[],['41','38'])).
% 3.68/0.90 cnf('51', plain, (meet(complement(X),top) = complement(X)),
% 3.68/0.90 inference(paramodulation,[],['49','50'])).
% 3.68/0.90 cnf('52', plain, (join(X,top) = top),
% 3.68/0.90 inference(paramodulation,[],['23','24'])).
% 3.68/0.90 cnf('53', plain, (X3 = join(meet(X3,top),complement(top))),
% 3.68/0.90 inference(paramodulation,[],['52','45'])).
% 3.68/0.90 cnf('54', plain, (X = join(meet(X,top),zero)),
% 3.68/0.90 inference(simplify,[],['53','41'])).
% 3.68/0.90 cnf('55', plain, (complement(X) = join(complement(X),zero)),
% 3.68/0.90 inference(paramodulation,[],['51','54'])).
% 3.68/0.90 cnf('56', plain, (X = complement(complement(X))),
% 3.68/0.90 inference(paramodulation,[],['55','49'])).
% 3.68/0.90 cnf('57', plain, (X = join(X,zero)),
% 3.68/0.90 inference(paramodulation,[],['56','49'])).
% 3.68/0.90 cnf('58', plain, (composition(converse(X),complement(composition(X,top))) = zero),
% 3.68/0.90 inference(simplify,[then_simplify],['42','57','41'])).
% 3.68/0.90 cnf('59', plain, (composition(X3,complement(composition(converse(X3),top))) = zero),
% 3.68/0.90 inference(paramodulation,[],['6','58'])).
% 3.68/0.90 cnf('60', plain, (composition(X,complement(converse(composition(top,X)))) = zero),
% 3.68/0.90 inference(simplify,[],['59','31'])).
% 3.68/0.90 cnf('61', plain, (composition(join(one,X3),complement(top)) = zero),
% 3.68/0.90 inference(paramodulation,[],['37','60'])).
% 3.68/0.90 cnf('62', plain, (X = join(zero,complement(complement(X)))),
% 3.68/0.90 inference(paramodulation,[],['43','47'])).
% 3.68/0.90 cnf('63', plain, (X = join(zero,X)),
% 3.68/0.90 inference(paramodulation,[],['56','62'])).
% 3.68/0.90 cnf('64', plain, (composition(join(one,X),zero) = composition(X,zero)),
% 3.68/0.90 inference(paramodulation,[],['63','34'])).
% 3.68/0.90 cnf('65', plain, (composition(X,zero) = zero),
% 3.68/0.90 inference(simplify,[then_simplify],['61','41','64'])).
% 3.68/0.90 cnf('66', plain, (top = complement(zero)),
% 3.68/0.90 inference(paramodulation,[],['55','22'])).
% 3.68/0.90 cnf('67', plain, (meet(zero,X3) = complement(join(top,complement(X3)))),
% 3.68/0.90 inference(paramodulation,[],['66','38'])).
% 3.68/0.90 cnf('68', plain, (meet(zero,X) = zero),
% 3.68/0.90 inference(simplify,[then_simplify],['67','26','41'])).
% 3.68/0.90 cnf('69', plain, ($false),
% 3.68/0.90 inference(simplify,[then_simplify],['3','4','65','68','57','1','65','68'])).
% 3.68/0.90
% 3.68/0.90 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/0.90
% 3.68/0.90 run 11 fork 2 statistics:
% 3.68/0.90 ----------------------------------
% 3.68/0.90 this run seconds: 0.097055
% 3.68/0.90 total seconds: 0.262891
% 3.68/0.90 stat_given_used: 307
% 3.68/0.90 stat_given_used_at_endgame: 235
% 3.68/0.90 stat_given_candidates: 2256
% 3.68/0.90 stat_given_candidates_at_endgame: 1974
% 3.68/0.90 stat_given_candidates_h: 0
% 3.68/0.90 stat_binres_derived_cl: 0
% 3.68/0.90 stat_binres_derived_cl_h: 0
% 3.68/0.90 stat_factor_derived_cl: 0
% 3.68/0.90 stat_para_derived_cl: 15486
% 3.68/0.90 stat_tautologies_discarded: 0
% 3.68/0.90 stat_forward_subsumed: 1445
% 3.68/0.90 stat_derived_cut: 1
% 3.68/0.90 stat_derived_rewritten: 120
% 3.68/0.90 stat_weight_discarded_building: 0
% 3.68/0.90 stat_weight_discarded_cl: 5426
% 3.68/0.90 stat_internlimit_discarded_cl: 0
% 3.68/0.90 stat_simplified: 120 simplified 0 derived 0 given
% 3.68/0.90 stat_kept_cl: 7878
% 3.68/0.90 stat_built_cl: 14037
% 3.68/0.90 stat_hyperres_partial_cl: 0
% 3.68/0.90 stat_made_rewriters: 224
% 3.68/0.90 stat_backward_subsumed: 0
% 3.68/0.90 stat_propagated_subsumed: 0
% 3.68/0.90 stat_clsubs_attempted: 3167
% 3.68/0.90 stat_clsubs_fact_groundunit_found: 0
% 3.68/0.90 stat_clsubs_rule_groundunit_found: 1
% 3.68/0.90 stat_clsubs_top_meta_attempted: 24262
% 3.68/0.90 stat_clsubs_top_meta_failed: 21095
% 3.68/0.90 stat_clsubs_top_meta_nonpref_attempted: 24262
% 3.68/0.90 stat_clsubs_top_meta_nonpref_succeeded: 9431
% 3.68/0.90 stat_clsubs_top_meta_pref_attempted: 9431
% 3.68/0.90 stat_clsubs_top_meta_pref1_succeeded: 9431
% 3.68/0.90 stat_clsubs_top_meta_pref2_succeeded: 3839
% 3.68/0.90 stat_clsubs_top_meta_pref3_succeeded: 3167
% 3.68/0.90 stat_clsubs_top_meta_pref_succeeded: 3167
% 3.68/0.90 stat_clsubs_meta_attempted: 3167
% 3.68/0.90 stat_clsubs_meta_failed: 65
% 3.68/0.90 stat_clsubs_predsymbs_attempted: 0
% 3.68/0.90 stat_clsubs_unit_attempted: 3167
% 3.68/0.90 stat_clsubs_full_attempted: 0
% 3.68/0.90 stat_forwardsubs_attempted: 14749
% 3.68/0.90 stat_lit_hash_added: 7930
% 3.68/0.90 stat_lit_hash_computed: 23066
% 3.68/0.90 stat_lit_hash_match_found: 1456
% 3.68/0.90 stat_lit_hash_match_miss: 27104
% 3.68/0.90 stat_lit_hash_cut_ok: 1
% 3.68/0.90 stat_lit_strong_cut_ok: 0
% 3.68/0.90 stat_lit_hash_subsume_ok: 1445
% 3.68/0.90 clqueue els 10000000 used 1
% 3.68/0.90 clactive els 10000000 used 308
% 3.68/0.90 clactivesubsume els 10000000 used 1639
% 3.68/0.90 queue_termbuf els 200000000 used 585817
% 3.68/0.90 hyper_termbuf els 100000000 used 1
% 3.68/0.90 active_termbuf els 100000000 used 15287
% 3.68/0.90 varstack els 5000 last used 1
% 3.68/0.90 given_termbuf els 10000000 last used 1
% 3.68/0.90 simplified_termbuf els 10000000 last used 1
% 3.68/0.90 derived_termbuf els 10000000 last used 3
% 3.68/0.90 wr_mallocs: 32624
% 3.68/0.90 wr_callocs: 21
% 3.68/0.90 wr_reallocs: 1056
% 3.68/0.90 wr_frees: 2
% 3.68/0.90 wr_malloc_bytes: 4163736356
% 3.68/0.90 wr_calloc_bytes: 112065536
% 3.68/0.90 wr_realloc_bytes: 234728
% 3.68/0.90 wr_realloc_freebytes: 0
% 3.68/0.90 ----------------------------------
%------------------------------------------------------------------------------