TSTP Solution File: SET810+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 : 600s
% DateTime : Tue Jul 19 02:56:07 EDT 2022
% Result : Theorem 0.60s 1.41s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 07:14:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/1.42
% 0.60/1.42 %-----------------------------------------------------
% 0.60/1.42 fof(thV3, conjecture, ! [_57661, _57664] : (member(_57661, on) & member(_57664, on) => ~ (member(_57661, _57664) & member(_57664, _57661))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thV3)).
% 0.60/1.42 fof(subset, axiom, ! [_57948, _57951] : (subset(_57948, _57951) <=> ! [_57969] : (member(_57969, _57948) => member(_57969, _57951))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.60/1.42 fof(ordinal_number, axiom, ! [_58179] : (member(_58179, on) <=> set(_58179) & strict_well_order(member_predicate, _58179) & ! [_58214] : (member(_58214, _58179) => subset(_58214, _58179))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax', ordinal_number)).
% 0.60/1.42 fof(strict_well_order, axiom, ! [_58438, _58441] : (strict_well_order(_58438, _58441) <=> strict_order(_58438, _58441) & ! [_58469] : (subset(_58469, _58441) & ? [_58487] : member(_58487, _58469) => ? [_58505] : least(_58505, _58438, _58469))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax', strict_well_order)).
% 0.60/1.42 fof(rel_member, axiom, ! [_58772, _58775] : (apply(member_predicate, _58772, _58775) <=> member(_58772, _58775)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax', rel_member)).
% 0.60/1.42 fof(strict_order, axiom, ! [_58955, _58958] : (strict_order(_58955, _58958) <=> ! [_58976, _58979] : (member(_58976, _58958) & member(_58979, _58958) => ~ (apply(_58955, _58976, _58979) & apply(_58955, _58979, _58976))) & ! [_58976, _58979, _59039] : (member(_58976, _58958) & member(_58979, _58958) & member(_59039, _58958) => apply(_58955, _58976, _58979) & apply(_58955, _58979, _59039) => apply(_58955, _58976, _59039))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax', strict_order)).
% 0.60/1.42
% 0.60/1.42 cnf(1, plain, [-(member(14 ^ [], on))], clausify(thV3)).
% 0.60/1.42 cnf(2, plain, [-(member(15 ^ [], on))], clausify(thV3)).
% 0.60/1.42 cnf(3, plain, [-(member(14 ^ [], 15 ^ []))], clausify(thV3)).
% 0.60/1.42 cnf(4, plain, [-(member(15 ^ [], 14 ^ []))], clausify(thV3)).
% 0.60/1.42 cnf(5, plain, [-(_13371 = _13371)], theory(equality)).
% 0.60/1.42 cnf(6, plain, [-(strict_order(_17973, _18104)), strict_order(_17906, _18039), _17906 = _17973, _18039 = _18104], theory(equality)).
% 0.60/1.42 cnf(7, plain, [subset(_25225, _25281), member(_25395, _25225), -(member(_25395, _25281))], clausify(subset)).
% 0.60/1.42 cnf(8, plain, [member(_30111, on), -(strict_well_order(member_predicate, _30111))], clausify(ordinal_number)).
% 0.60/1.42 cnf(9, plain, [member(_30111, on), member(_30329, _30111), -(subset(_30329, _30111))], clausify(ordinal_number)).
% 0.60/1.42 cnf(10, plain, [strict_well_order(_30639, _30718), -(strict_order(_30639, _30718))], clausify(strict_well_order)).
% 0.60/1.42 cnf(11, plain, [-(apply(member_predicate, _32278, _32324)), member(_32278, _32324)], clausify(rel_member)).
% 0.60/1.42 cnf(12, plain, [strict_order(_32630, _32761), member(_33029, _32761), member(_32960, _32761), apply(_32630, _32960, _33029), apply(_32630, _33029, _32960)], clausify(strict_order)).
% 0.60/1.42
% 0.60/1.42 cnf('1',plain,[strict_order(member_predicate, 14 ^ []), member(15 ^ [], 14 ^ []), member(15 ^ [], 14 ^ []), apply(member_predicate, 15 ^ [], 15 ^ []), apply(member_predicate, 15 ^ [], 15 ^ [])],start(12,bind([[_32761, _32630, _33029, _32960], [14 ^ [], member_predicate, 15 ^ [], 15 ^ []]]))).
% 0.60/1.42 cnf('1.1',plain,[-(strict_order(member_predicate, 14 ^ [])), strict_order(member_predicate, 14 ^ []), member_predicate = member_predicate, 14 ^ [] = 14 ^ []],extension(6,bind([[_17906, _17973, _18039, _18104], [member_predicate, member_predicate, 14 ^ [], 14 ^ []]]))).
% 0.60/1.42 cnf('1.1.1',plain,[-(strict_order(member_predicate, 14 ^ [])), strict_well_order(member_predicate, 14 ^ [])],extension(10,bind([[_30639, _30718], [member_predicate, 14 ^ []]]))).
% 0.60/1.42 cnf('1.1.1.1',plain,[-(strict_well_order(member_predicate, 14 ^ [])), member(14 ^ [], on)],extension(8,bind([[_30111], [14 ^ []]]))).
% 0.60/1.42 cnf('1.1.1.1.1',plain,[-(member(14 ^ [], on))],extension(1)).
% 0.60/1.42 cnf('1.1.2',plain,[-(member_predicate = member_predicate)],extension(5,bind([[_13371], [member_predicate]]))).
% 0.60/1.42 cnf('1.1.3',plain,[-(14 ^ [] = 14 ^ [])],extension(5,bind([[_13371], [14 ^ []]]))).
% 0.60/1.42 cnf('1.2',plain,[-(member(15 ^ [], 14 ^ []))],extension(4)).
% 0.60/1.42 cnf('1.3',plain,[-(member(15 ^ [], 14 ^ []))],extension(4)).
% 0.60/1.42 cnf('1.4',plain,[-(apply(member_predicate, 15 ^ [], 15 ^ [])), member(15 ^ [], 15 ^ [])],extension(11,bind([[_32278, _32324], [15 ^ [], 15 ^ []]]))).
% 0.60/1.42 cnf('1.4.1',plain,[-(member(15 ^ [], 15 ^ [])), subset(14 ^ [], 15 ^ []), member(15 ^ [], 14 ^ [])],extension(7,bind([[_25281, _25395, _25225], [15 ^ [], 15 ^ [], 14 ^ []]]))).
% 0.60/1.42 cnf('1.4.1.1',plain,[-(subset(14 ^ [], 15 ^ [])), member(15 ^ [], on), member(14 ^ [], 15 ^ [])],extension(9,bind([[_30329, _30111], [14 ^ [], 15 ^ []]]))).
% 0.60/1.42 cnf('1.4.1.1.1',plain,[-(member(15 ^ [], on))],extension(2)).
% 0.60/1.42 cnf('1.4.1.1.2',plain,[-(member(14 ^ [], 15 ^ []))],extension(3)).
% 0.60/1.42 cnf('1.4.1.2',plain,[-(member(15 ^ [], 14 ^ []))],extension(4)).
% 0.60/1.42 cnf('1.5',plain,[-(apply(member_predicate, 15 ^ [], 15 ^ []))],lemmata('1')).
% 0.60/1.42 %-----------------------------------------------------
% 0.60/1.42
% 0.60/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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