TSTP Solution File: SET731+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 02:55:38 EDT 2022
% Result : Theorem 85.08s 82.22s
% Output : Proof 85.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 22:30:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 85.08/82.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 85.08/82.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 85.08/82.23
% 85.08/82.23 %-----------------------------------------------------
% 85.08/82.23 fof(thII22, conjecture, ! [_126377, _126380, _126383, _126386, _126389] : (maps(_126377, _126383, _126386) & subset(_126389, _126386) & image2(_126377, _126383) = _126389 & ! [_126433, _126436] : (member(_126433, _126383) & member(_126436, _126389) => (apply(_126380, _126433, _126436) <=> apply(_126377, _126433, _126436))) => surjective(_126380, _126383, _126389)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thII22)).
% 85.08/82.23 fof(surjective, axiom, ! [_126972, _126975, _126978] : (surjective(_126972, _126975, _126978) <=> ! [_126999] : (member(_126999, _126978) => ? [_127017] : (member(_127017, _126975) & apply(_126972, _127017, _126999)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', surjective)).
% 85.08/82.23 fof(image2, axiom, ! [_127282, _127285, _127288] : (member(_127288, image2(_127282, _127285)) <=> ? [_127313] : (member(_127313, _127285) & apply(_127282, _127313, _127288))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', image2)).
% 85.08/82.23
% 85.08/82.23 cnf(1, plain, [surjective(42 ^ [], 43 ^ [], 45 ^ [])], clausify(thII22)).
% 85.08/82.23 cnf(2, plain, [-(image2(41 ^ [], 43 ^ []) = 45 ^ [])], clausify(thII22)).
% 85.08/82.23 cnf(3, plain, [member(_96044, 45 ^ []), member(_96039, 43 ^ []), -(apply(42 ^ [], _96039, _96044)), apply(41 ^ [], _96039, _96044)], clausify(thII22)).
% 85.08/82.23 cnf(4, plain, [-(_24454 = _24454)], theory(equality)).
% 85.08/82.23 cnf(5, plain, [_24607 = _24652, -(_24652 = _24607)], theory(equality)).
% 85.08/82.23 cnf(6, plain, [-(member(_41469, _41600)), member(_41402, _41535), _41402 = _41469, _41535 = _41600], theory(equality)).
% 85.08/82.23 cnf(7, plain, [-(surjective(_68775, _68849, _68922)), -(member(22 ^ [_68922, _68849, _68775], _68922))], clausify(surjective)).
% 85.08/82.23 cnf(8, plain, [-(surjective(_68775, _68849, _68922)), member(_91459, _68849), apply(_68775, _91459, 22 ^ [_68922, _68849, _68775])], clausify(surjective)).
% 85.08/82.23 cnf(9, plain, [member(_72360, image2(_72231, _72296)), -(member(25 ^ [_72360, _72296, _72231], _72296))], clausify(image2)).
% 85.08/82.23 cnf(10, plain, [member(_72360, image2(_72231, _72296)), -(apply(_72231, 25 ^ [_72360, _72296, _72231], _72360))], clausify(image2)).
% 85.08/82.23
% 85.08/82.23 cnf('1',plain,[surjective(42 ^ [], 43 ^ [], 45 ^ [])],start(1)).
% 85.08/82.23 cnf('1.1',plain,[-(surjective(42 ^ [], 43 ^ [], 45 ^ [])), -(member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []))],extension(7,bind([[_68849, _68775, _68922], [43 ^ [], 42 ^ [], 45 ^ []]]))).
% 85.08/82.23 cnf('1.1.1',plain,[member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []), member(25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 43 ^ []), -(apply(42 ^ [], 25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []])), apply(41 ^ [], 25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []])],extension(3,bind([[_96039, _96044], [25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 85.08/82.23 cnf('1.1.1.1',plain,[-(member(25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 43 ^ [])), member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], image2(41 ^ [], 43 ^ []))],extension(9,bind([[_72360, _72231, _72296], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 41 ^ [], 43 ^ []]]))).
% 85.08/82.23 cnf('1.1.1.1.1',plain,[-(member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], image2(41 ^ [], 43 ^ []))), member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []), 22 ^ [45 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [] = image2(41 ^ [], 43 ^ [])],extension(6,bind([[_41402, _41469, _41535, _41600], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], image2(41 ^ [], 43 ^ [])]]))).
% 85.08/82.23 cnf('1.1.1.1.1.1',plain,[-(member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []))],reduction('1.1')).
% 85.08/82.23 cnf('1.1.1.1.1.2',plain,[-(22 ^ [45 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [45 ^ [], 43 ^ [], 42 ^ []])],extension(4,bind([[_24454], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 85.08/82.23 cnf('1.1.1.1.1.3',plain,[-(45 ^ [] = image2(41 ^ [], 43 ^ [])), image2(41 ^ [], 43 ^ []) = 45 ^ []],extension(5,bind([[_24607, _24652], [image2(41 ^ [], 43 ^ []), 45 ^ []]]))).
% 85.08/82.23 cnf('1.1.1.1.1.3.1',plain,[-(image2(41 ^ [], 43 ^ []) = 45 ^ [])],extension(2)).
% 85.08/82.23 cnf('1.1.1.2',plain,[apply(42 ^ [], 25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []]), -(surjective(42 ^ [], 43 ^ [], 45 ^ [])), member(25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 43 ^ [])],extension(8,bind([[_68775, _68922, _91459, _68849], [42 ^ [], 45 ^ [], 25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 43 ^ []]]))).
% 85.08/82.23 cnf('1.1.1.2.1',plain,[surjective(42 ^ [], 43 ^ [], 45 ^ [])],extension(1)).
% 85.08/82.23 cnf('1.1.1.2.2',plain,[-(member(25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 43 ^ []))],lemmata('1.1.1')).
% 85.08/82.23 cnf('1.1.1.3',plain,[-(apply(41 ^ [], 25 ^ [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 43 ^ [], 41 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []])), member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], image2(41 ^ [], 43 ^ []))],extension(10,bind([[_72360, _72231, _72296], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 41 ^ [], 43 ^ []]]))).
% 85.08/82.23 cnf('1.1.1.3.1',plain,[-(member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], image2(41 ^ [], 43 ^ []))), member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []), 22 ^ [45 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [] = image2(41 ^ [], 43 ^ [])],extension(6,bind([[_41402, _41469, _41535, _41600], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], image2(41 ^ [], 43 ^ [])]]))).
% 85.08/82.23 cnf('1.1.1.3.1.1',plain,[-(member(22 ^ [45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []))],reduction('1.1')).
% 85.08/82.23 cnf('1.1.1.3.1.2',plain,[-(22 ^ [45 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [45 ^ [], 43 ^ [], 42 ^ []])],extension(4,bind([[_24454], [22 ^ [45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 85.08/82.23 cnf('1.1.1.3.1.3',plain,[-(45 ^ [] = image2(41 ^ [], 43 ^ [])), image2(41 ^ [], 43 ^ []) = 45 ^ []],extension(5,bind([[_24607, _24652], [image2(41 ^ [], 43 ^ []), 45 ^ []]]))).
% 85.08/82.23 cnf('1.1.1.3.1.3.1',plain,[-(image2(41 ^ [], 43 ^ []) = 45 ^ [])],extension(2)).
% 85.08/82.23 %-----------------------------------------------------
% 85.08/82.23
% 85.08/82.23 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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