TSTP Solution File: SET722+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET722+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:55:35 EDT 2022
% Result : Theorem 232.40s 224.04s
% Output : Proof 232.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET722+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n026.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 : 600
% 0.13/0.35 % DateTime : Sun Jul 10 05:19:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 232.40/224.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 232.40/224.05 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 232.47/224.06
% 232.47/224.06 %-----------------------------------------------------
% 232.47/224.06 fof(compose_function, axiom, ! [_121369, _121372, _121375, _121378, _121381, _121384, _121387] : (member(_121384, _121375) & member(_121387, _121381) => (apply(compose_function(_121369, _121372, _121375, _121378, _121381), _121384, _121387) <=> ? [_121444] : (member(_121444, _121378) & apply(_121372, _121384, _121444) & apply(_121369, _121444, _121387)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', compose_function)).
% 232.47/224.06 fof(surjective, axiom, ! [_121770, _121773, _121776] : (surjective(_121770, _121773, _121776) <=> ! [_121797] : (member(_121797, _121776) => ? [_121815] : (member(_121815, _121773) & apply(_121770, _121815, _121797)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', surjective)).
% 232.47/224.06 fof(thII13, conjecture, ! [_122129, _122132, _122135, _122138, _122141] : (maps(_122129, _122135, _122138) & maps(_122132, _122138, _122141) & surjective(compose_function(_122132, _122129, _122135, _122138, _122141), _122135, _122141) => surjective(_122132, _122138, _122141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thII13)).
% 232.47/224.06
% 232.47/224.06 cnf(1, plain, [-(32 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856]), apply(compose_function(_22856, _22964, _23071, _23177, _23282), _23386, _23489), 31 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856]], clausify(compose_function)).
% 232.47/224.06 cnf(2, plain, [-(46 ^ [_27915, _27842, _27768]), -(member(45 ^ [_27915, _27842, _27768], _27915))], clausify(surjective)).
% 232.47/224.06 cnf(3, plain, [-(31 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856]), -(apply(_22856, 30 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856], _23489))], clausify(compose_function)).
% 232.47/224.06 cnf(4, plain, [-(44 ^ [_28086, _27915, _27842, _27768]), -(apply(_27768, 43 ^ [_28086, _27915, _27842, _27768], _28086))], clausify(surjective)).
% 232.47/224.06 cnf(5, plain, [-(surjective(compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 84 ^ [], 86 ^ []))], clausify(thII13)).
% 232.47/224.06 cnf(6, plain, [-(31 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856]), -(member(30 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856], _23177))], clausify(compose_function)).
% 232.47/224.06 cnf(7, plain, [surjective(83 ^ [], 85 ^ [], 86 ^ [])], clausify(thII13)).
% 232.47/224.06 cnf(8, plain, [-(44 ^ [_28086, _27915, _27842, _27768]), -(member(43 ^ [_28086, _27915, _27842, _27768], _27842))], clausify(surjective)).
% 232.47/224.06 cnf(9, plain, [-(46 ^ [_27915, _27842, _27768]), member(_46731, _27842), apply(_27768, _46731, 45 ^ [_27915, _27842, _27768])], clausify(surjective)).
% 232.47/224.06 cnf(10, plain, [member(_23489, _23282), member(_23386, _23071), 32 ^ [_23489, _23386, _23282, _23177, _23071, _22964, _22856]], clausify(compose_function)).
% 232.47/224.06 cnf(11, plain, [surjective(_27768, _27842, _27915), member(_28086, _27915), 44 ^ [_28086, _27915, _27842, _27768]], clausify(surjective)).
% 232.47/224.06 cnf(12, plain, [-(surjective(_27768, _27842, _27915)), 46 ^ [_27915, _27842, _27768]], clausify(surjective)).
% 232.47/224.06
% 232.47/224.06 cnf('1',plain,[-(surjective(compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 84 ^ [], 86 ^ []))],start(5)).
% 232.47/224.06 cnf('1.1',plain,[surjective(compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 84 ^ [], 86 ^ []), member(45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ []), 44 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])]],extension(11,bind([[_28086, _27915, _27842, _27768], [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])]]))).
% 232.47/224.06 cnf('1.1.1',plain,[-(member(45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [])), -(46 ^ [86 ^ [], 85 ^ [], 83 ^ []])],extension(2,bind([[_27915, _27842, _27768], [86 ^ [], 85 ^ [], 83 ^ []]]))).
% 232.47/224.06 cnf('1.1.1.1',plain,[46 ^ [86 ^ [], 85 ^ [], 83 ^ []], -(surjective(83 ^ [], 85 ^ [], 86 ^ []))],extension(12,bind([[_27768, _27842, _27915], [83 ^ [], 85 ^ [], 86 ^ []]]))).
% 232.47/224.06 cnf('1.1.1.1.1',plain,[surjective(83 ^ [], 85 ^ [], 86 ^ [])],extension(7)).
% 232.47/224.06 cnf('1.1.2',plain,[-(44 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])]), -(apply(compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]))],extension(4,bind([[_27915, _27842, _27768, _28086], [86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]]]))).
% 232.47/224.06 cnf('1.1.2.1',plain,[apply(compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ []), 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]), -(32 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]), 31 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]],extension(1,bind([[_23489, _23386, _23282, _23177, _23071, _22964, _22856], [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]]))).
% 232.47/224.06 cnf('1.1.2.1.1',plain,[32 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], member(45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ []), member(43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 84 ^ [])],extension(10,bind([[_23177, _22964, _22856, _23489, _23282, _23386, _23071], [85 ^ [], 82 ^ [], 83 ^ [], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 84 ^ []]]))).
% 232.47/224.06 cnf('1.1.2.1.1.1',plain,[-(member(45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ []))],lemmata('1.1')).
% 232.47/224.06 cnf('1.1.2.1.1.2',plain,[-(member(43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 84 ^ [])), -(44 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])])],extension(8,bind([[_28086, _27915, _27842, _27768], [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])]]))).
% 232.47/224.06 cnf('1.1.2.1.1.2.1',plain,[44 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])]],reduction('1.1')).
% 232.47/224.06 cnf('1.1.2.1.2',plain,[-(31 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]), -(apply(83 ^ [], 30 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]))],extension(3,bind([[_23386, _23282, _23177, _23071, _22964, _22856, _23489], [43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ [], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]]]))).
% 232.47/224.06 cnf('1.1.2.1.2.1',plain,[apply(83 ^ [], 30 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], 45 ^ [86 ^ [], 85 ^ [], 83 ^ []]), -(46 ^ [86 ^ [], 85 ^ [], 83 ^ []]), member(30 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], 85 ^ [])],extension(9,bind([[_27915, _27768, _46731, _27842], [86 ^ [], 83 ^ [], 30 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], 85 ^ []]]))).
% 232.47/224.06 cnf('1.1.2.1.2.1.1',plain,[46 ^ [86 ^ [], 85 ^ [], 83 ^ []], -(surjective(83 ^ [], 85 ^ [], 86 ^ []))],extension(12,bind([[_27768, _27842, _27915], [83 ^ [], 85 ^ [], 86 ^ []]]))).
% 232.47/224.06 cnf('1.1.2.1.2.1.1.1',plain,[surjective(83 ^ [], 85 ^ [], 86 ^ [])],extension(7)).
% 232.47/224.06 cnf('1.1.2.1.2.1.2',plain,[-(member(30 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []], 85 ^ [])), -(31 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []])],extension(6,bind([[_23489, _23386, _23282, _23177, _23071, _22964, _22856], [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]]))).
% 232.47/224.06 cnf('1.1.2.1.2.1.2.1',plain,[31 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 43 ^ [45 ^ [86 ^ [], 85 ^ [], 83 ^ []], 86 ^ [], 84 ^ [], compose_function(83 ^ [], 82 ^ [], 84 ^ [], 85 ^ [], 86 ^ [])], 86 ^ [], 85 ^ [], 84 ^ [], 82 ^ [], 83 ^ []]],reduction('1.1.2.1')).
% 232.47/224.06 %-----------------------------------------------------
% 232.47/224.06
% 232.47/224.06 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------