TSTP Solution File: SET715+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET715+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 02:55:32 EDT 2022
% Result : Theorem 3.75s 4.49s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET715+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 01:24:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.75/4.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.75/4.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.75/4.51
% 3.75/4.51 %-----------------------------------------------------
% 3.75/4.51 fof(thII06, conjecture, ! [_126012, _126015, _126018] : (maps(_126012, _126015, _126018) & one_to_one(_126012, _126015, _126018) => identity(compose_function(_126012, inverse_function(_126012, _126015, _126018), _126018, _126015, _126018), _126018)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thII06)).
% 3.75/4.51 fof(compose_function, axiom, ! [_126393, _126396, _126399, _126402, _126405, _126408, _126411] : (member(_126408, _126399) & member(_126411, _126405) => (apply(compose_function(_126393, _126396, _126399, _126402, _126405), _126408, _126411) <=> ? [_126468] : (member(_126468, _126402) & apply(_126396, _126408, _126468) & apply(_126393, _126468, _126411)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', compose_function)).
% 3.75/4.51 fof(identity, axiom, ! [_126801, _126804] : (identity(_126801, _126804) <=> ! [_126822] : (member(_126822, _126804) => apply(_126801, _126822, _126822))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', identity)).
% 3.75/4.51 fof(surjective, axiom, ! [_127032, _127035, _127038] : (surjective(_127032, _127035, _127038) <=> ! [_127059] : (member(_127059, _127038) => ? [_127077] : (member(_127077, _127035) & apply(_127032, _127077, _127059)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', surjective)).
% 3.75/4.51 fof(one_to_one, axiom, ! [_127334, _127337, _127340] : (one_to_one(_127334, _127337, _127340) <=> injective(_127334, _127337, _127340) & surjective(_127334, _127337, _127340)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', one_to_one)).
% 3.75/4.51 fof(inverse_function, axiom, ! [_127547, _127550, _127553, _127556, _127559] : (member(_127556, _127550) & member(_127559, _127553) => (apply(_127547, _127556, _127559) <=> apply(inverse_function(_127547, _127550, _127553), _127559, _127556))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', inverse_function)).
% 3.75/4.51
% 3.75/4.51 cnf(1, plain, [-(one_to_one(41 ^ [], 42 ^ [], 43 ^ []))], clausify(thII06)).
% 3.75/4.51 cnf(2, plain, [identity(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ [])], clausify(thII06)).
% 3.75/4.51 cnf(3, plain, [-(_23962 = _23962)], theory(equality)).
% 3.75/4.51 cnf(4, plain, [-(surjective(_43258, _43425, _43588)), surjective(_43173, _43342, _43507), _43173 = _43258, _43342 = _43425, _43507 = _43588], theory(equality)).
% 3.75/4.51 cnf(5, plain, [member(_64004, _63797), member(_63901, _63586), -(apply(compose_function(_63371, _63479, _63586, _63692, _63797), _63901, _64004)), member(_64496, _63692), apply(_63479, _63901, _64496), apply(_63371, _64496, _64004)], clausify(compose_function)).
% 3.75/4.51 cnf(6, plain, [-(identity(_66488, _66545)), -(member(17 ^ [_66545, _66488], _66545))], clausify(identity)).
% 3.75/4.51 cnf(7, plain, [-(identity(_66488, _66545)), apply(_66488, 17 ^ [_66545, _66488], 17 ^ [_66545, _66488])], clausify(identity)).
% 3.75/4.51 cnf(8, plain, [surjective(_68283, _68357, _68430), member(_68601, _68430), -(member(21 ^ [_68601, _68430, _68357, _68283], _68357))], clausify(surjective)).
% 3.75/4.51 cnf(9, plain, [surjective(_68283, _68357, _68430), member(_68601, _68430), -(apply(_68283, 21 ^ [_68601, _68430, _68357, _68283], _68601))], clausify(surjective)).
% 3.75/4.51 cnf(10, plain, [one_to_one(_69094, _69153, _69211), -(surjective(_69094, _69153, _69211))], clausify(one_to_one)).
% 3.75/4.51 cnf(11, plain, [member(_71118, _70967), member(_71043, _70890), apply(_70812, _71043, _71118), -(apply(inverse_function(_70812, _70890, _70967), _71118, _71043))], clausify(inverse_function)).
% 3.75/4.51
% 3.75/4.51 cnf('1',plain,[identity(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ [])],start(2)).
% 3.75/4.51 cnf('1.1',plain,[-(identity(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ [])), -(member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []))],extension(6,bind([[_66488, _66545], [compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1',plain,[member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []), surjective(41 ^ [], 42 ^ [], 43 ^ []), -(apply(41 ^ [], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]))],extension(9,bind([[_68430, _68357, _68283, _68601], [43 ^ [], 42 ^ [], 41 ^ [], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]]]))).
% 3.75/4.51 cnf('1.1.1.1',plain,[-(surjective(41 ^ [], 42 ^ [], 43 ^ [])), surjective(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [] = 41 ^ [], 42 ^ [] = 42 ^ [], 43 ^ [] = 43 ^ []],extension(4,bind([[_43173, _43258, _43342, _43425, _43507, _43588], [41 ^ [], 41 ^ [], 42 ^ [], 42 ^ [], 43 ^ [], 43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.1.1',plain,[-(surjective(41 ^ [], 42 ^ [], 43 ^ [])), one_to_one(41 ^ [], 42 ^ [], 43 ^ [])],extension(10,bind([[_69094, _69153, _69211], [41 ^ [], 42 ^ [], 43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.1.1.1',plain,[-(one_to_one(41 ^ [], 42 ^ [], 43 ^ []))],extension(1)).
% 3.75/4.51 cnf('1.1.1.1.2',plain,[-(41 ^ [] = 41 ^ [])],extension(3,bind([[_23962], [41 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.1.3',plain,[-(42 ^ [] = 42 ^ [])],extension(3,bind([[_23962], [42 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.1.4',plain,[-(43 ^ [] = 43 ^ [])],extension(3,bind([[_23962], [43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.2',plain,[apply(41 ^ [], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]), member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []), member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []), -(apply(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])])), member(21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 42 ^ []), apply(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []])],extension(5,bind([[_63371, _63586, _63797, _64004, _63692, _63479, _63901, _64496], [41 ^ [], 43 ^ [], 43 ^ [], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 42 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []]]]))).
% 3.75/4.51 cnf('1.1.1.2.1',plain,[-(member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []))],reduction('1.1')).
% 3.75/4.51 cnf('1.1.1.2.2',plain,[-(member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []))],lemmata('1.1.1.2')).
% 3.75/4.51 cnf('1.1.1.2.3',plain,[apply(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]), -(identity(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ []))],extension(7,bind([[_66488, _66545], [compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.2.3.1',plain,[identity(compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ []), 43 ^ [])],extension(2)).
% 3.75/4.51 cnf('1.1.1.2.4',plain,[-(member(21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 42 ^ [])), surjective(41 ^ [], 42 ^ [], 43 ^ []), member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [])],extension(8,bind([[_68283, _68357, _68601, _68430], [41 ^ [], 42 ^ [], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []]]))).
% 3.75/4.51 cnf('1.1.1.2.4.1',plain,[-(surjective(41 ^ [], 42 ^ [], 43 ^ []))],lemmata('1.1.1')).
% 3.75/4.51 cnf('1.1.1.2.4.2',plain,[-(member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []))],lemmata('1.1.1.2')).
% 3.75/4.51 cnf('1.1.1.2.5',plain,[-(apply(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []])), member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []), member(21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 42 ^ []), apply(41 ^ [], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])])],extension(11,bind([[_70967, _70890, _70812, _71043, _71118], [43 ^ [], 42 ^ [], 41 ^ [], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]]]))).
% 3.75/4.51 cnf('1.1.1.2.5.1',plain,[-(member(17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ []))],lemmata('1.1.1.2')).
% 3.75/4.51 cnf('1.1.1.2.5.2',plain,[-(member(21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 42 ^ []))],lemmata('1.1.1.2')).
% 3.75/4.51 cnf('1.1.1.2.5.3',plain,[-(apply(41 ^ [], 21 ^ [17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [43 ^ [], compose_function(41 ^ [], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 43 ^ [], 42 ^ [], 43 ^ [])]))],reduction('1.1.1')).
% 3.75/4.51 %-----------------------------------------------------
% 3.75/4.51
% 3.75/4.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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