TSTP Solution File: SET724+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 02:55:36 EDT 2022
% Result : Theorem 11.29s 11.79s
% Output : Proof 11.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n008.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 00:11:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.29/11.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/11.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/11.80
% 11.29/11.80 %-----------------------------------------------------
% 11.29/11.80 fof(thII15, conjecture, ! [_135704, _135707, _135710, _135713, _135716, _135719] : (maps(_135704, _135713, _135716) & maps(_135707, _135716, _135719) & maps(_135710, _135716, _135719) & surjective(_135704, _135713, _135716) & equal_maps(compose_function(_135707, _135704, _135713, _135716, _135719), compose_function(_135710, _135704, _135713, _135716, _135719), _135713, _135719) => equal_maps(_135707, _135710, _135716, _135719)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thII15)).
% 11.29/11.80 fof(compose_function, axiom, ! [_136247, _136250, _136253, _136256, _136259, _136262, _136265] : (member(_136262, _136253) & member(_136265, _136259) => (apply(compose_function(_136247, _136250, _136253, _136256, _136259), _136262, _136265) <=> ? [_136322] : (member(_136322, _136256) & apply(_136250, _136262, _136322) & apply(_136247, _136322, _136265)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', compose_function)).
% 11.29/11.80 fof(equal_maps, axiom, ! [_136648, _136651, _136654, _136657] : (equal_maps(_136648, _136651, _136654, _136657) <=> ! [_136681, _136684, _136687] : (member(_136681, _136654) & member(_136684, _136657) & member(_136687, _136657) => apply(_136648, _136681, _136684) & apply(_136651, _136681, _136687) => _136684 = _136687)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', equal_maps)).
% 11.29/11.80 fof(surjective, axiom, ! [_137114, _137117, _137120] : (surjective(_137114, _137117, _137120) <=> ! [_137141] : (member(_137141, _137120) => ? [_137159] : (member(_137159, _137117) & apply(_137114, _137159, _137141)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', surjective)).
% 11.29/11.80
% 11.29/11.80 cnf(1, plain, [-(surjective(41 ^ [], 44 ^ [], 45 ^ []))], clausify(thII15)).
% 11.29/11.80 cnf(2, plain, [-(equal_maps(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 44 ^ [], 46 ^ []))], clausify(thII15)).
% 11.29/11.80 cnf(3, plain, [equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])], clausify(thII15)).
% 11.29/11.80 cnf(4, plain, [member(_64377, _64170), member(_64274, _63959), -(apply(compose_function(_63744, _63852, _63959, _64065, _64170), _64274, _64377)), member(_64869, _64065), apply(_63852, _64274, _64869), apply(_63744, _64869, _64377)], clausify(compose_function)).
% 11.29/11.80 cnf(5, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), -(member(14 ^ [_65701, _65599, _65496, _65392], _65599))], clausify(equal_maps)).
% 11.29/11.80 cnf(6, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), -(member(15 ^ [_65701, _65599, _65496, _65392], _65701))], clausify(equal_maps)).
% 11.29/11.80 cnf(7, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), -(member(16 ^ [_65701, _65599, _65496, _65392], _65701))], clausify(equal_maps)).
% 11.29/11.80 cnf(8, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), -(apply(_65392, 14 ^ [_65701, _65599, _65496, _65392], 15 ^ [_65701, _65599, _65496, _65392]))], clausify(equal_maps)).
% 11.29/11.80 cnf(9, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), -(apply(_65496, 14 ^ [_65701, _65599, _65496, _65392], 16 ^ [_65701, _65599, _65496, _65392]))], clausify(equal_maps)).
% 11.29/11.80 cnf(10, plain, [-(equal_maps(_65392, _65496, _65599, _65701)), 15 ^ [_65701, _65599, _65496, _65392] = 16 ^ [_65701, _65599, _65496, _65392]], clausify(equal_maps)).
% 11.29/11.80 cnf(11, plain, [equal_maps(_65392, _65496, _65599, _65701), member(_66124, _65701), member(_66033, _65701), member(_65941, _65599), -(_66033 = _66124), apply(_65392, _65941, _66033), apply(_65496, _65941, _66124)], clausify(equal_maps)).
% 11.29/11.80 cnf(12, plain, [surjective(_68656, _68730, _68803), member(_68974, _68803), -(member(21 ^ [_68974, _68803, _68730, _68656], _68730))], clausify(surjective)).
% 11.29/11.80 cnf(13, plain, [surjective(_68656, _68730, _68803), member(_68974, _68803), -(apply(_68656, 21 ^ [_68974, _68803, _68730, _68656], _68974))], clausify(surjective)).
% 11.29/11.80
% 11.29/11.80 cnf('1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],start(3)).
% 11.29/11.80 cnf('1.1',plain,[-(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])), 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []] = 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]],extension(10,bind([[_65701, _65599, _65496, _65392], [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]]))).
% 11.29/11.80 cnf('1.1.1',plain,[-(15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []] = 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]), equal_maps(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 44 ^ [], 46 ^ []), member(16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []), member(15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []), member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ []), apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]), apply(compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])],extension(11,bind([[_65701, _65599, _65392, _66033, _65496, _65941, _66124], [46 ^ [], 44 ^ [], compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 11.29/11.80 cnf('1.1.1.1',plain,[-(equal_maps(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 44 ^ [], 46 ^ []))],extension(2)).
% 11.29/11.80 cnf('1.1.1.2',plain,[-(member(16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ [])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(7,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.2.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.3',plain,[-(member(15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ [])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(6,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.3.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.4',plain,[-(member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ [])), surjective(41 ^ [], 44 ^ [], 45 ^ []), member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])],extension(12,bind([[_68656, _68730, _68974, _68803], [41 ^ [], 44 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.4.1',plain,[-(surjective(41 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.29/11.80 cnf('1.1.1.4.2',plain,[-(member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(5,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.4.2.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.5',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), member(15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []), member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ []), member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []), apply(41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]), apply(42 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])],extension(4,bind([[_64170, _63959, _64065, _63852, _64274, _63744, _64869, _64377], [46 ^ [], 44 ^ [], 45 ^ [], 41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 42 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 11.29/11.80 cnf('1.1.1.5.1',plain,[-(member(15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []))],lemmata('1.1.1')).
% 11.29/11.80 cnf('1.1.1.5.2',plain,[-(member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ []))],lemmata('1.1.1')).
% 11.29/11.80 cnf('1.1.1.5.3',plain,[-(member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(5,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.5.3.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.5.4',plain,[-(apply(41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), surjective(41 ^ [], 44 ^ [], 45 ^ []), member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])],extension(13,bind([[_68656, _68730, _68974, _68803], [41 ^ [], 44 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.5.4.1',plain,[-(surjective(41 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.29/11.80 cnf('1.1.1.5.4.2',plain,[-(member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []))],lemmata('1.1.1.5')).
% 11.29/11.80 cnf('1.1.1.5.5',plain,[-(apply(42 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 15 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(8,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.5.5.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.6',plain,[-(apply(compose_function(43 ^ [], 41 ^ [], 44 ^ [], 45 ^ [], 46 ^ []), 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), member(16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []), member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ []), member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []), apply(41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]), apply(43 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])],extension(4,bind([[_64170, _63959, _64065, _63852, _64274, _63744, _64869, _64377], [46 ^ [], 44 ^ [], 45 ^ [], 41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 43 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []]]]))).
% 11.29/11.80 cnf('1.1.1.6.1',plain,[-(member(16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 46 ^ []))],lemmata('1.1.1')).
% 11.29/11.80 cnf('1.1.1.6.2',plain,[-(member(21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 44 ^ []))],lemmata('1.1.1')).
% 11.29/11.80 cnf('1.1.1.6.3',plain,[-(member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(5,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.6.3.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 cnf('1.1.1.6.4',plain,[-(apply(41 ^ [], 21 ^ [14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [], 44 ^ [], 41 ^ []], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), surjective(41 ^ [], 44 ^ [], 45 ^ []), member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ [])],extension(13,bind([[_68656, _68730, _68974, _68803], [41 ^ [], 44 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.6.4.1',plain,[-(surjective(41 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.29/11.80 cnf('1.1.1.6.4.2',plain,[-(member(14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 45 ^ []))],lemmata('1.1.1.6')).
% 11.29/11.80 cnf('1.1.1.6.5',plain,[-(apply(43 ^ [], 14 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []], 16 ^ [46 ^ [], 45 ^ [], 43 ^ [], 42 ^ []])), -(equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []))],extension(9,bind([[_65392, _65496, _65599, _65701], [42 ^ [], 43 ^ [], 45 ^ [], 46 ^ []]]))).
% 11.29/11.80 cnf('1.1.1.6.5.1',plain,[equal_maps(42 ^ [], 43 ^ [], 45 ^ [], 46 ^ [])],extension(3)).
% 11.29/11.80 %-----------------------------------------------------
% 11.29/11.81
% 11.29/11.81 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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