TSTP Solution File: SET754+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 02:55:46 EDT 2022
% Result : Theorem 84.21s 81.23s
% Output : Proof 84.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 20:09:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 84.21/81.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.21/81.24 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.21/81.24
% 84.21/81.24 %-----------------------------------------------------
% 84.21/81.24 fof(thIIa04, conjecture, ! [_122058, _122061, _122064, _122067] : (maps(_122058, _122061, _122064) & subset(_122067, _122061) => subset(_122067, inverse_image2(_122058, image2(_122058, _122067)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIIa04)).
% 84.21/81.24 fof(subset, axiom, ! [_122347, _122350] : (subset(_122347, _122350) <=> ! [_122368] : (member(_122368, _122347) => member(_122368, _122350))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 84.21/81.24 fof(maps, axiom, ! [_122614, _122617, _122620] : (maps(_122614, _122617, _122620) <=> ! [_122641] : (member(_122641, _122617) => ? [_122659] : (member(_122659, _122620) & apply(_122614, _122641, _122659))) & ! [_122641, _122692, _122695] : (member(_122641, _122617) & member(_122692, _122620) & member(_122695, _122620) => apply(_122614, _122641, _122692) & apply(_122614, _122641, _122695) => _122692 = _122695)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', maps)).
% 84.21/81.24 fof(image2, axiom, ! [_123179, _123182, _123185] : (member(_123185, image2(_123179, _123182)) <=> ? [_123210] : (member(_123210, _123182) & apply(_123179, _123210, _123185))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', image2)).
% 84.21/81.24 fof(inverse_image2, axiom, ! [_123423, _123426, _123429] : (member(_123429, inverse_image2(_123423, _123426)) <=> ? [_123454] : (member(_123454, _123426) & apply(_123423, _123429, _123454))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', inverse_image2)).
% 84.21/81.24
% 84.21/81.24 cnf(1, plain, [-(maps(41 ^ [], 42 ^ [], 43 ^ []))], clausify(thIIa04)).
% 84.21/81.24 cnf(2, plain, [-(subset(44 ^ [], 42 ^ []))], clausify(thIIa04)).
% 84.21/81.24 cnf(3, plain, [subset(44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])))], clausify(thIIa04)).
% 84.21/81.24 cnf(4, plain, [-(subset(_54778, _54834)), -(member(1 ^ [_54834, _54778], _54778))], clausify(subset)).
% 84.21/81.24 cnf(5, plain, [-(subset(_54778, _54834)), member(1 ^ [_54834, _54778], _54834)], clausify(subset)).
% 84.21/81.24 cnf(6, plain, [subset(_54778, _54834), member(_54948, _54778), -(member(_54948, _54834))], clausify(subset)).
% 84.21/81.24 cnf(7, plain, [maps(_59664, _59791, _59917), member(_60151, _59791), -(apply(_59664, _60151, 4 ^ [_60151, _59917, _59791, _59664]))], clausify(maps)).
% 84.21/81.24 cnf(8, plain, [-(member(_71826, image2(_71697, _71762))), member(_71986, _71762), apply(_71697, _71986, _71826)], clausify(image2)).
% 84.21/81.24 cnf(9, plain, [-(member(_73325, inverse_image2(_73196, _73261))), member(_73485, _73261), apply(_73196, _73325, _73485)], clausify(inverse_image2)).
% 84.21/81.24
% 84.21/81.24 cnf('1',plain,[subset(44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])))],start(3)).
% 84.21/81.24 cnf('1.1',plain,[-(subset(44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])))), -(member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 44 ^ []))],extension(4,bind([[_54834, _54778], [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []]]))).
% 84.21/81.24 cnf('1.1.1',plain,[member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 44 ^ []), subset(44 ^ [], 42 ^ []), -(member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 42 ^ []))],extension(6,bind([[_54778, _54948, _54834], [44 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 42 ^ []]]))).
% 84.21/81.24 cnf('1.1.1.1',plain,[-(subset(44 ^ [], 42 ^ []))],extension(2)).
% 84.21/81.24 cnf('1.1.1.2',plain,[member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 42 ^ []), maps(41 ^ [], 42 ^ [], 43 ^ []), -(apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]))],extension(7,bind([[_60151, _59917, _59791, _59664], [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]]))).
% 84.21/81.24 cnf('1.1.1.2.1',plain,[-(maps(41 ^ [], 42 ^ [], 43 ^ []))],extension(1)).
% 84.21/81.24 cnf('1.1.1.2.2',plain,[apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]), -(member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])))), member(4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], image2(41 ^ [], 44 ^ []))],extension(9,bind([[_73325, _73196, _73485, _73261], [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 41 ^ [], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], image2(41 ^ [], 44 ^ [])]]))).
% 84.21/81.24 cnf('1.1.1.2.2.1',plain,[member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ []))), -(subset(44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ []))))],extension(5,bind([[_54778, _54834], [44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ []))]]))).
% 84.21/81.24 cnf('1.1.1.2.2.1.1',plain,[subset(44 ^ [], inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])))],extension(3)).
% 84.21/81.24 cnf('1.1.1.2.2.2',plain,[-(member(4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], image2(41 ^ [], 44 ^ []))), member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 44 ^ []), apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []])],extension(8,bind([[_71762, _71697, _71986, _71826], [44 ^ [], 41 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]]]))).
% 84.21/81.24 cnf('1.1.1.2.2.2.1',plain,[-(member(1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 44 ^ []))],reduction('1.1')).
% 84.21/81.24 cnf('1.1.1.2.2.2.2',plain,[-(apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 4 ^ [1 ^ [inverse_image2(41 ^ [], image2(41 ^ [], 44 ^ [])), 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]))],reduction('1.1.1.2')).
% 84.21/81.24 %-----------------------------------------------------
% 84.21/81.25
% 84.21/81.25 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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