TSTP Solution File: SET767+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 02:55:51 EDT 2022
% Result : Theorem 0.46s 1.40s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 : Sat Jul 9 17:43:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/1.41
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41 fof(thIII03, conjecture, ! [_68277, _68280, _68283] : (equivalence(_68280, _68277) => subset(equivalence_class(_68283, _68277, _68280), _68277)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIII03)).
% 0.46/1.41 fof(subset, axiom, ! [_68477, _68480] : (subset(_68477, _68480) <=> ! [_68498] : (member(_68498, _68477) => member(_68498, _68480))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.46/1.41 fof(difference, axiom, ! [_68707, _68710, _68713] : (member(_68707, difference(_68713, _68710)) <=> member(_68707, _68713) & ~ member(_68707, _68710)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.46/1.41 fof(equivalence_class, axiom, ! [_69016, _69019, _69022, _69025] : (member(_69025, equivalence_class(_69022, _69019, _69016)) <=> member(_69025, _69019) & apply(_69016, _69022, _69025)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax', equivalence_class)).
% 0.46/1.41
% 0.46/1.41 cnf(1, plain, [subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ [])], clausify(thIII03)).
% 0.46/1.41 cnf(2, plain, [-(subset(_24640, _24696)), -(member(1 ^ [_24696, _24640], _24640))], clausify(subset)).
% 0.46/1.41 cnf(3, plain, [-(subset(_24640, _24696)), member(1 ^ [_24696, _24640], _24696)], clausify(subset)).
% 0.46/1.41 cnf(4, plain, [member(_27045, difference(_27166, _27106)), member(_27045, _27106)], clausify(difference)).
% 0.46/1.41 cnf(5, plain, [-(member(_27045, difference(_27166, _27106))), member(_27045, _27166), -(member(_27045, _27106))], clausify(difference)).
% 0.46/1.41 cnf(6, plain, [member(_33801, equivalence_class(_33737, _33672, _33606)), -(member(_33801, _33672))], clausify(equivalence_class)).
% 0.46/1.41
% 0.46/1.41 cnf('1',plain,[member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], difference(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ [])), member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ [])],start(4,bind([[_27166, _27045, _27106], [equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ []]]))).
% 0.46/1.41 cnf('1.1',plain,[-(member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], difference(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []))), member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])), -(member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ []))],extension(5,bind([[_27166, _27045, _27106], [equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ []]]))).
% 0.46/1.41 cnf('1.1.1',plain,[-(member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))), -(subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []))],extension(2,bind([[_24640, _24696], [equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.1',plain,[subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ [])],extension(1)).
% 0.46/1.41 cnf('1.1.2',plain,[member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ []), -(subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []))],extension(3,bind([[_24640, _24696], [equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []]]))).
% 0.46/1.41 cnf('1.1.2.1',plain,[subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ [])],extension(1)).
% 0.46/1.41 cnf('1.2',plain,[-(member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 21 ^ [])), member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))],extension(6,bind([[_33801, _33737, _33672, _33606], [1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], 23 ^ [], 21 ^ [], 22 ^ []]]))).
% 0.46/1.41 cnf('1.2.1',plain,[-(member(1 ^ [21 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ [])], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))), -(subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []))],extension(2,bind([[_24640, _24696], [equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ []]]))).
% 0.46/1.41 cnf('1.2.1.1',plain,[subset(equivalence_class(23 ^ [], 21 ^ [], 22 ^ []), 21 ^ [])],extension(1)).
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41
% 0.46/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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