TSTP Solution File: SET766+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 0.34s 1.41s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 08:00:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(thIII02, conjecture, ! [_66769, _66772, _66775] : (equivalence(_66772, _66769) & member(_66775, _66769) => member(_66775, equivalence_class(_66775, _66769, _66772))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIII02)).
% 0.34/1.42 fof(equivalence, axiom, ! [_67123, _67126] : (equivalence(_67126, _67123) <=> ! [_67144] : (member(_67144, _67123) => apply(_67126, _67144, _67144)) & ! [_67144, _67177] : (member(_67144, _67123) & member(_67177, _67123) => apply(_67126, _67144, _67177) => apply(_67126, _67177, _67144)) & ! [_67144, _67177, _67235] : (member(_67144, _67123) & member(_67177, _67123) & member(_67235, _67123) => apply(_67126, _67144, _67177) & apply(_67126, _67177, _67235) => apply(_67126, _67144, _67235))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax', equivalence)).
% 0.34/1.42 fof(equivalence_class, axiom, ! [_67743, _67746, _67749, _67752] : (member(_67752, equivalence_class(_67749, _67746, _67743)) <=> member(_67752, _67746) & apply(_67743, _67749, _67752)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax', equivalence_class)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(equivalence(22 ^ [], 21 ^ []))], clausify(thIII02)).
% 0.34/1.42 cnf(2, plain, [-(member(23 ^ [], 21 ^ []))], clausify(thIII02)).
% 0.34/1.42 cnf(3, plain, [member(23 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))], clausify(thIII02)).
% 0.34/1.42 cnf(4, plain, [equivalence(_31738, _31591), member(_31953, _31591), -(apply(_31738, _31953, _31953))], clausify(equivalence)).
% 0.34/1.42 cnf(5, plain, [-(member(_33830, equivalence_class(_33766, _33701, _33635))), member(_33830, _33701), apply(_33635, _33766, _33830)], clausify(equivalence_class)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[member(23 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))],start(3)).
% 0.34/1.42 cnf('1.1',plain,[-(member(23 ^ [], equivalence_class(23 ^ [], 21 ^ [], 22 ^ []))), member(23 ^ [], 21 ^ []), apply(22 ^ [], 23 ^ [], 23 ^ [])],extension(5,bind([[_33701, _33635, _33766, _33830], [21 ^ [], 22 ^ [], 23 ^ [], 23 ^ []]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(member(23 ^ [], 21 ^ []))],extension(2)).
% 0.34/1.42 cnf('1.1.2',plain,[-(apply(22 ^ [], 23 ^ [], 23 ^ [])), equivalence(22 ^ [], 21 ^ []), member(23 ^ [], 21 ^ [])],extension(4,bind([[_31738, _31953, _31591], [22 ^ [], 23 ^ [], 21 ^ []]]))).
% 0.34/1.42 cnf('1.1.2.1',plain,[-(equivalence(22 ^ [], 21 ^ []))],extension(1)).
% 0.34/1.42 cnf('1.1.2.2',plain,[-(member(23 ^ [], 21 ^ []))],extension(2)).
% 0.34/1.42 %-----------------------------------------------------
% 0.43/1.43
% 0.43/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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