%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:19:38 AM UTC 2026
% Result : Theorem 10.54s 2.09s
% Output : CNFRefutation 10.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n017.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sat Sep 26 04:35:03 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.54/2.09 % SZS status Theorem for theBenchmark.p
% 10.54/2.09 % SZS output start CNFRefutation for theBenchmark.p
% 10.54/2.09 fof(definition_none_greater, axiom, ! [X0] : ((object(X0) => ('exemplifies$uproperty'('none$ugreater',X0) <=> ('exemplifies$uproperty'(conceivable,X0) & ~? [X1] : ((object(X1) & ('exemplifies$urelation'('greater$uthan',X1,X0) & 'exemplifies$uproperty'(conceivable,X1))))))))).
% 10.54/2.09 fof(connectedness_of_greater_than, axiom, ! [X0] : ! [X1] : (((object(X0) & object(X1)) => ('exemplifies$urelation'('greater$uthan',X0,X1) | ('exemplifies$urelation'('greater$uthan',X1,X0) | X0 = X1))))).
% 10.54/2.09 fof(lemma_2, conjecture, (? [X0] : ((object(X0) & 'exemplifies$uproperty'('none$ugreater',X0))) => ? [X0] : ((object(X0) & ('exemplifies$uproperty'('none$ugreater',X0) & ! [X1] : ((object(X1) => ('exemplifies$uproperty'('none$ugreater',X1) => X1 = X0)))))))).
% 10.54/2.09 fof(negated_conjecture, negated_conjecture, ~((? [X0] : ((object(X0) & 'exemplifies$uproperty'('none$ugreater',X0))) => ? [X0] : ((object(X0) & ('exemplifies$uproperty'('none$ugreater',X0) & ! [X1] : ((object(X1) => ('exemplifies$uproperty'('none$ugreater',X1) => X1 = X0)))))))), inference(negate_conjecture, [status(cth)], [lemma_2])).
% 10.54/2.09 cnf(c0, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | X1(X0), inference(clausification, [status(esa)], [definition_none_greater])).
% 10.54/2.09 cnf(c2, plain, ~X0(X1) | 'exemplifies$uproperty'(conceivable,X1), inference(clausification, [status(esa)], [definition_none_greater])).
% 10.54/2.09 cnf(c3, plain, ~X0(X1) | ~object(X2) | ~'exemplifies$urelation'('greater$uthan',X2,X1) | ~'exemplifies$uproperty'(conceivable,X2), inference(clausification, [status(esa)], [definition_none_greater])).
% 10.54/2.09 cnf(c7, plain, X0 = X1 | 'exemplifies$urelation'('greater$uthan',X0,X1) | ~object(X1) | ~object(X0) | 'exemplifies$urelation'('greater$uthan',X1,X0), inference(clausification, [status(esa)], [connectedness_of_greater_than])).
% 10.54/2.09 cnf(c8, plain, object(sK6), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.54/2.09 cnf(c9, plain, 'exemplifies$uproperty'('none$ugreater',sK6), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.54/2.09 cnf(c10, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | object(sK8(X0)), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.54/2.09 cnf(c11, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | 'exemplifies$uproperty'('none$ugreater',sK8(X0)), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.54/2.09 cnf(c12, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | sK8(X0) != X0, inference(clausification, [status(esa)], [negated_conjecture])).
% 10.54/2.09 cnf(d0, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | ~object(sK8(X0)) | 'Ts0'(sK8(X0)), inference(resolution, [status(thm)], [c11,c0])).
% 10.54/2.09 cnf(d1, plain, ~object(sK6) | ~object(sK8(sK6)) | 'Ts0'(sK8(sK6)), inference(resolution, [status(thm)], [d0,c9])).
% 10.54/2.09 cnf(d2, plain, ~object(sK8(sK6)) | 'Ts0'(sK8(sK6)), inference(resolution, [status(thm)], [c8,d1])).
% 10.54/2.09 cnf(d3, plain, ~object(sK6) | object(sK8(sK6)), inference(resolution, [status(thm)], [c10,c9])).
% 10.54/2.09 cnf(d4, plain, object(sK8(sK6)), inference(resolution, [status(thm)], [c8,d3])).
% 10.54/2.09 cnf(d5, plain, 'Ts0'(sK8(sK6)), inference(resolution, [status(thm)], [d4,d2])).
% 10.54/2.09 cnf(d6, plain, ~object(sK6) | 'Ts0'(sK6), inference(resolution, [status(thm)], [c9,c0])).
% 10.54/2.09 cnf(d7, plain, 'Ts0'(sK6), inference(resolution, [status(thm)], [c8,d6])).
% 10.54/2.09 cnf(d8, plain, X0 = X1 | ~object(X1) | ~object(X0) | 'exemplifies$urelation'('greater$uthan',X0,X1) | ~object(X1) | ~'exemplifies$uproperty'(conceivable,X1) | ~'Ts0'(X0), inference(resolution, [status(thm)], [c7,c3])).
% 10.54/2.09 cnf(d9, plain, X0 = X1 | ~object(X1) | ~object(X0) | ~'exemplifies$uproperty'(conceivable,X1) | ~'Ts0'(X0) | ~object(X0) | ~'exemplifies$uproperty'(conceivable,X0) | ~'Ts0'(X1), inference(resolution, [status(thm)], [d8,c3])).
% 10.54/2.09 cnf(d10, plain, X0 = X1 | ~object(X1) | ~object(X0) | ~'exemplifies$uproperty'(conceivable,X1) | ~'Ts0'(X1) | ~'Ts0'(X0) | ~'Ts0'(X0), inference(resolution, [status(thm)], [d9,c2])).
% 10.54/2.09 cnf(d11, plain, X0 = X1 | ~object(X1) | ~object(X0) | ~'Ts0'(X1) | ~'Ts0'(X0) | ~'Ts0'(X1), inference(resolution, [status(thm)], [d10,c2])).
% 10.54/2.09 cnf(d12, plain, sK6 = X0 | ~object(X0) | ~object(sK6) | ~'Ts0'(X0), inference(resolution, [status(thm)], [d11,d7])).
% 10.54/2.09 cnf(d13, plain, sK6 = X0 | ~object(X0) | ~'Ts0'(X0), inference(resolution, [status(thm)], [c8,d12])).
% 10.54/2.09 cnf(d14, plain, sK6 = sK8(sK6) | ~object(sK8(sK6)), inference(resolution, [status(thm)], [d13,d5])).
% 10.54/2.09 cnf(d15, plain, sK6 = sK8(sK6), inference(resolution, [status(thm)], [d4,d14])).
% 10.54/2.09 cnf(d16, plain, sK6 != sK6 | ~object(sK6) | ~'exemplifies$uproperty'('none$ugreater',sK6), inference(superposition, [status(thm)], [d15,c12])).
% 10.54/2.09 cnf(d17, plain, sK6 != sK6 | ~'exemplifies$uproperty'('none$ugreater',sK6), inference(resolution, [status(thm)], [c8,d16])).
% 10.54/2.09 cnf(d18, plain, sK6 != sK6, inference(resolution, [status(thm)], [c9,d17])).
% 10.54/2.09 cnf(d19, plain, $false, inference(equality_resolution, [status(thm)], [d18])).
% 10.54/2.09 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------