%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU275+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:41:31 AM UTC 2026
% Result : Theorem 12.55s 2.21s
% Output : CNFRefutation 12.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU275+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 09:02:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.55/2.21 % SZS status Theorem for theBenchmark.p
% 12.55/2.21 % SZS output start CNFRefutation for theBenchmark.p
% 12.55/2.21 fof(d4_wellord1, axiom, ! [X0] : ((relation(X0) => ('well$uordering'(X0) <=> (reflexive(X0) & (transitive(X0) & (antisymmetric(X0) & (connected(X0) & 'well$ufounded$urelation'(X0))))))))).
% 12.55/2.21 fof(dt_k1_wellord2, axiom, ! [X0] : relation('inclusion$urelation'(X0))).
% 12.55/2.21 fof(t2_wellord2, axiom, ! [X0] : reflexive('inclusion$urelation'(X0))).
% 12.55/2.21 fof(t3_wellord2, axiom, ! [X0] : transitive('inclusion$urelation'(X0))).
% 12.55/2.21 fof(t4_wellord2, axiom, ! [X0] : ((ordinal(X0) => connected('inclusion$urelation'(X0))))).
% 12.55/2.21 fof(t5_wellord2, axiom, ! [X0] : antisymmetric('inclusion$urelation'(X0))).
% 12.55/2.21 fof(t6_wellord2, axiom, ! [X0] : ((ordinal(X0) => 'well$ufounded$urelation'('inclusion$urelation'(X0))))).
% 12.55/2.21 fof(t7_wellord2, conjecture, ! [X0] : ((ordinal(X0) => 'well$uordering'('inclusion$urelation'(X0))))).
% 12.55/2.21 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ordinal(X0) => 'well$uordering'('inclusion$urelation'(X0)))), inference(negate_conjecture, [status(cth)], [t7_wellord2])).
% 12.55/2.21 cnf(c4, plain, ~relation(X0) | 'well$uordering'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d4_wellord1])).
% 12.55/2.21 cnf(c10, plain, ~'well$ufounded$urelation'(X0) | X1(X0) | ~connected(X0) | ~antisymmetric(X0) | ~transitive(X0) | ~reflexive(X0), inference(clausification, [status(esa)], [d4_wellord1])).
% 12.55/2.21 cnf(c11, plain, relation('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [dt_k1_wellord2])).
% 12.55/2.21 cnf(c15, plain, reflexive('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [t2_wellord2])).
% 12.55/2.21 cnf(c16, plain, transitive('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [t3_wellord2])).
% 12.55/2.21 cnf(c17, plain, ~ordinal(X0) | connected('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [t4_wellord2])).
% 12.55/2.21 cnf(c18, plain, antisymmetric('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [t5_wellord2])).
% 12.55/2.21 cnf(c19, plain, ~ordinal(X0) | 'well$ufounded$urelation'('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [t6_wellord2])).
% 12.55/2.21 cnf(c20, plain, ordinal(sK11), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/2.21 cnf(c21, plain, ~'well$uordering'('inclusion$urelation'(sK11)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/2.21 cnf(d0, plain, 'Ts2'('inclusion$urelation'(X0)) | ~reflexive('inclusion$urelation'(X0)) | ~transitive('inclusion$urelation'(X0)) | ~antisymmetric('inclusion$urelation'(X0)) | ~connected('inclusion$urelation'(X0)) | ~ordinal(X0), inference(resolution, [status(thm)], [c10,c19])).
% 12.55/2.21 cnf(d1, plain, ~ordinal(X0) | 'Ts2'('inclusion$urelation'(X0)) | ~transitive('inclusion$urelation'(X0)) | ~antisymmetric('inclusion$urelation'(X0)) | ~connected('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c15,d0])).
% 12.55/2.21 cnf(d2, plain, ~ordinal(X0) | 'Ts2'('inclusion$urelation'(X0)) | ~antisymmetric('inclusion$urelation'(X0)) | ~connected('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c16,d1])).
% 12.55/2.21 cnf(d3, plain, ~ordinal(X0) | 'Ts2'('inclusion$urelation'(X0)) | ~connected('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c18,d2])).
% 12.55/2.21 cnf(d4, plain, ~ordinal(X0) | 'Ts2'('inclusion$urelation'(X0)) | ~ordinal(X0), inference(resolution, [status(thm)], [d3,c17])).
% 12.55/2.21 cnf(d5, plain, ~ordinal(X0) | 'well$uordering'('inclusion$urelation'(X0)) | ~relation('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [d4,c4])).
% 12.55/2.21 cnf(d6, plain, ~ordinal(X0) | 'well$uordering'('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c11,d5])).
% 12.55/2.21 cnf(d7, plain, ~ordinal(sK11), inference(resolution, [status(thm)], [d6,c21])).
% 12.55/2.21 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c20,d7])).
% 12.55/2.21 % SZS output end CNFRefutation for theBenchmark.p
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