%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU234+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:41:23 AM UTC 2026
% Result : Theorem 78.25s 24.26s
% Output : CNFRefutation 78.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU234+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 08:54:23 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.25/24.26 % SZS status Theorem for theBenchmark.p
% 78.25/24.26 % SZS output start CNFRefutation for theBenchmark.p
% 78.25/24.26 fof(cc2_ordinal1, axiom, ! [X0] : ((('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0)) => ordinal(X0)))).
% 78.25/24.26 fof(d2_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) <=> ! [X1] : ((in(X1,X0) => subset(X1,X0)))))).
% 78.25/24.26 fof(d3_ordinal1, axiom, ! [X0] : (('epsilon$uconnected'(X0) <=> ! [X1] : ! [X2] : ~((in(X1,X0) & (in(X2,X0) & (~in(X1,X2) & (X1 != X2 & ~in(X2,X1))))))))).
% 78.25/24.26 fof(t24_ordinal1, lemma, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => ~((~in(X0,X1) & (X0 != X1 & ~in(X1,X0))))))))).
% 78.25/24.26 fof(t31_ordinal1, conjecture, ! [X0] : ((! [X1] : ((in(X1,X0) => (ordinal(X1) & subset(X1,X0)))) => ordinal(X0)))).
% 78.25/24.26 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((! [X1] : ((in(X1,X0) => (ordinal(X1) & subset(X1,X0)))) => ordinal(X0))), inference(negate_conjecture, [status(cth)], [t31_ordinal1])).
% 78.25/24.26 cnf(c9, plain, ~'epsilon$uconnected'(X0) | ~'epsilon$utransitive'(X0) | ordinal(X0), inference(clausification, [status(esa)], [cc2_ordinal1])).
% 78.25/24.26 cnf(c124, plain, 'epsilon$utransitive'(X0) | in(sK122(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 78.25/24.26 cnf(c125, plain, 'epsilon$utransitive'(X0) | ~subset(sK122(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 78.25/24.26 cnf(c164, plain, 'epsilon$uconnected'(X0) | X1(X0), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c165, plain, ~X0(X1) | in(sK162(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c166, plain, ~X0(X1) | ~in(sK162(X1),sK163(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c167, plain, ~X0(X1) | ~in(sK163(X1),sK162(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c168, plain, ~X0(X1) | sK163(X1) != sK162(X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c169, plain, ~X0(X1) | in(sK163(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 78.25/24.26 cnf(c456, plain, ~ordinal(X0) | ~ordinal(X1) | X0 = X1 | in(X1,X0) | in(X0,X1), inference(clausification, [status(esa)], [t24_ordinal1])).
% 78.25/24.26 cnf(c589, plain, ~in(X0,sK683) | ordinal(X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 78.25/24.26 cnf(c590, plain, ~in(X0,sK683) | subset(X0,sK683), inference(clausification, [status(esa)], [negated_conjecture])).
% 78.25/24.26 cnf(c591, plain, ~ordinal(sK683), inference(clausification, [status(esa)], [negated_conjecture])).
% 78.25/24.26 cnf(d0, plain, ~'Ts158'(sK683) | ordinal(sK163(sK683)), inference(resolution, [status(thm)], [c169,c589])).
% 78.25/24.26 cnf(d1, plain, sK163(X0) = sK162(X0) | in(sK163(X0),sK162(X0)) | ~ordinal(sK162(X0)) | ~ordinal(sK163(X0)) | ~'Ts158'(X0), inference(resolution, [status(thm)], [c456,c166])).
% 78.25/24.26 cnf(d2, plain, ~'Ts158'(X0) | sK163(X0) = sK162(X0) | ~ordinal(sK162(X0)) | ~ordinal(sK163(X0)) | ~'Ts158'(X0), inference(resolution, [status(thm)], [c167,d1])).
% 78.25/24.26 cnf(d3, plain, ~'Ts158'(X0) | ~ordinal(sK162(X0)) | ~ordinal(sK163(X0)) | ~'Ts158'(X0), inference(resolution, [status(thm)], [c168,d2])).
% 78.25/24.26 cnf(d4, plain, ~ordinal(sK162(sK683)) | ~'Ts158'(sK683) | ~'Ts158'(sK683), inference(resolution, [status(thm)], [d3,d0])).
% 78.25/24.26 cnf(d5, plain, ~'Ts158'(sK683) | ordinal(sK162(sK683)), inference(resolution, [status(thm)], [c165,c589])).
% 78.25/24.26 cnf(d6, plain, ~'Ts158'(sK683) | ~'Ts158'(sK683), inference(resolution, [status(thm)], [d5,d4])).
% 78.25/24.26 cnf(d7, plain, 'epsilon$uconnected'(sK683), inference(resolution, [status(thm)], [d6,c164])).
% 78.25/24.26 cnf(d8, plain, ordinal(sK683) | ~'epsilon$utransitive'(sK683), inference(resolution, [status(thm)], [d7,c9])).
% 78.25/24.26 cnf(d9, plain, ~'epsilon$utransitive'(sK683), inference(resolution, [status(thm)], [c591,d8])).
% 78.25/24.26 cnf(d10, plain, 'epsilon$utransitive'(sK683) | subset(sK122(sK683),sK683), inference(resolution, [status(thm)], [c124,c590])).
% 78.25/24.26 cnf(d11, plain, 'epsilon$utransitive'(sK683) | 'epsilon$utransitive'(sK683), inference(resolution, [status(thm)], [c125,d10])).
% 78.25/24.26 cnf(d12, plain, $false, inference(resolution, [status(thm)], [d11,d9])).
% 78.25/24.26 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------