%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM404+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:12:39 AM UTC 2026
% Result : Theorem 17.46s 2.81s
% Output : CNFRefutation 17.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM404+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n011.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sat Sep 26 02:39:01 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.46/2.81 % SZS status Theorem for theBenchmark.p
% 17.46/2.81 % SZS output start CNFRefutation for theBenchmark.p
% 17.46/2.81 fof(antisymmetry_r2_hidden, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => ~in(X1,X0)))).
% 17.46/2.81 fof(cc2_ordinal1, axiom, ! [X0] : ((('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0)) => ordinal(X0)))).
% 17.46/2.81 fof(d2_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) <=> ! [X1] : ((in(X1,X0) => subset(X1,X0)))))).
% 17.46/2.81 fof(d3_ordinal1, axiom, ! [X0] : (('epsilon$uconnected'(X0) <=> ! [X1] : ! [X2] : ~((in(X1,X0) & (in(X2,X0) & (~in(X1,X2) & (X1 != X2 & ~in(X2,X1))))))))).
% 17.46/2.81 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 17.46/2.81 fof(t23_ordinal1, axiom, ! [X0] : ! [X1] : ((ordinal(X1) => (in(X0,X1) => ordinal(X0))))).
% 17.46/2.81 fof(t24_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => ~((~in(X0,X1) & (X0 != X1 & ~in(X1,X0))))))))).
% 17.46/2.81 fof(t37_ordinal1, conjecture, ! [X0] : ~! [X1] : ((in(X1,X0) <=> ordinal(X1)))).
% 17.46/2.81 fof(negated_conjecture, negated_conjecture, ~! [X0] : ~! [X1] : ((in(X1,X0) <=> ordinal(X1))), inference(negate_conjecture, [status(cth)], [t37_ordinal1])).
% 17.46/2.81 cnf(c0, plain, ~in(X0,X1) | ~in(X1,X0), inference(clausification, [status(esa)], [antisymmetry_r2_hidden])).
% 17.46/2.81 cnf(c8, plain, ~'epsilon$utransitive'(X0) | ~'epsilon$uconnected'(X0) | ordinal(X0), inference(clausification, [status(esa)], [cc2_ordinal1])).
% 17.46/2.81 cnf(c13, plain, 'epsilon$utransitive'(X0) | in(sK10(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 17.46/2.81 cnf(c14, plain, 'epsilon$utransitive'(X0) | ~subset(sK10(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 17.46/2.81 cnf(c16, plain, 'epsilon$uconnected'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c18, plain, X0(X1) | in(sK15(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c19, plain, X0(X1) | in(sK16(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c20, plain, X0(X1) | ~in(sK15(X1),sK16(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c21, plain, X0(X1) | sK15(X1) != sK16(X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c22, plain, X0(X1) | ~in(sK16(X1),sK15(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 17.46/2.81 cnf(c24, plain, subset(X0,X1) | in(sK20(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 17.46/2.81 cnf(c25, plain, subset(X0,X1) | ~in(sK20(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 17.46/2.81 cnf(c82, plain, ~ordinal(X0) | ~in(X1,X0) | ordinal(X1), inference(clausification, [status(esa)], [t23_ordinal1])).
% 17.46/2.81 cnf(c83, plain, ~ordinal(X0) | in(X0,X1) | ~ordinal(X1) | X1 = X0 | in(X1,X0), inference(clausification, [status(esa)], [t24_ordinal1])).
% 17.46/2.81 cnf(c92, plain, ~in(X0,sK60) | ordinal(X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.46/2.81 cnf(c93, plain, in(X0,sK60) | ~ordinal(X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.46/2.81 cnf(d0, plain, 'Ts11'(sK60) | ordinal(sK15(sK60)), inference(resolution, [status(thm)], [c18,c92])).
% 17.46/2.81 cnf(d1, plain, 'Ts11'(sK60) | ordinal(sK16(sK60)), inference(resolution, [status(thm)], [c19,c92])).
% 17.46/2.81 cnf(d2, plain, sK16(X0) = sK15(X0) | in(sK16(X0),sK15(X0)) | ~ordinal(sK15(X0)) | ~ordinal(sK16(X0)) | 'Ts11'(X0), inference(resolution, [status(thm)], [c83,c20])).
% 17.46/2.81 cnf(d3, plain, sK16(X0) = sK15(X0) | ~ordinal(sK15(X0)) | ~ordinal(sK16(X0)) | 'Ts11'(X0) | 'Ts11'(X0), inference(resolution, [status(thm)], [d2,c22])).
% 17.46/2.81 cnf(d4, plain, sK16(sK60) = sK15(sK60) | ~ordinal(sK15(sK60)) | 'Ts11'(sK60) | 'Ts11'(sK60), inference(resolution, [status(thm)], [d3,d1])).
% 17.46/2.81 cnf(d5, plain, sK16(sK60) = sK15(sK60) | 'Ts11'(sK60) | 'Ts11'(sK60), inference(resolution, [status(thm)], [d4,d0])).
% 17.46/2.81 cnf(d6, plain, sK16(sK60) = sK15(sK60) | 'epsilon$uconnected'(sK60), inference(resolution, [status(thm)], [d5,c16])).
% 17.46/2.81 cnf(d7, plain, sK16(sK60) = sK15(sK60) | ordinal(sK60) | ~'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d6,c8])).
% 17.46/2.81 cnf(d8, plain, ~ordinal(X0) | ~in(sK60,X0), inference(resolution, [status(thm)], [c93,c0])).
% 17.46/2.81 cnf(d9, plain, ~ordinal(sK60) | ~ordinal(sK60), inference(resolution, [status(thm)], [d8,c93])).
% 17.46/2.81 cnf(d10, plain, sK16(sK60) = sK15(sK60) | ~'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d9,d7])).
% 17.46/2.81 cnf(d11, plain, 'epsilon$utransitive'(sK60) | ordinal(sK10(sK60)), inference(resolution, [status(thm)], [c13,c92])).
% 17.46/2.81 cnf(d12, plain, subset(X0,sK60) | ~ordinal(sK20(X0,sK60)), inference(resolution, [status(thm)], [c25,c93])).
% 17.46/2.81 cnf(d13, plain, ~ordinal(X0) | ordinal(sK20(X0,X1)) | subset(X0,X1), inference(resolution, [status(thm)], [c82,c24])).
% 17.46/2.81 cnf(d14, plain, ~ordinal(X0) | subset(X0,sK60) | subset(X0,sK60), inference(resolution, [status(thm)], [d13,d12])).
% 17.46/2.81 cnf(d15, plain, ~ordinal(sK10(sK60)) | 'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d14,c14])).
% 17.46/2.81 cnf(d16, plain, 'epsilon$utransitive'(sK60) | 'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d15,d11])).
% 17.46/2.81 cnf(d17, plain, sK16(sK60) = sK15(sK60), inference(resolution, [status(thm)], [d16,d10])).
% 17.46/2.81 cnf(d18, plain, sK15(sK60) != sK15(sK60) | 'Ts11'(sK60), inference(superposition, [status(thm)], [d17,c21])).
% 17.46/2.81 cnf(d19, plain, 'Ts11'(sK60), inference(equality_resolution, [status(thm)], [d18])).
% 17.46/2.81 cnf(d20, plain, 'epsilon$uconnected'(sK60), inference(resolution, [status(thm)], [d19,c16])).
% 17.46/2.81 cnf(d21, plain, ordinal(sK60) | ~'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d20,c8])).
% 17.46/2.81 cnf(d22, plain, ~'epsilon$utransitive'(sK60), inference(resolution, [status(thm)], [d9,d21])).
% 17.46/2.81 cnf(d23, plain, $false, inference(resolution, [status(thm)], [d16,d22])).
% 17.46/2.81 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------