%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU232+1 : 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 : n005.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 08:41:22 AM UTC 2026
% Result : Theorem 130.28s 30.18s
% Output : CNFRefutation 130.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU232+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 08:55:49 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 130.28/30.18 % SZS status Theorem for theBenchmark.p
% 130.28/30.18 % SZS output start CNFRefutation for theBenchmark.p
% 130.28/30.18 fof(antisymmetry_r2_hidden, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => ~in(X1,X0)))).
% 130.28/30.18 fof(cc1_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0))))).
% 130.28/30.18 fof(cc2_ordinal1, axiom, ! [X0] : ((('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0)) => ordinal(X0)))).
% 130.28/30.18 fof(d2_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) <=> ! [X1] : ((in(X1,X0) => subset(X1,X0)))))).
% 130.28/30.18 fof(d3_ordinal1, axiom, ! [X0] : (('epsilon$uconnected'(X0) <=> ! [X1] : ! [X2] : ~((in(X1,X0) & (in(X2,X0) & (~in(X1,X2) & (X1 != X2 & ~in(X2,X1))))))))).
% 130.28/30.18 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 130.28/30.18 fof(t3_ordinal1, axiom, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (in(X1,X2) & in(X2,X0))))).
% 130.28/30.18 fof(t23_ordinal1, conjecture, ! [X0] : ! [X1] : ((ordinal(X1) => (in(X0,X1) => ordinal(X0))))).
% 130.28/30.18 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((ordinal(X1) => (in(X0,X1) => ordinal(X0)))), inference(negate_conjecture, [status(cth)], [t23_ordinal1])).
% 130.28/30.18 cnf(c0, plain, ~in(X0,X1) | ~in(X1,X0), inference(clausification, [status(esa)], [antisymmetry_r2_hidden])).
% 130.28/30.18 cnf(c2, plain, ~ordinal(X0) | 'epsilon$utransitive'(X0), inference(clausification, [status(esa)], [cc1_ordinal1])).
% 130.28/30.18 cnf(c3, plain, ~ordinal(X0) | 'epsilon$uconnected'(X0), inference(clausification, [status(esa)], [cc1_ordinal1])).
% 130.28/30.18 cnf(c8, plain, ~'epsilon$uconnected'(X0) | ~'epsilon$utransitive'(X0) | ordinal(X0), inference(clausification, [status(esa)], [cc2_ordinal1])).
% 130.28/30.18 cnf(c9, plain, ~'epsilon$utransitive'(X0) | ~in(X1,X0) | subset(X1,X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 130.28/30.18 cnf(c10, plain, 'epsilon$utransitive'(X0) | in(sK9(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 130.28/30.18 cnf(c11, plain, 'epsilon$utransitive'(X0) | ~subset(sK9(X0),X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 130.28/30.18 cnf(c12, plain, ~in(X0,X1) | in(X2,X0) | ~in(X2,X1) | ~'epsilon$uconnected'(X1) | in(X0,X2) | X2 = X0, inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c13, plain, 'epsilon$uconnected'(X0) | X1(X0), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c14, plain, ~X0(X1) | in(sK14(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c15, plain, ~X0(X1) | ~in(sK14(X1),sK15(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c16, plain, ~X0(X1) | ~in(sK15(X1),sK14(X1)), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c17, plain, ~X0(X1) | sK15(X1) != sK14(X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c18, plain, ~X0(X1) | in(sK15(X1),X1), inference(clausification, [status(esa)], [d3_ordinal1])).
% 130.28/30.18 cnf(c19, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 130.28/30.18 cnf(c20, plain, subset(X0,X1) | in(sK19(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 130.28/30.18 cnf(c21, plain, subset(X0,X1) | ~in(sK19(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 130.28/30.18 cnf(c67, plain, ~in(X0,X1) | ~in(X2,X0) | ~in(X1,X2), inference(clausification, [status(esa)], [t3_ordinal1])).
% 130.28/30.18 cnf(c78, plain, ordinal(sK70), inference(clausification, [status(esa)], [negated_conjecture])).
% 130.28/30.18 cnf(c79, plain, ~ordinal(sK69), inference(clausification, [status(esa)], [negated_conjecture])).
% 130.28/30.18 cnf(c80, plain, in(sK69,sK70), inference(clausification, [status(esa)], [negated_conjecture])).
% 130.28/30.18 cnf(d0, plain, subset(X0,X1) | ~in(X0,sK19(X0,X1)), inference(resolution, [status(thm)], [c20,c0])).
% 130.28/30.18 cnf(d1, plain, sK69 = X0 | ~in(X0,sK70) | in(X0,sK69) | in(sK69,X0) | ~'epsilon$uconnected'(sK70), inference(resolution, [status(thm)], [c12,c80])).
% 130.28/30.18 cnf(d2, plain, 'epsilon$uconnected'(sK70), inference(resolution, [status(thm)], [c3,c78])).
% 130.28/30.18 cnf(d3, plain, sK69 = X0 | ~in(X0,sK70) | in(X0,sK69) | in(sK69,X0), inference(resolution, [status(thm)], [d2,d1])).
% 130.28/30.18 cnf(d4, plain, ~'epsilon$utransitive'(sK70) | subset(sK69,sK70), inference(resolution, [status(thm)], [c9,c80])).
% 130.28/30.18 cnf(d5, plain, 'epsilon$utransitive'(sK70), inference(resolution, [status(thm)], [c2,c78])).
% 130.28/30.18 cnf(d6, plain, subset(sK69,sK70), inference(resolution, [status(thm)], [d5,d4])).
% 130.28/30.18 cnf(d7, plain, in(X0,sK70) | ~in(X0,sK69), inference(resolution, [status(thm)], [c19,d6])).
% 130.28/30.18 cnf(d8, plain, in(sK9(sK69),sK70) | 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d7,c10])).
% 130.28/30.18 cnf(d9, plain, 'epsilon$utransitive'(sK69) | ~'epsilon$utransitive'(sK70) | subset(sK9(sK69),sK70), inference(resolution, [status(thm)], [d8,c9])).
% 130.28/30.18 cnf(d10, plain, 'epsilon$utransitive'(sK69) | subset(sK9(sK69),sK70), inference(resolution, [status(thm)], [d5,d9])).
% 130.28/30.18 cnf(d11, plain, 'epsilon$utransitive'(sK69) | in(X0,sK70) | ~in(X0,sK9(sK69)), inference(resolution, [status(thm)], [d10,c19])).
% 130.28/30.18 cnf(d12, plain, in(sK19(sK9(sK69),X0),sK70) | 'epsilon$utransitive'(sK69) | subset(sK9(sK69),X0), inference(resolution, [status(thm)], [d11,c20])).
% 130.28/30.18 cnf(d13, plain, 'epsilon$utransitive'(sK69) | subset(sK9(sK69),X0) | sK69 = sK19(sK9(sK69),X0) | in(sK19(sK9(sK69),X0),sK69) | in(sK69,sK19(sK9(sK69),X0)), inference(resolution, [status(thm)], [d12,d3])).
% 130.28/30.18 cnf(d14, plain, sK69 = sK19(sK9(sK69),sK69) | in(sK69,sK19(sK9(sK69),sK69)) | 'epsilon$utransitive'(sK69) | subset(sK9(sK69),sK69) | subset(sK9(sK69),sK69), inference(resolution, [status(thm)], [d13,c21])).
% 130.28/30.18 cnf(d15, plain, ~in(X0,sK9(X1)) | ~in(X1,X0) | 'epsilon$utransitive'(X1), inference(resolution, [status(thm)], [c67,c10])).
% 130.28/30.18 cnf(d16, plain, ~in(X0,sK19(sK9(X0),X1)) | 'epsilon$utransitive'(X0) | subset(sK9(X0),X1), inference(resolution, [status(thm)], [d15,c20])).
% 130.28/30.18 cnf(d17, plain, 'epsilon$utransitive'(sK69) | subset(sK9(sK69),sK69) | sK69 = sK19(sK9(sK69),sK69) | 'epsilon$utransitive'(sK69) | subset(sK9(sK69),sK69), inference(resolution, [status(thm)], [d16,d14])).
% 130.28/30.18 cnf(d18, plain, sK69 = sK19(sK9(sK69),sK69) | 'epsilon$utransitive'(sK69) | 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d17,c11])).
% 130.28/30.18 cnf(d19, plain, in(sK14(sK69),sK70) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d7,c14])).
% 130.28/30.18 cnf(d20, plain, in(sK15(sK69),sK70) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d7,c18])).
% 130.28/30.18 cnf(d21, plain, ~'Ts10'(sK69) | sK15(sK69) = X0 | ~in(X0,sK70) | in(X0,sK15(sK69)) | in(sK15(sK69),X0) | ~'epsilon$uconnected'(sK70), inference(resolution, [status(thm)], [d20,c12])).
% 130.28/30.18 cnf(d22, plain, sK15(sK69) = X0 | in(X0,sK15(sK69)) | ~in(X0,sK70) | in(sK15(sK69),X0) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d2,d21])).
% 130.28/30.18 cnf(d23, plain, sK15(sK69) = sK14(sK69) | ~in(sK14(sK69),sK70) | in(sK15(sK69),sK14(sK69)) | ~'Ts10'(sK69) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d22,c15])).
% 130.28/30.18 cnf(d24, plain, sK15(sK69) = sK14(sK69) | ~in(sK14(sK69),sK70) | ~'Ts10'(sK69) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d23,c16])).
% 130.28/30.18 cnf(d25, plain, sK15(sK69) = sK14(sK69) | ~'Ts10'(sK69) | ~'Ts10'(sK69), inference(resolution, [status(thm)], [d24,d19])).
% 130.28/30.18 cnf(d26, plain, sK15(sK69) = sK14(sK69) | 'epsilon$uconnected'(sK69), inference(resolution, [status(thm)], [d25,c13])).
% 130.28/30.18 cnf(d27, plain, sK15(sK69) = sK14(sK69) | ordinal(sK69) | ~'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d26,c8])).
% 130.28/30.18 cnf(d28, plain, sK15(sK69) = sK14(sK69) | ~'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [c79,d27])).
% 130.28/30.18 cnf(d29, plain, sK69 = sK19(sK9(sK69),sK69) | sK15(sK69) = sK14(sK69), inference(resolution, [status(thm)], [d18,d28])).
% 130.28/30.18 cnf(d30, plain, ~in(sK9(sK69),sK69) | subset(sK9(sK69),sK69) | sK15(sK69) = sK14(sK69), inference(superposition, [status(thm)], [d29,d0])).
% 130.28/30.18 cnf(d31, plain, sK15(sK69) = sK14(sK69) | subset(sK9(sK69),sK69) | 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d30,c10])).
% 130.28/30.18 cnf(d32, plain, sK15(sK69) = sK14(sK69) | 'epsilon$utransitive'(sK69) | 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d31,c11])).
% 130.28/30.18 cnf(d33, plain, sK15(sK69) = sK14(sK69) | sK15(sK69) = sK14(sK69), inference(resolution, [status(thm)], [d32,d28])).
% 130.28/30.18 cnf(d34, plain, sK14(sK69) != sK14(sK69) | ~'Ts10'(sK69), inference(superposition, [status(thm)], [d33,c17])).
% 130.28/30.18 cnf(d35, plain, ~'Ts10'(sK69), inference(equality_resolution, [status(thm)], [d34])).
% 130.28/30.18 cnf(d36, plain, 'epsilon$uconnected'(sK69), inference(resolution, [status(thm)], [d35,c13])).
% 130.28/30.18 cnf(d37, plain, ordinal(sK69) | ~'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d36,c8])).
% 130.28/30.18 cnf(d38, plain, ~'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [c79,d37])).
% 130.28/30.18 cnf(d39, plain, sK69 = sK19(sK9(sK69),sK69), inference(resolution, [status(thm)], [d38,d18])).
% 130.28/30.18 cnf(d40, plain, ~in(sK9(sK69),sK69) | subset(sK9(sK69),sK69), inference(superposition, [status(thm)], [d39,d0])).
% 130.28/30.18 cnf(d41, plain, subset(sK9(sK69),sK69) | 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d40,c10])).
% 130.28/30.18 cnf(d42, plain, subset(sK9(sK69),sK69), inference(resolution, [status(thm)], [d38,d41])).
% 130.28/30.18 cnf(d43, plain, 'epsilon$utransitive'(sK69), inference(resolution, [status(thm)], [d42,c11])).
% 130.28/30.18 cnf(d44, plain, $false, inference(resolution, [status(thm)], [d38,d43])).
% 130.28/30.18 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------