%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU272+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 : n015.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 08:41:30 AM UTC 2026 % Result : Theorem 45.88s 6.87s % Output : CNFRefutation 45.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU272+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 % 0.09/0.97 % Computer : n015.cluster.edu % 0.09/0.97 % Model : x86_64 x86_64 % 0.09/0.97 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.97 % Memory : 8046.5625MB % 0.09/0.97 % OS : Linux 6.8.0-71-generic % 0.09/0.98 % CPULimit : 300 % 0.09/0.98 % WCLimit : 300 % 0.09/0.98 % DateTime : Sat Sep 26 09:06:46 UTC 2026 % 0.09/0.98 % CPUTime : % 0.09/0.98 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 45.88/6.87 % SZS status Theorem for theBenchmark.p % 45.88/6.87 % SZS output start CNFRefutation for theBenchmark.p % 45.88/6.87 fof(s1_tarski__e8_6__wellord2__1, axiom, ! [X0] : ! [X1] : ((ordinal(X1) => (! [X2] : ! [X3] : ! [X4] : (((X2 = X3 & (? [X5] : ((ordinal(X5) & (X3 = X5 & in(X5,X0)))) & (X2 = X4 & ? [X6] : ((ordinal(X6) & (X4 = X6 & in(X6,X0))))))) => X3 = X4)) => ? [X2] : ! [X3] : ((in(X3,X2) <=> ? [X4] : ((in(X4,succ(X1)) & (X4 = X3 & ? [X7] : ((ordinal(X7) & (X3 = X7 & in(X7,X0))))))))))))). % 45.88/6.87 fof(s1_xboole_0__e8_6__wellord2__1, conjecture, ! [X0] : ! [X1] : ((ordinal(X1) => ? [X2] : ! [X3] : ((in(X3,X2) <=> (in(X3,succ(X1)) & ? [X4] : ((ordinal(X4) & (X3 = X4 & in(X4,X0)))))))))). % 45.88/6.87 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((ordinal(X1) => ? [X2] : ! [X3] : ((in(X3,X2) <=> (in(X3,succ(X1)) & ? [X4] : ((ordinal(X4) & (X3 = X4 & in(X4,X0))))))))), inference(negate_conjecture, [status(cth)], [s1_xboole_0__e8_6__wellord2__1])). % 45.88/6.87 cnf(c22, plain, ~ordinal(X0) | ~in(X1,sK16(X2,X0)) | X3(X2,X0,X1) | X4(X2), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c23, plain, X0 != X1 | ~ordinal(X0) | X2(X3) | ~in(X4,succ(X5)) | in(X1,sK16(X3,X5)) | ~ordinal(X5) | ~in(X0,X3) | X1 != X4, inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c24, plain, ~X0(X1,X2,X3) | in(sK20(X1,X2,X3),succ(X2)), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c25, plain, ~X0(X1,X2,X3) | ordinal(sK21(X1,X3)), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c26, plain, ~X0(X1,X2,X3) | in(sK21(X1,X3),X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c27, plain, ~X0(X1,X2,X3) | sK21(X1,X3) = X3, inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c28, plain, ~X0(X1,X2,X3) | X3 = sK20(X1,X2,X3), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c31, plain, ~X0(X1) | sK25(X1) = sK23(X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c34, plain, ~X0(X1) | sK26(X1) = sK24(X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c35, plain, ~X0(X1) | sK24(X1) = sK22(X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c36, plain, ~X0(X1) | sK23(X1) = sK22(X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c37, plain, ~X0(X1) | sK24(X1) != sK23(X1), inference(clausification, [status(esa)], [s1_tarski__e8_6__wellord2__1])). % 45.88/6.87 cnf(c38, plain, ordinal(sK29), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c39, plain, in(sK31(X0),X0) | X1(sK28,sK29,X0,sK31(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c40, plain, ~in(sK31(X0),succ(sK29)) | X1(sK28,sK29,X0,sK31(X0)) | ~in(X2,sK28) | X2 != sK31(X0) | ~ordinal(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c41, plain, ~X0(X1,X2,X3,X4) | ~in(X4,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c42, plain, ~X0(X1,X2,X3,X4) | ordinal(sK33(X4,X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c43, plain, ~X0(X1,X2,X3,X4) | in(sK33(X4,X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c44, plain, ~X0(X1,X2,X3,X4) | sK33(X4,X1) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(c45, plain, ~X0(X1,X2,X3,X4) | in(X4,succ(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 45.88/6.87 cnf(d0, plain, ~in(X0,sK16(X1,sK29)) | 'Ts12'(X1,sK29,X0) | 'Ts13'(X1), inference(resolution, [status(thm)], [c22,c38])). % 45.88/6.87 cnf(d1, plain, 'Ts12'(X0,sK29,sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(resolution, [status(thm)], [d0,c39])). % 45.88/6.87 cnf(d2, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | in(sK21(X0,sK31(sK16(X0,sK29))),X0), inference(resolution, [status(thm)], [d1,c26])). % 45.88/6.87 cnf(d3, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | sK21(X0,sK31(sK16(X0,sK29))) = sK31(sK16(X0,sK29)), inference(resolution, [status(thm)], [d1,c27])). % 45.88/6.87 cnf(d4, plain, in(sK31(sK16(X0,sK29)),X0) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(superposition, [status(thm)], [d3,d2])). % 45.88/6.87 cnf(d5, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | in(sK20(X0,sK29,sK31(sK16(X0,sK29))),succ(sK29)), inference(resolution, [status(thm)], [d1,c24])). % 45.88/6.87 cnf(d6, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | sK31(sK16(X0,sK29)) = sK20(X0,sK29,sK31(sK16(X0,sK29))), inference(resolution, [status(thm)], [d1,c28])). % 45.88/6.87 cnf(d7, plain, in(sK31(sK16(X0,sK29)),succ(sK29)) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(superposition, [status(thm)], [d6,d5])). % 45.88/6.87 cnf(d8, plain, ~ordinal(sK31(X0)) | ~in(sK31(X0),sK28) | ~in(sK31(X0),succ(sK29)) | 'Ts27'(sK28,sK29,X0,sK31(X0)), inference(equality_resolution, [status(thm)], [c40])). % 45.88/6.87 cnf(d9, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | ordinal(sK21(X0,sK31(sK16(X0,sK29)))), inference(resolution, [status(thm)], [d1,c25])). % 45.88/6.87 cnf(d10, plain, ordinal(sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(superposition, [status(thm)], [d3,d9])). % 45.88/6.87 cnf(d11, plain, 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | ~in(sK31(sK16(X0,sK29)),succ(sK29)) | ~in(sK31(sK16(X0,sK29)),sK28) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(resolution, [status(thm)], [d10,d8])). % 45.88/6.87 cnf(d12, plain, ~in(sK31(sK16(X0,sK29)),sK28) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))) | 'Ts13'(X0) | 'Ts27'(sK28,sK29,sK16(X0,sK29),sK31(sK16(X0,sK29))), inference(resolution, [status(thm)], [d11,d7])). % 45.88/6.87 cnf(d13, plain, 'Ts13'(sK28) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))) | 'Ts13'(sK28) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(resolution, [status(thm)], [d12,d4])). % 45.88/6.87 cnf(d14, plain, 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))) | sK24(sK28) = sK22(sK28), inference(resolution, [status(thm)], [d13,c35])). % 45.88/6.87 cnf(d15, plain, 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))) | sK23(sK28) = sK22(sK28), inference(resolution, [status(thm)], [d13,c36])). % 45.88/6.87 cnf(d16, plain, sK24(sK28) = sK23(sK28) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(superposition, [status(thm)], [d15,d14])). % 45.88/6.87 cnf(d17, plain, sK23(sK28) != sK23(sK28) | ~'Ts13'(sK28) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(superposition, [status(thm)], [d16,c37])). % 45.88/6.87 cnf(d18, plain, ~'Ts13'(sK28) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(equality_resolution, [status(thm)], [d17])). % 45.88/6.87 cnf(d19, plain, 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))) | 'Ts27'(sK28,sK29,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(resolution, [status(thm)], [d18,d13])). % 45.88/6.87 cnf(d20, plain, sK33(sK31(sK16(sK28,sK29)),sK28) = sK31(sK16(sK28,sK29)), inference(resolution, [status(thm)], [d19,c44])). % 45.88/6.87 cnf(d21, plain, in(sK33(sK31(sK16(sK28,sK29)),sK28),sK28), inference(resolution, [status(thm)], [d19,c43])). % 45.88/6.87 cnf(d22, plain, in(sK31(sK16(sK28,sK29)),sK28), inference(demodulation, [status(thm)], [d21,d20])). % 45.88/6.87 cnf(d23, plain, X0 != X1 | ~ordinal(X2) | ~ordinal(X0) | ~in(X1,succ(X2)) | in(X1,sK16(X3,X2)) | ~in(X0,X3) | 'Ts13'(X3), inference(equality_resolution, [status(thm)], [c23])). % 45.88/6.87 cnf(d24, plain, ~ordinal(X0) | ~ordinal(X1) | ~in(X1,succ(X0)) | in(X1,sK16(X2,X0)) | ~in(X1,X2) | 'Ts13'(X2), inference(equality_resolution, [status(thm)], [d23])). % 45.88/6.87 cnf(d25, plain, ordinal(sK33(sK31(sK16(sK28,sK29)),sK28)), inference(resolution, [status(thm)], [d19,c42])). % 45.88/6.87 cnf(d26, plain, ordinal(sK31(sK16(sK28,sK29))), inference(demodulation, [status(thm)], [d25,d20])). % 45.88/6.87 cnf(d27, plain, ~ordinal(X0) | ~in(sK31(sK16(sK28,sK29)),X1) | ~in(sK31(sK16(sK28,sK29)),succ(X0)) | in(sK31(sK16(sK28,sK29)),sK16(X1,X0)) | 'Ts13'(X1), inference(resolution, [status(thm)], [d26,d24])). % 45.88/6.87 cnf(d28, plain, ~in(sK31(sK16(sK28,sK29)),X0) | ~in(sK31(sK16(sK28,sK29)),succ(sK29)) | in(sK31(sK16(sK28,sK29)),sK16(X0,sK29)) | 'Ts13'(X0), inference(resolution, [status(thm)], [d27,c38])). % 45.88/6.87 cnf(d29, plain, in(sK31(sK16(sK28,sK29)),succ(sK29)), inference(resolution, [status(thm)], [d19,c45])). % 45.88/6.87 cnf(d30, plain, ~in(sK31(sK16(sK28,sK29)),X0) | in(sK31(sK16(sK28,sK29)),sK16(X0,sK29)) | 'Ts13'(X0), inference(resolution, [status(thm)], [d29,d28])). % 45.88/6.87 cnf(d31, plain, in(sK31(sK16(sK28,sK29)),sK16(sK28,sK29)) | 'Ts13'(sK28), inference(resolution, [status(thm)], [d30,d22])). % 45.88/6.87 cnf(d32, plain, 'Ts13'(sK28) | ~'Ts27'(X0,X1,sK16(sK28,sK29),sK31(sK16(sK28,sK29))), inference(resolution, [status(thm)], [d31,c41])). % 45.88/6.87 cnf(d33, plain, 'Ts13'(sK28), inference(resolution, [status(thm)], [d32,d19])). % 45.88/6.87 cnf(d34, plain, sK25(sK28) = sK23(sK28), inference(resolution, [status(thm)], [d33,c31])). % 45.88/6.87 cnf(d35, plain, sK23(sK28) = sK22(sK28), inference(resolution, [status(thm)], [d33,c36])). % 45.88/6.87 cnf(d36, plain, sK25(sK28) = sK22(sK28), inference(demodulation, [status(thm)], [d35,d34])). % 45.88/6.87 cnf(d37, plain, sK26(sK28) = sK24(sK28), inference(resolution, [status(thm)], [d33,c34])). % 45.88/6.87 cnf(d38, plain, sK24(sK28) = sK22(sK28), inference(resolution, [status(thm)], [d33,c35])). % 45.88/6.87 cnf(d39, plain, sK26(sK28) = sK22(sK28), inference(demodulation, [status(thm)], [d38,d37])). % 45.88/6.87 cnf(d40, plain, sK26(sK28) = sK25(sK28), inference(demodulation, [status(thm)], [d39,d36])). % 45.88/6.87 cnf(d41, plain, sK26(sK28) != sK23(sK28) | ~'Ts13'(sK28), inference(superposition, [status(thm)], [d37,c37])). % 45.88/6.87 cnf(d42, plain, sK25(sK28) != sK23(sK28) | ~'Ts13'(sK28), inference(demodulation, [status(thm)], [d41,d40])). % 45.88/6.87 cnf(d43, plain, sK25(sK28) != sK25(sK28) | ~'Ts13'(sK28), inference(demodulation, [status(thm)], [d42,d34])). % 45.88/6.87 cnf(d44, plain, sK25(sK28) != sK25(sK28), inference(resolution, [status(thm)], [d33,d43])). % 45.88/6.87 cnf(d45, plain, $false, inference(equality_resolution, [status(thm)], [d44])). % 45.88/6.87 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------