%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU280+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 : 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 08:41:32 AM UTC 2026 % Result : Theorem 16.64s 7.59s % Output : CNFRefutation 16.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU280+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 % 0.12/5.38 % Computer : n005.cluster.edu % 0.12/5.38 % Model : x86_64 x86_64 % 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/5.38 % Memory : 8046.5625MB % 0.12/5.38 % OS : Linux 6.8.0-71-generic % 0.12/5.38 % CPULimit : 300 % 0.12/5.38 % WCLimit : 300 % 0.12/5.38 % DateTime : Sat Sep 26 09:04:22 UTC 2026 % 0.12/5.39 % CPUTime : % 0.12/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.64/7.59 % SZS status Theorem for theBenchmark.p % 16.64/7.59 % SZS output start CNFRefutation for theBenchmark.p % 16.64/7.59 fof(s1_tarski__e6_22__wellord2__1, axiom, ! [X0] : ((! [X1] : ! [X2] : ! [X3] : (((X1 = X2 & (ordinal(X2) & (X1 = X3 & ordinal(X3)))) => X2 = X3)) => ? [X1] : ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,X0) & (X3 = X2 & ordinal(X2))))))))). % 16.64/7.59 fof(s1_xboole_0__e6_22__wellord2, conjecture, ! [X0] : ? [X1] : ! [X2] : ((in(X2,X1) <=> (in(X2,X0) & ordinal(X2))))). % 16.64/7.59 fof(negated_conjecture, negated_conjecture, ~! [X0] : ? [X1] : ! [X2] : ((in(X2,X1) <=> (in(X2,X0) & ordinal(X2)))), inference(negate_conjecture, [status(cth)], [s1_xboole_0__e6_22__wellord2])). % 16.64/7.59 cnf(c7, plain, X0 | ~in(X1,sK7(X2)) | in(sK9(X2,X1),X2), inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c8, plain, X0 | ~in(X1,sK7(X2)) | sK9(X2,X1) = X1, inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c9, plain, X0 | ~in(X1,sK7(X2)) | ordinal(X1), inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c10, plain, ~ordinal(X0) | ~in(X1,X2) | in(X0,sK7(X2)) | X1 != X0 | X3, inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c11, plain, ~X0 | sK11 = sK12, inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c13, plain, ~X0 | sK11 = sK13, inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c15, plain, ~X0 | sK12 != sK13, inference(clausification, [status(esa)], [s1_tarski__e6_22__wellord2__1])). % 16.64/7.59 cnf(c17, plain, in(sK16(X0),X0) | in(sK16(X0),sK14), inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.59 cnf(c18, plain, in(sK16(X0),X0) | ordinal(sK16(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.59 cnf(c19, plain, ~in(sK16(X0),sK14) | ~ordinal(sK16(X0)) | ~in(sK16(X0),X0), inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.59 cnf(d0, plain, ~ordinal(X0) | in(X0,sK7(X1)) | ~in(X0,X1) | 'Ts5', inference(equality_resolution, [status(thm)], [c10])). % 16.64/7.59 cnf(d1, plain, ordinal(sK16(sK7(X0))) | 'Ts5' | ordinal(sK16(sK7(X0))), inference(resolution, [status(thm)], [c9,c18])). % 16.64/7.60 cnf(d2, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | 'Ts5' | in(sK16(sK7(X0)),sK14), inference(resolution, [status(thm)], [c8,c17])). % 16.64/7.60 cnf(d3, plain, ~ordinal(X0) | ~in(X0,X1) | 'Ts5' | sK9(X1,X0) = X0 | 'Ts5', inference(resolution, [status(thm)], [d0,c8])). % 16.64/7.60 cnf(d4, plain, sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)) | ~ordinal(sK16(sK7(X0))) | 'Ts5' | sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | 'Ts5', inference(resolution, [status(thm)], [d3,d2])). % 16.64/7.60 cnf(d5, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)) | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d4,d1])). % 16.64/7.60 cnf(d6, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)) | sK11 = sK12, inference(resolution, [status(thm)], [d5,c11])). % 16.64/7.60 cnf(d7, plain, sK16(sK7(sK14)) != sK16(sK7(sK14)) | sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)) | sK11 = sK12, inference(equality_factoring, [status(thm)], [d6])). % 16.64/7.60 cnf(d8, plain, sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)) | sK11 = sK12, inference(equality_resolution, [status(thm)], [d7])). % 16.64/7.60 cnf(d9, plain, in(sK16(sK7(sK14)),sK14) | ~in(sK16(sK7(sK14)),sK7(sK14)) | 'Ts5' | sK11 = sK12, inference(superposition, [status(thm)], [d8,c7])). % 16.64/7.60 cnf(d10, plain, sK11 = sK12 | in(sK16(sK7(sK14)),sK14) | 'Ts5' | in(sK16(sK7(sK14)),sK14), inference(resolution, [status(thm)], [d9,c17])). % 16.64/7.60 cnf(d11, plain, sK11 = sK12 | 'Ts5' | ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK7(sK14)), inference(resolution, [status(thm)], [d10,c19])). % 16.64/7.60 cnf(d12, plain, sK11 = sK12 | ~ordinal(sK16(sK7(sK14))) | 'Ts5' | ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK14) | 'Ts5', inference(resolution, [status(thm)], [d11,d0])). % 16.64/7.60 cnf(d13, plain, sK11 = sK12 | ~ordinal(sK16(sK7(sK14))) | 'Ts5' | sK11 = sK12 | 'Ts5', inference(resolution, [status(thm)], [d12,d10])). % 16.64/7.60 cnf(d14, plain, sK11 = sK12 | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d13,d1])). % 16.64/7.60 cnf(d15, plain, sK11 = sK12 | sK11 = sK12, inference(resolution, [status(thm)], [d14,c11])). % 16.64/7.60 cnf(d16, plain, sK12 = sK13 | ~'Ts5', inference(demodulation, [status(thm)], [c13,d15])). % 16.64/7.60 cnf(d17, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)) | sK11 = sK13, inference(resolution, [status(thm)], [d5,c13])). % 16.64/7.60 cnf(d18, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)) | sK12 = sK13, inference(demodulation, [status(thm)], [d17,d15])). % 16.64/7.60 cnf(d19, plain, sK16(sK7(sK14)) != sK16(sK7(sK14)) | sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)) | sK12 = sK13, inference(equality_factoring, [status(thm)], [d18])). % 16.64/7.60 cnf(d20, plain, sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)) | sK12 = sK13, inference(equality_resolution, [status(thm)], [d19])). % 16.64/7.60 cnf(d21, plain, in(sK16(sK7(sK14)),sK14) | ~in(sK16(sK7(sK14)),sK7(sK14)) | 'Ts5' | sK12 = sK13, inference(superposition, [status(thm)], [d20,c7])). % 16.64/7.60 cnf(d22, plain, sK12 = sK13 | in(sK16(sK7(sK14)),sK14) | 'Ts5' | in(sK16(sK7(sK14)),sK14), inference(resolution, [status(thm)], [d21,c17])). % 16.64/7.60 cnf(d23, plain, sK12 = sK13 | 'Ts5' | ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK7(sK14)), inference(resolution, [status(thm)], [d22,c19])). % 16.64/7.60 cnf(d24, plain, sK12 = sK13 | ~ordinal(sK16(sK7(sK14))) | 'Ts5' | ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK14) | 'Ts5', inference(resolution, [status(thm)], [d23,d0])). % 16.64/7.60 cnf(d25, plain, sK12 = sK13 | ~ordinal(sK16(sK7(sK14))) | 'Ts5' | sK12 = sK13 | 'Ts5', inference(resolution, [status(thm)], [d24,d22])). % 16.64/7.60 cnf(d26, plain, sK12 = sK13 | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d25,d1])). % 16.64/7.60 cnf(d27, plain, sK12 = sK13 | sK12 = sK13, inference(resolution, [status(thm)], [d26,d16])). % 16.64/7.60 cnf(d28, plain, ~'Ts5', inference(resolution, [status(thm)], [d27,c15])). % 16.64/7.60 cnf(d29, plain, ~ordinal(X0) | ~in(X0,X1) | in(X0,sK7(X1)), inference(resolution, [status(thm)], [d28,d0])). % 16.64/7.60 cnf(d30, plain, ~in(X0,sK7(X1)) | in(sK9(X1,X0),X1), inference(resolution, [status(thm)], [d28,c7])). % 16.64/7.60 cnf(d31, plain, sK9(X0,sK16(sK7(X0))) = sK16(sK7(X0)) | sK9(sK14,sK16(sK7(X0))) = sK16(sK7(X0)), inference(resolution, [status(thm)], [d28,d5])). % 16.64/7.60 cnf(d32, plain, sK16(sK7(sK14)) != sK16(sK7(sK14)) | sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)), inference(equality_factoring, [status(thm)], [d31])). % 16.64/7.60 cnf(d33, plain, sK9(sK14,sK16(sK7(sK14))) = sK16(sK7(sK14)), inference(equality_resolution, [status(thm)], [d32])). % 16.64/7.60 cnf(d34, plain, in(sK16(sK7(sK14)),sK14) | ~in(sK16(sK7(sK14)),sK7(sK14)), inference(superposition, [status(thm)], [d33,d30])). % 16.64/7.60 cnf(d35, plain, in(sK16(sK7(sK14)),sK14) | in(sK16(sK7(sK14)),sK14), inference(resolution, [status(thm)], [d34,c17])). % 16.64/7.60 cnf(d36, plain, ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK7(sK14)), inference(resolution, [status(thm)], [d35,c19])). % 16.64/7.60 cnf(d37, plain, ordinal(sK16(sK7(X0))), inference(resolution, [status(thm)], [d28,d1])). % 16.64/7.60 cnf(d38, plain, ~in(sK16(sK7(sK14)),sK7(sK14)), inference(resolution, [status(thm)], [d37,d36])). % 16.64/7.60 cnf(d39, plain, ~ordinal(sK16(sK7(sK14))) | ~in(sK16(sK7(sK14)),sK14), inference(resolution, [status(thm)], [d38,d29])). % 16.64/7.60 cnf(d40, plain, ~in(sK16(sK7(sK14)),sK14), inference(resolution, [status(thm)], [d37,d39])). % 16.64/7.60 cnf(d41, plain, $false, inference(resolution, [status(thm)], [d35,d40])). % 16.64/7.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------