%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC098+1 : TPTP v9.3.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n017.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 08:54:15 AM UTC 2026 % Result : Theorem 27.21s 4.36s % Output : CNFRefutation 27.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC098+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.37 % Computer : n017.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 12:10:19 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 27.21/4.36 % SZS status Theorem for theBenchmark.p % 27.21/4.36 % SZS output start CNFRefutation for theBenchmark.p % 27.21/4.36 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & (cons(X4,nil) = X0 & (! [X5] : ((ssItem(X5) => (~memberP(X1,X5) | (~leq(X4,X5) | X4 = X5)))) & memberP(X1,X4))))) | ((nil = X1 & nil = X0) | (! [X6] : ((ssItem(X6) => (cons(X6,nil) != X2 | (~memberP(X3,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X3,X7) & leq(X6,X7))))))))) & (nil != X3 | nil != X2))))))))))))))). % 27.21/4.36 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & (cons(X4,nil) = X0 & (! [X5] : ((ssItem(X5) => (~memberP(X1,X5) | (~leq(X4,X5) | X4 = X5)))) & memberP(X1,X4))))) | ((nil = X1 & nil = X0) | (! [X6] : ((ssItem(X6) => (cons(X6,nil) != X2 | (~memberP(X3,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X3,X7) & leq(X6,X7))))))))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 27.21/4.36 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c214, plain, ~ssItem(X0) | cons(X0,nil) != sK254 | ssItem(sK259(X0)) | ~memberP(sK255,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c215, plain, ~ssItem(X0) | cons(X0,nil) != sK254 | memberP(sK255,sK259(X0)) | ~memberP(sK255,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c216, plain, ~ssItem(X0) | cons(X0,nil) != sK254 | leq(X0,sK259(X0)) | ~memberP(sK255,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c217, plain, ~ssItem(X0) | cons(X0,nil) != sK254 | X0 != sK259(X0) | ~memberP(sK255,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c218, plain, nil != sK255 | nil != sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c219, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c220, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c221, plain, X0(X1,X2) | ssItem(sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c222, plain, X0(X1,X2) | cons(sK260(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c223, plain, X0(X1,X2) | memberP(X2,sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(c224, plain, ~leq(sK260(X0,X1),X2) | sK260(X0,X1) = X2 | X3(X0,X1) | ~ssItem(X2) | ~memberP(X1,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 27.21/4.36 cnf(d0, plain, nil = sK254 | ~'Ts253'(sK256,sK257), inference(demodulation, [status(thm)], [c220,c213])). % 27.21/4.36 cnf(d1, plain, nil = sK254 | ~'Ts253'(sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 27.21/4.36 cnf(d2, plain, nil = sK254 | ~'Ts253'(sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 27.21/4.36 cnf(d3, plain, X0 != sK254 | ~ssItem(sK260(X0,X1)) | ssItem(sK259(sK260(X0,X1))) | ~memberP(sK255,sK260(X0,X1)) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c222,c214])). % 27.21/4.36 cnf(d4, plain, ssItem(sK259(sK260(sK254,X0))) | ~ssItem(sK260(sK254,X0)) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0), inference(equality_resolution, [status(thm)], [d3])). % 27.21/4.36 cnf(d5, plain, ssItem(sK259(sK260(sK254,sK255))) | ~ssItem(sK260(sK254,sK255)) | 'Ts253'(sK254,sK255) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d4,c223])). % 27.21/4.36 cnf(d6, plain, X0 != sK254 | ~ssItem(sK260(X0,X1)) | ~memberP(sK255,sK260(X0,X1)) | memberP(sK255,sK259(sK260(X0,X1))) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c222,c215])). % 27.21/4.36 cnf(d7, plain, ~ssItem(sK260(sK254,X0)) | memberP(sK255,sK259(sK260(sK254,X0))) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0), inference(equality_resolution, [status(thm)], [d6])). % 27.21/4.36 cnf(d8, plain, X0 != sK254 | sK260(X0,X1) != sK259(sK260(X0,X1)) | ~ssItem(sK260(X0,X1)) | ~memberP(sK255,sK260(X0,X1)) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c222,c217])). % 27.21/4.36 cnf(d9, plain, X0 != sK254 | ~ssItem(sK260(X0,X1)) | ~memberP(sK255,sK260(X0,X1)) | leq(sK260(X0,X1),sK259(sK260(X0,X1))) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c222,c216])). % 27.21/4.36 cnf(d10, plain, ~ssItem(sK260(sK254,X0)) | ~memberP(sK255,sK260(sK254,X0)) | leq(sK260(sK254,X0),sK259(sK260(sK254,X0))) | 'Ts253'(sK254,X0), inference(equality_resolution, [status(thm)], [d9])). % 27.21/4.36 cnf(d11, plain, ~ssItem(sK260(sK254,X0)) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0) | sK260(sK254,X0) = sK259(sK260(sK254,X0)) | ~ssItem(sK259(sK260(sK254,X0))) | ~memberP(X0,sK259(sK260(sK254,X0))) | 'Ts253'(sK254,X0), inference(resolution, [status(thm)], [d10,c224])). % 27.21/4.36 cnf(d12, plain, sK260(sK254,X0) != sK260(sK254,X0) | sK254 != sK254 | ~ssItem(sK260(sK254,X0)) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0) | ~ssItem(sK259(sK260(sK254,X0))) | ~ssItem(sK260(sK254,X0)) | ~memberP(X0,sK259(sK260(sK254,X0))) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0), inference(superposition, [status(thm)], [d11,d8])). % 27.21/4.36 cnf(d13, plain, sK254 != sK254 | ~ssItem(sK259(sK260(sK254,X0))) | ~ssItem(sK260(sK254,X0)) | ~memberP(X0,sK259(sK260(sK254,X0))) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0), inference(equality_resolution, [status(thm)], [d12])). % 27.21/4.36 cnf(d14, plain, ~ssItem(sK259(sK260(sK254,X0))) | ~ssItem(sK260(sK254,X0)) | ~memberP(X0,sK259(sK260(sK254,X0))) | ~memberP(sK255,sK260(sK254,X0)) | 'Ts253'(sK254,X0), inference(equality_resolution, [status(thm)], [d13])). % 27.21/4.36 cnf(d15, plain, ~ssItem(sK259(sK260(sK254,sK255))) | ~ssItem(sK260(sK254,sK255)) | ~memberP(sK255,sK260(sK254,sK255)) | 'Ts253'(sK254,sK255) | ~ssItem(sK260(sK254,sK255)) | ~memberP(sK255,sK260(sK254,sK255)) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d14,d7])). % 27.21/4.36 cnf(d16, plain, ~ssItem(sK259(sK260(sK254,sK255))) | ~ssItem(sK260(sK254,sK255)) | 'Ts253'(sK254,sK255) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d15,c223])). % 27.21/4.36 cnf(d17, plain, ~ssItem(sK260(sK254,sK255)) | 'Ts253'(sK254,sK255) | ~ssItem(sK260(sK254,sK255)) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d16,d5])). % 27.21/4.36 cnf(d18, plain, 'Ts253'(sK254,sK255) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d17,c221])). % 27.21/4.36 cnf(d19, plain, nil = sK254, inference(resolution, [status(thm)], [d18,d2])). % 27.21/4.36 cnf(d20, plain, nil = sK255 | ~'Ts253'(sK256,sK257), inference(demodulation, [status(thm)], [c219,c212])). % 27.21/4.36 cnf(d21, plain, nil = sK255 | ~'Ts253'(sK254,sK257), inference(demodulation, [status(thm)], [d20,c213])). % 27.21/4.36 cnf(d22, plain, nil = sK255 | ~'Ts253'(sK254,sK255), inference(demodulation, [status(thm)], [d21,c212])). % 27.21/4.36 cnf(d23, plain, nil = sK255, inference(resolution, [status(thm)], [d18,d22])). % 27.21/4.36 cnf(d24, plain, nil != sK254, inference(resolution, [status(thm)], [d23,c218])). % 27.21/4.36 cnf(d25, plain, nil != nil, inference(demodulation, [status(thm)], [d24,d19])). % 27.21/4.36 cnf(d26, plain, $false, inference(equality_resolution, [status(thm)], [d25])). % 27.21/4.36 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------