%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC039+1 : TPTP v9.3.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n008.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 08:54:02 AM UTC 2026 % Result : Theorem 19.17s 7.93s % Output : CNFRefutation 19.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWC039+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/5.54 % Computer : n008.cluster.edu % 0.09/5.54 % Model : x86_64 x86_64 % 0.09/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.54 % Memory : 8046.5625MB % 0.09/5.54 % OS : Linux 6.8.0-71-generic % 0.09/5.54 % CPULimit : 300 % 0.09/5.54 % WCLimit : 300 % 0.09/5.54 % DateTime : Sat Sep 26 12:08:00 UTC 2026 % 0.09/5.55 % CPUTime : % 0.09/5.55 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.17/7.93 % SZS status Theorem for theBenchmark.p % 19.17/7.93 % SZS output start CNFRefutation for theBenchmark.p % 19.17/7.93 fof(ax7, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (segmentP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(app(X2,X1),X3) = X0)))))))))). % 19.17/7.93 fof(ax58, axiom, ! [X0] : ((ssList(X0) => (segmentP(nil,X0) <=> nil = X0)))). % 19.17/7.93 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (nil != X1 | (X1 != X3 | (X0 != X2 | (nil = X0 | (! [X4] : ((ssItem(X4) => ! [X5] : ((ssList(X5) => ! [X6] : ((ssList(X6) => (cons(X4,nil) != X2 | (app(app(X5,X2),X6) != X3 | (? [X7] : ((ssItem(X7) & (memberP(X5,X7) & lt(X4,X7)))) | ? [X8] : ((ssItem(X8) & (memberP(X6,X8) & lt(X8,X4))))))))))))) & (nil != X3 | nil != X2))))))))))))))). % 19.17/7.93 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (nil != X1 | (X1 != X3 | (X0 != X2 | (nil = X0 | (! [X4] : ((ssItem(X4) => ! [X5] : ((ssList(X5) => ! [X6] : ((ssList(X6) => (cons(X4,nil) != X2 | (app(app(X5,X2),X6) != X3 | (? [X7] : ((ssItem(X7) & (memberP(X5,X7) & lt(X4,X7)))) | ? [X8] : ((ssItem(X8) & (memberP(X6,X8) & lt(X8,X4))))))))))))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 19.17/7.93 cnf(c21, plain, segmentP(X0,X1) | ~ssList(X1) | app(app(X2,X1),X3) != X0 | ~ssList(X3) | ~ssList(X0) | ~ssList(X2), inference(clausification, [status(esa)], [ax7])). % 19.17/7.93 cnf(c151, plain, ~ssList(X0) | ~segmentP(nil,X0) | nil = X0, inference(clausification, [status(esa)], [ax58])). % 19.17/7.93 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c212, plain, nil = sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c214, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c215, plain, nil != sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c217, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c219, plain, X0(X1,X2) | ssList(sK259(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c220, plain, X0(X1,X2) | ssList(sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(c222, plain, X0(X1,X2) | app(app(sK259(X1,X2),X1),sK260(X1,X2)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 19.17/7.93 cnf(d0, plain, nil = sK257, inference(demodulation, [status(thm)], [c213,c212])). % 19.17/7.93 cnf(d1, plain, nil = sK256 | ~'Ts253'(sK256,nil), inference(demodulation, [status(thm)], [c217,d0])). % 19.17/7.93 cnf(d2, plain, nil != sK256, inference(demodulation, [status(thm)], [c215,c214])). % 19.17/7.93 cnf(d3, plain, ~'Ts253'(sK256,nil), inference(resolution, [status(thm)], [d2,d1])). % 19.17/7.93 cnf(d4, plain, app(app(sK259(sK256,nil),sK256),sK260(sK256,nil)) = nil, inference(resolution, [status(thm)], [c222,d3])). % 19.17/7.93 cnf(d5, plain, nil != X0 | ~ssList(X0) | ~ssList(sK260(sK256,nil)) | ~ssList(sK256) | ~ssList(sK259(sK256,nil)) | segmentP(X0,sK256), inference(superposition, [status(thm)], [d4,c21])). % 19.17/7.93 cnf(d6, plain, nil != X0 | ~ssList(X0) | ~ssList(sK259(sK256,nil)) | ~ssList(sK260(sK256,nil)) | segmentP(X0,sK256), inference(resolution, [status(thm)], [c210,d5])). % 19.17/7.93 cnf(d7, plain, ~ssList(nil) | ~ssList(sK259(sK256,nil)) | ~ssList(sK260(sK256,nil)) | segmentP(nil,sK256), inference(equality_resolution, [status(thm)], [d6])). % 19.17/7.93 cnf(d8, plain, ssList(nil), inference(demodulation, [status(thm)], [c209,c212])). % 19.17/7.93 cnf(d9, plain, ~ssList(sK259(sK256,nil)) | ~ssList(sK260(sK256,nil)) | segmentP(nil,sK256), inference(resolution, [status(thm)], [d8,d7])). % 19.17/7.93 cnf(d10, plain, ~ssList(sK259(sK256,nil)) | segmentP(nil,sK256) | 'Ts253'(sK256,nil), inference(resolution, [status(thm)], [d9,c220])). % 19.17/7.93 cnf(d11, plain, ~ssList(sK259(sK256,nil)) | segmentP(nil,sK256), inference(resolution, [status(thm)], [d3,d10])). % 19.17/7.93 cnf(d12, plain, segmentP(nil,sK256) | 'Ts253'(sK256,nil), inference(resolution, [status(thm)], [d11,c219])). % 19.17/7.93 cnf(d13, plain, segmentP(nil,sK256), inference(resolution, [status(thm)], [d3,d12])). % 19.17/7.93 cnf(d14, plain, nil = sK256 | ~ssList(sK256), inference(resolution, [status(thm)], [c151,d13])). % 19.17/7.93 cnf(d15, plain, nil = sK256, inference(resolution, [status(thm)], [c210,d14])). % 19.17/7.93 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d2,d15])). % 19.17/7.93 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------