%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC384+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 : n018.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 08:55:12 AM UTC 2026 % Result : Theorem 20.63s 13.11s % Output : CNFRefutation 20.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC384+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 % 0.09/10.39 % Computer : n018.cluster.edu % 0.09/10.39 % Model : x86_64 x86_64 % 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/10.39 % Memory : 8046.5625MB % 0.09/10.39 % OS : Linux 6.8.0-71-generic % 0.09/10.39 % CPULimit : 300 % 0.09/10.39 % WCLimit : 300 % 0.09/10.39 % DateTime : Sat Sep 26 12:58:17 UTC 2026 % 0.09/10.39 % CPUTime : % 0.09/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 20.63/13.11 % SZS status Theorem for theBenchmark.p % 20.63/13.11 % SZS output start CNFRefutation for theBenchmark.p % 20.63/13.11 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 20.63/13.11 fof(ax7, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (segmentP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(app(X2,X1),X3) = X0)))))))))). % 20.63/13.11 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 20.63/13.11 fof(ax17, axiom, ssList(nil)). % 20.63/13.11 fof(ax39, axiom, ~singletonP(nil)). % 20.63/13.11 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | ((! [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)) | (singletonP(X0) & segmentP(X1,X0))))))))))))))). % 20.63/13.11 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | ((! [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)) | (singletonP(X0) & segmentP(X1,X0)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 20.63/13.11 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 20.63/13.11 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])). % 20.63/13.11 cnf(c94, plain, ~ssList(X0) | ~ssList(X1) | ~neq(X0,X1) | X0 != X1, inference(clausification, [status(esa)], [ax15])). % 20.63/13.11 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 20.63/13.11 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 20.63/13.11 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c211, plain, ssList(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c214, plain, neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c215, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c216, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c217, plain, ~singletonP(sK254) | ~segmentP(sK255,sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c218, plain, X0(X1,X2) | ssItem(sK258(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c219, plain, X0(X1,X2) | ssList(sK259(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c220, plain, X0(X1,X2) | ssList(sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c221, plain, X0(X1,X2) | cons(sK258(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(c222, plain, X0(X1,X2) | app(app(sK259(X1,X2),X1),sK260(X1,X2)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 20.63/13.11 cnf(d0, plain, cons(sK258(sK256,sK257),nil) = sK256 | nil = sK256, inference(resolution, [status(thm)], [c221,c216])). % 20.63/13.11 cnf(d1, plain, sK256 != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK256, inference(superposition, [status(thm)], [d0,c11])). % 20.63/13.11 cnf(d2, plain, nil = sK256 | ~ssItem(sK258(sK256,sK257)) | ~ssList(sK256) | singletonP(sK256), inference(equality_resolution, [status(thm)], [d1])). % 20.63/13.11 cnf(d3, plain, nil = sK256 | ~ssItem(sK258(sK256,sK257)) | singletonP(sK256), inference(resolution, [status(thm)], [c210,d2])). % 20.63/13.11 cnf(d4, plain, nil = sK256 | singletonP(sK256) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d3,c218])). % 20.63/13.11 cnf(d5, plain, nil = sK256 | singletonP(sK256) | nil = sK256, inference(resolution, [status(thm)], [d4,c216])). % 20.63/13.11 cnf(d6, plain, ~singletonP(sK256) | ~segmentP(sK255,sK254), inference(demodulation, [status(thm)], [c217,c213])). % 20.63/13.11 cnf(d7, plain, ~singletonP(sK256) | ~segmentP(sK257,sK254), inference(demodulation, [status(thm)], [d6,c212])). % 20.63/13.11 cnf(d8, plain, ~singletonP(sK256) | ~segmentP(sK257,sK256), inference(demodulation, [status(thm)], [d7,c213])). % 20.63/13.11 cnf(d9, plain, app(app(sK259(sK256,sK257),sK256),sK260(sK256,sK257)) = sK257 | nil = sK256, inference(resolution, [status(thm)], [c222,c216])). % 20.63/13.11 cnf(d10, plain, sK257 != X0 | ~ssList(X0) | ~ssList(sK260(sK256,sK257)) | ~ssList(sK256) | ~ssList(sK259(sK256,sK257)) | segmentP(X0,sK256) | nil = sK256, inference(superposition, [status(thm)], [d9,c21])). % 20.63/13.11 cnf(d11, plain, nil = sK256 | sK257 != X0 | ~ssList(X0) | ~ssList(sK259(sK256,sK257)) | ~ssList(sK260(sK256,sK257)) | segmentP(X0,sK256), inference(resolution, [status(thm)], [c210,d10])). % 20.63/13.11 cnf(d12, plain, nil = sK256 | ~ssList(sK257) | ~ssList(sK259(sK256,sK257)) | ~ssList(sK260(sK256,sK257)) | segmentP(sK257,sK256), inference(equality_resolution, [status(thm)], [d11])). % 20.63/13.11 cnf(d13, plain, nil = sK256 | ~ssList(sK259(sK256,sK257)) | ~ssList(sK260(sK256,sK257)) | segmentP(sK257,sK256), inference(resolution, [status(thm)], [c211,d12])). % 20.63/13.11 cnf(d14, plain, nil = sK256 | ~ssList(sK259(sK256,sK257)) | segmentP(sK257,sK256) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d13,c220])). % 20.63/13.11 cnf(d15, plain, nil = sK256 | segmentP(sK257,sK256) | 'Ts253'(sK256,sK257) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d14,c219])). % 20.63/13.11 cnf(d16, plain, nil = sK256 | segmentP(sK257,sK256) | nil = sK256, inference(resolution, [status(thm)], [d15,c216])). % 20.63/13.11 cnf(d17, plain, nil = sK256 | ~singletonP(sK256), inference(resolution, [status(thm)], [d16,d8])). % 20.63/13.11 cnf(d18, plain, nil = sK256 | nil = sK256, inference(resolution, [status(thm)], [d17,d5])). % 20.63/13.11 cnf(d19, plain, cons(sK258(sK256,sK257),nil) = sK256 | nil = sK257, inference(resolution, [status(thm)], [c221,c215])). % 20.63/13.11 cnf(d20, plain, sK256 != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK257, inference(superposition, [status(thm)], [d19,c11])). % 20.63/13.11 cnf(d21, plain, nil = sK257 | ~ssItem(sK258(sK256,sK257)) | ~ssList(sK256) | singletonP(sK256), inference(equality_resolution, [status(thm)], [d20])). % 20.63/13.11 cnf(d22, plain, nil = sK257 | ~ssItem(sK258(sK256,sK257)) | singletonP(sK256), inference(resolution, [status(thm)], [c210,d21])). % 20.63/13.11 cnf(d23, plain, nil = sK257 | singletonP(sK256) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d22,c218])). % 20.63/13.11 cnf(d24, plain, nil = sK257 | singletonP(sK256) | nil = sK257, inference(resolution, [status(thm)], [d23,c215])). % 20.63/13.11 cnf(d25, plain, nil = sK257 | singletonP(nil), inference(demodulation, [status(thm)], [d24,d18])). % 20.63/13.11 cnf(d26, plain, nil = sK257, inference(resolution, [status(thm)], [c128,d25])). % 20.63/13.11 cnf(d27, plain, neq(sK257,nil), inference(demodulation, [status(thm)], [c214,c212])). % 20.63/13.11 cnf(d28, plain, neq(nil,nil), inference(demodulation, [status(thm)], [d27,d26])). % 20.63/13.11 cnf(d29, plain, ~neq(X0,X0) | ~ssList(X0) | ~ssList(X0), inference(equality_resolution, [status(thm)], [c94])). % 20.63/13.11 cnf(d30, plain, ~ssList(nil), inference(resolution, [status(thm)], [d29,d28])). % 20.63/13.11 cnf(d31, plain, $false, inference(resolution, [status(thm)], [c97,d30])). % 20.63/13.11 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------