%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC364+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 : 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 08:55:07 AM UTC 2026 % Result : Theorem 8.26s 9.63s % Output : CNFRefutation 8.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : SWC364+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.16/5.44 % Computer : n018.cluster.edu % 0.16/5.44 % Model : x86_64 x86_64 % 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/5.44 % Memory : 8046.5625MB % 0.16/5.44 % OS : Linux 6.8.0-71-generic % 0.16/5.44 % CPULimit : 300 % 0.16/5.44 % WCLimit : 300 % 0.16/5.44 % DateTime : Sat Sep 26 12:55:27 UTC 2026 % 0.16/5.44 % CPUTime : % 0.16/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.26/9.63 % SZS status Theorem for theBenchmark.p % 8.26/9.63 % SZS output start CNFRefutation for theBenchmark.p % 8.26/9.63 fof(ax7, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (segmentP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(app(X2,X1),X3) = X0)))))))))). % 8.26/9.63 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 8.26/9.63 fof(ax17, axiom, ssList(nil)). % 8.26/9.63 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 8.26/9.63 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) => app(cons(X4,nil),X2) != X3)) | segmentP(X1,X0))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 8.26/9.63 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) => app(cons(X4,nil),X2) != X3)) | segmentP(X1,X0))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 8.26/9.63 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])). % 8.26/9.63 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 8.26/9.63 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 8.26/9.63 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 8.26/9.63 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c217, plain, X0(X1,X2,X3,X4) | ssItem(sK258(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c218, plain, X0(X1,X2,X3,X4) | app(cons(sK258(X3,X4),nil),X3) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(c219, plain, X0(X1,X2,X3,X4) | ~segmentP(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 8.26/9.63 cnf(d0, plain, app(sK255,nil) = sK255, inference(resolution, [status(thm)], [c194,c209])). % 8.26/9.63 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 8.26/9.63 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d1,c213])). % 8.26/9.63 cnf(d3, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d2,c212])). % 8.26/9.63 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 8.26/9.63 cnf(d5, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d4,c212])). % 8.26/9.63 cnf(d6, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d5])). % 8.26/9.63 cnf(d7, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d6,d3])). % 8.26/9.63 cnf(d8, plain, app(cons(sK258(sK254,sK255),nil),sK254) = sK255, inference(resolution, [status(thm)], [c218,d7])). % 8.26/9.63 cnf(d9, plain, app(sK255,X0) != X1 | ~ssList(X1) | ~ssList(X0) | ~ssList(sK254) | ~ssList(cons(sK258(sK254,sK255),nil)) | segmentP(X1,sK254), inference(superposition, [status(thm)], [d8,c21])). % 8.26/9.63 cnf(d10, plain, app(sK255,X0) != X1 | ~ssList(X1) | ~ssList(X0) | ~ssList(cons(sK258(sK254,sK255),nil)) | segmentP(X1,sK254), inference(resolution, [status(thm)], [c208,d9])). % 8.26/9.63 cnf(d11, plain, ~ssList(app(sK255,X0)) | ~ssList(X0) | ~ssList(cons(sK258(sK254,sK255),nil)) | segmentP(app(sK255,X0),sK254), inference(equality_resolution, [status(thm)], [d10])). % 8.26/9.63 cnf(d12, plain, ~ssItem(sK258(sK254,sK255)) | ~ssList(nil) | ~ssList(X0) | ~ssList(app(sK255,X0)) | segmentP(app(sK255,X0),sK254), inference(resolution, [status(thm)], [c96,d11])). % 8.26/9.63 cnf(d13, plain, ssItem(sK258(sK254,sK255)), inference(resolution, [status(thm)], [c217,d7])). % 8.26/9.63 cnf(d14, plain, ~ssList(X0) | ~ssList(app(sK255,X0)) | ~ssList(nil) | segmentP(app(sK255,X0),sK254), inference(resolution, [status(thm)], [d13,d12])). % 8.26/9.63 cnf(d15, plain, ~ssList(X0) | ~ssList(app(sK255,X0)) | segmentP(app(sK255,X0),sK254), inference(resolution, [status(thm)], [c97,d14])). % 8.26/9.63 cnf(d16, plain, segmentP(sK255,sK254) | ~ssList(nil) | ~ssList(app(sK255,nil)), inference(superposition, [status(thm)], [d0,d15])). % 8.26/9.63 cnf(d17, plain, ~ssList(sK255) | ~ssList(nil) | segmentP(sK255,sK254), inference(demodulation, [status(thm)], [d16,d0])). % 8.26/9.63 cnf(d18, plain, ~ssList(nil) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d17])). % 8.26/9.63 cnf(d19, plain, ~neq(sK255,nil) | ~segmentP(sK255,sK254), inference(resolution, [status(thm)], [d3,c219])). % 8.26/9.63 cnf(d20, plain, ~segmentP(sK255,sK254), inference(resolution, [status(thm)], [d6,d19])). % 8.26/9.63 cnf(d21, plain, ~ssList(nil), inference(resolution, [status(thm)], [d20,d18])). % 8.26/9.63 cnf(d22, plain, $false, inference(resolution, [status(thm)], [c97,d21])). % 8.26/9.63 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------