%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC106+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 08:54:17 AM UTC 2026 % Result : Theorem 9.87s 4.92s % Output : CNFRefutation 9.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC106+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 % 0.09/0.36 % Computer : n017.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 12:11:20 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 9.87/4.92 % SZS status Theorem for theBenchmark.p % 9.87/4.92 % SZS output start CNFRefutation for theBenchmark.p % 9.87/4.92 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 9.87/4.92 fof(ax6, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (rearsegP(X0,X1) <=> ? [X2] : ((ssList(X2) & app(X2,X1) = X0)))))))). % 9.87/4.92 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 9.87/4.92 fof(ax17, axiom, ssList(nil)). % 9.87/4.92 fof(ax39, axiom, ~singletonP(nil)). % 9.87/4.92 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) => (cons(X4,nil) != X2 | app(X5,cons(X4,nil)) != X3))))) | (neq(X0,nil) & rearsegP(X1,X0)))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 9.87/4.92 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) => (cons(X4,nil) != X2 | app(X5,cons(X4,nil)) != X3))))) | (neq(X0,nil) & rearsegP(X1,X0)))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 9.87/4.92 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 9.87/4.92 cnf(c17, plain, ~ssList(X0) | rearsegP(X1,X2) | ~ssList(X1) | ~ssList(X2) | app(X0,X2) != X1, inference(clausification, [status(esa)], [ax6])). % 9.87/4.92 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 9.87/4.92 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 9.87/4.92 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 9.87/4.92 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c217, plain, X0(X1,X2,X3,X4) | ssItem(sK258(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c218, plain, X0(X1,X2,X3,X4) | ssList(sK259(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c219, plain, X0(X1,X2,X3,X4) | cons(sK258(X3,X4),nil) = X3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c220, plain, X0(X1,X2,X3,X4) | app(sK259(X3,X4),cons(sK258(X3,X4),nil)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(c221, plain, X0(X1,X2,X3,X4) | ~neq(X1,nil) | ~rearsegP(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 9.87/4.92 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 9.87/4.92 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 9.87/4.92 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 9.87/4.92 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 9.87/4.92 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 9.87/4.92 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 9.87/4.92 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 9.87/4.92 cnf(d7, plain, ~neq(sK254,nil) | ~rearsegP(sK255,sK254), inference(resolution, [status(thm)], [c221,d6])). % 9.87/4.92 cnf(d8, plain, cons(sK258(sK254,sK255),nil) = sK254, inference(resolution, [status(thm)], [c219,d6])). % 9.87/4.92 cnf(d9, plain, app(sK259(sK254,sK255),cons(sK258(sK254,sK255),nil)) = sK255, inference(resolution, [status(thm)], [c220,d6])). % 9.87/4.92 cnf(d10, plain, app(sK259(sK254,sK255),sK254) = sK255, inference(demodulation, [status(thm)], [d9,d8])). % 9.87/4.92 cnf(d11, plain, sK255 != X0 | ~ssList(sK259(sK254,sK255)) | ~ssList(X0) | ~ssList(sK254) | rearsegP(X0,sK254), inference(superposition, [status(thm)], [d10,c17])). % 9.87/4.92 cnf(d12, plain, sK255 != X0 | ~ssList(X0) | ~ssList(sK259(sK254,sK255)) | rearsegP(X0,sK254), inference(resolution, [status(thm)], [c208,d11])). % 9.87/4.92 cnf(d13, plain, ssList(sK259(sK254,sK255)), inference(resolution, [status(thm)], [c218,d6])). % 9.87/4.92 cnf(d14, plain, sK255 != X0 | ~ssList(X0) | rearsegP(X0,sK254), inference(resolution, [status(thm)], [d13,d12])). % 9.87/4.92 cnf(d15, plain, ~ssList(sK255) | rearsegP(sK255,sK254), inference(equality_resolution, [status(thm)], [d14])). % 9.87/4.92 cnf(d16, plain, rearsegP(sK255,sK254), inference(resolution, [status(thm)], [c209,d15])). % 9.87/4.92 cnf(d17, plain, ~neq(sK254,nil), inference(resolution, [status(thm)], [d16,d7])). % 9.87/4.92 cnf(d18, plain, sK254 = nil | ~ssList(nil) | ~ssList(sK254), inference(resolution, [status(thm)], [c95,d17])). % 9.87/4.92 cnf(d19, plain, sK254 = nil | ~ssList(nil), inference(resolution, [status(thm)], [c208,d18])). % 9.87/4.92 cnf(d20, plain, sK254 = nil, inference(resolution, [status(thm)], [c97,d19])). % 9.87/4.92 cnf(d21, plain, sK254 != X0 | ~ssItem(sK258(sK254,sK255)) | ~ssList(X0) | singletonP(X0), inference(superposition, [status(thm)], [d8,c11])). % 9.87/4.92 cnf(d22, plain, ssItem(sK258(sK254,sK255)), inference(resolution, [status(thm)], [c217,d6])). % 9.87/4.92 cnf(d23, plain, sK254 != X0 | ~ssList(X0) | singletonP(X0), inference(resolution, [status(thm)], [d22,d21])). % 9.87/4.92 cnf(d24, plain, ~ssList(sK254) | singletonP(sK254), inference(equality_resolution, [status(thm)], [d23])). % 9.87/4.92 cnf(d25, plain, singletonP(sK254), inference(resolution, [status(thm)], [c208,d24])). % 9.87/4.92 cnf(d26, plain, singletonP(nil), inference(demodulation, [status(thm)], [d25,d20])). % 9.87/4.92 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c128,d26])). % 9.87/4.92 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------