%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC027+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 : n020.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 08:53:59 AM UTC 2026 % Result : Theorem 16.23s 17.84s % Output : CNFRefutation 16.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : SWC027+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/15.44 % Computer : n020.cluster.edu % 0.12/15.44 % Model : x86_64 x86_64 % 0.12/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/15.44 % Memory : 8046.5625MB % 0.12/15.44 % OS : Linux 6.8.0-71-generic % 0.12/15.44 % CPULimit : 300 % 0.12/15.44 % WCLimit : 300 % 0.12/15.44 % DateTime : Sat Sep 26 12:06:20 UTC 2026 % 0.12/15.44 % CPUTime : % 0.12/15.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.23/17.84 % SZS status Theorem for theBenchmark.p % 16.23/17.84 % SZS output start CNFRefutation for theBenchmark.p % 16.23/17.84 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 16.23/17.84 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 16.23/17.84 fof(ax39, axiom, ~singletonP(nil)). % 16.23/17.84 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) != X2 | (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X4,X5))))))))) & (nil != X3 | nil != X2)) | ((nil != X1 | nil = X0) & (nil != X0 | nil = X1)))))))))))))). % 16.23/17.84 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) != X2 | (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X4,X5))))))))) & (nil != X3 | nil != X2)) | ((nil != X1 | nil = X0) & (nil != X0 | nil = X1))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 16.23/17.84 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 16.23/17.84 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 16.23/17.84 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 16.23/17.84 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c214, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c215, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c216, plain, nil = sK255 | nil = sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c219, plain, nil != sK254 | nil != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c220, plain, X0(X1,X2) | ssItem(sK258(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c221, plain, X0(X1,X2) | cons(sK258(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(c222, plain, X0(X1,X2) | memberP(X2,sK258(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.23/17.84 cnf(d0, plain, nil = sK254 | ~'Ts253'(sK256,sK257), inference(demodulation, [status(thm)], [c215,c213])). % 16.23/17.84 cnf(d1, plain, nil = sK254 | ~'Ts253'(sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 16.23/17.84 cnf(d2, plain, nil = sK254 | ~'Ts253'(sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 16.23/17.84 cnf(d3, plain, ~'Ts253'(sK254,nil) | nil = sK254 | nil = sK254, inference(superposition, [status(thm)], [c216,d2])). % 16.23/17.84 cnf(d4, plain, ~ssItem(sK258(X0,nil)) | 'Ts253'(X0,nil), inference(resolution, [status(thm)], [c127,c222])). % 16.23/17.84 cnf(d5, plain, 'Ts253'(X0,nil) | 'Ts253'(X0,nil), inference(resolution, [status(thm)], [d4,c220])). % 16.23/17.84 cnf(d6, plain, nil = sK254, inference(resolution, [status(thm)], [d5,d3])). % 16.23/17.84 cnf(d7, plain, nil = sK255 | ~'Ts253'(sK256,sK257), inference(demodulation, [status(thm)], [c214,c212])). % 16.23/17.84 cnf(d8, plain, nil = sK255 | ~'Ts253'(sK254,sK257), inference(demodulation, [status(thm)], [d7,c213])). % 16.23/17.84 cnf(d9, plain, nil = sK255 | ~'Ts253'(sK254,sK255), inference(demodulation, [status(thm)], [d8,c212])). % 16.23/17.84 cnf(d10, plain, cons(sK258(sK254,sK255),nil) = sK254 | nil = sK255, inference(resolution, [status(thm)], [c221,d9])). % 16.23/17.84 cnf(d11, plain, sK254 != X0 | ~ssItem(sK258(sK254,sK255)) | ~ssList(X0) | singletonP(X0) | nil = sK255, inference(superposition, [status(thm)], [d10,c11])). % 16.23/17.84 cnf(d12, plain, nil = sK255 | ~ssItem(sK258(sK254,sK255)) | ~ssList(sK254) | singletonP(sK254), inference(equality_resolution, [status(thm)], [d11])). % 16.23/17.84 cnf(d13, plain, nil = sK255 | ~ssItem(sK258(sK254,sK255)) | singletonP(sK254), inference(resolution, [status(thm)], [c208,d12])). % 16.23/17.84 cnf(d14, plain, nil = sK255 | singletonP(sK254) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d13,c220])). % 16.23/17.84 cnf(d15, plain, nil = sK255 | singletonP(sK254) | nil = sK255, inference(resolution, [status(thm)], [d14,d9])). % 16.23/17.84 cnf(d16, plain, nil = sK255 | singletonP(nil), inference(demodulation, [status(thm)], [d15,d6])). % 16.23/17.84 cnf(d17, plain, nil = sK255, inference(resolution, [status(thm)], [c128,d16])). % 16.23/17.84 cnf(d18, plain, nil != sK255, inference(resolution, [status(thm)], [d6,c219])). % 16.23/17.84 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d18,d17])). % 16.23/17.84 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------