%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC380+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 08:55:11 AM UTC 2026 % Result : Theorem 22.19s 8.60s % Output : CNFRefutation 22.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC380+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 % 0.12/5.38 % Computer : n018.cluster.edu % 0.12/5.38 % Model : x86_64 x86_64 % 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/5.38 % Memory : 8046.5625MB % 0.12/5.38 % OS : Linux 6.8.0-71-generic % 0.12/5.38 % CPULimit : 300 % 0.12/5.38 % WCLimit : 300 % 0.12/5.38 % DateTime : Sat Sep 26 12:57:59 UTC 2026 % 0.12/5.39 % CPUTime : % 0.12/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 22.19/8.60 % SZS status Theorem for theBenchmark.p % 22.19/8.60 % SZS output start CNFRefutation for theBenchmark.p % 22.19/8.60 fof(ax3, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => (memberP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(X2,cons(X1,X3)) = X0)))))))))). % 22.19/8.60 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 22.19/8.60 fof(ax17, axiom, ssList(nil)). % 22.19/8.60 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 22.19/8.60 fof(ax36, axiom, ! [X0] : ((ssItem(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => (memberP(app(X1,X2),X0) <=> (memberP(X1,X0) | memberP(X2,X0)))))))))). % 22.19/8.60 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) & (cons(X4,nil) = X0 & memberP(X1,X4)))) | ! [X5] : ((ssItem(X5) => ! [X6] : ((ssList(X6) => (cons(X5,nil) != X2 | app(cons(X5,nil),X6) != X3))))))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 22.19/8.60 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) & (cons(X4,nil) = X0 & memberP(X1,X4)))) | ! [X5] : ((ssItem(X5) => ! [X6] : ((ssList(X6) => (cons(X5,nil) != X2 | app(cons(X5,nil),X6) != X3))))))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 22.19/8.60 cnf(c8, plain, ~ssItem(X0) | ~ssList(X1) | memberP(X2,X0) | ~ssList(X2) | app(X1,cons(X0,X3)) != X2 | ~ssList(X3), inference(clausification, [status(esa)], [ax3])). % 22.19/8.60 cnf(c9, plain, ~ssList(X0) | ~singletonP(X0) | ssItem(sK11(X0)), inference(clausification, [status(esa)], [ax4])). % 22.19/8.60 cnf(c10, plain, ~ssList(X0) | ~singletonP(X0) | cons(sK11(X0),nil) = X0, inference(clausification, [status(esa)], [ax4])). % 22.19/8.60 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 22.19/8.60 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 22.19/8.60 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 22.19/8.60 cnf(c122, plain, ~ssItem(X0) | ~ssList(X1) | ~ssList(X2) | memberP(app(X2,X1),X0) | ~memberP(X2,X0), inference(clausification, [status(esa)], [ax36])). % 22.19/8.60 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c217, plain, X0(X1,X2,X3,X4) | ~ssItem(X5) | cons(X5,nil) != X1 | ~memberP(X2,X5), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c218, plain, X0(X1,X2,X3,X4) | ssItem(sK259(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c219, plain, X0(X1,X2,X3,X4) | ssList(sK260(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c220, plain, X0(X1,X2,X3,X4) | cons(sK259(X3,X4),nil) = X3, inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(c221, plain, X0(X1,X2,X3,X4) | app(cons(sK259(X3,X4),nil),sK260(X3,X4)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 22.19/8.60 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 22.19/8.60 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 22.19/8.60 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 22.19/8.60 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 22.19/8.60 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 22.19/8.60 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 22.19/8.60 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 22.19/8.60 cnf(d7, plain, ~ssItem(X0) | ~memberP(X1,X0) | 'Ts253'(cons(X0,nil),X1,X2,X3), inference(equality_resolution, [status(thm)], [c217])). % 22.19/8.60 cnf(d8, plain, cons(sK259(sK254,sK255),nil) = sK254, inference(resolution, [status(thm)], [c220,d6])). % 22.19/8.60 cnf(d9, plain, sK254 != X0 | ~ssItem(sK259(sK254,sK255)) | ~ssList(X0) | singletonP(X0), inference(superposition, [status(thm)], [d8,c11])). % 22.19/8.60 cnf(d10, plain, ssItem(sK259(sK254,sK255)), inference(resolution, [status(thm)], [c218,d6])). % 22.19/8.60 cnf(d11, plain, sK254 != X0 | ~ssList(X0) | singletonP(X0), inference(resolution, [status(thm)], [d10,d9])). % 22.19/8.60 cnf(d12, plain, ~ssList(sK254) | singletonP(sK254), inference(equality_resolution, [status(thm)], [d11])). % 22.19/8.60 cnf(d13, plain, singletonP(sK254), inference(resolution, [status(thm)], [c208,d12])). % 22.19/8.60 cnf(d14, plain, cons(sK11(sK254),nil) = sK254 | ~ssList(sK254), inference(resolution, [status(thm)], [d13,c10])). % 22.19/8.60 cnf(d15, plain, cons(sK11(sK254),nil) = sK254, inference(resolution, [status(thm)], [c208,d14])). % 22.19/8.60 cnf(d16, plain, 'Ts253'(sK254,X0,X1,X2) | ~ssItem(sK11(sK254)) | ~memberP(X0,sK11(sK254)), inference(superposition, [status(thm)], [d15,d7])). % 22.19/8.60 cnf(d17, plain, ~ssItem(sK11(sK254)) | ~memberP(sK255,sK11(sK254)), inference(resolution, [status(thm)], [d16,d6])). % 22.19/8.60 cnf(d18, plain, app(nil,sK254) = sK254, inference(resolution, [status(thm)], [c111,c208])). % 22.19/8.60 cnf(d19, plain, app(X0,sK254) != X1 | ~ssItem(sK11(sK254)) | memberP(X1,sK11(sK254)) | ~ssList(X1) | ~ssList(nil) | ~ssList(X0), inference(superposition, [status(thm)], [d15,c8])). % 22.19/8.60 cnf(d20, plain, ~ssItem(sK11(sK254)) | memberP(app(X0,sK254),sK11(sK254)) | ~ssList(app(X0,sK254)) | ~ssList(X0) | ~ssList(nil), inference(equality_resolution, [status(thm)], [d19])). % 22.19/8.60 cnf(d21, plain, ~ssItem(sK11(sK254)) | memberP(app(X0,sK254),sK11(sK254)) | ~ssList(X0) | ~ssList(app(X0,sK254)), inference(resolution, [status(thm)], [c97,d20])). % 22.19/8.60 cnf(d22, plain, memberP(sK254,sK11(sK254)) | ~ssItem(sK11(sK254)) | ~ssList(nil) | ~ssList(app(nil,sK254)), inference(superposition, [status(thm)], [d18,d21])). % 22.19/8.60 cnf(d23, plain, ~ssItem(sK11(sK254)) | memberP(sK254,sK11(sK254)) | ~ssList(sK254) | ~ssList(nil), inference(demodulation, [status(thm)], [d22,d18])). % 22.19/8.60 cnf(d24, plain, ~ssItem(sK11(sK254)) | memberP(sK254,sK11(sK254)) | ~ssList(nil), inference(resolution, [status(thm)], [c208,d23])). % 22.19/8.60 cnf(d25, plain, ~ssItem(sK11(sK254)) | memberP(sK254,sK11(sK254)), inference(resolution, [status(thm)], [c97,d24])). % 22.19/8.60 cnf(d26, plain, app(cons(sK259(sK254,sK255),nil),sK260(sK254,sK255)) = sK255, inference(resolution, [status(thm)], [c221,d6])). % 22.19/8.60 cnf(d27, plain, app(sK254,sK260(sK254,sK255)) = sK255, inference(demodulation, [status(thm)], [d26,d8])). % 22.19/8.60 cnf(d28, plain, memberP(sK255,X0) | ~ssItem(X0) | ~memberP(sK254,X0) | ~ssList(sK254) | ~ssList(sK260(sK254,sK255)), inference(superposition, [status(thm)], [d27,c122])). % 22.19/8.60 cnf(d29, plain, ~ssItem(X0) | ~memberP(sK254,X0) | memberP(sK255,X0) | ~ssList(sK260(sK254,sK255)), inference(resolution, [status(thm)], [c208,d28])). % 22.19/8.60 cnf(d30, plain, ssList(sK260(sK254,sK255)), inference(resolution, [status(thm)], [c219,d6])). % 22.19/8.60 cnf(d31, plain, ~ssItem(X0) | ~memberP(sK254,X0) | memberP(sK255,X0), inference(resolution, [status(thm)], [d30,d29])). % 22.19/8.60 cnf(d32, plain, ~ssItem(sK11(sK254)) | memberP(sK255,sK11(sK254)) | ~ssItem(sK11(sK254)), inference(resolution, [status(thm)], [d31,d25])). % 22.19/8.60 cnf(d33, plain, ~ssItem(sK11(sK254)) | ~ssItem(sK11(sK254)), inference(resolution, [status(thm)], [d32,d17])). % 22.19/8.60 cnf(d34, plain, ~ssList(sK254) | ~singletonP(sK254), inference(resolution, [status(thm)], [d33,c9])). % 22.19/8.60 cnf(d35, plain, ~singletonP(sK254), inference(resolution, [status(thm)], [c208,d34])). % 22.19/8.60 cnf(d36, plain, $false, inference(resolution, [status(thm)], [d13,d35])). % 22.19/8.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------