%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC012+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 : n002.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 08:53:56 AM UTC 2026 % Result : Theorem 13.27s 4.75s % Output : CNFRefutation 13.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWC012+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.06/0.35 % Computer : n002.cluster.edu % 0.06/0.35 % Model : x86_64 x86_64 % 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.35 % Memory : 8046.5625MB % 0.06/0.35 % OS : Linux 6.8.0-71-generic % 0.06/0.35 % CPULimit : 300 % 0.06/0.35 % WCLimit : 300 % 0.06/0.35 % DateTime : Sat Sep 26 12:06:20 UTC 2026 % 0.06/0.35 % CPUTime : % 0.06/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.27/4.75 % SZS status Theorem for theBenchmark.p % 13.27/4.75 % SZS output start CNFRefutation for theBenchmark.p % 13.27/4.75 fof(ax17, axiom, ssList(nil)). % 13.27/4.75 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 13.27/4.75 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) & (app(app(X5,cons(X4,nil)),X6) = X1 & app(X5,X6) = X0))))))) | ! [X7] : ((ssItem(X7) => app(X2,cons(X7,nil)) != X3)))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 13.27/4.75 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) & (app(app(X5,cons(X4,nil)),X6) = X1 & app(X5,X6) = X0))))))) | ! [X7] : ((ssItem(X7) => app(X2,cons(X7,nil)) != X3)))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 13.27/4.75 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 13.27/4.75 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 13.27/4.75 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c217, plain, ~ssList(X0) | X1(X2,X3,X4,X5) | ~ssItem(X6) | app(X7,X0) != X2 | app(app(X7,cons(X6,nil)),X0) != X3 | ~ssList(X7), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c218, plain, X0(X1,X2,X3,X4) | ssItem(sK261(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(c219, plain, X0(X1,X2,X3,X4) | app(X3,cons(sK261(X3,X4),nil)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 13.27/4.75 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 13.27/4.75 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 13.27/4.75 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 13.27/4.75 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 13.27/4.75 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 13.27/4.75 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 13.27/4.75 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 13.27/4.75 cnf(d7, plain, app(sK254,nil) = sK254, inference(resolution, [status(thm)], [c194,c208])). % 13.27/4.75 cnf(d8, plain, app(X0,X1) != X2 | ~ssItem(X3) | ~ssList(X1) | ~ssList(X0) | 'Ts253'(X2,app(app(X0,cons(X3,nil)),X1),X4,X5), inference(equality_resolution, [status(thm)], [c217])). % 13.27/4.75 cnf(d9, plain, ~ssItem(X0) | ~ssList(X1) | ~ssList(X2) | 'Ts253'(app(X2,X1),app(app(X2,cons(X0,nil)),X1),X3,X4), inference(equality_resolution, [status(thm)], [d8])). % 13.27/4.75 cnf(d10, plain, app(sK254,cons(sK261(sK254,sK255),nil)) = sK255, inference(resolution, [status(thm)], [c219,d6])). % 13.27/4.75 cnf(d11, plain, 'Ts253'(app(sK254,X0),app(sK255,X0),X1,X2) | ~ssItem(sK261(sK254,sK255)) | ~ssList(sK254) | ~ssList(X0), inference(superposition, [status(thm)], [d10,d9])). % 13.27/4.75 cnf(d12, plain, ~ssItem(sK261(sK254,sK255)) | ~ssList(X0) | 'Ts253'(app(sK254,X0),app(sK255,X0),X1,X2), inference(resolution, [status(thm)], [c208,d11])). % 13.27/4.75 cnf(d13, plain, ssItem(sK261(sK254,sK255)), inference(resolution, [status(thm)], [c218,d6])). % 13.27/4.75 cnf(d14, plain, ~ssList(X0) | 'Ts253'(app(sK254,X0),app(sK255,X0),X1,X2), inference(resolution, [status(thm)], [d13,d12])). % 13.27/4.75 cnf(d15, plain, app(sK255,nil) = sK255, inference(resolution, [status(thm)], [c194,c209])). % 13.27/4.75 cnf(d16, plain, 'Ts253'(app(sK254,nil),sK255,X0,X1) | ~ssList(nil), inference(superposition, [status(thm)], [d15,d14])). % 13.27/4.75 cnf(d17, plain, ~ssList(nil) | 'Ts253'(sK254,sK255,X0,X1), inference(demodulation, [status(thm)], [d16,d7])). % 13.27/4.75 cnf(d18, plain, 'Ts253'(sK254,sK255,X0,X1), inference(resolution, [status(thm)], [c97,d17])). % 13.27/4.75 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d18,d6])). % 13.27/4.75 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------