%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC413+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 08:55:18 AM UTC 2026 % Result : Theorem 32.36s 4.46s % Output : CNFRefutation 32.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC413+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n018.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.37 % CPULimit : 300 % 0.08/0.37 % WCLimit : 300 % 0.08/0.37 % DateTime : Sat Sep 26 13:02:09 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 32.36/4.46 % SZS status Theorem for theBenchmark.p % 32.36/4.46 % SZS output start CNFRefutation for theBenchmark.p % 32.36/4.46 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | ((? [X4] : ((ssItem(X4) & ? [X5] : ((ssItem(X5) & ? [X6] : ((ssList(X6) & (app(app(cons(X4,nil),cons(X5,nil)),X6) = X1 & app(app(cons(X5,nil),cons(X4,nil)),X6) = X0))))))) | (! [X7] : ((ssItem(X7) => ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1)))))) | ! [X10] : ((ssItem(X10) => ! [X11] : ((ssItem(X11) => ! [X12] : ((ssList(X12) => (app(app(cons(X10,nil),cons(X11,nil)),X12) != X3 | app(app(cons(X11,nil),cons(X10,nil)),X12) != X2))))))))) & (? [X13] : ((ssItem(X13) & ? [X14] : ((ssItem(X14) & ? [X15] : ((ssList(X15) & app(app(cons(X13,nil),cons(X14,nil)),X15) = X3)))))) | ! [X7] : ((ssItem(X7) => ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1))))))))))))))))))). % 32.36/4.46 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | ((? [X4] : ((ssItem(X4) & ? [X5] : ((ssItem(X5) & ? [X6] : ((ssList(X6) & (app(app(cons(X4,nil),cons(X5,nil)),X6) = X1 & app(app(cons(X5,nil),cons(X4,nil)),X6) = X0))))))) | (! [X7] : ((ssItem(X7) => ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1)))))) | ! [X10] : ((ssItem(X10) => ! [X11] : ((ssItem(X11) => ! [X12] : ((ssList(X12) => (app(app(cons(X10,nil),cons(X11,nil)),X12) != X3 | app(app(cons(X11,nil),cons(X10,nil)),X12) != X2))))))))) & (? [X13] : ((ssItem(X13) & ? [X14] : ((ssItem(X14) & ? [X15] : ((ssList(X15) & app(app(cons(X13,nil),cons(X14,nil)),X15) = X3)))))) | ! [X7] : ((ssItem(X7) => ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1)))))))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 32.36/4.46 cnf(c212, plain, sK256 = sK258, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c214, plain, ~X0(sK255,sK256,sK257,sK258) | ~X1(sK256,sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c215, plain, ~ssItem(X0) | ~ssItem(X1) | X2(X3,X4,X5,X6) | ~ssList(X7) | app(app(cons(X0,nil),cons(X1,nil)),X7) != X4 | app(app(cons(X1,nil),cons(X0,nil)),X7) != X3, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c216, plain, X0(X1,X2,X3,X4) | ssItem(sK262(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c217, plain, X0(X1,X2,X3,X4) | ssItem(sK263(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c218, plain, X0(X1,X2,X3,X4) | ssList(sK264(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c219, plain, X0(X1,X2,X3,X4) | app(app(cons(sK262(X2),nil),cons(sK263(X2),nil)),sK264(X2)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c220, plain, X0(X1,X2,X3,X4) | ssItem(sK265(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c221, plain, X0(X1,X2,X3,X4) | ssItem(sK266(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c222, plain, X0(X1,X2,X3,X4) | ssList(sK267(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c223, plain, X0(X1,X2,X3,X4) | app(app(cons(sK265(X3,X4),nil),cons(sK266(X3,X4),nil)),sK267(X3,X4)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c224, plain, X0(X1,X2,X3,X4) | app(app(cons(sK266(X3,X4),nil),cons(sK265(X3,X4),nil)),sK267(X3,X4)) = X3, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c225, plain, ~ssList(X0) | X1(X2,X3) | ~ssItem(X4) | ~ssItem(X5) | app(app(cons(X5,nil),cons(X4,nil)),X0) != X3, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c226, plain, X0(X1,X2) | ssItem(sK271(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c227, plain, X0(X1,X2) | ssItem(sK272(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c228, plain, X0(X1,X2) | ssList(sK273(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(c229, plain, X0(X1,X2) | app(app(cons(sK271(X1),nil),cons(sK272(X1),nil)),sK273(X1)) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 32.36/4.46 cnf(d0, plain, ~'Ts253'(sK255,sK256,sK255,sK258) | ~'Ts254'(sK256,sK258), inference(demodulation, [status(thm)], [c214,c213])). % 32.36/4.46 cnf(d1, plain, ~'Ts253'(sK255,sK256,sK255,sK256) | ~'Ts254'(sK256,sK258), inference(demodulation, [status(thm)], [d0,c212])). % 32.36/4.46 cnf(d2, plain, ~'Ts253'(sK255,sK256,sK255,sK256) | ~'Ts254'(sK256,sK256), inference(demodulation, [status(thm)], [d1,c212])). % 32.36/4.46 cnf(d3, plain, ssItem(sK265(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c220,d2])). % 32.36/4.46 cnf(d4, plain, ssItem(sK266(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c221,d2])). % 32.36/4.46 cnf(d5, plain, ssList(sK267(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c222,d2])). % 32.36/4.46 cnf(d6, plain, app(app(cons(X0,nil),cons(X1,nil)),X2) != X3 | ~ssItem(X0) | ~ssItem(X1) | ~ssList(X2) | 'Ts253'(app(app(cons(X1,nil),cons(X0,nil)),X2),X3,X4,X5), inference(equality_resolution, [status(thm)], [c215])). % 32.36/4.46 cnf(d7, plain, ~ssItem(X0) | ~ssItem(X1) | ~ssList(X2) | 'Ts253'(app(app(cons(X0,nil),cons(X1,nil)),X2),app(app(cons(X1,nil),cons(X0,nil)),X2),X3,X4), inference(equality_resolution, [status(thm)], [d6])). % 32.36/4.46 cnf(d8, plain, 'Ts253'(X0,app(app(cons(sK265(X0,X1),nil),cons(sK266(X0,X1),nil)),sK267(X0,X1)),X2,X3) | ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X4,X5,X0,X1), inference(superposition, [status(thm)], [c224,d7])). % 32.36/4.46 cnf(d9, plain, 'Ts253'(X0,X1,X2,X3) | ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X4,X5,X0,X1) | 'Ts253'(X6,X7,X0,X1), inference(superposition, [status(thm)], [c223,d8])). % 32.36/4.46 cnf(d10, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~ssList(sK267(sK255,sK256)) | 'Ts253'(X0,X1,sK255,sK256) | 'Ts253'(X2,X3,sK255,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d9,d2])). % 32.36/4.46 cnf(d11, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~ssList(sK267(sK255,sK256)) | 'Ts253'(X0,X1,sK255,sK256) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d10,d2])). % 32.36/4.46 cnf(d12, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~ssList(sK267(sK255,sK256)) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d11,d2])). % 32.36/4.46 cnf(d13, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d12,d5])). % 32.36/4.46 cnf(d14, plain, ~ssItem(sK265(sK255,sK256)) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d13,d4])). % 32.36/4.46 cnf(d15, plain, ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d14,d3])). % 32.36/4.46 cnf(d16, plain, ~ssItem(X0) | ~ssItem(X1) | ~ssList(X2) | 'Ts254'(X3,app(app(cons(X1,nil),cons(X0,nil)),X2)), inference(equality_resolution, [status(thm)], [c225])). % 32.36/4.46 cnf(d17, plain, 'Ts254'(X1,X0) | ~ssItem(sK271(X0)) | ~ssItem(sK272(X0)) | ~ssList(sK273(X0)) | 'Ts254'(X0,X2), inference(superposition, [status(thm)], [c229,d16])). % 32.36/4.46 cnf(d18, plain, 'Ts254'(X2,X1) | ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X3,X4,X0,X1), inference(superposition, [status(thm)], [c223,d16])). % 32.36/4.46 cnf(d19, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~ssList(sK267(sK255,sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d18,d2])). % 32.36/4.46 cnf(d20, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d19,d5])). % 32.36/4.46 cnf(d21, plain, ~ssItem(sK265(sK255,sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d20,d4])). % 32.36/4.46 cnf(d22, plain, 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d21,d3])). % 32.36/4.46 cnf(d23, plain, 'Ts254'(X0,sK256) | ssList(sK273(sK256)), inference(resolution, [status(thm)], [d22,c228])). % 32.36/4.46 cnf(d24, plain, ssList(sK273(sK256)), inference(resolution, [status(thm)], [d15,d23])). % 32.36/4.46 cnf(d25, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d24,d17])). % 32.36/4.46 cnf(d26, plain, ssList(sK264(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c218,d2])). % 32.36/4.46 cnf(d27, plain, ssList(sK264(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d26,c227])). % 32.36/4.46 cnf(d28, plain, 'Ts254'(X1,X0) | ~ssItem(sK262(X0)) | ~ssItem(sK263(X0)) | ~ssList(sK264(X0)) | 'Ts253'(X2,X0,X3,X4), inference(superposition, [status(thm)], [c219,d16])). % 32.36/4.46 cnf(d29, plain, ~ssItem(sK262(sK256)) | ~ssItem(sK263(sK256)) | ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d28,d2])). % 32.36/4.46 cnf(d30, plain, ssItem(sK263(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c217,d2])). % 32.36/4.46 cnf(d31, plain, ssItem(sK263(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d30,c226])). % 32.36/4.46 cnf(d32, plain, ssItem(sK263(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d30,c227])). % 32.36/4.46 cnf(d33, plain, ssItem(sK263(sK256)) | ssList(sK273(sK256)), inference(resolution, [status(thm)], [d30,c228])). % 32.36/4.46 cnf(d34, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d17,d33])). % 32.36/4.46 cnf(d35, plain, ssItem(sK263(sK256)) | ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d34,d32])). % 32.36/4.46 cnf(d36, plain, ssItem(sK263(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d35,d31])). % 32.36/4.46 cnf(d37, plain, ssItem(sK263(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d36,d30])). % 32.36/4.46 cnf(d38, plain, ssItem(sK263(sK256)) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d37,d30])). % 32.36/4.46 cnf(d39, plain, ~ssItem(sK262(sK256)) | ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d38,d29])). % 32.36/4.46 cnf(d40, plain, ssItem(sK262(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c216,d2])). % 32.36/4.46 cnf(d41, plain, ssItem(sK262(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d40,c226])). % 32.36/4.46 cnf(d42, plain, ssItem(sK262(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d40,c227])). % 32.36/4.46 cnf(d43, plain, ssItem(sK262(sK256)) | ssList(sK273(sK256)), inference(resolution, [status(thm)], [d40,c228])). % 32.36/4.46 cnf(d44, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d17,d43])). % 32.36/4.46 cnf(d45, plain, ssItem(sK262(sK256)) | ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d44,d42])). % 32.36/4.46 cnf(d46, plain, ssItem(sK262(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d45,d41])). % 32.36/4.46 cnf(d47, plain, ssItem(sK262(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d46,d40])). % 32.36/4.46 cnf(d48, plain, ssItem(sK262(sK256)) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d47,d40])). % 32.36/4.46 cnf(d49, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d48,d39])). % 32.36/4.46 cnf(d50, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d49,c227])). % 32.36/4.46 cnf(d51, plain, ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d50,d27])). % 32.36/4.46 cnf(d52, plain, ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d15,d51])). % 32.36/4.46 cnf(d53, plain, ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d52,d25])). % 32.36/4.46 cnf(d54, plain, ssList(sK264(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d26,c226])). % 32.36/4.46 cnf(d55, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d49,c226])). % 32.36/4.46 cnf(d56, plain, ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d55,d54])). % 32.36/4.46 cnf(d57, plain, ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d15,d56])). % 32.36/4.46 cnf(d58, plain, 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d57,d53])). % 32.36/4.46 cnf(d59, plain, 'Ts254'(X0,sK256), inference(resolution, [status(thm)], [d58,d15])). % 32.36/4.46 cnf(d60, plain, $false, inference(resolution, [status(thm)], [d59,d15])). % 32.36/4.46 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------