%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC412+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 : 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 08:55:18 AM UTC 2026 % Result : Theorem 37.18s 8.38s % Output : CNFRefutation 37.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SWC412+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.45 % Computer : n020.cluster.edu % 0.21/0.45 % Model : x86_64 x86_64 % 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.21/0.45 % Memory : 8046.5625MB % 0.21/0.45 % OS : Linux 6.8.0-71-generic % 0.21/0.45 % CPULimit : 300 % 0.21/0.45 % WCLimit : 300 % 0.21/0.45 % DateTime : Sat Sep 26 13:01:03 UTC 2026 % 0.21/0.45 % CPUTime : % 0.21/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 37.18/8.38 % SZS status Theorem for theBenchmark.p % 37.18/8.38 % SZS output start CNFRefutation for theBenchmark.p % 37.18/8.38 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) = X3)))))) | ! [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(X11,nil),X12),cons(X10,nil)) != X2 & app(app(cons(X10,nil),X12),cons(X11,nil)) = X3))))))) | (! [X13] : ((ssItem(X13) => ! [X14] : ((ssItem(X14) => ! [X15] : ((ssList(X15) => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1)))))) | ! [X16] : ((ssItem(X16) => ! [X17] : ((ssItem(X17) => ! [X18] : ((~ssList(X18) | (app(app(cons(X16,nil),X18),cons(X17,nil)) != X1 | app(app(cons(X17,nil),X18),cons(X16,nil)) = X0))))))))))))))))))))). % 37.18/8.38 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) = X3)))))) | ! [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(X11,nil),X12),cons(X10,nil)) != X2 & app(app(cons(X10,nil),X12),cons(X11,nil)) = X3))))))) | (! [X13] : ((ssItem(X13) => ! [X14] : ((ssItem(X14) => ! [X15] : ((ssList(X15) => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1)))))) | ! [X16] : ((ssItem(X16) => ! [X17] : ((ssItem(X17) => ! [X18] : ((~ssList(X18) | (app(app(cons(X16,nil),X18),cons(X17,nil)) != X1 | app(app(cons(X17,nil),X18),cons(X16,nil)) = X0)))))))))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 37.18/8.38 cnf(c212, plain, sK256 = sK258, inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c214, plain, ~X0(sK256,sK258) | ~X1(sK255,sK256,sK257,sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c215, plain, app(app(cons(X0,nil),X1),cons(X2,nil)) = X3 | ~ssItem(X2) | ~ssItem(X0) | X4(X5,X6,X3,X7) | app(app(cons(X2,nil),X1),cons(X0,nil)) != X7 | ~ssList(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c216, plain, X0(X1,X2,X3,X4) | ssItem(sK262(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c217, plain, X0(X1,X2,X3,X4) | ssItem(sK263(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c218, plain, X0(X1,X2,X3,X4) | ssList(sK264(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 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])). % 37.18/8.38 cnf(c220, plain, X0(X1,X2,X3,X4) | ssItem(sK265(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c221, plain, X0(X1,X2,X3,X4) | ssItem(sK266(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c222, plain, X0(X1,X2,X3,X4) | ssList(sK267(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c223, plain, X0(X1,X2,X3,X4) | app(app(cons(sK265(X1,X2),nil),sK267(X1,X2)),cons(sK266(X1,X2),nil)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c224, plain, X0(X1,X2,X3,X4) | app(app(cons(sK266(X1,X2),nil),sK267(X1,X2)),cons(sK265(X1,X2),nil)) != X1, inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 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])). % 37.18/8.38 cnf(c226, plain, X0(X1,X2) | ssItem(sK271(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c227, plain, X0(X1,X2) | ssItem(sK272(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 cnf(c228, plain, X0(X1,X2) | ssList(sK273(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 37.18/8.38 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])). % 37.18/8.38 cnf(d0, plain, ~'Ts253'(sK255,sK256,sK255,sK258) | ~'Ts254'(sK256,sK258), inference(demodulation, [status(thm)], [c214,c213])). % 37.18/8.38 cnf(d1, plain, ~'Ts253'(sK255,sK256,sK255,sK256) | ~'Ts254'(sK256,sK258), inference(demodulation, [status(thm)], [d0,c212])). % 37.18/8.38 cnf(d2, plain, ~'Ts253'(sK255,sK256,sK255,sK256) | ~'Ts254'(sK256,sK256), inference(demodulation, [status(thm)], [d1,c212])). % 37.18/8.38 cnf(d3, plain, ssItem(sK265(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c220,d2])). % 37.18/8.38 cnf(d4, plain, ssItem(sK266(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c221,d2])). % 37.18/8.38 cnf(d5, plain, ssList(sK267(sK255,sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c222,d2])). % 37.18/8.38 cnf(d6, plain, app(app(cons(X0,nil),X1),cons(X2,nil)) = X3 | ~ssItem(X2) | ~ssItem(X0) | ~ssList(X1) | 'Ts253'(X4,X5,X3,app(app(cons(X2,nil),X1),cons(X0,nil))), inference(equality_resolution, [status(thm)], [c215])). % 37.18/8.38 cnf(d7, plain, 'Ts253'(X2,X3,X4,X1) | app(app(cons(sK266(X0,X1),nil),sK267(X0,X1)),cons(sK265(X0,X1),nil)) = X4 | ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X0,X1,X5,X6), inference(superposition, [status(thm)], [c223,d6])). % 37.18/8.38 cnf(d8, plain, X2 != X0 | 'Ts253'(X0,X1,X3,X4) | ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X5,X6,X2,X1) | 'Ts253'(X0,X1,X7,X8), inference(superposition, [status(thm)], [d7,c224])). % 37.18/8.38 cnf(d9, plain, ~ssItem(sK265(X0,X1)) | ~ssItem(sK266(X0,X1)) | ~ssList(sK267(X0,X1)) | 'Ts253'(X2,X3,X0,X1) | 'Ts253'(X0,X1,X4,X5) | 'Ts253'(X0,X1,X6,X7), inference(equality_resolution, [status(thm)], [d8])). % 37.18/8.38 cnf(d10, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~ssList(sK267(sK255,sK256)) | 'Ts253'(X0,X1,sK255,sK256) | 'Ts253'(sK255,sK256,X2,X3) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d9,d2])). % 37.18/8.38 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])). % 37.18/8.38 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])). % 37.18/8.38 cnf(d13, plain, ~ssItem(sK265(sK255,sK256)) | ~ssItem(sK266(sK255,sK256)) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d12,d5])). % 37.18/8.38 cnf(d14, plain, ~ssItem(sK265(sK255,sK256)) | ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d13,d4])). % 37.18/8.38 cnf(d15, plain, ~'Ts254'(sK256,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d14,d3])). % 37.18/8.38 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])). % 37.18/8.38 cnf(d17, plain, 'Ts254'(X1,X0) | ~ssItem(sK271(X0)) | ~ssItem(sK272(X0)) | ~ssList(sK273(X0)) | 'Ts254'(X0,X2), inference(superposition, [status(thm)], [c229,d16])). % 37.18/8.38 cnf(d18, plain, ssList(sK273(sK256)), inference(resolution, [status(thm)], [d15,c228])). % 37.18/8.38 cnf(d19, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d18,d17])). % 37.18/8.38 cnf(d20, plain, ssList(sK264(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c218,d2])). % 37.18/8.38 cnf(d21, plain, ssList(sK264(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d20,c227])). % 37.18/8.38 cnf(d22, plain, 'Ts254'(X1,X0) | ~ssItem(sK262(X0)) | ~ssItem(sK263(X0)) | ~ssList(sK264(X0)) | 'Ts253'(X2,X0,X3,X4), inference(superposition, [status(thm)], [c219,d16])). % 37.18/8.38 cnf(d23, plain, ~ssItem(sK262(sK256)) | ~ssItem(sK263(sK256)) | ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d22,d2])). % 37.18/8.38 cnf(d24, plain, ssItem(sK263(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c217,d2])). % 37.18/8.38 cnf(d25, plain, ssItem(sK263(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d24,c226])). % 37.18/8.38 cnf(d26, plain, ssItem(sK263(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d24,c227])). % 37.18/8.38 cnf(d27, plain, ssItem(sK263(sK256)) | ssList(sK273(sK256)), inference(resolution, [status(thm)], [d24,c228])). % 37.18/8.38 cnf(d28, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d17,d27])). % 37.18/8.38 cnf(d29, plain, ssItem(sK263(sK256)) | ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d28,d26])). % 37.18/8.38 cnf(d30, plain, ssItem(sK263(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d29,d25])). % 37.18/8.38 cnf(d31, plain, ssItem(sK263(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d30,d24])). % 37.18/8.38 cnf(d32, plain, ssItem(sK263(sK256)) | ssItem(sK263(sK256)), inference(resolution, [status(thm)], [d31,d24])). % 37.18/8.38 cnf(d33, plain, ~ssItem(sK262(sK256)) | ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d32,d23])). % 37.18/8.38 cnf(d34, plain, ssItem(sK262(sK256)) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [c216,d2])). % 37.18/8.38 cnf(d35, plain, ssItem(sK262(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d34,c226])). % 37.18/8.38 cnf(d36, plain, ssItem(sK262(sK256)) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d34,c227])). % 37.18/8.38 cnf(d37, plain, ssItem(sK262(sK256)) | ssList(sK273(sK256)), inference(resolution, [status(thm)], [d34,c228])). % 37.18/8.38 cnf(d38, plain, ~ssItem(sK271(sK256)) | ~ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d17,d37])). % 37.18/8.38 cnf(d39, plain, ssItem(sK262(sK256)) | ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d38,d36])). % 37.18/8.38 cnf(d40, plain, ssItem(sK262(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d39,d35])). % 37.18/8.38 cnf(d41, plain, ssItem(sK262(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d40,d34])). % 37.18/8.38 cnf(d42, plain, ssItem(sK262(sK256)) | ssItem(sK262(sK256)), inference(resolution, [status(thm)], [d41,d34])). % 37.18/8.38 cnf(d43, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ~'Ts254'(sK256,sK256), inference(resolution, [status(thm)], [d42,d33])). % 37.18/8.38 cnf(d44, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d43,c227])). % 37.18/8.38 cnf(d45, plain, ssItem(sK272(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d44,d21])). % 37.18/8.38 cnf(d46, plain, ssItem(sK272(sK256)), inference(resolution, [status(thm)], [d15,d45])). % 37.18/8.38 cnf(d47, plain, ~ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d46,d19])). % 37.18/8.38 cnf(d48, plain, ssList(sK264(sK256)) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d20,c226])). % 37.18/8.38 cnf(d49, plain, ~ssList(sK264(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d43,c226])). % 37.18/8.38 cnf(d50, plain, ssItem(sK271(sK256)) | 'Ts254'(X0,sK256) | ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d49,d48])). % 37.18/8.38 cnf(d51, plain, ssItem(sK271(sK256)), inference(resolution, [status(thm)], [d15,d50])). % 37.18/8.38 cnf(d52, plain, 'Ts254'(X0,sK256) | 'Ts254'(sK256,X1), inference(resolution, [status(thm)], [d51,d47])). % 37.18/8.38 cnf(d53, plain, 'Ts254'(X0,sK256), inference(resolution, [status(thm)], [d52,d15])). % 37.18/8.38 cnf(d54, plain, $false, inference(resolution, [status(thm)], [d53,d15])). % 37.18/8.38 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------