%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC344+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 : n017.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 08:55:03 AM UTC 2026 % Result : Theorem 38.37s 5.41s % Output : CNFRefutation 38.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWC344+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 % 0.10/0.36 % Computer : n017.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 12:46:03 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 38.37/5.41 % SZS status Theorem for theBenchmark.p % 38.37/5.41 % SZS output start CNFRefutation for theBenchmark.p % 38.37/5.41 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssList(X4) => ! [X5] : ((ssList(X5) => (app(app(X4,X2),X5) != X3 | (~strictorderedP(X2) | (? [X6] : ((ssItem(X6) & ? [X7] : ((ssList(X7) & (app(X7,cons(X6,nil)) = X4 & ? [X8] : ((ssItem(X8) & ? [X9] : ((ssList(X9) & (app(cons(X8,nil),X9) = X2 & lt(X6,X8))))))))))) | ? [X10] : ((ssItem(X10) & ? [X11] : ((ssList(X11) & (app(cons(X10,nil),X11) = X5 & ? [X12] : ((ssItem(X12) & ? [X13] : ((ssList(X13) & (app(X13,cons(X12,nil)) = X2 & lt(X12,X10)))))))))))))))))) | ((nil != X3 & nil = X2) | (? [X14] : ((ssList(X14) & ? [X15] : ((ssList(X15) & (app(app(X14,X0),X15) = X1 & (! [X16] : ((ssItem(X16) => ! [X17] : ((ssList(X17) => (app(X17,cons(X16,nil)) != X14 | ! [X18] : ((ssItem(X18) => ! [X19] : ((ssList(X19) => (app(cons(X18,nil),X19) != X0 | ~lt(X16,X18))))))))))) & (! [X20] : ((ssItem(X20) => ! [X21] : ((ssList(X21) => (app(cons(X20,nil),X21) != X15 | ! [X22] : ((ssItem(X22) => ! [X23] : ((ssList(X23) => (app(X23,cons(X22,nil)) != X0 | ~lt(X22,X20))))))))))) & strictorderedP(X0)))))))) & (nil != X0 | nil = X1))))))))))))))). % 38.37/5.41 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssList(X4) => ! [X5] : ((ssList(X5) => (app(app(X4,X2),X5) != X3 | (~strictorderedP(X2) | (? [X6] : ((ssItem(X6) & ? [X7] : ((ssList(X7) & (app(X7,cons(X6,nil)) = X4 & ? [X8] : ((ssItem(X8) & ? [X9] : ((ssList(X9) & (app(cons(X8,nil),X9) = X2 & lt(X6,X8))))))))))) | ? [X10] : ((ssItem(X10) & ? [X11] : ((ssList(X11) & (app(cons(X10,nil),X11) = X5 & ? [X12] : ((ssItem(X12) & ? [X13] : ((ssList(X13) & (app(X13,cons(X12,nil)) = X2 & lt(X12,X10)))))))))))))))))) | ((nil != X3 & nil = X2) | (? [X14] : ((ssList(X14) & ? [X15] : ((ssList(X15) & (app(app(X14,X0),X15) = X1 & (! [X16] : ((ssItem(X16) => ! [X17] : ((ssList(X17) => (app(X17,cons(X16,nil)) != X14 | ! [X18] : ((ssItem(X18) => ! [X19] : ((ssList(X19) => (app(cons(X18,nil),X19) != X0 | ~lt(X16,X18))))))))))) & (! [X20] : ((ssItem(X20) => ! [X21] : ((ssList(X21) => (app(cons(X20,nil),X21) != X15 | ! [X22] : ((ssItem(X22) => ! [X23] : ((ssList(X23) => (app(X23,cons(X22,nil)) != X0 | ~lt(X22,X20))))))))))) & strictorderedP(X0)))))))) & (nil != X0 | nil = X1)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 38.37/5.41 cnf(c212, plain, sK256 = sK258, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c214, plain, ssList(sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c215, plain, ssList(sK260), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c216, plain, app(app(sK259,sK257),sK260) = sK258, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c217, plain, strictorderedP(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c218, plain, ~lt(X0,X1) | app(cons(X1,nil),X2) != sK257 | ~ssList(X2) | app(X3,cons(X0,nil)) != sK259 | ~ssItem(X1) | ~ssList(X3) | ~ssItem(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c219, plain, ~ssItem(X0) | app(cons(X1,nil),X2) != sK260 | ~ssItem(X1) | ~ssList(X2) | ~ssList(X3) | ~lt(X0,X1) | app(X3,cons(X0,nil)) != sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c220, plain, nil = sK258 | nil != sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c221, plain, ~X0(sK255,X1) | ~ssList(X1) | ~X2(sK255,X3) | nil = sK255 | ~strictorderedP(sK255) | ~ssList(X3) | app(app(X3,sK255),X1) != sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c222, plain, ~X0(sK255,X1) | ~ssList(X1) | ~X2(sK255,X3) | nil != sK256 | ~strictorderedP(sK255) | ~ssList(X3) | app(app(X3,sK255),X1) != sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c223, plain, X0(X1,X2) | ssItem(sK271(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c224, plain, X0(X1,X2) | ssList(sK272(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c225, plain, X0(X1,X2) | app(cons(sK271(X1,X2),nil),sK272(X1,X2)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c226, plain, X0(X1,X2) | ssItem(sK273(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c227, plain, X0(X1,X2) | ssList(sK274(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c228, plain, X0(X1,X2) | app(sK274(X1,X2),cons(sK273(X1,X2),nil)) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c229, plain, X0(X1,X2) | lt(sK273(X1,X2),sK271(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c230, plain, X0(X1,X2) | ssItem(sK275(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c231, plain, X0(X1,X2) | ssList(sK276(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c232, plain, X0(X1,X2) | app(sK276(X1,X2),cons(sK275(X1,X2),nil)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c233, plain, X0(X1,X2) | ssItem(sK277(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c234, plain, X0(X1,X2) | ssList(sK278(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c235, plain, X0(X1,X2) | app(cons(sK277(X1,X2),nil),sK278(X1,X2)) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(c236, plain, X0(X1,X2) | lt(sK275(X1,X2),sK277(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 38.37/5.41 cnf(d0, plain, nil != sK255 | nil = sK258, inference(demodulation, [status(thm)], [c220,c213])). % 38.37/5.41 cnf(d1, plain, nil != sK255 | nil = sK256, inference(demodulation, [status(thm)], [d0,c212])). % 38.37/5.41 cnf(d2, plain, strictorderedP(sK255), inference(demodulation, [status(thm)], [c217,c213])). % 38.37/5.41 cnf(d3, plain, app(app(X0,sK255),X1) != sK256 | nil = sK255 | ~ssList(X1) | ~ssList(X0) | ~'Ts254'(sK255,X0) | ~'Ts253'(sK255,X1), inference(resolution, [status(thm)], [d2,c221])). % 38.37/5.41 cnf(d4, plain, app(app(sK259,sK255),sK260) = sK258, inference(demodulation, [status(thm)], [c216,c213])). % 38.37/5.41 cnf(d5, plain, app(app(sK259,sK255),sK260) = sK256, inference(demodulation, [status(thm)], [d4,c212])). % 38.37/5.41 cnf(d6, plain, sK256 != sK256 | nil = sK255 | ~ssList(sK260) | ~ssList(sK259) | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(superposition, [status(thm)], [d5,d3])). % 38.37/5.41 cnf(d7, plain, nil = sK255 | sK256 != sK256 | ~ssList(sK259) | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [c215,d6])). % 38.37/5.41 cnf(d8, plain, nil = sK255 | sK256 != sK256 | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [c214,d7])). % 38.37/5.41 cnf(d9, plain, nil = sK255 | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(equality_resolution, [status(thm)], [d8])). % 38.37/5.41 cnf(d10, plain, app(X0,cons(X1,nil)) != sK259 | app(cons(X2,nil),X3) != sK255 | ~ssItem(X1) | ~ssItem(X2) | ~ssList(X3) | ~ssList(X0) | ~lt(X1,X2), inference(demodulation, [status(thm)], [c218,c213])). % 38.37/5.41 cnf(d11, plain, X0 != sK255 | app(X2,cons(X3,nil)) != sK259 | ~ssItem(X3) | ~ssItem(sK277(X0,X1)) | ~ssList(sK278(X0,X1)) | ~ssList(X2) | ~lt(X3,sK277(X0,X1)) | 'Ts254'(X0,X1), inference(superposition, [status(thm)], [c235,d10])). % 38.37/5.41 cnf(d12, plain, X1 != sK259 | X2 != sK255 | ~ssItem(sK275(X0,X1)) | ~ssItem(sK277(X2,X3)) | ~ssList(sK276(X0,X1)) | ~ssList(sK278(X2,X3)) | ~lt(sK275(X0,X1),sK277(X2,X3)) | 'Ts254'(X2,X3) | 'Ts254'(X0,X1), inference(superposition, [status(thm)], [c232,d11])). % 38.37/5.41 cnf(d13, plain, X0 != sK255 | ~ssItem(sK275(X1,sK259)) | ~ssItem(sK277(X0,X2)) | ~ssList(sK276(X1,sK259)) | ~ssList(sK278(X0,X2)) | ~lt(sK275(X1,sK259),sK277(X0,X2)) | 'Ts254'(X0,X2) | 'Ts254'(X1,sK259), inference(equality_resolution, [status(thm)], [d12])). % 38.37/5.41 cnf(d14, plain, ~ssItem(sK275(X0,sK259)) | ~ssItem(sK277(sK255,X1)) | ~ssList(sK276(X0,sK259)) | ~ssList(sK278(sK255,X1)) | ~lt(sK275(X0,sK259),sK277(sK255,X1)) | 'Ts254'(X0,sK259) | 'Ts254'(sK255,X1), inference(equality_resolution, [status(thm)], [d13])). % 38.37/5.41 cnf(d15, plain, ~ssItem(sK275(sK255,sK259)) | ~ssItem(sK277(sK255,sK259)) | ~ssList(sK276(sK255,sK259)) | ~ssList(sK278(sK255,sK259)) | 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259), inference(resolution, [status(thm)], [d14,c236])). % 38.37/5.41 cnf(d16, plain, ~ssItem(sK275(sK255,sK259)) | ~ssItem(sK277(sK255,sK259)) | ~ssList(sK276(sK255,sK259)) | 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259), inference(resolution, [status(thm)], [d15,c234])). % 38.37/5.41 cnf(d17, plain, ~ssItem(sK275(sK255,sK259)) | ~ssItem(sK277(sK255,sK259)) | 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259), inference(resolution, [status(thm)], [d16,c231])). % 38.37/5.41 cnf(d18, plain, ~ssItem(sK275(sK255,sK259)) | 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259), inference(resolution, [status(thm)], [d17,c233])). % 38.37/5.41 cnf(d19, plain, 'Ts254'(sK255,sK259) | 'Ts254'(sK255,sK259), inference(resolution, [status(thm)], [d18,c230])). % 38.37/5.41 cnf(d20, plain, nil = sK255 | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d19,d9])). % 38.37/5.41 cnf(d21, plain, app(X0,cons(X1,nil)) != sK255 | app(cons(X2,nil),X3) != sK260 | ~ssItem(X1) | ~ssItem(X2) | ~ssList(X0) | ~ssList(X3) | ~lt(X1,X2), inference(demodulation, [status(thm)], [c219,c213])). % 38.37/5.41 cnf(d22, plain, X1 != sK260 | app(X2,cons(X3,nil)) != sK255 | ~ssItem(X3) | ~ssItem(sK271(X0,X1)) | ~ssList(X2) | ~ssList(sK272(X0,X1)) | ~lt(X3,sK271(X0,X1)) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c225,d21])). % 38.37/5.41 cnf(d23, plain, X0 != sK255 | X2 != sK260 | ~ssItem(sK273(X0,X1)) | ~ssItem(sK271(X3,X2)) | ~ssList(sK274(X0,X1)) | ~ssList(sK272(X3,X2)) | ~lt(sK273(X0,X1),sK271(X3,X2)) | 'Ts253'(X3,X2) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c228,d22])). % 38.37/5.41 cnf(d24, plain, X0 != sK260 | ~ssItem(sK271(X1,X0)) | ~ssItem(sK273(sK255,X2)) | ~ssList(sK272(X1,X0)) | ~ssList(sK274(sK255,X2)) | ~lt(sK273(sK255,X2),sK271(X1,X0)) | 'Ts253'(X1,X0) | 'Ts253'(sK255,X2), inference(equality_resolution, [status(thm)], [d23])). % 38.37/5.41 cnf(d25, plain, ~ssItem(sK271(X0,sK260)) | ~ssItem(sK273(sK255,X1)) | ~ssList(sK272(X0,sK260)) | ~ssList(sK274(sK255,X1)) | ~lt(sK273(sK255,X1),sK271(X0,sK260)) | 'Ts253'(X0,sK260) | 'Ts253'(sK255,X1), inference(equality_resolution, [status(thm)], [d24])). % 38.37/5.41 cnf(d26, plain, ~ssItem(sK271(sK255,sK260)) | ~ssItem(sK273(sK255,sK260)) | ~ssList(sK272(sK255,sK260)) | ~ssList(sK274(sK255,sK260)) | 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d25,c229])). % 38.37/5.41 cnf(d27, plain, ~ssItem(sK271(sK255,sK260)) | ~ssItem(sK273(sK255,sK260)) | ~ssList(sK272(sK255,sK260)) | 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d26,c227])). % 38.37/5.41 cnf(d28, plain, ~ssItem(sK271(sK255,sK260)) | ~ssItem(sK273(sK255,sK260)) | 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d27,c224])). % 38.37/5.41 cnf(d29, plain, ~ssItem(sK271(sK255,sK260)) | 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d28,c226])). % 38.37/5.41 cnf(d30, plain, 'Ts253'(sK255,sK260) | 'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d29,c223])). % 38.37/5.41 cnf(d31, plain, nil = sK255, inference(resolution, [status(thm)], [d30,d20])). % 38.37/5.41 cnf(d32, plain, nil = sK256, inference(resolution, [status(thm)], [d31,d1])). % 38.37/5.41 cnf(d33, plain, app(app(X0,sK255),X1) != sK256 | nil != sK256 | ~ssList(X1) | ~ssList(X0) | ~'Ts254'(sK255,X0) | ~'Ts253'(sK255,X1), inference(resolution, [status(thm)], [d2,c222])). % 38.37/5.41 cnf(d34, plain, sK256 != sK256 | nil != sK256 | ~ssList(sK260) | ~ssList(sK259) | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(superposition, [status(thm)], [d5,d33])). % 38.37/5.41 cnf(d35, plain, nil != sK256 | sK256 != sK256 | ~ssList(sK259) | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [c215,d34])). % 38.37/5.41 cnf(d36, plain, nil != sK256 | sK256 != sK256 | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [c214,d35])). % 38.37/5.41 cnf(d37, plain, nil != sK256 | ~'Ts254'(sK255,sK259) | ~'Ts253'(sK255,sK260), inference(equality_resolution, [status(thm)], [d36])). % 38.37/5.41 cnf(d38, plain, nil != sK256 | ~'Ts253'(sK255,sK260), inference(resolution, [status(thm)], [d19,d37])). % 38.37/5.41 cnf(d39, plain, nil != sK256, inference(resolution, [status(thm)], [d30,d38])). % 38.37/5.41 cnf(d40, plain, $false, inference(resolution, [status(thm)], [d39,d32])). % 38.37/5.41 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------