%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC010+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 08:53:55 AM UTC 2026 % Result : Theorem 17.66s 4.81s % Output : CNFRefutation 17.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SWC010+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.44 % Computer : n002.cluster.edu % 0.18/0.44 % Model : x86_64 x86_64 % 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.44 % Memory : 8046.5625MB % 0.18/0.44 % OS : Linux 6.8.0-71-generic % 0.18/0.44 % CPULimit : 300 % 0.18/0.44 % WCLimit : 300 % 0.18/0.44 % DateTime : Sat Sep 26 12:06:06 UTC 2026 % 0.18/0.44 % CPUTime : % 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 17.66/4.81 % SZS status Theorem for theBenchmark.p % 17.66/4.81 % SZS output start CNFRefutation for theBenchmark.p % 17.66/4.81 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) => ! [X8] : ((ssList(X8) => ! [X9] : ((ssList(X9) => (app(app(X8,cons(X7,nil)),X9) != X3 | (app(X8,X9) != X2 | ? [X10] : ((ssItem(X10) & (X7 != X10 & (memberP(X3,X10) & geq(X10,X7))))))))))))))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 17.66/4.81 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) => ! [X8] : ((ssList(X8) => ! [X9] : ((ssList(X9) => (app(app(X8,cons(X7,nil)),X9) != X3 | (app(X8,X9) != X2 | ? [X10] : ((ssItem(X10) & (X7 != X10 & (memberP(X3,X10) & geq(X10,X7))))))))))))))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 17.66/4.81 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 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])). % 17.66/4.81 cnf(c218, plain, X0(X1,X2,X3,X4) | ssItem(sK261(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c219, plain, X0(X1,X2,X3,X4) | ssList(sK262(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c220, plain, X0(X1,X2,X3,X4) | ssList(sK263(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c221, plain, X0(X1,X2,X3,X4) | app(app(sK262(X3,X4),cons(sK261(X3,X4),nil)),sK263(X3,X4)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(c222, plain, X0(X1,X2,X3,X4) | app(sK262(X3,X4),sK263(X3,X4)) = X3, inference(clausification, [status(esa)], [negated_conjecture])). % 17.66/4.81 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 17.66/4.81 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 17.66/4.81 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 17.66/4.81 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 17.66/4.81 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 17.66/4.81 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 17.66/4.81 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 17.66/4.81 cnf(d7, plain, app(sK262(sK254,sK255),sK263(sK254,sK255)) = sK254, inference(resolution, [status(thm)], [c222,d6])). % 17.66/4.81 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])). % 17.66/4.81 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])). % 17.66/4.81 cnf(d10, plain, app(app(sK262(sK254,sK255),cons(sK261(sK254,sK255),nil)),sK263(sK254,sK255)) = sK255, inference(resolution, [status(thm)], [c221,d6])). % 17.66/4.81 cnf(d11, plain, 'Ts253'(app(sK262(sK254,sK255),sK263(sK254,sK255)),sK255,X0,X1) | ~ssItem(sK261(sK254,sK255)) | ~ssList(sK262(sK254,sK255)) | ~ssList(sK263(sK254,sK255)), inference(superposition, [status(thm)], [d10,d9])). % 17.66/4.81 cnf(d12, plain, ~ssItem(sK261(sK254,sK255)) | ~ssList(sK262(sK254,sK255)) | ~ssList(sK263(sK254,sK255)) | 'Ts253'(sK254,sK255,X0,X1), inference(demodulation, [status(thm)], [d11,d7])). % 17.66/4.81 cnf(d13, plain, ssItem(sK261(sK254,sK255)), inference(resolution, [status(thm)], [c218,d6])). % 17.66/4.81 cnf(d14, plain, ~ssList(sK262(sK254,sK255)) | ~ssList(sK263(sK254,sK255)) | 'Ts253'(sK254,sK255,X0,X1), inference(resolution, [status(thm)], [d13,d12])). % 17.66/4.81 cnf(d15, plain, ssList(sK262(sK254,sK255)), inference(resolution, [status(thm)], [c219,d6])). % 17.66/4.81 cnf(d16, plain, ~ssList(sK263(sK254,sK255)) | 'Ts253'(sK254,sK255,X0,X1), inference(resolution, [status(thm)], [d15,d14])). % 17.66/4.81 cnf(d17, plain, ssList(sK263(sK254,sK255)), inference(resolution, [status(thm)], [c220,d6])). % 17.66/4.81 cnf(d18, plain, 'Ts253'(sK254,sK255,X0,X1), inference(resolution, [status(thm)], [d17,d16])). % 17.66/4.81 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d18,d6])). % 17.66/4.81 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------