%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC220+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 : n001.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 08:54:39 AM UTC 2026 % Result : Theorem 18.11s 4.45s % Output : CNFRefutation 18.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SWC220+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 % 0.16/0.44 % Computer : n001.cluster.edu % 0.16/0.44 % Model : x86_64 x86_64 % 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.44 % Memory : 8046.5625MB % 0.16/0.44 % OS : Linux 6.8.0-71-generic % 0.16/0.44 % CPULimit : 300 % 0.16/0.44 % WCLimit : 300 % 0.16/0.44 % DateTime : Sat Sep 26 12:38:28 UTC 2026 % 0.16/0.45 % CPUTime : % 0.16/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.11/4.45 % SZS status Theorem for theBenchmark.p % 18.11/4.45 % SZS output start CNFRefutation for theBenchmark.p % 18.11/4.45 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (nil = X0 | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X0 & ! [X7] : ((ssItem(X7) => (~memberP(X5,X7) | (~memberP(X6,X7) | (~leq(X4,X7) | leq(X7,X4))))))))))))) | (nil != X2 & ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => ! [X10] : ((ssList(X10) => (app(app(X9,cons(X8,nil)),X10) != X2 | ? [X11] : ((ssItem(X11) & (~leq(X11,X8) & (memberP(X9,X11) & (memberP(X10,X11) & leq(X8,X11))))))))))))))))))))))))))). % 18.11/4.45 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (nil = X0 | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X0 & ! [X7] : ((ssItem(X7) => (~memberP(X5,X7) | (~memberP(X6,X7) | (~leq(X4,X7) | leq(X7,X4))))))))))))) | (nil != X2 & ! [X8] : ((ssItem(X8) => ! [X9] : ((ssList(X9) => ! [X10] : ((ssList(X10) => (app(app(X9,cons(X8,nil)),X10) != X2 | ? [X11] : ((ssItem(X11) & (~leq(X11,X8) & (memberP(X9,X11) & (memberP(X10,X11) & leq(X8,X11)))))))))))))))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 18.11/4.45 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c214, plain, nil != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c215, plain, ~ssItem(X0) | ~ssList(X1) | ~X2(X3,X0,X1) | ~ssList(X3) | app(app(X1,cons(X0,nil)),X3) != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c216, plain, nil = sK257 | ~X0(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c217, plain, X0(X1,X2,X3) | ssItem(sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c218, plain, X0(X1,X2,X3) | memberP(X3,sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c219, plain, X0(X1,X2,X3) | memberP(X1,sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c220, plain, X0(X1,X2,X3) | leq(X2,sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c221, plain, X0(X1,X2,X3) | ~leq(sK262(X1,X2,X3),X2), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c222, plain, X0(X1) | ssItem(sK263(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c223, plain, X0(X1) | ssList(sK264(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c224, plain, X0(X1) | ssList(sK265(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c225, plain, X0(X1) | app(app(sK264(X1),cons(sK263(X1),nil)),sK265(X1)) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(c226, plain, X0(X1) | ~ssItem(X2) | leq(X2,sK263(X1)) | ~leq(sK263(X1),X2) | ~memberP(sK265(X1),X2) | ~memberP(sK264(X1),X2), inference(clausification, [status(esa)], [negated_conjecture])). % 18.11/4.45 cnf(d0, plain, nil = sK255 | ~'Ts254'(sK257), inference(demodulation, [status(thm)], [c216,c213])). % 18.11/4.45 cnf(d1, plain, nil = sK255 | ~'Ts254'(sK255), inference(demodulation, [status(thm)], [d0,c213])). % 18.11/4.45 cnf(d2, plain, ~'Ts254'(sK255), inference(resolution, [status(thm)], [c214,d1])). % 18.11/4.45 cnf(d3, plain, app(app(sK264(sK255),cons(sK263(sK255),nil)),sK265(sK255)) = sK255, inference(resolution, [status(thm)], [c225,d2])). % 18.11/4.45 cnf(d4, plain, sK255 != sK255 | ~ssItem(sK263(sK255)) | ~ssList(sK265(sK255)) | ~ssList(sK264(sK255)) | ~'Ts253'(sK265(sK255),sK263(sK255),sK264(sK255)), inference(superposition, [status(thm)], [d3,c215])). % 18.11/4.45 cnf(d5, plain, ~ssItem(sK263(sK255)) | ~ssList(sK264(sK255)) | ~ssList(sK265(sK255)) | ~'Ts253'(sK265(sK255),sK263(sK255),sK264(sK255)), inference(equality_resolution, [status(thm)], [d4])). % 18.11/4.45 cnf(d6, plain, ~ssItem(sK262(X0,sK263(X1),X2)) | ~memberP(sK264(X1),sK262(X0,sK263(X1),X2)) | ~memberP(sK265(X1),sK262(X0,sK263(X1),X2)) | leq(sK262(X0,sK263(X1),X2),sK263(X1)) | 'Ts254'(X1) | 'Ts253'(X0,sK263(X1),X2), inference(resolution, [status(thm)], [c226,c220])). % 18.11/4.45 cnf(d7, plain, ~ssItem(sK262(sK265(X0),sK263(X0),X1)) | ~memberP(sK264(X0),sK262(sK265(X0),sK263(X0),X1)) | leq(sK262(sK265(X0),sK263(X0),X1),sK263(X0)) | 'Ts253'(sK265(X0),sK263(X0),X1) | 'Ts254'(X0) | 'Ts253'(sK265(X0),sK263(X0),X1), inference(resolution, [status(thm)], [d6,c219])). % 18.11/4.45 cnf(d8, plain, ~ssItem(sK262(sK265(X0),sK263(X0),sK264(X0))) | leq(sK262(sK265(X0),sK263(X0),sK264(X0)),sK263(X0)) | 'Ts253'(sK265(X0),sK263(X0),sK264(X0)) | 'Ts254'(X0) | 'Ts253'(sK265(X0),sK263(X0),sK264(X0)), inference(resolution, [status(thm)], [d7,c218])). % 18.11/4.45 cnf(d9, plain, ~ssItem(sK262(sK265(X0),sK263(X0),sK264(X0))) | 'Ts253'(sK265(X0),sK263(X0),sK264(X0)) | 'Ts254'(X0) | 'Ts253'(sK265(X0),sK263(X0),sK264(X0)), inference(resolution, [status(thm)], [d8,c221])). % 18.11/4.45 cnf(d10, plain, 'Ts253'(sK265(X0),sK263(X0),sK264(X0)) | 'Ts254'(X0) | 'Ts253'(sK265(X0),sK263(X0),sK264(X0)), inference(resolution, [status(thm)], [d9,c217])). % 18.11/4.45 cnf(d11, plain, 'Ts254'(sK255) | ~ssItem(sK263(sK255)) | ~ssList(sK264(sK255)) | ~ssList(sK265(sK255)), inference(resolution, [status(thm)], [d10,d5])). % 18.11/4.45 cnf(d12, plain, ~ssItem(sK263(sK255)) | ~ssList(sK264(sK255)) | ~ssList(sK265(sK255)), inference(resolution, [status(thm)], [d2,d11])). % 18.11/4.45 cnf(d13, plain, ~ssItem(sK263(sK255)) | ~ssList(sK264(sK255)) | 'Ts254'(sK255), inference(resolution, [status(thm)], [d12,c224])). % 18.11/4.45 cnf(d14, plain, ~ssItem(sK263(sK255)) | ~ssList(sK264(sK255)), inference(resolution, [status(thm)], [d2,d13])). % 18.11/4.45 cnf(d15, plain, ~ssItem(sK263(sK255)) | 'Ts254'(sK255), inference(resolution, [status(thm)], [d14,c223])). % 18.11/4.45 cnf(d16, plain, ~ssItem(sK263(sK255)), inference(resolution, [status(thm)], [d2,d15])). % 18.11/4.45 cnf(d17, plain, 'Ts254'(sK255), inference(resolution, [status(thm)], [d16,c222])). % 18.11/4.45 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d2,d17])). % 18.11/4.45 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------