%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC327+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 : 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 08:54:59 AM UTC 2026 % Result : Theorem 28.26s 6.62s % Output : CNFRefutation 28.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC327+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 % 0.10/0.37 % Computer : n017.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 12:43:49 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 28.26/6.62 % SZS status Theorem for theBenchmark.p % 28.26/6.62 % SZS output start CNFRefutation for theBenchmark.p % 28.26/6.62 fof(ax3, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => (memberP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(X2,cons(X1,X3)) = X0)))))))))). % 28.26/6.62 fof(ax17, axiom, ssList(nil)). % 28.26/6.62 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 28.26/6.62 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 28.26/6.62 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssList(X4) => (app(X2,X4) != X3 | (~equalelemsP(X2) | ? [X5] : ((ssItem(X5) & ? [X6] : ((ssList(X6) & (app(cons(X5,nil),X6) = X4 & ? [X7] : ((ssList(X7) & app(X7,cons(X5,nil)) = X2))))))))))) | ((nil != X3 & nil = X2) | (? [X8] : ((ssList(X8) & (app(X0,X8) = X1 & (! [X9] : ((ssItem(X9) => ! [X10] : ((ssList(X10) => (app(cons(X9,nil),X10) != X8 | ! [X11] : ((ssList(X11) => app(X11,cons(X9,nil)) != X0))))))) & equalelemsP(X0))))) & (nil != X0 | nil = X1))))))))))))))). % 28.26/6.62 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssList(X4) => (app(X2,X4) != X3 | (~equalelemsP(X2) | ? [X5] : ((ssItem(X5) & ? [X6] : ((ssList(X6) & (app(cons(X5,nil),X6) = X4 & ? [X7] : ((ssList(X7) & app(X7,cons(X5,nil)) = X2))))))))))) | ((nil != X3 & nil = X2) | (? [X8] : ((ssList(X8) & (app(X0,X8) = X1 & (! [X9] : ((ssItem(X9) => ! [X10] : ((ssList(X10) => (app(cons(X9,nil),X10) != X8 | ! [X11] : ((ssList(X11) => app(X11,cons(X9,nil)) != X0))))))) & equalelemsP(X0))))) & (nil != X0 | nil = X1)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 28.26/6.62 cnf(c8, plain, ~ssItem(X0) | ~ssList(X1) | memberP(X2,X0) | ~ssList(X2) | app(X1,cons(X0,X3)) != X2 | ~ssList(X3), inference(clausification, [status(esa)], [ax3])). % 28.26/6.62 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 28.26/6.62 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 28.26/6.62 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 28.26/6.62 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c214, plain, ssList(sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c215, plain, app(sK256,sK258) = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c216, plain, equalelemsP(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c217, plain, app(X0,cons(X1,nil)) != sK256 | ~ssItem(X1) | ~ssList(X2) | ~ssList(X0) | app(cons(X1,nil),X2) != sK258, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c218, plain, nil = sK257 | nil != sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c219, plain, app(sK254,X0) != sK255 | ~equalelemsP(sK254) | ~X1(sK254,X0) | nil = sK254 | ~ssList(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c220, plain, app(sK254,X0) != sK255 | nil != sK255 | ~equalelemsP(sK254) | ~X1(sK254,X0) | ~ssList(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c221, plain, X0(X1,X2) | ssItem(sK263(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c222, plain, X0(X1,X2) | ssList(sK264(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c223, plain, X0(X1,X2) | app(cons(sK263(X1,X2),nil),sK264(X1,X2)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c224, plain, X0(X1,X2) | ssList(sK265(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(c225, plain, X0(X1,X2) | app(sK265(X1,X2),cons(sK263(X1,X2),nil)) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 28.26/6.62 cnf(d0, plain, nil != sK254 | nil = sK257, inference(demodulation, [status(thm)], [c218,c213])). % 28.26/6.62 cnf(d1, plain, nil != sK254 | nil = sK255, inference(demodulation, [status(thm)], [d0,c212])). % 28.26/6.62 cnf(d2, plain, equalelemsP(sK254), inference(demodulation, [status(thm)], [c216,c213])). % 28.26/6.62 cnf(d3, plain, app(sK254,X0) != sK255 | nil = sK254 | ~ssList(X0) | ~'Ts253'(sK254,X0), inference(resolution, [status(thm)], [d2,c219])). % 28.26/6.62 cnf(d4, plain, app(sK254,sK258) = sK257, inference(demodulation, [status(thm)], [c215,c213])). % 28.26/6.62 cnf(d5, plain, app(sK254,sK258) = sK255, inference(demodulation, [status(thm)], [d4,c212])). % 28.26/6.62 cnf(d6, plain, sK255 != sK255 | nil = sK254 | ~ssList(sK258) | ~'Ts253'(sK254,sK258), inference(superposition, [status(thm)], [d5,d3])). % 28.26/6.62 cnf(d7, plain, nil = sK254 | sK255 != sK255 | ~'Ts253'(sK254,sK258), inference(resolution, [status(thm)], [c214,d6])). % 28.26/6.62 cnf(d8, plain, nil = sK254 | ~'Ts253'(sK254,sK258), inference(equality_resolution, [status(thm)], [d7])). % 28.26/6.62 cnf(d9, plain, app(X0,cons(X1,nil)) != sK254 | app(cons(X1,nil),X2) != sK258 | ~ssItem(X1) | ~ssList(X0) | ~ssList(X2), inference(demodulation, [status(thm)], [c217,c213])). % 28.26/6.62 cnf(d10, plain, nil = sK254 | app(cons(sK263(sK254,sK258),nil),sK264(sK254,sK258)) = sK258, inference(resolution, [status(thm)], [d8,c223])). % 28.26/6.62 cnf(d11, plain, sK258 != sK258 | app(X0,cons(sK263(sK254,sK258),nil)) != sK254 | ~ssItem(sK263(sK254,sK258)) | ~ssList(X0) | ~ssList(sK264(sK254,sK258)) | nil = sK254, inference(superposition, [status(thm)], [d10,d9])). % 28.26/6.62 cnf(d12, plain, nil = sK254 | app(sK265(sK254,sK258),cons(sK263(sK254,sK258),nil)) = sK254, inference(resolution, [status(thm)], [d8,c225])). % 28.26/6.62 cnf(d13, plain, sK254 != sK254 | nil = sK254 | sK258 != sK258 | ~ssItem(sK263(sK254,sK258)) | ~ssList(sK265(sK254,sK258)) | ~ssList(sK264(sK254,sK258)) | nil = sK254, inference(superposition, [status(thm)], [d12,d11])). % 28.26/6.62 cnf(d14, plain, nil = sK254 | sK254 != sK254 | ~ssItem(sK263(sK254,sK258)) | ~ssList(sK264(sK254,sK258)) | ~ssList(sK265(sK254,sK258)), inference(equality_resolution, [status(thm)], [d13])). % 28.26/6.62 cnf(d15, plain, nil = sK254 | ~ssItem(sK263(sK254,sK258)) | ~ssList(sK264(sK254,sK258)) | ~ssList(sK265(sK254,sK258)), inference(equality_resolution, [status(thm)], [d14])). % 28.26/6.62 cnf(d16, plain, nil = sK254 | ~ssItem(sK263(sK254,sK258)) | ~ssList(sK264(sK254,sK258)) | 'Ts253'(sK254,sK258), inference(resolution, [status(thm)], [d15,c224])). % 28.26/6.62 cnf(d17, plain, nil = sK254 | ~ssItem(sK263(sK254,sK258)) | 'Ts253'(sK254,sK258) | 'Ts253'(sK254,sK258), inference(resolution, [status(thm)], [d16,c222])). % 28.26/6.62 cnf(d18, plain, nil = sK254 | 'Ts253'(sK254,sK258) | 'Ts253'(sK254,sK258), inference(resolution, [status(thm)], [d17,c221])). % 28.26/6.62 cnf(d19, plain, nil = sK254 | nil = sK254, inference(resolution, [status(thm)], [d18,d8])). % 28.26/6.62 cnf(d20, plain, nil = sK255, inference(resolution, [status(thm)], [d19,d1])). % 28.26/6.62 cnf(d21, plain, app(nil,sK258) = sK255, inference(demodulation, [status(thm)], [d5,d19])). % 28.26/6.62 cnf(d22, plain, app(nil,sK258) = nil, inference(demodulation, [status(thm)], [d21,d20])). % 28.26/6.62 cnf(d23, plain, app(nil,sK258) = sK258, inference(resolution, [status(thm)], [c111,c214])). % 28.26/6.62 cnf(d24, plain, nil = sK258, inference(demodulation, [status(thm)], [d23,d22])). % 28.26/6.62 cnf(d25, plain, app(sK254,X0) != sK255 | nil != sK255 | ~ssList(X0) | ~'Ts253'(sK254,X0), inference(resolution, [status(thm)], [d2,c220])). % 28.26/6.62 cnf(d26, plain, sK255 != sK255 | nil != sK255 | ~ssList(sK258) | ~'Ts253'(sK254,sK258), inference(superposition, [status(thm)], [d5,d25])). % 28.26/6.62 cnf(d27, plain, nil != sK255 | sK255 != sK255 | ~'Ts253'(sK254,sK258), inference(resolution, [status(thm)], [c214,d26])). % 28.26/6.62 cnf(d28, plain, nil != sK255 | ~'Ts253'(sK254,sK258), inference(equality_resolution, [status(thm)], [d27])). % 28.26/6.62 cnf(d29, plain, nil != sK255 | ~'Ts253'(nil,sK258), inference(demodulation, [status(thm)], [d28,d19])). % 28.26/6.62 cnf(d30, plain, nil != nil | ~'Ts253'(nil,sK258), inference(demodulation, [status(thm)], [d29,d20])). % 28.26/6.62 cnf(d31, plain, ~'Ts253'(nil,sK258), inference(equality_resolution, [status(thm)], [d30])). % 28.26/6.62 cnf(d32, plain, app(sK265(nil,sK258),cons(sK263(nil,sK258),nil)) = nil, inference(resolution, [status(thm)], [d31,c225])). % 28.26/6.62 cnf(d33, plain, app(sK265(nil,nil),cons(sK263(nil,sK258),nil)) = nil, inference(demodulation, [status(thm)], [d32,d24])). % 28.26/6.62 cnf(d34, plain, app(sK265(nil,nil),cons(sK263(nil,nil),nil)) = nil, inference(demodulation, [status(thm)], [d33,d24])). % 28.26/6.62 cnf(d35, plain, ~ssItem(X0) | memberP(app(X1,cons(X0,X2)),X0) | ~ssList(app(X1,cons(X0,X2))) | ~ssList(X2) | ~ssList(X1), inference(equality_resolution, [status(thm)], [c8])). % 28.26/6.62 cnf(d36, plain, memberP(nil,sK263(nil,nil)) | ~ssItem(sK263(nil,nil)) | ~ssList(nil) | ~ssList(sK265(nil,nil)) | ~ssList(app(sK265(nil,nil),cons(sK263(nil,nil),nil))), inference(superposition, [status(thm)], [d34,d35])). % 28.26/6.62 cnf(d37, plain, ~ssItem(sK263(nil,nil)) | memberP(nil,sK263(nil,nil)) | ~ssList(nil) | ~ssList(nil) | ~ssList(sK265(nil,nil)), inference(demodulation, [status(thm)], [d36,d34])). % 28.26/6.62 cnf(d38, plain, ~ssItem(sK263(nil,nil)) | memberP(nil,sK263(nil,nil)) | ~ssList(nil) | ~ssList(sK265(nil,nil)), inference(resolution, [status(thm)], [c97,d37])). % 28.26/6.62 cnf(d39, plain, ~ssItem(sK263(nil,nil)) | ~ssList(nil) | ~ssList(sK265(nil,nil)) | ~ssItem(sK263(nil,nil)), inference(resolution, [status(thm)], [d38,c127])). % 28.26/6.62 cnf(d40, plain, ~ssItem(sK263(nil,nil)) | ~ssList(sK265(nil,nil)), inference(resolution, [status(thm)], [c97,d39])). % 28.26/6.62 cnf(d41, plain, ~ssItem(sK263(nil,nil)) | 'Ts253'(nil,nil), inference(resolution, [status(thm)], [d40,c224])). % 28.26/6.62 cnf(d42, plain, ~'Ts253'(nil,nil), inference(demodulation, [status(thm)], [d31,d24])). % 28.26/6.62 cnf(d43, plain, ~ssItem(sK263(nil,nil)), inference(resolution, [status(thm)], [d42,d41])). % 28.26/6.62 cnf(d44, plain, 'Ts253'(nil,nil), inference(resolution, [status(thm)], [d43,c221])). % 28.26/6.62 cnf(d45, plain, $false, inference(resolution, [status(thm)], [d42,d44])). % 28.26/6.62 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------