%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC322+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 : n006.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 08:54:58 AM UTC 2026 % Result : Theorem 24.86s 3.70s % Output : CNFRefutation 24.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : SWC322+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.17/0.43 % Computer : n006.cluster.edu % 0.17/0.43 % Model : x86_64 x86_64 % 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.43 % Memory : 8046.5625MB % 0.17/0.43 % OS : Linux 6.8.0-71-generic % 0.17/0.43 % CPULimit : 300 % 0.17/0.43 % WCLimit : 300 % 0.17/0.43 % DateTime : Sat Sep 26 12:47:40 UTC 2026 % 0.17/0.44 % CPUTime : % 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 24.86/3.70 % SZS status Theorem for theBenchmark.p % 24.86/3.70 % SZS output start CNFRefutation for theBenchmark.p % 24.86/3.70 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & (app(cons(X4,nil),X5) != X2 & app(X5,cons(X4,nil)) = X3))))) | ((nil != X2 & nil = X3) | (! [X6] : ((ssItem(X6) => ! [X7] : ((ssList(X7) => (app(X7,cons(X6,nil)) != X1 | app(cons(X6,nil),X7) = X0))))) & (nil != X1 | nil = X0))))))))))))))). % 24.86/3.70 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] : ((ssList(X5) & (app(cons(X4,nil),X5) != X2 & app(X5,cons(X4,nil)) = X3))))) | ((nil != X2 & nil = X3) | (! [X6] : ((ssItem(X6) => ! [X7] : ((ssList(X7) => (app(X7,cons(X6,nil)) != X1 | app(cons(X6,nil),X7) = X0))))) & (nil != X1 | nil = X0)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 24.86/3.70 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c214, plain, ~ssItem(X0) | ~ssList(X1) | app(cons(X0,nil),X1) = sK256 | app(X1,cons(X0,nil)) != sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c215, plain, nil = sK256 | nil != sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c216, plain, ~X0(sK254,sK255) | nil = sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c217, plain, ~X0(sK254,sK255) | nil != sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c218, plain, X0(X1,X2) | ssItem(sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c219, plain, X0(X1,X2) | ssList(sK261(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c220, plain, X0(X1,X2) | app(sK261(X1,X2),cons(sK260(X1,X2),nil)) = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(c221, plain, X0(X1,X2) | app(cons(sK260(X1,X2),nil),sK261(X1,X2)) != X1, inference(clausification, [status(esa)], [negated_conjecture])). % 24.86/3.70 cnf(d0, plain, nil = sK254 | nil != sK257, inference(demodulation, [status(thm)], [c215,c213])). % 24.86/3.70 cnf(d1, plain, nil = sK254 | nil != sK255, inference(demodulation, [status(thm)], [d0,c212])). % 24.86/3.70 cnf(d2, plain, app(X0,cons(X1,nil)) != sK255 | app(cons(X1,nil),X0) = sK256 | ~ssItem(X1) | ~ssList(X0), inference(demodulation, [status(thm)], [c214,c212])). % 24.86/3.70 cnf(d3, plain, app(X0,cons(X1,nil)) != sK255 | app(cons(X1,nil),X0) = sK254 | ~ssItem(X1) | ~ssList(X0), inference(demodulation, [status(thm)], [d2,c213])). % 24.86/3.70 cnf(d4, plain, app(sK261(sK254,sK255),cons(sK260(sK254,sK255),nil)) = sK255 | nil = sK255, inference(resolution, [status(thm)], [c220,c216])). % 24.86/3.70 cnf(d5, plain, sK255 != sK255 | app(cons(sK260(sK254,sK255),nil),sK261(sK254,sK255)) = sK254 | ~ssItem(sK260(sK254,sK255)) | ~ssList(sK261(sK254,sK255)) | nil = sK255, inference(superposition, [status(thm)], [d4,d3])). % 24.86/3.70 cnf(d6, plain, app(cons(sK260(sK254,sK255),nil),sK261(sK254,sK255)) = sK254 | nil = sK255 | ~ssItem(sK260(sK254,sK255)) | ~ssList(sK261(sK254,sK255)), inference(equality_resolution, [status(thm)], [d5])). % 24.86/3.70 cnf(d7, plain, app(cons(sK260(sK254,sK255),nil),sK261(sK254,sK255)) = sK254 | nil = sK255 | ~ssItem(sK260(sK254,sK255)) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d6,c219])). % 24.86/3.70 cnf(d8, plain, app(cons(sK260(sK254,sK255),nil),sK261(sK254,sK255)) = sK254 | nil = sK255 | 'Ts253'(sK254,sK255) | 'Ts253'(sK254,sK255), inference(resolution, [status(thm)], [d7,c218])). % 24.86/3.70 cnf(d9, plain, app(cons(sK260(sK254,sK255),nil),sK261(sK254,sK255)) = sK254 | nil = sK255 | nil = sK255, inference(resolution, [status(thm)], [d8,c216])). % 24.86/3.70 cnf(d10, plain, sK254 != sK254 | 'Ts253'(sK254,sK255) | nil = sK255, inference(superposition, [status(thm)], [d9,c221])). % 24.86/3.70 cnf(d11, plain, nil = sK255 | 'Ts253'(sK254,sK255), inference(equality_resolution, [status(thm)], [d10])). % 24.86/3.70 cnf(d12, plain, nil = sK255 | nil = sK255, inference(resolution, [status(thm)], [d11,c216])). % 24.86/3.70 cnf(d13, plain, nil = sK254, inference(resolution, [status(thm)], [d12,d1])). % 24.86/3.70 cnf(d14, plain, app(X0,cons(X1,nil)) != nil | app(cons(X1,nil),X0) = sK254 | ~ssItem(X1) | ~ssList(X0), inference(demodulation, [status(thm)], [d3,d12])). % 24.86/3.70 cnf(d15, plain, app(X0,cons(X1,nil)) != nil | app(cons(X1,nil),X0) = nil | ~ssItem(X1) | ~ssList(X0), inference(demodulation, [status(thm)], [d14,d13])). % 24.86/3.70 cnf(d16, plain, nil != sK254 | ~'Ts253'(sK254,nil), inference(demodulation, [status(thm)], [c217,d12])). % 24.86/3.70 cnf(d17, plain, nil != nil | ~'Ts253'(sK254,nil), inference(demodulation, [status(thm)], [d16,d13])). % 24.86/3.70 cnf(d18, plain, nil != nil | ~'Ts253'(nil,nil), inference(demodulation, [status(thm)], [d17,d13])). % 24.86/3.70 cnf(d19, plain, ~'Ts253'(nil,nil), inference(equality_resolution, [status(thm)], [d18])). % 24.86/3.70 cnf(d20, plain, app(sK261(nil,nil),cons(sK260(nil,nil),nil)) = nil, inference(resolution, [status(thm)], [d19,c220])). % 24.86/3.70 cnf(d21, plain, nil != nil | app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil | ~ssItem(sK260(nil,nil)) | ~ssList(sK261(nil,nil)), inference(superposition, [status(thm)], [d20,d15])). % 24.86/3.70 cnf(d22, plain, app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil | ~ssItem(sK260(nil,nil)) | ~ssList(sK261(nil,nil)), inference(equality_resolution, [status(thm)], [d21])). % 24.86/3.70 cnf(d23, plain, app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil | ~ssItem(sK260(nil,nil)) | 'Ts253'(nil,nil), inference(resolution, [status(thm)], [d22,c219])). % 24.86/3.70 cnf(d24, plain, app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil | ~ssItem(sK260(nil,nil)), inference(resolution, [status(thm)], [d19,d23])). % 24.86/3.70 cnf(d25, plain, app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil | 'Ts253'(nil,nil), inference(resolution, [status(thm)], [d24,c218])). % 24.86/3.70 cnf(d26, plain, app(cons(sK260(nil,nil),nil),sK261(nil,nil)) = nil, inference(resolution, [status(thm)], [d19,d25])). % 24.86/3.70 cnf(d27, plain, nil != nil | 'Ts253'(nil,nil), inference(superposition, [status(thm)], [d26,c221])). % 24.86/3.70 cnf(d28, plain, nil != nil, inference(resolution, [status(thm)], [d19,d27])). % 24.86/3.70 cnf(d29, plain, $false, inference(equality_resolution, [status(thm)], [d28])). % 24.86/3.70 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------