%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC392+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 : n012.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 08:55:14 AM UTC 2026 % Result : Theorem 31.63s 6.61s % Output : CNFRefutation 31.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : SWC392+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Sat Sep 26 12:57:04 UTC 2026 % 0.03/0.30 % CPUTime : % 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 31.63/6.61 % SZS status Theorem for theBenchmark.p % 31.63/6.61 % SZS output start CNFRefutation for theBenchmark.p % 31.63/6.61 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 31.63/6.61 fof(ax17, axiom, ssList(nil)). % 31.63/6.61 fof(ax37, axiom, ! [X0] : ((ssItem(X0) => ! [X1] : ((ssItem(X1) => ! [X2] : ((ssList(X2) => (memberP(cons(X1,X2),X0) <=> (X0 = X1 | memberP(X2,X0)))))))))). % 31.63/6.61 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 31.63/6.61 fof(ax39, axiom, ~singletonP(nil)). % 31.63/6.61 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssItem(X4) => (~memberP(X0,X4) | memberP(X1,X4)))) | (! [X5] : ((ssItem(X5) => (cons(X5,nil) != X2 | (~memberP(X3,X5) | ? [X6] : ((ssItem(X6) & (X5 != X6 & (memberP(X3,X6) & leq(X6,X5))))))))) & (nil != X3 | nil != X2)))))))))))))). % 31.63/6.61 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (! [X4] : ((ssItem(X4) => (~memberP(X0,X4) | memberP(X1,X4)))) | (! [X5] : ((ssItem(X5) => (cons(X5,nil) != X2 | (~memberP(X3,X5) | ? [X6] : ((ssItem(X6) & (X5 != X6 & (memberP(X3,X6) & leq(X6,X5))))))))) & (nil != X3 | nil != X2))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 31.63/6.61 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 31.63/6.61 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 31.63/6.61 cnf(c124, plain, ~memberP(cons(X0,X1),X2) | X2 = X0 | ~ssList(X1) | ~ssItem(X0) | ~ssItem(X2) | memberP(X1,X2), inference(clausification, [status(esa)], [ax37])). % 31.63/6.61 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 31.63/6.61 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 31.63/6.61 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c214, plain, ssItem(sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c215, plain, memberP(sK254,sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c216, plain, ~memberP(sK255,sK258), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c217, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c218, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c219, plain, X0(X1,X2) | ssItem(sK259(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c220, plain, X0(X1,X2) | cons(sK259(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(c221, plain, X0(X1,X2) | memberP(X2,sK259(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 31.63/6.61 cnf(d0, plain, memberP(sK256,sK258), inference(demodulation, [status(thm)], [c215,c213])). % 31.63/6.61 cnf(d1, plain, ~memberP(X0,X2) | X2 = sK259(X0,X1) | ~ssItem(sK259(X0,X1)) | ~ssItem(X2) | memberP(nil,X2) | ~ssList(nil) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c220,c124])). % 31.63/6.61 cnf(d2, plain, X0 = sK259(X1,X2) | ~ssItem(X0) | ~ssItem(sK259(X1,X2)) | ~memberP(X1,X0) | memberP(nil,X0) | 'Ts253'(X1,X2), inference(resolution, [status(thm)], [c97,d1])). % 31.63/6.61 cnf(d3, plain, memberP(X1,X2) | 'Ts253'(X0,X1) | ~ssItem(X2) | ~ssItem(sK259(X0,X1)) | ~memberP(X0,X2) | memberP(nil,X2) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [d2,c221])). % 31.63/6.61 cnf(d4, plain, ~ssItem(X0) | memberP(X1,X0) | ~memberP(X2,X0) | memberP(nil,X0) | 'Ts253'(X2,X1) | 'Ts253'(X2,X1), inference(resolution, [status(thm)], [d3,c219])). % 31.63/6.61 cnf(d5, plain, ~ssItem(sK258) | memberP(X0,sK258) | memberP(nil,sK258) | 'Ts253'(sK256,X0), inference(resolution, [status(thm)], [d4,d0])). % 31.63/6.61 cnf(d6, plain, memberP(X0,sK258) | memberP(nil,sK258) | 'Ts253'(sK256,X0), inference(resolution, [status(thm)], [c214,d5])). % 31.63/6.61 cnf(d7, plain, memberP(sK257,sK258) | memberP(nil,sK258) | nil = sK257, inference(resolution, [status(thm)], [d6,c217])). % 31.63/6.61 cnf(d8, plain, ~memberP(sK257,sK258), inference(demodulation, [status(thm)], [c216,c212])). % 31.63/6.61 cnf(d9, plain, nil = sK257 | memberP(nil,sK258), inference(resolution, [status(thm)], [d8,d7])). % 31.63/6.61 cnf(d10, plain, nil = sK257 | ~ssItem(sK258), inference(resolution, [status(thm)], [d9,c127])). % 31.63/6.61 cnf(d11, plain, nil = sK257, inference(resolution, [status(thm)], [c214,d10])). % 31.63/6.61 cnf(d12, plain, nil = sK256 | ~'Ts253'(sK256,nil), inference(demodulation, [status(thm)], [c218,d11])). % 31.63/6.61 cnf(d13, plain, ~ssItem(sK259(X0,nil)) | 'Ts253'(X0,nil), inference(resolution, [status(thm)], [c127,c221])). % 31.63/6.61 cnf(d14, plain, 'Ts253'(X0,nil) | 'Ts253'(X0,nil), inference(resolution, [status(thm)], [d13,c219])). % 31.63/6.61 cnf(d15, plain, nil = sK256, inference(resolution, [status(thm)], [d14,d12])). % 31.63/6.61 cnf(d16, plain, X0 != X2 | ~ssItem(sK259(X0,X1)) | ~ssList(X2) | singletonP(X2) | 'Ts253'(X0,X1), inference(superposition, [status(thm)], [c220,c11])). % 31.63/6.61 cnf(d17, plain, ~ssItem(sK259(X0,X1)) | ~ssList(X0) | singletonP(X0) | 'Ts253'(X0,X1), inference(equality_resolution, [status(thm)], [d16])). % 31.63/6.61 cnf(d18, plain, ~ssList(X0) | singletonP(X0) | 'Ts253'(X0,X1) | 'Ts253'(X0,X1), inference(resolution, [status(thm)], [d17,c219])). % 31.63/6.61 cnf(d19, plain, ~ssList(sK256) | singletonP(sK256) | nil = sK257, inference(resolution, [status(thm)], [d18,c217])). % 31.63/6.61 cnf(d20, plain, nil = sK257 | singletonP(sK256), inference(resolution, [status(thm)], [c210,d19])). % 31.63/6.61 cnf(d21, plain, ~memberP(nil,sK258) | singletonP(sK256), inference(superposition, [status(thm)], [d20,d8])). % 31.63/6.61 cnf(d22, plain, ~ssList(sK256) | singletonP(sK256) | nil = sK256, inference(resolution, [status(thm)], [d18,c218])). % 31.63/6.61 cnf(d23, plain, nil = sK256 | singletonP(sK256), inference(resolution, [status(thm)], [c210,d22])). % 31.63/6.61 cnf(d24, plain, memberP(nil,sK258) | singletonP(sK256), inference(superposition, [status(thm)], [d23,d0])). % 31.63/6.61 cnf(d25, plain, singletonP(sK256) | singletonP(sK256), inference(resolution, [status(thm)], [d24,d21])). % 31.63/6.61 cnf(d26, plain, singletonP(nil), inference(demodulation, [status(thm)], [d25,d15])). % 31.63/6.61 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c128,d26])). % 31.63/6.61 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------