%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC256+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 : n003.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 08:54:46 AM UTC 2026 % Result : Theorem 7.44s 3.36s % Output : CNFRefutation 7.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC256+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 % 0.11/0.38 % Computer : n003.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 26 12:39:25 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.44/3.36 % SZS status Theorem for theBenchmark.p % 7.44/3.36 % SZS output start CNFRefutation for theBenchmark.p % 7.44/3.36 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 7.44/3.36 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 7.44/3.36 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | (singletonP(X0) | (! [X4] : ((ssItem(X4) => (cons(X4,nil) != X2 | ~memberP(X3,X4)))) & (nil != X3 | nil != X2))))))))))))))). % 7.44/3.36 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | (singletonP(X0) | (! [X4] : ((ssItem(X4) => (cons(X4,nil) != X2 | ~memberP(X3,X4)))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 7.44/3.36 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 7.44/3.36 cnf(c94, plain, ~ssList(X0) | ~ssList(X1) | ~neq(X0,X1) | X0 != X1, inference(clausification, [status(esa)], [ax15])). % 7.44/3.36 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c214, plain, neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c215, plain, ~singletonP(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c216, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c217, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c218, plain, X0(X1,X2) | ssItem(sK258(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(c219, plain, X0(X1,X2) | cons(sK258(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 7.44/3.36 cnf(d0, plain, cons(sK258(sK256,sK257),nil) = sK256 | nil = sK256, inference(resolution, [status(thm)], [c219,c217])). % 7.44/3.36 cnf(d1, plain, sK256 != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK256, inference(superposition, [status(thm)], [d0,c11])). % 7.44/3.36 cnf(d2, plain, nil = sK256 | ~ssItem(sK258(sK256,sK257)) | ~ssList(sK256) | singletonP(sK256), inference(equality_resolution, [status(thm)], [d1])). % 7.44/3.36 cnf(d3, plain, nil = sK256 | ~ssItem(sK258(sK256,sK257)) | singletonP(sK256), inference(resolution, [status(thm)], [c210,d2])). % 7.44/3.36 cnf(d4, plain, ~singletonP(sK256), inference(demodulation, [status(thm)], [c215,c213])). % 7.44/3.36 cnf(d5, plain, nil = sK256 | ~ssItem(sK258(sK256,sK257)), inference(resolution, [status(thm)], [d4,d3])). % 7.44/3.36 cnf(d6, plain, nil = sK256 | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d5,c218])). % 7.44/3.36 cnf(d7, plain, nil = sK256 | nil = sK256, inference(resolution, [status(thm)], [d6,c217])). % 7.44/3.36 cnf(d8, plain, nil = sK257 | ~'Ts253'(nil,sK257), inference(demodulation, [status(thm)], [c216,d7])). % 7.44/3.36 cnf(d9, plain, cons(sK258(sK256,sK257),nil) = sK256 | nil = sK257, inference(resolution, [status(thm)], [c219,c216])). % 7.44/3.36 cnf(d10, plain, sK256 != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK257, inference(superposition, [status(thm)], [d9,c11])). % 7.44/3.36 cnf(d11, plain, nil = sK257 | nil != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0), inference(demodulation, [status(thm)], [d10,d7])). % 7.44/3.36 cnf(d12, plain, nil = sK257 | nil != X0 | ~ssItem(sK258(nil,sK257)) | ~ssList(X0) | singletonP(X0), inference(demodulation, [status(thm)], [d11,d7])). % 7.44/3.36 cnf(d13, plain, nil = sK257 | ~ssItem(sK258(nil,sK257)) | ~ssList(nil) | singletonP(nil), inference(equality_resolution, [status(thm)], [d12])). % 7.44/3.36 cnf(d14, plain, ~singletonP(nil), inference(demodulation, [status(thm)], [d4,d7])). % 7.44/3.36 cnf(d15, plain, nil = sK257 | ~ssItem(sK258(nil,sK257)) | ~ssList(nil), inference(resolution, [status(thm)], [d14,d13])). % 7.44/3.36 cnf(d16, plain, ssList(nil), inference(demodulation, [status(thm)], [c210,d7])). % 7.44/3.36 cnf(d17, plain, nil = sK257 | ~ssItem(sK258(nil,sK257)), inference(resolution, [status(thm)], [d16,d15])). % 7.44/3.36 cnf(d18, plain, nil = sK257 | 'Ts253'(nil,sK257), inference(resolution, [status(thm)], [d17,c218])). % 7.44/3.36 cnf(d19, plain, nil = sK257 | nil = sK257, inference(resolution, [status(thm)], [d18,d8])). % 7.44/3.36 cnf(d20, plain, neq(sK257,nil), inference(demodulation, [status(thm)], [c214,c212])). % 7.44/3.36 cnf(d21, plain, neq(nil,nil), inference(demodulation, [status(thm)], [d20,d19])). % 7.44/3.36 cnf(d22, plain, ~neq(X0,X0) | ~ssList(X0) | ~ssList(X0), inference(equality_resolution, [status(thm)], [c94])). % 7.44/3.36 cnf(d23, plain, ~ssList(nil), inference(resolution, [status(thm)], [d22,d21])). % 7.44/3.36 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d16,d23])). % 7.44/3.36 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------