%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC207+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 : 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 08:54:36 AM UTC 2026 % Result : Theorem 23.04s 3.75s % Output : CNFRefutation 23.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWC207+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n017.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 12:26:48 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 23.04/3.75 % SZS status Theorem for theBenchmark.p % 23.04/3.75 % SZS output start CNFRefutation for theBenchmark.p % 23.04/3.75 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 23.04/3.75 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 23.04/3.75 fof(ax17, axiom, ssList(nil)). % 23.04/3.75 fof(ax39, axiom, ~singletonP(nil)). % 23.04/3.75 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | (neq(X0,nil) | (! [X4] : ((ssItem(X4) => (cons(X4,nil) != X2 | (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X4,X5))))))))) & (nil != X3 | nil != X2))))))))))))))). % 23.04/3.75 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~neq(X1,nil) | (neq(X0,nil) | (! [X4] : ((ssItem(X4) => (cons(X4,nil) != X2 | (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X4,X5))))))))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 23.04/3.75 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 23.04/3.75 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 23.04/3.75 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 23.04/3.75 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 23.04/3.75 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c214, plain, neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c215, plain, ~neq(sK254,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c216, plain, ~X0(sK256,sK257) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c218, plain, X0(X1,X2) | ssItem(sK258(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(c219, plain, X0(X1,X2) | cons(sK258(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 23.04/3.75 cnf(d0, plain, ~neq(sK256,nil), inference(demodulation, [status(thm)], [c215,c213])). % 23.04/3.75 cnf(d1, plain, sK256 = nil | ~ssList(nil) | ~ssList(sK256), inference(resolution, [status(thm)], [c95,d0])). % 23.04/3.75 cnf(d2, plain, sK256 = nil | ~ssList(nil), inference(resolution, [status(thm)], [c210,d1])). % 23.04/3.75 cnf(d3, plain, sK256 = nil, inference(resolution, [status(thm)], [c97,d2])). % 23.04/3.75 cnf(d4, plain, cons(sK258(sK256,sK257),nil) = sK256 | nil = sK257, inference(resolution, [status(thm)], [c219,c216])). % 23.04/3.75 cnf(d5, plain, sK256 != X0 | ~ssItem(sK258(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK257, inference(superposition, [status(thm)], [d4,c11])). % 23.04/3.75 cnf(d6, plain, nil = sK257 | ~ssItem(sK258(sK256,sK257)) | ~ssList(sK256) | singletonP(sK256), inference(equality_resolution, [status(thm)], [d5])). % 23.04/3.75 cnf(d7, plain, nil = sK257 | ~ssItem(sK258(sK256,sK257)) | singletonP(sK256), inference(resolution, [status(thm)], [c210,d6])). % 23.04/3.75 cnf(d8, plain, nil = sK257 | singletonP(sK256) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d7,c218])). % 23.04/3.75 cnf(d9, plain, nil = sK257 | singletonP(sK256) | nil = sK257, inference(resolution, [status(thm)], [d8,c216])). % 23.04/3.75 cnf(d10, plain, nil = sK257 | singletonP(nil), inference(demodulation, [status(thm)], [d9,d3])). % 23.04/3.75 cnf(d11, plain, nil = sK257, inference(resolution, [status(thm)], [c128,d10])). % 23.04/3.75 cnf(d12, plain, neq(sK257,nil), inference(demodulation, [status(thm)], [c214,c212])). % 23.04/3.75 cnf(d13, plain, neq(nil,nil), inference(demodulation, [status(thm)], [d12,d11])). % 23.04/3.75 cnf(d14, plain, ~neq(nil,nil), inference(demodulation, [status(thm)], [d0,d3])). % 23.04/3.75 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d14,d13])). % 23.04/3.75 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------