%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM427+1 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n019.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 08:12:42 AM UTC 2026 % Result : Theorem 56.55s 8.66s % Output : CNFRefutation 56.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM427+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.37 % Computer : n019.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 26 02:41:19 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 56.55/8.66 % SZS status Theorem for theBenchmark.p % 56.55/8.66 % SZS output start CNFRefutation for theBenchmark.p % 56.55/8.66 fof(mIntNeg, axiom, ! [X0] : ((aInteger0(X0) => aInteger0(smndt0(X0))))). % 56.55/8.66 fof(mIntMult, axiom, ! [X0] : ! [X1] : (((aInteger0(X0) & aInteger0(X1)) => aInteger0(sdtasdt0(X0,X1))))). % 56.55/8.66 fof(mDivisor, definition, ! [X0] : ((aInteger0(X0) => ! [X1] : ((aDivisorOf0(X1,X0) <=> (aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0))))))))). % 56.55/8.66 fof(mEquMod, definition, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))))). % 56.55/8.66 fof(m__704, hypothesis, (aInteger0(xa) & (aInteger0(xb) & (aInteger0(xq) & xq != sz00)))). % 56.55/8.66 fof(m__747, hypothesis, (aInteger0(xn) & sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)))). % 56.55/8.66 fof(m__767, hypothesis, sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa))). % 56.55/8.66 fof(m__, conjecture, sdteqdtlpzmzozddtrp0(xb,xa,xq)). % 56.55/8.66 fof(negated_conjecture, negated_conjecture, ~sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(negate_conjecture, [status(cth)], [m__])). % 56.55/8.66 cnf(c2, plain, ~aInteger0(X0) | aInteger0(smndt0(X0)), inference(clausification, [status(esa)], [mIntNeg])). % 56.55/8.66 cnf(c4, plain, ~aInteger0(X0) | ~aInteger0(X1) | aInteger0(sdtasdt0(X1,X0)), inference(clausification, [status(esa)], [mIntMult])). % 56.55/8.66 cnf(c22, plain, ~aInteger0(X0) | X1(X0), inference(clausification, [status(esa)], [mDivisor])). % 56.55/8.66 cnf(c27, plain, ~aInteger0(X0) | sdtasdt0(X1,X0) != X2 | aDivisorOf0(X1,X2) | ~X3(X2) | X1 = sz00 | ~aInteger0(X1), inference(clausification, [status(esa)], [mDivisor])). % 56.55/8.66 cnf(c29, plain, ~aInteger0(X0) | sdteqdtlpzmzozddtrp0(X0,X1,X2) | ~aInteger0(X1) | ~aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) | ~aInteger0(X2) | X2 = sz00, inference(clausification, [status(esa)], [mEquMod])). % 56.55/8.66 cnf(c31, plain, aInteger0(xa), inference(clausification, [status(esa)], [m__704])). % 56.55/8.66 cnf(c32, plain, aInteger0(xq), inference(clausification, [status(esa)], [m__704])). % 56.55/8.66 cnf(c33, plain, xq != sz00, inference(clausification, [status(esa)], [m__704])). % 56.55/8.66 cnf(c34, plain, aInteger0(xb), inference(clausification, [status(esa)], [m__704])). % 56.55/8.66 cnf(c36, plain, aInteger0(xn), inference(clausification, [status(esa)], [m__747])). % 56.55/8.66 cnf(c38, plain, sdtpldt0(xb,smndt0(xa)) = sdtasdt0(xq,smndt0(xn)), inference(clausification, [status(esa)], [m__767])). % 56.55/8.66 cnf(c39, plain, ~sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(clausification, [status(esa)], [negated_conjecture])). % 56.55/8.66 cnf(d0, plain, 'Ts25'(sdtasdt0(X0,X1)) | ~aInteger0(X0) | ~aInteger0(X1), inference(resolution, [status(thm)], [c22,c4])). % 56.55/8.66 cnf(d1, plain, X0 = sz00 | ~aInteger0(X1) | ~aInteger0(X0) | ~'Ts25'(sdtasdt0(X0,X1)) | aDivisorOf0(X0,sdtasdt0(X0,X1)), inference(equality_resolution, [status(thm)], [c27])). % 56.55/8.66 cnf(d2, plain, ~aDivisorOf0(X0,sdtasdt0(xq,smndt0(xn))) | X0 = sz00 | ~aInteger0(xb) | ~aInteger0(xa) | ~aInteger0(X0) | sdteqdtlpzmzozddtrp0(xb,xa,X0), inference(superposition, [status(thm)], [c38,c29])). % 56.55/8.66 cnf(d3, plain, X0 = sz00 | ~aInteger0(X0) | ~aInteger0(xb) | ~aDivisorOf0(X0,sdtasdt0(xq,smndt0(xn))) | sdteqdtlpzmzozddtrp0(xb,xa,X0), inference(resolution, [status(thm)], [c31,d2])). % 56.55/8.66 cnf(d4, plain, X0 = sz00 | ~aInteger0(X0) | ~aDivisorOf0(X0,sdtasdt0(xq,smndt0(xn))) | sdteqdtlpzmzozddtrp0(xb,xa,X0), inference(resolution, [status(thm)], [c34,d3])). % 56.55/8.66 cnf(d5, plain, xq = sz00 | ~aInteger0(xq) | sdteqdtlpzmzozddtrp0(xb,xa,xq) | xq = sz00 | ~aInteger0(smndt0(xn)) | ~aInteger0(xq) | ~'Ts25'(sdtasdt0(xq,smndt0(xn))), inference(resolution, [status(thm)], [d4,d1])). % 56.55/8.66 cnf(d6, plain, xq = sz00 | ~aInteger0(smndt0(xn)) | ~'Ts25'(sdtasdt0(xq,smndt0(xn))) | sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [c32,d5])). % 56.55/8.66 cnf(d7, plain, ~aInteger0(smndt0(xn)) | ~'Ts25'(sdtasdt0(xq,smndt0(xn))) | sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [c33,d6])). % 56.55/8.66 cnf(d8, plain, ~aInteger0(smndt0(xn)) | ~'Ts25'(sdtasdt0(xq,smndt0(xn))), inference(resolution, [status(thm)], [c39,d7])). % 56.55/8.66 cnf(d9, plain, ~aInteger0(smndt0(xn)) | ~aInteger0(smndt0(xn)) | ~aInteger0(xq), inference(resolution, [status(thm)], [d8,d0])). % 56.55/8.66 cnf(d10, plain, ~aInteger0(smndt0(xn)), inference(resolution, [status(thm)], [c32,d9])). % 56.55/8.66 cnf(d11, plain, ~aInteger0(xn), inference(resolution, [status(thm)], [d10,c2])). % 56.55/8.66 cnf(d12, plain, $false, inference(resolution, [status(thm)], [c36,d11])). % 56.55/8.66 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------