%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM423+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 : n018.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 08:12:41 AM UTC 2026 % Result : Theorem 16.05s 2.45s % Output : CNFRefutation 16.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM423+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 % 0.08/0.35 % Computer : n018.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 02:42:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.05/2.45 % SZS status Theorem for theBenchmark.p % 16.05/2.45 % SZS output start CNFRefutation for theBenchmark.p % 16.05/2.45 fof(mIntZero, axiom, aInteger0(sz00)). % 16.05/2.45 fof(mAddNeg, axiom, ! [X0] : ((aInteger0(X0) => (sdtpldt0(X0,smndt0(X0)) = sz00 & sz00 = sdtpldt0(smndt0(X0),X0))))). % 16.05/2.45 fof(mMulZero, axiom, ! [X0] : ((aInteger0(X0) => (sdtasdt0(X0,sz00) = sz00 & sz00 = sdtasdt0(sz00,X0))))). % 16.05/2.45 fof(mDivisor, definition, ! [X0] : ((aInteger0(X0) => ! [X1] : ((aDivisorOf0(X1,X0) <=> (aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0))))))))). % 16.05/2.45 fof(mEquMod, definition, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))))). % 16.05/2.45 fof(m__671, hypothesis, (aInteger0(xa) & (aInteger0(xq) & xq != sz00))). % 16.05/2.45 fof(m__, conjecture, sdteqdtlpzmzozddtrp0(xa,xa,xq)). % 16.05/2.45 fof(negated_conjecture, negated_conjecture, ~sdteqdtlpzmzozddtrp0(xa,xa,xq), inference(negate_conjecture, [status(cth)], [m__])). % 16.05/2.45 cnf(c0, plain, aInteger0(sz00), inference(clausification, [status(esa)], [mIntZero])). % 16.05/2.45 cnf(c9, plain, ~aInteger0(X0) | sdtpldt0(X0,smndt0(X0)) = sz00, inference(clausification, [status(esa)], [mAddNeg])). % 16.05/2.45 cnf(c17, plain, ~aInteger0(X0) | sdtasdt0(X0,sz00) = sz00, inference(clausification, [status(esa)], [mMulZero])). % 16.05/2.45 cnf(c23, plain, ~aInteger0(X0) | aDivisorOf0(X1,X0) | ~X2(X0,X1), inference(clausification, [status(esa)], [mDivisor])). % 16.05/2.45 cnf(c28, plain, ~aInteger0(X0) | sdtasdt0(X0,X1) != X2 | X3(X2,X0) | X0 = sz00 | ~aInteger0(X1), inference(clausification, [status(esa)], [mDivisor])). % 16.05/2.45 cnf(c30, plain, ~aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) | ~aInteger0(X0) | ~aInteger0(X1) | sdteqdtlpzmzozddtrp0(X1,X2,X0) | ~aInteger0(X2) | X0 = sz00, inference(clausification, [status(esa)], [mEquMod])). % 16.05/2.45 cnf(c31, plain, aInteger0(xa), inference(clausification, [status(esa)], [m__671])). % 16.05/2.45 cnf(c32, plain, aInteger0(xq), inference(clausification, [status(esa)], [m__671])). % 16.05/2.45 cnf(c33, plain, xq != sz00, inference(clausification, [status(esa)], [m__671])). % 16.05/2.45 cnf(c34, plain, ~sdteqdtlpzmzozddtrp0(xa,xa,xq), inference(clausification, [status(esa)], [negated_conjecture])). % 16.05/2.45 cnf(d0, plain, sdtpldt0(xa,smndt0(xa)) = sz00, inference(resolution, [status(thm)], [c9,c31])). % 16.05/2.45 cnf(d1, plain, ~aDivisorOf0(X0,sz00) | X0 = sz00 | ~aInteger0(X0) | ~aInteger0(xa) | ~aInteger0(xa) | sdteqdtlpzmzozddtrp0(xa,xa,X0), inference(superposition, [status(thm)], [d0,c30])). % 16.05/2.45 cnf(d2, plain, X0 = sz00 | ~aInteger0(X0) | ~aDivisorOf0(X0,sz00) | sdteqdtlpzmzozddtrp0(xa,xa,X0), inference(resolution, [status(thm)], [c31,d1])). % 16.05/2.45 cnf(d3, plain, xq = sz00 | ~aInteger0(xq) | ~aDivisorOf0(xq,sz00), inference(resolution, [status(thm)], [d2,c34])). % 16.05/2.45 cnf(d4, plain, xq = sz00 | ~aDivisorOf0(xq,sz00), inference(resolution, [status(thm)], [c32,d3])). % 16.05/2.45 cnf(d5, plain, ~aDivisorOf0(xq,sz00), inference(resolution, [status(thm)], [c33,d4])). % 16.05/2.45 cnf(d6, plain, sdtasdt0(xq,sz00) = sz00, inference(resolution, [status(thm)], [c17,c32])). % 16.05/2.45 cnf(d7, plain, sz00 != X0 | xq = sz00 | ~aInteger0(xq) | ~aInteger0(sz00) | 'Ts26'(X0,xq), inference(superposition, [status(thm)], [d6,c28])). % 16.05/2.45 cnf(d8, plain, sz00 != X0 | xq = sz00 | ~aInteger0(xq) | 'Ts26'(X0,xq), inference(resolution, [status(thm)], [c0,d7])). % 16.05/2.45 cnf(d9, plain, sz00 != X0 | xq = sz00 | 'Ts26'(X0,xq), inference(resolution, [status(thm)], [c32,d8])). % 16.05/2.45 cnf(d10, plain, sz00 != X0 | 'Ts26'(X0,xq), inference(resolution, [status(thm)], [c33,d9])). % 16.05/2.45 cnf(d11, plain, 'Ts26'(sz00,xq), inference(equality_resolution, [status(thm)], [d10])). % 16.05/2.45 cnf(d12, plain, ~aInteger0(sz00) | aDivisorOf0(xq,sz00), inference(resolution, [status(thm)], [d11,c23])). % 16.05/2.45 cnf(d13, plain, aDivisorOf0(xq,sz00), inference(resolution, [status(thm)], [c0,d12])). % 16.05/2.45 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d5])). % 16.05/2.45 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------