%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM429+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 : n006.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 36.22s 5.71s % Output : CNFRefutation 36.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM429+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 % 0.09/0.38 % Computer : n006.cluster.edu % 0.09/0.38 % Model : x86_64 x86_64 % 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.38 % Memory : 8046.5625MB % 0.09/0.38 % OS : Linux 6.8.0-71-generic % 0.09/0.38 % CPULimit : 300 % 0.09/0.38 % WCLimit : 300 % 0.09/0.38 % DateTime : Sat Sep 26 02:41:12 UTC 2026 % 0.09/0.38 % CPUTime : % 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 36.22/5.71 % SZS status Theorem for theBenchmark.p % 36.22/5.71 % SZS output start CNFRefutation for theBenchmark.p % 36.22/5.71 fof(mIntNeg, axiom, ! [X0] : ((aInteger0(X0) => aInteger0(smndt0(X0))))). % 36.22/5.71 fof(mIntPlus, axiom, ! [X0] : ! [X1] : (((aInteger0(X0) & aInteger0(X1)) => aInteger0(sdtpldt0(X0,X1))))). % 36.22/5.71 fof(mDivisor, definition, ! [X0] : ((aInteger0(X0) => ! [X1] : ((aDivisorOf0(X1,X0) <=> (aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0))))))))). % 36.22/5.71 fof(mEquMod, definition, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))))). % 36.22/5.71 fof(m__818, hypothesis, (aInteger0(xa) & (aInteger0(xb) & (aInteger0(xq) & (xq != sz00 & aInteger0(xc)))))). % 36.22/5.71 fof(m__853, hypothesis, (sdteqdtlpzmzozddtrp0(xa,xb,xq) & sdteqdtlpzmzozddtrp0(xb,xc,xq))). % 36.22/5.71 fof(m__, conjecture, ? [X0] : ((aInteger0(X0) & sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))))). % 36.22/5.71 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aInteger0(X0) & sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)))), inference(negate_conjecture, [status(cth)], [m__])). % 36.22/5.71 cnf(c2, plain, ~aInteger0(X0) | aInteger0(smndt0(X0)), inference(clausification, [status(esa)], [mIntNeg])). % 36.22/5.71 cnf(c3, plain, ~aInteger0(X0) | ~aInteger0(X1) | aInteger0(sdtpldt0(X0,X1)), inference(clausification, [status(esa)], [mIntPlus])). % 36.22/5.71 cnf(c22, plain, ~aInteger0(X0) | ~aDivisorOf0(X1,X0) | X2(X0,X1), inference(clausification, [status(esa)], [mDivisor])). % 36.22/5.71 cnf(c26, plain, ~X0(X1,X2) | aInteger0(sK29(X1,X2)), inference(clausification, [status(esa)], [mDivisor])). % 36.22/5.71 cnf(c27, plain, ~X0(X1,X2) | sdtasdt0(X2,sK29(X1,X2)) = X1, inference(clausification, [status(esa)], [mDivisor])). % 36.22/5.71 cnf(c29, plain, aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) | ~aInteger0(X0) | ~sdteqdtlpzmzozddtrp0(X1,X2,X0) | ~aInteger0(X1) | ~aInteger0(X2) | X0 = sz00, inference(clausification, [status(esa)], [mEquMod])). % 36.22/5.71 cnf(c33, plain, aInteger0(xa), inference(clausification, [status(esa)], [m__818])). % 36.22/5.71 cnf(c34, plain, aInteger0(xb), inference(clausification, [status(esa)], [m__818])). % 36.22/5.71 cnf(c35, plain, aInteger0(xq), inference(clausification, [status(esa)], [m__818])). % 36.22/5.71 cnf(c36, plain, xq != sz00, inference(clausification, [status(esa)], [m__818])). % 36.22/5.71 cnf(c38, plain, sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(clausification, [status(esa)], [m__853])). % 36.22/5.71 cnf(c40, plain, ~aInteger0(X0) | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.22/5.71 cnf(d0, plain, X0 != sdtpldt0(xa,smndt0(xb)) | ~aInteger0(sK29(X0,xq)) | ~'Ts26'(X0,xq), inference(superposition, [status(thm)], [c27,c40])). % 36.22/5.71 cnf(d1, plain, ~aInteger0(sK29(sdtpldt0(xa,smndt0(xb)),xq)) | ~'Ts26'(sdtpldt0(xa,smndt0(xb)),xq), inference(equality_resolution, [status(thm)], [d0])). % 36.22/5.71 cnf(d2, plain, ~'Ts26'(sdtpldt0(xa,smndt0(xb)),xq) | ~'Ts26'(sdtpldt0(xa,smndt0(xb)),xq), inference(resolution, [status(thm)], [d1,c26])). % 36.22/5.71 cnf(d3, plain, X0 = sz00 | ~aInteger0(X0) | ~aInteger0(X1) | ~aInteger0(X2) | ~sdteqdtlpzmzozddtrp0(X1,X2,X0) | ~aInteger0(sdtpldt0(X1,smndt0(X2))) | 'Ts26'(sdtpldt0(X1,smndt0(X2)),X0), inference(resolution, [status(thm)], [c29,c22])). % 36.22/5.71 cnf(d4, plain, xq = sz00 | ~aInteger0(xb) | ~aInteger0(xa) | ~aInteger0(xq) | ~aInteger0(sdtpldt0(xa,smndt0(xb))) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [d3,d2])). % 36.22/5.71 cnf(d5, plain, xq = sz00 | ~aInteger0(sdtpldt0(xa,smndt0(xb))) | ~aInteger0(xb) | ~aInteger0(xq) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c33,d4])). % 36.22/5.71 cnf(d6, plain, xq = sz00 | ~aInteger0(sdtpldt0(xa,smndt0(xb))) | ~aInteger0(xq) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c34,d5])). % 36.22/5.71 cnf(d7, plain, xq = sz00 | ~aInteger0(sdtpldt0(xa,smndt0(xb))) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c35,d6])). % 36.22/5.71 cnf(d8, plain, ~aInteger0(sdtpldt0(xa,smndt0(xb))) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c36,d7])). % 36.22/5.71 cnf(d9, plain, ~aInteger0(sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c38,d8])). % 36.22/5.71 cnf(d10, plain, ~aInteger0(xa) | ~aInteger0(smndt0(xb)), inference(resolution, [status(thm)], [d9,c3])). % 36.22/5.71 cnf(d11, plain, ~aInteger0(smndt0(xb)), inference(resolution, [status(thm)], [c33,d10])). % 36.22/5.71 cnf(d12, plain, ~aInteger0(xb), inference(resolution, [status(thm)], [d11,c2])). % 36.22/5.71 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c34,d12])). % 36.22/5.71 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------