%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM436+1 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n001.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 08:12:44 AM UTC 2026 % Result : Theorem 12.23s 44.03s % Output : CNFRefutation 12.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM436+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.43 % Computer : n001.cluster.edu % 0.17/0.43 % Model : x86_64 x86_64 % 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.43 % Memory : 8046.5625MB % 0.17/0.43 % OS : Linux 6.8.0-71-generic % 0.17/0.43 % CPULimit : 300 % 0.17/0.43 % WCLimit : 300 % 0.17/0.43 % DateTime : Sat Sep 26 02:49:27 UTC 2026 % 0.17/0.43 % CPUTime : % 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.23/44.03 % SZS status Theorem for theBenchmark.p % 12.23/44.03 % SZS output start CNFRefutation for theBenchmark.p % 12.23/44.03 fof(mIntMult, axiom, ! [X0] : ! [X1] : (((aInteger0(X0) & aInteger0(X1)) => aInteger0(sdtasdt0(X0,X1))))). % 12.23/44.03 fof(mDivisor, definition, ! [X0] : ((aInteger0(X0) => ! [X1] : ((aDivisorOf0(X1,X0) <=> (aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0))))))))). % 12.23/44.03 fof(mEquMod, definition, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))))). % 12.23/44.03 fof(m__979, hypothesis, (aInteger0(xa) & (aInteger0(xb) & (aInteger0(xp) & (xp != sz00 & (aInteger0(xq) & xq != sz00)))))). % 12.23/44.03 fof(m__1032, hypothesis, (aInteger0(xm) & sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)))). % 12.23/44.03 fof(m__1071, hypothesis, (sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)) & sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)))). % 12.23/44.03 fof(m__, conjecture, (sdteqdtlpzmzozddtrp0(xa,xb,xp) & sdteqdtlpzmzozddtrp0(xa,xb,xq))). % 12.23/44.03 fof(negated_conjecture, negated_conjecture, ~((sdteqdtlpzmzozddtrp0(xa,xb,xp) & sdteqdtlpzmzozddtrp0(xa,xb,xq))), inference(negate_conjecture, [status(cth)], [m__])). % 12.23/44.03 cnf(c4, plain, ~aInteger0(X0) | ~aInteger0(X1) | aInteger0(sdtasdt0(X1,X0)), inference(clausification, [status(esa)], [mIntMult])). % 12.23/44.03 cnf(c22, plain, ~aInteger0(X0) | X1(X0), inference(clausification, [status(esa)], [mDivisor])). % 12.23/44.03 cnf(c27, plain, ~aInteger0(X0) | sdtasdt0(X1,X0) != X2 | aDivisorOf0(X1,X2) | ~X3(X2) | X1 = sz00 | ~aInteger0(X1), inference(clausification, [status(esa)], [mDivisor])). % 12.23/44.03 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])). % 12.23/44.03 cnf(c33, plain, aInteger0(xa), inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c34, plain, aInteger0(xp), inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c35, plain, aInteger0(xq), inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c36, plain, xq != sz00, inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c37, plain, xp != sz00, inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c38, plain, aInteger0(xb), inference(clausification, [status(esa)], [m__979])). % 12.23/44.03 cnf(c40, plain, aInteger0(xm), inference(clausification, [status(esa)], [m__1032])). % 12.23/44.03 cnf(c42, plain, sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)), inference(clausification, [status(esa)], [m__1071])). % 12.23/44.03 cnf(c43, plain, sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtpldt0(xa,smndt0(xb)), inference(clausification, [status(esa)], [m__1071])). % 12.23/44.03 cnf(c44, plain, ~sdteqdtlpzmzozddtrp0(xa,xb,xp) | ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(clausification, [status(esa)], [negated_conjecture])). % 12.23/44.03 cnf(d0, plain, 'Ts25'(sdtasdt0(X0,X1)) | ~aInteger0(X0) | ~aInteger0(X1), inference(resolution, [status(thm)], [c22,c4])). % 12.23/44.03 cnf(d1, plain, 'Ts25'(sdtpldt0(xa,smndt0(xb))) | ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xq), inference(superposition, [status(thm)], [c43,d0])). % 12.23/44.03 cnf(d2, plain, ~aInteger0(sdtasdt0(xp,xm)) | 'Ts25'(sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c35,d1])). % 12.23/44.03 cnf(d3, plain, X0 = sz00 | ~aInteger0(X1) | ~aInteger0(X0) | ~'Ts25'(sdtasdt0(X0,X1)) | aDivisorOf0(X0,sdtasdt0(X0,X1)), inference(equality_resolution, [status(thm)], [c27])). % 12.23/44.03 cnf(d4, plain, aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) | xq = sz00 | ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xq) | ~'Ts25'(sdtasdt0(xq,sdtasdt0(xp,xm))), inference(superposition, [status(thm)], [c43,d3])). % 12.23/44.03 cnf(d5, plain, xq = sz00 | ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xq) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))), inference(demodulation, [status(thm)], [d4,c43])). % 12.23/44.03 cnf(d6, plain, xq = sz00 | ~aInteger0(sdtasdt0(xp,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c35,d5])). % 12.23/44.03 cnf(d7, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c36,d6])). % 12.23/44.03 cnf(d8, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | xq = sz00 | ~aInteger0(xa) | ~aInteger0(xb) | ~aInteger0(xq) | sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [d7,c29])). % 12.23/44.03 cnf(d9, plain, xq = sz00 | ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xq) | ~aInteger0(xb) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c33,d8])). % 12.23/44.03 cnf(d10, plain, xq = sz00 | ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xb) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c35,d9])). % 12.23/44.03 cnf(d11, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(xb) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c36,d10])). % 12.23/44.03 cnf(d12, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [c38,d11])). % 12.23/44.03 cnf(d13, plain, 'Ts25'(sdtpldt0(xa,smndt0(xb))) | ~aInteger0(sdtasdt0(xq,xm)) | ~aInteger0(xp), inference(superposition, [status(thm)], [c42,d0])). % 12.23/44.03 cnf(d14, plain, ~aInteger0(sdtasdt0(xq,xm)) | 'Ts25'(sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c34,d13])). % 12.23/44.03 cnf(d15, plain, aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) | xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~aInteger0(xp) | ~'Ts25'(sdtasdt0(xp,sdtasdt0(xq,xm))), inference(superposition, [status(thm)], [c42,d3])). % 12.23/44.03 cnf(d16, plain, xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~aInteger0(xp) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))), inference(demodulation, [status(thm)], [d15,c42])). % 12.23/44.03 cnf(d17, plain, xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c34,d16])). % 12.23/44.03 cnf(d18, plain, ~aInteger0(sdtasdt0(xq,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [c37,d17])). % 12.23/44.03 cnf(d19, plain, ~aInteger0(sdtasdt0(xq,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | xp = sz00 | ~aInteger0(xa) | ~aInteger0(xb) | ~aInteger0(xp) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [d18,c29])). % 12.23/44.03 cnf(d20, plain, xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~aInteger0(xp) | ~aInteger0(xb) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c33,d19])). % 12.23/44.03 cnf(d21, plain, xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~aInteger0(xb) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c34,d20])). % 12.23/44.03 cnf(d22, plain, xp = sz00 | ~aInteger0(sdtasdt0(xq,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c38,d21])). % 12.23/44.03 cnf(d23, plain, ~aInteger0(sdtasdt0(xq,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c37,d22])). % 12.23/44.03 cnf(d24, plain, ~aInteger0(sdtasdt0(xq,xm)) | sdteqdtlpzmzozddtrp0(xa,xb,xp) | ~aInteger0(sdtasdt0(xq,xm)), inference(resolution, [status(thm)], [d23,d14])). % 12.23/44.03 cnf(d25, plain, sdteqdtlpzmzozddtrp0(xa,xb,xp) | ~aInteger0(xq) | ~aInteger0(xm), inference(resolution, [status(thm)], [d24,c4])). % 12.23/44.03 cnf(d26, plain, ~aInteger0(xm) | sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c35,d25])). % 12.23/44.03 cnf(d27, plain, sdteqdtlpzmzozddtrp0(xa,xb,xp), inference(resolution, [status(thm)], [c40,d26])). % 12.23/44.03 cnf(d28, plain, ~sdteqdtlpzmzozddtrp0(xa,xb,xq), inference(resolution, [status(thm)], [d27,c44])). % 12.23/44.03 cnf(d29, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~'Ts25'(sdtpldt0(xa,smndt0(xb))), inference(resolution, [status(thm)], [d28,d12])). % 12.23/44.03 cnf(d30, plain, ~aInteger0(sdtasdt0(xp,xm)) | ~aInteger0(sdtasdt0(xp,xm)), inference(resolution, [status(thm)], [d29,d2])). % 12.23/44.03 cnf(d31, plain, ~aInteger0(xp) | ~aInteger0(xm), inference(resolution, [status(thm)], [d30,c4])). % 12.23/44.03 cnf(d32, plain, ~aInteger0(xm), inference(resolution, [status(thm)], [c34,d31])). % 12.23/44.03 cnf(d33, plain, $false, inference(resolution, [status(thm)], [c40,d32])). % 12.23/44.03 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------