%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM496+3 : 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 : n008.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 08:12:56 AM UTC 2026 % Result : Theorem 83.40s 19.18s % Output : CNFRefutation 83.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM496+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.37 % Computer : n008.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 03:00:09 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 83.40/19.18 % SZS status Theorem for theBenchmark.p % 83.40/19.18 % SZS output start CNFRefutation for theBenchmark.p % 83.40/19.18 fof(mSortsC_01, axiom, (aNaturalNumber0(sz10) & sz10 != sz00)). % 83.40/19.18 fof(m_MulUnit, axiom, ! [X0] : ((aNaturalNumber0(X0) => (sdtasdt0(X0,sz10) = X0 & X0 = sdtasdt0(sz10,X0))))). % 83.40/19.18 fof(mDefDiv, definition, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => (doDivides0(X0,X1) <=> ? [X2] : ((aNaturalNumber0(X2) & X1 = sdtasdt0(X0,X2))))))). % 83.40/19.18 fof(mDivSum, axiom, ! [X0] : ! [X1] : ! [X2] : (((aNaturalNumber0(X0) & (aNaturalNumber0(X1) & aNaturalNumber0(X2))) => ((doDivides0(X0,X1) & doDivides0(X0,X2)) => doDivides0(X0,sdtpldt0(X1,X2)))))). % 83.40/19.18 fof(m__1837, hypothesis, (aNaturalNumber0(xn) & (aNaturalNumber0(xm) & aNaturalNumber0(xp)))). % 83.40/19.18 fof(m__1883, hypothesis, (aNaturalNumber0(xr) & (sdtpldt0(xp,xr) = xn & xr = sdtmndt0(xn,xp)))). % 83.40/19.18 fof(m__2027, hypothesis, ((? [X0] : ((aNaturalNumber0(X0) & xr = sdtasdt0(xp,X0))) & doDivides0(xp,xr)) | (? [X0] : ((aNaturalNumber0(X0) & xm = sdtasdt0(xp,X0))) & doDivides0(xp,xm)))). % 83.40/19.18 fof(m__, conjecture, (? [X0] : ((aNaturalNumber0(X0) & xn = sdtasdt0(xp,X0))) | (doDivides0(xp,xn) | (? [X0] : ((aNaturalNumber0(X0) & xm = sdtasdt0(xp,X0))) | doDivides0(xp,xm))))). % 83.40/19.18 fof(negated_conjecture, negated_conjecture, ~((? [X0] : ((aNaturalNumber0(X0) & xn = sdtasdt0(xp,X0))) | (doDivides0(xp,xn) | (? [X0] : ((aNaturalNumber0(X0) & xm = sdtasdt0(xp,X0))) | doDivides0(xp,xm))))), inference(negate_conjecture, [status(cth)], [m__])). % 83.40/19.18 cnf(c1, plain, aNaturalNumber0(sz10), inference(clausification, [status(esa)], [mSortsC_01])). % 83.40/19.18 cnf(c11, plain, ~aNaturalNumber0(X0) | sdtasdt0(X0,sz10) = X0, inference(clausification, [status(esa)], [m_MulUnit])). % 83.40/19.18 cnf(c49, plain, sdtasdt0(X0,X1) != X2 | ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | ~aNaturalNumber0(X2) | doDivides0(X0,X2), inference(clausification, [status(esa)], [mDefDiv])). % 83.40/19.18 cnf(c54, plain, ~doDivides0(X0,X1) | ~doDivides0(X0,X2) | ~aNaturalNumber0(X0) | doDivides0(X0,sdtpldt0(X1,X2)) | ~aNaturalNumber0(X1) | ~aNaturalNumber0(X2), inference(clausification, [status(esa)], [mDivSum])). % 83.40/19.18 cnf(c70, plain, aNaturalNumber0(xp), inference(clausification, [status(esa)], [m__1837])). % 83.40/19.18 cnf(c99, plain, aNaturalNumber0(xr), inference(clausification, [status(esa)], [m__1883])). % 83.40/19.18 cnf(c101, plain, sdtpldt0(xp,xr) = xn, inference(clausification, [status(esa)], [m__1883])). % 83.40/19.18 cnf(c111, plain, X0 | doDivides0(xp,xm), inference(clausification, [status(esa)], [m__2027])). % 83.40/19.18 cnf(c114, plain, ~X0 | doDivides0(xp,xr), inference(clausification, [status(esa)], [m__2027])). % 83.40/19.18 cnf(c117, plain, ~doDivides0(xp,xm), inference(clausification, [status(esa)], [negated_conjecture])). % 83.40/19.18 cnf(c118, plain, ~doDivides0(xp,xn), inference(clausification, [status(esa)], [negated_conjecture])). % 83.40/19.18 cnf(d0, plain, 'Ts100', inference(resolution, [status(thm)], [c117,c111])). % 83.40/19.18 cnf(d1, plain, doDivides0(xp,xr), inference(resolution, [status(thm)], [d0,c114])). % 83.40/19.18 cnf(d2, plain, doDivides0(X0,xn) | ~aNaturalNumber0(xp) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(xr) | ~doDivides0(X0,xp) | ~doDivides0(X0,xr), inference(superposition, [status(thm)], [c101,c54])). % 83.40/19.18 cnf(d3, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(xr) | doDivides0(X0,xn) | ~doDivides0(X0,xp) | ~doDivides0(X0,xr), inference(resolution, [status(thm)], [c70,d2])). % 83.40/19.18 cnf(d4, plain, ~aNaturalNumber0(X0) | doDivides0(X0,xn) | ~doDivides0(X0,xp) | ~doDivides0(X0,xr), inference(resolution, [status(thm)], [c99,d3])). % 83.40/19.18 cnf(d5, plain, ~aNaturalNumber0(xp) | doDivides0(xp,xn) | ~doDivides0(xp,xp), inference(resolution, [status(thm)], [d4,d1])). % 83.40/19.18 cnf(d6, plain, doDivides0(xp,xn) | ~doDivides0(xp,xp), inference(resolution, [status(thm)], [c70,d5])). % 83.40/19.18 cnf(d7, plain, ~doDivides0(xp,xp), inference(resolution, [status(thm)], [c118,d6])). % 83.40/19.18 cnf(d8, plain, sdtasdt0(xp,sz10) = xp, inference(resolution, [status(thm)], [c70,c11])). % 83.40/19.18 cnf(d9, plain, xp != X0 | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sz10) | ~aNaturalNumber0(xp) | doDivides0(xp,X0), inference(superposition, [status(thm)], [d8,c49])). % 83.40/19.18 cnf(d10, plain, xp != X0 | ~aNaturalNumber0(X0) | ~aNaturalNumber0(xp) | doDivides0(xp,X0), inference(resolution, [status(thm)], [c1,d9])). % 83.40/19.18 cnf(d11, plain, xp != X0 | ~aNaturalNumber0(X0) | doDivides0(xp,X0), inference(resolution, [status(thm)], [c70,d10])). % 83.40/19.18 cnf(d12, plain, ~aNaturalNumber0(xp) | doDivides0(xp,xp), inference(equality_resolution, [status(thm)], [d11])). % 83.40/19.18 cnf(d13, plain, doDivides0(xp,xp), inference(resolution, [status(thm)], [c70,d12])). % 83.40/19.18 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d7])). % 83.40/19.18 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------