%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM514+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 : n017.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 08:12:59 AM UTC 2026 % Result : Theorem 26.44s 4.98s % Output : CNFRefutation 26.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM514+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.45 % Computer : n017.cluster.edu % 0.19/0.45 % Model : x86_64 x86_64 % 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.45 % Memory : 8046.5625MB % 0.19/0.45 % OS : Linux 6.8.0-71-generic % 0.19/0.45 % CPULimit : 300 % 0.19/0.45 % WCLimit : 300 % 0.19/0.45 % DateTime : Sat Sep 26 02:59:05 UTC 2026 % 0.19/0.45 % CPUTime : % 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 26.44/4.98 % SZS status Theorem for theBenchmark.p % 26.44/4.98 % SZS output start CNFRefutation for theBenchmark.p % 26.44/4.98 fof(mSortsB_02, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => aNaturalNumber0(sdtasdt0(X0,X1))))). % 26.44/4.98 fof(mDefDiv, definition, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => (doDivides0(X0,X1) <=> ? [X2] : ((aNaturalNumber0(X2) & X1 = sdtasdt0(X0,X2))))))). % 26.44/4.98 fof(mDefQuot, definition, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => ((X0 != sz00 & doDivides0(X0,X1)) => ! [X2] : ((X2 = sdtsldt0(X1,X0) <=> (aNaturalNumber0(X2) & X1 = sdtasdt0(X0,X2)))))))). % 26.44/4.98 fof(mDefPrime, definition, ! [X0] : ((aNaturalNumber0(X0) => (isPrime0(X0) <=> (X0 != sz00 & (X0 != sz10 & ! [X1] : (((aNaturalNumber0(X1) & doDivides0(X1,X0)) => (X1 = sz10 | X1 = X0))))))))). % 26.44/4.98 fof(m__1837, hypothesis, (aNaturalNumber0(xn) & (aNaturalNumber0(xm) & aNaturalNumber0(xp)))). % 26.44/4.98 fof(m__1860, hypothesis, (isPrime0(xp) & doDivides0(xp,sdtasdt0(xn,xm)))). % 26.44/4.98 fof(m__2306, hypothesis, xk = sdtsldt0(sdtasdt0(xn,xm),xp)). % 26.44/4.98 fof(m__2342, hypothesis, (aNaturalNumber0(xr) & (doDivides0(xr,xk) & isPrime0(xr)))). % 26.44/4.98 fof(m__2613, hypothesis, sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm)). % 26.44/4.98 fof(m__, conjecture, doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))). % 26.44/4.98 fof(negated_conjecture, negated_conjecture, ~doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)), inference(negate_conjecture, [status(cth)], [m__])). % 26.44/4.98 cnf(c4, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | aNaturalNumber0(sdtasdt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB_02])). % 26.44/4.98 cnf(c49, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | doDivides0(X0,X1) | ~aNaturalNumber0(X2) | X1 != sdtasdt0(X0,X2), inference(clausification, [status(esa)], [mDefDiv])). % 26.44/4.98 cnf(c50, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | X2 != sdtsldt0(X1,X0) | aNaturalNumber0(X2) | ~doDivides0(X0,X1) | X0 = sz00, inference(clausification, [status(esa)], [mDefQuot])). % 26.44/4.98 cnf(c58, plain, ~aNaturalNumber0(X0) | ~isPrime0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefPrime])). % 26.44/4.98 cnf(c60, plain, ~X0(X1) | X1 != sz00, inference(clausification, [status(esa)], [mDefPrime])). % 26.44/4.98 cnf(c70, plain, aNaturalNumber0(xn), inference(clausification, [status(esa)], [m__1837])). % 26.44/4.98 cnf(c71, plain, aNaturalNumber0(xm), inference(clausification, [status(esa)], [m__1837])). % 26.44/4.98 cnf(c72, plain, aNaturalNumber0(xp), inference(clausification, [status(esa)], [m__1837])). % 26.44/4.98 cnf(c74, plain, isPrime0(xp), inference(clausification, [status(esa)], [m__1860])). % 26.44/4.98 cnf(c75, plain, doDivides0(xp,sdtasdt0(xn,xm)), inference(clausification, [status(esa)], [m__1860])). % 26.44/4.98 cnf(c82, plain, xk = sdtsldt0(sdtasdt0(xn,xm),xp), inference(clausification, [status(esa)], [m__2306])). % 26.44/4.98 cnf(c87, plain, aNaturalNumber0(xr), inference(clausification, [status(esa)], [m__2342])). % 26.44/4.98 cnf(c88, plain, doDivides0(xr,xk), inference(clausification, [status(esa)], [m__2342])). % 26.44/4.98 cnf(c89, plain, isPrime0(xr), inference(clausification, [status(esa)], [m__2342])). % 26.44/4.98 cnf(c100, plain, sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm), inference(clausification, [status(esa)], [m__2613])). % 26.44/4.98 cnf(c101, plain, ~doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)), inference(clausification, [status(esa)], [negated_conjecture])). % 26.44/4.98 cnf(d0, plain, ~aNaturalNumber0(xp) | 'Ts80'(xp), inference(resolution, [status(thm)], [c58,c74])). % 26.44/4.98 cnf(d1, plain, 'Ts80'(xp), inference(resolution, [status(thm)], [c72,d0])). % 26.44/4.98 cnf(d2, plain, ~doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))), inference(demodulation, [status(thm)], [c101,c100])). % 26.44/4.98 cnf(d3, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(X1,X0)) | ~aNaturalNumber0(X1) | doDivides0(X1,sdtasdt0(X1,X0)), inference(equality_resolution, [status(thm)], [c49])). % 26.44/4.98 cnf(d4, plain, ~aNaturalNumber0(xp) | ~aNaturalNumber0(sdtsldt0(xk,xr)) | ~aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))), inference(resolution, [status(thm)], [d3,d2])). % 26.44/4.98 cnf(d5, plain, ~aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) | ~aNaturalNumber0(sdtsldt0(xk,xr)), inference(resolution, [status(thm)], [c72,d4])). % 26.44/4.98 cnf(d6, plain, ~aNaturalNumber0(sdtsldt0(xk,xr)) | ~aNaturalNumber0(sdtsldt0(xk,xr)) | ~aNaturalNumber0(xp), inference(resolution, [status(thm)], [d5,c4])). % 26.44/4.98 cnf(d7, plain, ~aNaturalNumber0(sdtsldt0(xk,xr)), inference(resolution, [status(thm)], [c72,d6])). % 26.44/4.98 cnf(d8, plain, X0 = sz00 | ~aNaturalNumber0(X0) | aNaturalNumber0(sdtsldt0(X1,X0)) | ~aNaturalNumber0(X1) | ~doDivides0(X0,X1), inference(equality_resolution, [status(thm)], [c50])). % 26.44/4.98 cnf(d9, plain, xr = sz00 | ~aNaturalNumber0(xk) | ~aNaturalNumber0(xr) | ~doDivides0(xr,xk), inference(resolution, [status(thm)], [d8,d7])). % 26.44/4.98 cnf(d10, plain, xr = sz00 | ~aNaturalNumber0(xk) | ~doDivides0(xr,xk), inference(resolution, [status(thm)], [c87,d9])). % 26.44/4.98 cnf(d11, plain, xr = sz00 | ~aNaturalNumber0(xk), inference(resolution, [status(thm)], [c88,d10])). % 26.44/4.98 cnf(d12, plain, X0 != xk | xp = sz00 | ~aNaturalNumber0(xp) | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)) | ~doDivides0(xp,sdtasdt0(xn,xm)), inference(superposition, [status(thm)], [c82,c50])). % 26.44/4.98 cnf(d13, plain, X0 != xk | xp = sz00 | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)) | ~doDivides0(xp,sdtasdt0(xn,xm)), inference(resolution, [status(thm)], [c72,d12])). % 26.44/4.98 cnf(d14, plain, X0 != xk | xp = sz00 | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)), inference(resolution, [status(thm)], [c75,d13])). % 26.44/4.98 cnf(d15, plain, xp = sz00 | aNaturalNumber0(xk) | ~aNaturalNumber0(sdtasdt0(xn,xm)), inference(equality_resolution, [status(thm)], [d14])). % 26.44/4.98 cnf(d16, plain, xp = sz00 | aNaturalNumber0(xk) | ~aNaturalNumber0(xm) | ~aNaturalNumber0(xn), inference(resolution, [status(thm)], [d15,c4])). % 26.44/4.98 cnf(d17, plain, xp = sz00 | ~aNaturalNumber0(xm) | aNaturalNumber0(xk), inference(resolution, [status(thm)], [c70,d16])). % 26.44/4.98 cnf(d18, plain, xp = sz00 | aNaturalNumber0(xk), inference(resolution, [status(thm)], [c71,d17])). % 26.44/4.98 cnf(d19, plain, xp = sz00 | xr = sz00, inference(resolution, [status(thm)], [d18,d11])). % 26.44/4.98 cnf(d20, plain, 'Ts80'(sz00) | xr = sz00, inference(superposition, [status(thm)], [d19,d1])). % 26.44/4.98 cnf(d21, plain, ~'Ts80'(sz00), inference(equality_resolution, [status(thm)], [c60])). % 26.44/4.98 cnf(d22, plain, xr = sz00, inference(resolution, [status(thm)], [d21,d20])). % 26.44/4.98 cnf(d23, plain, ~aNaturalNumber0(xr) | 'Ts80'(xr), inference(resolution, [status(thm)], [c58,c89])). % 26.44/4.98 cnf(d24, plain, 'Ts80'(xr), inference(resolution, [status(thm)], [c87,d23])). % 26.44/4.98 cnf(d25, plain, 'Ts80'(sz00), inference(demodulation, [status(thm)], [d24,d22])). % 26.44/4.98 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d21,d25])). % 26.44/4.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------