%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM505+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 08:12:57 AM UTC 2026 % Result : Theorem 30.27s 10.77s % Output : CNFRefutation 30.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM505+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.46 % Computer : n018.cluster.edu % 0.10/0.46 % Model : x86_64 x86_64 % 0.10/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.46 % Memory : 8046.5625MB % 0.10/0.46 % OS : Linux 6.8.0-71-generic % 0.10/0.46 % CPULimit : 300 % 0.10/0.46 % WCLimit : 300 % 0.10/0.46 % DateTime : Sat Sep 26 03:03:20 UTC 2026 % 0.10/0.46 % CPUTime : % 0.10/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 30.27/10.77 % SZS status Theorem for theBenchmark.p % 30.27/10.77 % SZS output start CNFRefutation for theBenchmark.p % 30.27/10.77 fof(mSortsB_02, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => aNaturalNumber0(sdtasdt0(X0,X1))))). % 30.27/10.77 fof(mLETotal, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => (sdtlseqdt0(X0,X1) | (X1 != X0 & sdtlseqdt0(X1,X0)))))). % 30.27/10.77 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)))))))). % 30.27/10.77 fof(mDefPrime, definition, ! [X0] : ((aNaturalNumber0(X0) => (isPrime0(X0) <=> (X0 != sz00 & (X0 != sz10 & ! [X1] : (((aNaturalNumber0(X1) & doDivides0(X1,X0)) => (X1 = sz10 | X1 = X0))))))))). % 30.27/10.77 fof(m__1837, hypothesis, (aNaturalNumber0(xn) & (aNaturalNumber0(xm) & aNaturalNumber0(xp)))). % 30.27/10.77 fof(m__1860, hypothesis, (isPrime0(xp) & doDivides0(xp,sdtasdt0(xn,xm)))). % 30.27/10.77 fof(m__2306, hypothesis, xk = sdtsldt0(sdtasdt0(xn,xm),xp)). % 30.27/10.77 fof(m__, conjecture, (~sdtlseqdt0(xp,xk) => (xk != xp & sdtlseqdt0(xk,xp)))). % 30.27/10.77 fof(negated_conjecture, negated_conjecture, ~((~sdtlseqdt0(xp,xk) => (xk != xp & sdtlseqdt0(xk,xp)))), inference(negate_conjecture, [status(cth)], [m__])). % 30.27/10.77 cnf(c4, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | aNaturalNumber0(sdtasdt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB_02])). % 30.27/10.77 cnf(c34, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | sdtlseqdt0(X0,X1) | sdtlseqdt0(X1,X0), inference(clausification, [status(esa)], [mLETotal])). % 30.27/10.77 cnf(c50, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | X2 != sdtsldt0(X1,X0) | aNaturalNumber0(X2) | ~doDivides0(X0,X1) | X0 = sz00, inference(clausification, [status(esa)], [mDefQuot])). % 30.27/10.77 cnf(c58, plain, ~aNaturalNumber0(X0) | ~isPrime0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefPrime])). % 30.27/10.77 cnf(c60, plain, ~X0(X1) | X1 != sz00, inference(clausification, [status(esa)], [mDefPrime])). % 30.27/10.77 cnf(c70, plain, aNaturalNumber0(xn), inference(clausification, [status(esa)], [m__1837])). % 30.27/10.77 cnf(c71, plain, aNaturalNumber0(xm), inference(clausification, [status(esa)], [m__1837])). % 30.27/10.77 cnf(c72, plain, aNaturalNumber0(xp), inference(clausification, [status(esa)], [m__1837])). % 30.27/10.77 cnf(c74, plain, isPrime0(xp), inference(clausification, [status(esa)], [m__1860])). % 30.27/10.77 cnf(c75, plain, doDivides0(xp,sdtasdt0(xn,xm)), inference(clausification, [status(esa)], [m__1860])). % 30.27/10.77 cnf(c82, plain, xk = sdtsldt0(sdtasdt0(xn,xm),xp), inference(clausification, [status(esa)], [m__2306])). % 30.27/10.77 cnf(c92, plain, ~sdtlseqdt0(xp,xk), inference(clausification, [status(esa)], [negated_conjecture])). % 30.27/10.77 cnf(c93, plain, xk = xp | ~sdtlseqdt0(xk,xp), inference(clausification, [status(esa)], [negated_conjecture])). % 30.27/10.77 cnf(d0, plain, X0 != xk | xp = sz00 | ~aNaturalNumber0(xp) | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)) | ~doDivides0(xp,sdtasdt0(xn,xm)), inference(superposition, [status(thm)], [c82,c50])). % 30.27/10.77 cnf(d1, plain, X0 != xk | xp = sz00 | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)) | ~doDivides0(xp,sdtasdt0(xn,xm)), inference(resolution, [status(thm)], [c72,d0])). % 30.27/10.77 cnf(d2, plain, X0 != xk | xp = sz00 | aNaturalNumber0(X0) | ~aNaturalNumber0(sdtasdt0(xn,xm)), inference(resolution, [status(thm)], [c75,d1])). % 30.27/10.77 cnf(d3, plain, xp = sz00 | aNaturalNumber0(xk) | ~aNaturalNumber0(sdtasdt0(xn,xm)), inference(equality_resolution, [status(thm)], [d2])). % 30.27/10.77 cnf(d4, plain, ~aNaturalNumber0(xk) | ~aNaturalNumber0(xp) | sdtlseqdt0(xk,xp), inference(resolution, [status(thm)], [c34,c92])). % 30.27/10.77 cnf(d5, plain, ~aNaturalNumber0(xk) | sdtlseqdt0(xk,xp), inference(resolution, [status(thm)], [c72,d4])). % 30.27/10.77 cnf(d6, plain, ~aNaturalNumber0(xk) | xk = xp, inference(resolution, [status(thm)], [d5,c93])). % 30.27/10.77 cnf(d7, plain, sdtlseqdt0(xp,xp) | ~aNaturalNumber0(xk) | ~aNaturalNumber0(xk), inference(superposition, [status(thm)], [d6,d5])). % 30.27/10.77 cnf(d8, plain, ~sdtlseqdt0(xp,xp) | ~aNaturalNumber0(xk), inference(superposition, [status(thm)], [d6,c92])). % 30.27/10.77 cnf(d9, plain, ~aNaturalNumber0(xk) | ~aNaturalNumber0(xk), inference(resolution, [status(thm)], [d8,d7])). % 30.27/10.77 cnf(d10, plain, xp = sz00 | ~aNaturalNumber0(sdtasdt0(xn,xm)), inference(resolution, [status(thm)], [d9,d3])). % 30.27/10.77 cnf(d11, plain, xp = sz00 | ~aNaturalNumber0(xm) | ~aNaturalNumber0(xn), inference(resolution, [status(thm)], [d10,c4])). % 30.27/10.77 cnf(d12, plain, xp = sz00 | ~aNaturalNumber0(xm), inference(resolution, [status(thm)], [c70,d11])). % 30.27/10.77 cnf(d13, plain, xp = sz00, inference(resolution, [status(thm)], [c71,d12])). % 30.27/10.77 cnf(d14, plain, ~aNaturalNumber0(xp) | 'Ts80'(xp), inference(resolution, [status(thm)], [c58,c74])). % 30.27/10.77 cnf(d15, plain, 'Ts80'(xp), inference(resolution, [status(thm)], [c72,d14])). % 30.27/10.77 cnf(d16, plain, 'Ts80'(sz00), inference(demodulation, [status(thm)], [d15,d13])). % 30.27/10.77 cnf(d17, plain, ~'Ts80'(sz00), inference(equality_resolution, [status(thm)], [c60])). % 30.27/10.77 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d17,d16])). % 30.27/10.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------