%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM516+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 : 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 92.60s 15.44s % Output : CNFRefutation 92.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM516+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n017.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 26 02:59:50 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 92.60/15.44 % SZS status Theorem for theBenchmark.p % 92.60/15.44 % SZS output start CNFRefutation for theBenchmark.p % 92.60/15.44 fof(mSortsB, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => aNaturalNumber0(sdtpldt0(X0,X1))))). % 92.60/15.44 fof(mAddAsso, axiom, ! [X0] : ! [X1] : ! [X2] : (((aNaturalNumber0(X0) & (aNaturalNumber0(X1) & aNaturalNumber0(X2))) => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))))). % 92.60/15.44 fof(mAddCanc, axiom, ! [X0] : ! [X1] : ! [X2] : (((aNaturalNumber0(X0) & (aNaturalNumber0(X1) & aNaturalNumber0(X2))) => ((sdtpldt0(X0,X1) = sdtpldt0(X0,X2) | sdtpldt0(X1,X0) = sdtpldt0(X2,X0)) => X1 = X2)))). % 92.60/15.44 fof(mMonAdd, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => ((X0 != X1 & sdtlseqdt0(X0,X1)) => ! [X2] : ((aNaturalNumber0(X2) => (sdtpldt0(X2,X0) != sdtpldt0(X2,X1) & (sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) & (sdtpldt0(X0,X2) != sdtpldt0(X1,X2) & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))))))))))). % 92.60/15.44 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)))))))). % 92.60/15.44 fof(mDefPrime, definition, ! [X0] : ((aNaturalNumber0(X0) => (isPrime0(X0) <=> (X0 != sz00 & (X0 != sz10 & ! [X1] : (((aNaturalNumber0(X1) & doDivides0(X1,X0)) => (X1 = sz10 | X1 = X0))))))))). % 92.60/15.44 fof(m__1837, hypothesis, (aNaturalNumber0(xn) & (aNaturalNumber0(xm) & aNaturalNumber0(xp)))). % 92.60/15.44 fof(m__2342, hypothesis, (aNaturalNumber0(xr) & (doDivides0(xr,xk) & isPrime0(xr)))). % 92.60/15.44 fof(m__2487, hypothesis, doDivides0(xr,xn)). % 92.60/15.44 fof(m__2504, hypothesis, (sdtsldt0(xn,xr) != xn & sdtlseqdt0(sdtsldt0(xn,xr),xn))). % 92.60/15.44 fof(m__, conjecture, (sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)))). % 92.60/15.44 fof(negated_conjecture, negated_conjecture, ~((sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)))), inference(negate_conjecture, [status(cth)], [m__])). % 92.60/15.44 cnf(c3, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | aNaturalNumber0(sdtpldt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB])). % 92.60/15.44 cnf(c6, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | ~aNaturalNumber0(X2) | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)), inference(clausification, [status(esa)], [mAddAsso])). % 92.60/15.44 cnf(c18, plain, sdtpldt0(X0,X1) != sdtpldt0(X2,X1) | ~aNaturalNumber0(X2) | X0 = X2 | ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1), inference(clausification, [status(esa)], [mAddCanc])). % 92.60/15.44 cnf(c38, plain, ~sdtlseqdt0(X0,X1) | ~aNaturalNumber0(X2) | ~aNaturalNumber0(X1) | sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) | X0 = X1 | ~aNaturalNumber0(X0), inference(clausification, [status(esa)], [mMonAdd])). % 92.60/15.44 cnf(c50, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | X2 != sdtsldt0(X1,X0) | aNaturalNumber0(X2) | ~doDivides0(X0,X1) | X0 = sz00, inference(clausification, [status(esa)], [mDefQuot])). % 92.60/15.44 cnf(c58, plain, ~aNaturalNumber0(X0) | ~isPrime0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefPrime])). % 92.60/15.44 cnf(c60, plain, ~X0(X1) | X1 != sz00, inference(clausification, [status(esa)], [mDefPrime])). % 92.60/15.44 cnf(c70, plain, aNaturalNumber0(xn), inference(clausification, [status(esa)], [m__1837])). % 92.60/15.44 cnf(c71, plain, aNaturalNumber0(xm), inference(clausification, [status(esa)], [m__1837])). % 92.60/15.44 cnf(c72, plain, aNaturalNumber0(xp), inference(clausification, [status(esa)], [m__1837])). % 92.60/15.44 cnf(c87, plain, aNaturalNumber0(xr), inference(clausification, [status(esa)], [m__2342])). % 92.60/15.44 cnf(c89, plain, isPrime0(xr), inference(clausification, [status(esa)], [m__2342])). % 92.60/15.44 cnf(c95, plain, doDivides0(xr,xn), inference(clausification, [status(esa)], [m__2487])). % 92.60/15.44 cnf(c96, plain, sdtsldt0(xn,xr) != xn, inference(clausification, [status(esa)], [m__2504])). % 92.60/15.44 cnf(c97, plain, sdtlseqdt0(sdtsldt0(xn,xr),xn), inference(clausification, [status(esa)], [m__2504])). % 92.60/15.44 cnf(c99, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)), inference(clausification, [status(esa)], [negated_conjecture])). % 92.60/15.44 cnf(d0, plain, ~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp))) | sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(xp) | ~aNaturalNumber0(xn) | ~aNaturalNumber0(xm), inference(superposition, [status(thm)], [c6,c99])). % 92.60/15.44 cnf(d1, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(xm) | ~aNaturalNumber0(xp) | ~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp))), inference(resolution, [status(thm)], [c70,d0])). % 92.60/15.44 cnf(d2, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(xp) | ~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp))), inference(resolution, [status(thm)], [c71,d1])). % 92.60/15.44 cnf(d3, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp))), inference(resolution, [status(thm)], [c72,d2])). % 92.60/15.44 cnf(d4, plain, ~sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))) | sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(xp) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xm), inference(superposition, [status(thm)], [c6,d3])). % 92.60/15.44 cnf(d5, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xp) | ~sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))), inference(resolution, [status(thm)], [c71,d4])). % 92.60/15.44 cnf(d6, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))), inference(resolution, [status(thm)], [c72,d5])). % 92.60/15.44 cnf(d7, plain, sdtsldt0(xn,xr) = xn | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xn) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~sdtlseqdt0(sdtsldt0(xn,xr),xn) | sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(resolution, [status(thm)], [c38,d6])). % 92.60/15.44 cnf(d8, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | sdtsldt0(xn,xr) = xn | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~sdtlseqdt0(sdtsldt0(xn,xr),xn), inference(resolution, [status(thm)], [c70,d7])). % 92.60/15.44 cnf(d9, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~sdtlseqdt0(sdtsldt0(xn,xr),xn), inference(resolution, [status(thm)], [c96,d8])). % 92.60/15.44 cnf(d10, plain, sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(resolution, [status(thm)], [c97,d9])). % 92.60/15.44 cnf(d11, plain, sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)) | ~aNaturalNumber0(xp) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xm) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(superposition, [status(thm)], [d10,c6])). % 92.60/15.44 cnf(d12, plain, sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xp), inference(resolution, [status(thm)], [c71,d11])). % 92.60/15.44 cnf(d13, plain, sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(resolution, [status(thm)], [c72,d12])). % 92.60/15.44 cnf(d14, plain, sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(sdtpldt0(xn,xm),xp) | X0 = sdtsldt0(xn,xr) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(superposition, [status(thm)], [d13,c18])). % 92.60/15.44 cnf(d15, plain, sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xn,sdtpldt0(xm,xp)) | X0 = sdtsldt0(xn,xr) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xp) | ~aNaturalNumber0(xn) | ~aNaturalNumber0(xm), inference(superposition, [status(thm)], [c6,d14])). % 92.60/15.44 cnf(d16, plain, X0 = sdtsldt0(xn,xr) | sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xn,sdtpldt0(xm,xp)) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xm) | ~aNaturalNumber0(xp), inference(resolution, [status(thm)], [c70,d15])). % 92.60/15.44 cnf(d17, plain, X0 = sdtsldt0(xn,xr) | sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xn,sdtpldt0(xm,xp)) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)) | ~aNaturalNumber0(xp), inference(resolution, [status(thm)], [c71,d16])). % 92.60/15.44 cnf(d18, plain, X0 = sdtsldt0(xn,xr) | sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xn,sdtpldt0(xm,xp)) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(resolution, [status(thm)], [c72,d17])). % 92.60/15.44 cnf(d19, plain, xn = sdtsldt0(xn,xr) | ~aNaturalNumber0(xn) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(equality_resolution, [status(thm)], [d18])). % 92.60/15.44 cnf(d20, plain, xn = sdtsldt0(xn,xr) | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(resolution, [status(thm)], [c70,d19])). % 92.60/15.44 cnf(d21, plain, xn != xn | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(superposition, [status(thm)], [d20,c96])). % 92.60/15.44 cnf(d22, plain, ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(sdtsldt0(xn,xr)), inference(equality_resolution, [status(thm)], [d21])). % 92.60/15.44 cnf(d23, plain, X0 = sz00 | ~aNaturalNumber0(X0) | aNaturalNumber0(sdtsldt0(X1,X0)) | ~aNaturalNumber0(X1) | ~doDivides0(X0,X1), inference(equality_resolution, [status(thm)], [c50])). % 92.60/15.44 cnf(d24, plain, xr = sz00 | ~aNaturalNumber0(xn) | ~aNaturalNumber0(xr) | ~doDivides0(xr,xn) | ~aNaturalNumber0(sdtpldt0(xm,xp)), inference(resolution, [status(thm)], [d23,d22])). % 92.60/15.44 cnf(d25, plain, xr = sz00 | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~aNaturalNumber0(xr) | ~doDivides0(xr,xn), inference(resolution, [status(thm)], [c70,d24])). % 92.60/15.44 cnf(d26, plain, xr = sz00 | ~aNaturalNumber0(sdtpldt0(xm,xp)) | ~doDivides0(xr,xn), inference(resolution, [status(thm)], [c87,d25])). % 92.60/15.44 cnf(d27, plain, xr = sz00 | ~aNaturalNumber0(sdtpldt0(xm,xp)), inference(resolution, [status(thm)], [c95,d26])). % 92.60/15.44 cnf(d28, plain, xr = sz00 | ~aNaturalNumber0(xp) | ~aNaturalNumber0(xm), inference(resolution, [status(thm)], [d27,c3])). % 92.60/15.44 cnf(d29, plain, xr = sz00 | ~aNaturalNumber0(xp), inference(resolution, [status(thm)], [c71,d28])). % 92.60/15.44 cnf(d30, plain, xr = sz00, inference(resolution, [status(thm)], [c72,d29])). % 92.60/15.44 cnf(d31, plain, ~aNaturalNumber0(xr) | 'Ts80'(xr), inference(resolution, [status(thm)], [c58,c89])). % 92.60/15.44 cnf(d32, plain, 'Ts80'(xr), inference(resolution, [status(thm)], [c87,d31])). % 92.60/15.44 cnf(d33, plain, 'Ts80'(sz00), inference(demodulation, [status(thm)], [d32,d30])). % 92.60/15.44 cnf(d34, plain, ~'Ts80'(sz00), inference(equality_resolution, [status(thm)], [c60])). % 92.60/15.44 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d34,d33])). % 92.60/15.44 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------