%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM469+2 : 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 : n014.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 08:12:50 AM UTC 2026 % Result : Theorem 23.48s 5.60s % Output : CNFRefutation 23.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM469+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n014.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 02:52:32 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.48/5.60 % SZS status Theorem for theBenchmark.p % 23.48/5.60 % SZS output start CNFRefutation for theBenchmark.p % 23.48/5.60 fof(mSortsC, axiom, aNaturalNumber0(sz00)). % 23.48/5.60 fof(mSortsB, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => aNaturalNumber0(sdtpldt0(X0,X1))))). % 23.48/5.60 fof(m_AddZero, axiom, ! [X0] : ((aNaturalNumber0(X0) => (sdtpldt0(X0,sz00) = X0 & X0 = sdtpldt0(sz00,X0))))). % 23.48/5.60 fof(mMulComm, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => sdtasdt0(X0,X1) = sdtasdt0(X1,X0)))). % 23.48/5.60 fof(m_MulZero, axiom, ! [X0] : ((aNaturalNumber0(X0) => (sdtasdt0(X0,sz00) = sz00 & sz00 = sdtasdt0(sz00,X0))))). % 23.48/5.60 fof(mDefDiv, definition, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => (doDivides0(X0,X1) <=> ? [X2] : ((aNaturalNumber0(X2) & X1 = sdtasdt0(X0,X2))))))). % 23.48/5.60 fof(m__1240, hypothesis, (aNaturalNumber0(xl) & (aNaturalNumber0(xm) & aNaturalNumber0(xn)))). % 23.48/5.60 fof(m__1240_04, hypothesis, (? [X0] : ((aNaturalNumber0(X0) & xm = sdtasdt0(xl,X0))) & (doDivides0(xl,xm) & (? [X0] : ((aNaturalNumber0(X0) & xn = sdtasdt0(xl,X0))) & doDivides0(xl,xn))))). % 23.48/5.60 fof(m__1298, hypothesis, (xl != sz00 => (aNaturalNumber0(sdtsldt0(xm,xl)) & (xm = sdtasdt0(xl,sdtsldt0(xm,xl)) & (aNaturalNumber0(sdtsldt0(xn,xl)) & (xn = sdtasdt0(xl,sdtsldt0(xn,xl)) & sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))))))). % 23.48/5.60 fof(m__, conjecture, (? [X0] : ((aNaturalNumber0(X0) & sdtpldt0(xm,xn) = sdtasdt0(xl,X0))) | doDivides0(xl,sdtpldt0(xm,xn)))). % 23.48/5.60 fof(negated_conjecture, negated_conjecture, ~((? [X0] : ((aNaturalNumber0(X0) & sdtpldt0(xm,xn) = sdtasdt0(xl,X0))) | doDivides0(xl,sdtpldt0(xm,xn)))), inference(negate_conjecture, [status(cth)], [m__])). % 23.48/5.60 cnf(c0, plain, aNaturalNumber0(sz00), inference(clausification, [status(esa)], [mSortsC])). % 23.48/5.60 cnf(c3, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | aNaturalNumber0(sdtpldt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB])). % 23.48/5.60 cnf(c7, plain, ~aNaturalNumber0(X0) | sdtpldt0(X0,sz00) = X0, inference(clausification, [status(esa)], [m_AddZero])). % 23.48/5.60 cnf(c9, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | sdtasdt0(X0,X1) = sdtasdt0(X1,X0), inference(clausification, [status(esa)], [mMulComm])). % 23.48/5.60 cnf(c13, plain, ~aNaturalNumber0(X0) | sdtasdt0(X0,sz00) = sz00, inference(clausification, [status(esa)], [m_MulZero])). % 23.48/5.60 cnf(c49, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | doDivides0(X0,X1) | ~aNaturalNumber0(X2) | X1 != sdtasdt0(X0,X2), inference(clausification, [status(esa)], [mDefDiv])). % 23.48/5.60 cnf(c54, plain, aNaturalNumber0(xl), inference(clausification, [status(esa)], [m__1240])). % 23.48/5.60 cnf(c57, plain, aNaturalNumber0(sK69), inference(clausification, [status(esa)], [m__1240_04])). % 23.48/5.60 cnf(c58, plain, xm = sdtasdt0(xl,sK69), inference(clausification, [status(esa)], [m__1240_04])). % 23.48/5.60 cnf(c60, plain, aNaturalNumber0(sK70), inference(clausification, [status(esa)], [m__1240_04])). % 23.48/5.60 cnf(c61, plain, xn = sdtasdt0(xl,sK70), inference(clausification, [status(esa)], [m__1240_04])). % 23.48/5.60 cnf(c63, plain, xl = sz00 | X0, inference(clausification, [status(esa)], [m__1298])). % 23.48/5.60 cnf(c64, plain, ~X0 | aNaturalNumber0(sdtsldt0(xm,xl)), inference(clausification, [status(esa)], [m__1298])). % 23.48/5.60 cnf(c66, plain, ~X0 | aNaturalNumber0(sdtsldt0(xn,xl)), inference(clausification, [status(esa)], [m__1298])). % 23.48/5.60 cnf(c68, plain, ~X0 | sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))), inference(clausification, [status(esa)], [m__1298])). % 23.48/5.60 cnf(c69, plain, ~aNaturalNumber0(X0) | sdtpldt0(xm,xn) != sdtasdt0(xl,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 23.48/5.60 cnf(c70, plain, ~doDivides0(xl,sdtpldt0(xm,xn)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.48/5.60 cnf(d0, plain, sdtpldt0(sz00,sz00) = sz00, inference(resolution, [status(thm)], [c7,c0])). % 23.48/5.60 cnf(d1, plain, sdtasdt0(sK70,sz00) = sz00, inference(resolution, [status(thm)], [c13,c60])). % 23.48/5.60 cnf(d2, plain, sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) | xl = sz00, inference(resolution, [status(thm)], [c68,c63])). % 23.48/5.60 cnf(d3, plain, sdtpldt0(xm,xn) != sdtpldt0(xm,xn) | ~aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) | xl = sz00, inference(superposition, [status(thm)], [d2,c69])). % 23.48/5.60 cnf(d4, plain, xl = sz00 | ~aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))), inference(equality_resolution, [status(thm)], [d3])). % 23.48/5.60 cnf(d5, plain, xl = sz00 | ~aNaturalNumber0(sdtsldt0(xn,xl)) | ~aNaturalNumber0(sdtsldt0(xm,xl)), inference(resolution, [status(thm)], [d4,c3])). % 23.48/5.60 cnf(d6, plain, xl = sz00 | ~aNaturalNumber0(sdtsldt0(xm,xl)) | ~'Ts71', inference(resolution, [status(thm)], [d5,c66])). % 23.48/5.60 cnf(d7, plain, xl = sz00 | ~'Ts71' | ~'Ts71', inference(resolution, [status(thm)], [d6,c64])). % 23.48/5.60 cnf(d8, plain, xl = sz00 | xl = sz00, inference(resolution, [status(thm)], [d7,c63])). % 23.48/5.60 cnf(d9, plain, sdtasdt0(X0,xl) = sdtasdt0(xl,X0) | ~aNaturalNumber0(X0), inference(resolution, [status(thm)], [c9,c54])). % 23.48/5.60 cnf(d10, plain, sdtasdt0(sK70,xl) = sdtasdt0(xl,sK70), inference(resolution, [status(thm)], [d9,c60])). % 23.48/5.60 cnf(d11, plain, sdtasdt0(sK70,xl) = xn, inference(demodulation, [status(thm)], [d10,c61])). % 23.48/5.60 cnf(d12, plain, sdtasdt0(sK70,sz00) = xn, inference(demodulation, [status(thm)], [d11,d8])). % 23.48/5.60 cnf(d13, plain, sz00 = xn, inference(demodulation, [status(thm)], [d12,d1])). % 23.48/5.60 cnf(d14, plain, sdtasdt0(sK69,sz00) = sz00, inference(resolution, [status(thm)], [c13,c57])). % 23.48/5.60 cnf(d15, plain, sdtasdt0(X0,sK69) = sdtasdt0(sK69,X0) | ~aNaturalNumber0(X0), inference(resolution, [status(thm)], [c9,c57])). % 23.48/5.60 cnf(d16, plain, sdtasdt0(xl,sK69) = sdtasdt0(sK69,xl), inference(resolution, [status(thm)], [d15,c54])). % 23.48/5.60 cnf(d17, plain, xm = sdtasdt0(sK69,xl), inference(demodulation, [status(thm)], [d16,c58])). % 23.48/5.60 cnf(d18, plain, xm = sdtasdt0(sK69,sz00), inference(demodulation, [status(thm)], [d17,d8])). % 23.48/5.60 cnf(d19, plain, xm = sz00, inference(demodulation, [status(thm)], [d18,d14])). % 23.48/5.60 cnf(d20, plain, ~doDivides0(sz00,sdtpldt0(xm,xn)), inference(demodulation, [status(thm)], [c70,d8])). % 23.48/5.60 cnf(d21, plain, ~doDivides0(sz00,sdtpldt0(sz00,xn)), inference(demodulation, [status(thm)], [d20,d19])). % 23.48/5.60 cnf(d22, plain, ~doDivides0(sz00,sdtpldt0(sz00,sz00)), inference(demodulation, [status(thm)], [d21,d13])). % 23.48/5.60 cnf(d23, plain, ~doDivides0(sz00,sz00), inference(demodulation, [status(thm)], [d22,d0])). % 23.48/5.60 cnf(d24, plain, sdtasdt0(sz00,sz00) = sz00, inference(resolution, [status(thm)], [c13,c0])). % 23.48/5.60 cnf(d25, plain, X0 != sz00 | ~aNaturalNumber0(sz00) | ~aNaturalNumber0(X0) | ~aNaturalNumber0(sz00) | doDivides0(sz00,X0), inference(superposition, [status(thm)], [d24,c49])). % 23.48/5.60 cnf(d26, plain, X0 != sz00 | ~aNaturalNumber0(X0) | doDivides0(sz00,X0), inference(resolution, [status(thm)], [c0,d25])). % 23.48/5.60 cnf(d27, plain, ~aNaturalNumber0(sz00) | doDivides0(sz00,sz00), inference(equality_resolution, [status(thm)], [d26])). % 23.48/5.60 cnf(d28, plain, doDivides0(sz00,sz00), inference(resolution, [status(thm)], [c0,d27])). % 23.48/5.60 cnf(d29, plain, $false, inference(resolution, [status(thm)], [d28,d23])). % 23.48/5.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------