%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG047+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 : n003.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 08:25:42 AM UTC 2026 % Result : Theorem 41.25s 6.91s % Output : CNFRefutation 41.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : RNG047+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 % 0.09/0.38 % Computer : n003.cluster.edu % 0.09/0.38 % Model : x86_64 x86_64 % 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.38 % Memory : 8046.5625MB % 0.09/0.38 % OS : Linux 6.8.0-71-generic % 0.09/0.38 % CPULimit : 300 % 0.09/0.38 % WCLimit : 300 % 0.09/0.38 % DateTime : Sat Sep 26 05:53:39 UTC 2026 % 0.09/0.38 % CPUTime : % 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.25/6.91 % SZS status Theorem for theBenchmark.p % 41.25/6.91 % SZS output start CNFRefutation for theBenchmark.p % 41.25/6.91 fof(mNatExtr, axiom, ! [X0] : (((aNaturalNumber0(X0) & X0 != sz00) => ? [X1] : ((aNaturalNumber0(X1) & X0 = szszuzczcdt0(X1)))))). % 41.25/6.91 fof(mSuccEqu, axiom, ! [X0] : ! [X1] : (((aNaturalNumber0(X0) & aNaturalNumber0(X1)) => (szszuzczcdt0(X0) = szszuzczcdt0(X1) => X0 = X1)))). % 41.25/6.91 fof(mDimNat, axiom, ! [X0] : ((aVector0(X0) => aNaturalNumber0(aDimensionOf0(X0))))). % 41.25/6.91 fof(mDefInit, definition, ! [X0] : ((aVector0(X0) => (aDimensionOf0(X0) != sz00 => ! [X1] : ((X1 = sziznziztdt0(X0) <=> (aVector0(X1) & (szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0) & ! [X2] : ((aNaturalNumber0(X2) => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2))))))))))). % 41.25/6.91 fof(m__1329, hypothesis, (aVector0(xs) & aVector0(xt))). % 41.25/6.91 fof(m__1329_01, hypothesis, (aDimensionOf0(xs) = aDimensionOf0(xt) & aDimensionOf0(xt) != sz00)). % 41.25/6.91 fof(m__, conjecture, aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))). % 41.25/6.91 fof(negated_conjecture, negated_conjecture, aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)), inference(negate_conjecture, [status(cth)], [m__])). % 41.25/6.91 cnf(c4, plain, X0 = sz00 | ~aNaturalNumber0(X0) | szszuzczcdt0(sK2(X0)) = X0, inference(clausification, [status(esa)], [mNatExtr])). % 41.25/6.91 cnf(c5, plain, ~aNaturalNumber0(X0) | ~aNaturalNumber0(X1) | X0 = X1 | szszuzczcdt0(X0) != szszuzczcdt0(X1), inference(clausification, [status(esa)], [mSuccEqu])). % 41.25/6.91 cnf(c40, plain, ~aVector0(X0) | aNaturalNumber0(aDimensionOf0(X0)), inference(clausification, [status(esa)], [mDimNat])). % 41.25/6.91 cnf(c42, plain, ~aVector0(X0) | X1(X0) | aDimensionOf0(X0) = sz00, inference(clausification, [status(esa)], [mDefInit])). % 41.25/6.91 cnf(c43, plain, ~X0(X1) | sziznziztdt0(X1) != X2 | aVector0(X2), inference(clausification, [status(esa)], [mDefInit])). % 41.25/6.91 cnf(c45, plain, ~X0(X1) | sziznziztdt0(X1) != X2 | aDimensionOf0(X1) = szszuzczcdt0(aDimensionOf0(X2)), inference(clausification, [status(esa)], [mDefInit])). % 41.25/6.91 cnf(c48, plain, aVector0(xs), inference(clausification, [status(esa)], [m__1329])). % 41.25/6.91 cnf(c49, plain, aVector0(xt), inference(clausification, [status(esa)], [m__1329])). % 41.25/6.91 cnf(c50, plain, aDimensionOf0(xt) = aDimensionOf0(xs), inference(clausification, [status(esa)], [m__1329_01])). % 41.25/6.91 cnf(c51, plain, aDimensionOf0(xt) != sz00, inference(clausification, [status(esa)], [m__1329_01])). % 41.25/6.91 cnf(c52, plain, aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)), inference(clausification, [status(esa)], [negated_conjecture])). % 41.25/6.91 cnf(d0, plain, aVector0(sziznziztdt0(X0)) | ~'Ts51'(X0), inference(equality_resolution, [status(thm)], [c43])). % 41.25/6.91 cnf(d1, plain, aDimensionOf0(xs) = sz00 | 'Ts51'(xs), inference(resolution, [status(thm)], [c42,c48])). % 41.25/6.91 cnf(d2, plain, aDimensionOf0(xt) = sz00 | 'Ts51'(xs), inference(demodulation, [status(thm)], [d1,c50])). % 41.25/6.91 cnf(d3, plain, 'Ts51'(xs), inference(resolution, [status(thm)], [c51,d2])). % 41.25/6.91 cnf(d4, plain, aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) | ~'Ts51'(X0), inference(equality_resolution, [status(thm)], [c45])). % 41.25/6.91 cnf(d5, plain, aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))), inference(resolution, [status(thm)], [d4,d3])). % 41.25/6.91 cnf(d6, plain, aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))), inference(demodulation, [status(thm)], [d5,c50])). % 41.25/6.91 cnf(d7, plain, szszuzczcdt0(X0) != aDimensionOf0(xt) | X0 = aDimensionOf0(sziznziztdt0(xs)) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) | ~aNaturalNumber0(X0), inference(superposition, [status(thm)], [d6,c5])). % 41.25/6.91 cnf(d8, plain, aDimensionOf0(xt) = sz00 | 'Ts51'(xt), inference(resolution, [status(thm)], [c42,c49])). % 41.25/6.91 cnf(d9, plain, 'Ts51'(xt), inference(resolution, [status(thm)], [c51,d8])). % 41.25/6.91 cnf(d10, plain, aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))), inference(resolution, [status(thm)], [d4,d9])). % 41.25/6.91 cnf(d11, plain, aDimensionOf0(xt) != aDimensionOf0(xt) | aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs)) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))), inference(superposition, [status(thm)], [d10,d7])). % 41.25/6.91 cnf(d12, plain, aDimensionOf0(xt) != aDimensionOf0(xt) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))), inference(resolution, [status(thm)], [c52,d11])). % 41.25/6.91 cnf(d13, plain, aNaturalNumber0(aDimensionOf0(xt)) | ~aVector0(xs), inference(superposition, [status(thm)], [c50,c40])). % 41.25/6.91 cnf(d14, plain, aNaturalNumber0(aDimensionOf0(xt)), inference(resolution, [status(thm)], [c48,d13])). % 41.25/6.91 cnf(d15, plain, aDimensionOf0(xt) = sz00 | szszuzczcdt0(sK2(aDimensionOf0(xt))) = aDimensionOf0(xt), inference(resolution, [status(thm)], [d14,c4])). % 41.25/6.91 cnf(d16, plain, szszuzczcdt0(sK2(aDimensionOf0(xt))) = aDimensionOf0(xt), inference(resolution, [status(thm)], [c51,d15])). % 41.25/6.91 cnf(d17, plain, ~aVector0(X0) | aDimensionOf0(X0) = sz00 | szszuzczcdt0(sK2(aDimensionOf0(X0))) = aDimensionOf0(X0), inference(resolution, [status(thm)], [c40,c4])). % 41.25/6.91 cnf(d18, plain, szszuzczcdt0(sK2(aDimensionOf0(xs))) = aDimensionOf0(xs) | aDimensionOf0(xs) = sz00, inference(resolution, [status(thm)], [d17,c48])). % 41.25/6.91 cnf(d19, plain, szszuzczcdt0(sK2(aDimensionOf0(xt))) = aDimensionOf0(xs) | aDimensionOf0(xs) = sz00, inference(demodulation, [status(thm)], [d18,c50])). % 41.25/6.91 cnf(d20, plain, aDimensionOf0(xt) = aDimensionOf0(xs) | aDimensionOf0(xs) = sz00, inference(demodulation, [status(thm)], [d19,d16])). % 41.25/6.91 cnf(d21, plain, aDimensionOf0(xt) = aDimensionOf0(xt) | aDimensionOf0(xs) = sz00, inference(demodulation, [status(thm)], [d20,c50])). % 41.25/6.91 cnf(d22, plain, aDimensionOf0(xt) = aDimensionOf0(xt) | aDimensionOf0(xt) = sz00, inference(demodulation, [status(thm)], [d21,c50])). % 41.25/6.91 cnf(d23, plain, aDimensionOf0(xt) = aDimensionOf0(xt), inference(resolution, [status(thm)], [c51,d22])). % 41.25/6.91 cnf(d24, plain, ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) | ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))), inference(resolution, [status(thm)], [d23,d12])). % 41.25/6.91 cnf(d25, plain, ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) | ~aVector0(sziznziztdt0(xt)), inference(resolution, [status(thm)], [d24,c40])). % 41.25/6.91 cnf(d26, plain, ~aVector0(sziznziztdt0(xt)) | ~aVector0(sziznziztdt0(xs)), inference(resolution, [status(thm)], [d25,c40])). % 41.25/6.91 cnf(d27, plain, ~aVector0(sziznziztdt0(xs)) | ~'Ts51'(xt), inference(resolution, [status(thm)], [d26,d0])). % 41.25/6.91 cnf(d28, plain, ~aVector0(sziznziztdt0(xs)), inference(resolution, [status(thm)], [d9,d27])). % 41.25/6.91 cnf(d29, plain, ~'Ts51'(xs), inference(resolution, [status(thm)], [d28,d0])). % 41.25/6.91 cnf(d30, plain, $false, inference(resolution, [status(thm)], [d3,d29])). % 41.25/6.91 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------