%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG081+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 : n002.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 08:25:48 AM UTC 2026 % Result : Theorem 22.27s 14.00s % Output : CNFRefutation 22.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : RNG081+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 % 0.18/10.65 % Computer : n002.cluster.edu % 0.18/10.65 % Model : x86_64 x86_64 % 0.18/10.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/10.65 % Memory : 8046.5625MB % 0.18/10.65 % OS : Linux 6.8.0-71-generic % 0.18/10.65 % CPULimit : 300 % 0.18/10.65 % WCLimit : 300 % 0.18/10.65 % DateTime : Sat Sep 26 06:03:33 UTC 2026 % 0.18/10.66 % CPUTime : % 0.18/10.66 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 22.27/14.00 % SZS status Theorem for theBenchmark.p % 22.27/14.00 % SZS output start CNFRefutation for theBenchmark.p % 22.27/14.00 fof(mScZero, axiom, ! [X0] : ((aScalar0(X0) => (sdtpldt0(X0,sz0z00) = X0 & (sdtpldt0(sz0z00,X0) = X0 & (sdtasdt0(X0,sz0z00) = sz0z00 & (sdtasdt0(sz0z00,X0) = sz0z00 & (sdtpldt0(X0,smndt0(X0)) = sz0z00 & (sdtpldt0(smndt0(X0),X0) = sz0z00 & (smndt0(smndt0(X0)) = X0 & smndt0(sz0z00) = sz0z00)))))))))). % 22.27/14.00 fof(mScPr, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aVector0(X1)) => (aDimensionOf0(X0) = aDimensionOf0(X1) => aScalar0(sdtasasdt0(X0,X1)))))). % 22.27/14.00 fof(mDefSPZ, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aVector0(X1)) => ((aDimensionOf0(X0) = aDimensionOf0(X1) & aDimensionOf0(X1) = sz00) => sdtasasdt0(X0,X1) = sz0z00)))). % 22.27/14.00 fof(mScSqPos, axiom, ! [X0] : ((aVector0(X0) => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))))). % 22.27/14.00 fof(m__1678, hypothesis, (aVector0(xs) & aVector0(xt))). % 22.27/14.00 fof(m__1678_01, hypothesis, aDimensionOf0(xs) = aDimensionOf0(xt)). % 22.27/14.00 fof(m__, conjecture, ((aDimensionOf0(xs) != sz00 => ? [X0] : ((aVector0(X0) & (X0 = sziznziztdt0(xs) & ? [X1] : ((aVector0(X1) & (X1 = sziznziztdt0(xt) & ? [X2] : ((aScalar0(X2) & (X2 = sdtlbdtrb0(xs,aDimensionOf0(xs)) & ? [X3] : ((aScalar0(X3) & (X3 = sdtlbdtrb0(xt,aDimensionOf0(xt)) & ? [X4] : ((aScalar0(X4) & (X4 = sdtasasdt0(X0,X0) & ? [X5] : ((aScalar0(X5) & (X5 = sdtasasdt0(X1,X1) & ? [X6] : ((aScalar0(X6) & (X6 = sdtasasdt0(X0,X1) & ? [X7] : ((aScalar0(X7) & (X7 = sdtasdt0(X2,X2) & ? [X8] : ((aScalar0(X8) & (X8 = sdtasdt0(X3,X3) & ? [X9] : ((aScalar0(X9) & (X9 = sdtasdt0(X2,X3) & ? [X10] : ((aScalar0(X10) & (X10 = sdtasdt0(X4,X8) & ? [X11] : ((aScalar0(X11) & (X11 = sdtasdt0(X6,X9) & ? [X12] : ((aScalar0(X12) & (X12 = sdtasdt0(X7,X5) & ? [X13] : ((aScalar0(X13) & (X13 = sdtasdt0(X10,X12) & (sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5)) & (sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) & (sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8))) & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))))))))))))))))))))))))))))))))) => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))). % 22.27/14.00 fof(negated_conjecture, negated_conjecture, ~(((aDimensionOf0(xs) != sz00 => ? [X0] : ((aVector0(X0) & (X0 = sziznziztdt0(xs) & ? [X1] : ((aVector0(X1) & (X1 = sziznziztdt0(xt) & ? [X2] : ((aScalar0(X2) & (X2 = sdtlbdtrb0(xs,aDimensionOf0(xs)) & ? [X3] : ((aScalar0(X3) & (X3 = sdtlbdtrb0(xt,aDimensionOf0(xt)) & ? [X4] : ((aScalar0(X4) & (X4 = sdtasasdt0(X0,X0) & ? [X5] : ((aScalar0(X5) & (X5 = sdtasasdt0(X1,X1) & ? [X6] : ((aScalar0(X6) & (X6 = sdtasasdt0(X0,X1) & ? [X7] : ((aScalar0(X7) & (X7 = sdtasdt0(X2,X2) & ? [X8] : ((aScalar0(X8) & (X8 = sdtasdt0(X3,X3) & ? [X9] : ((aScalar0(X9) & (X9 = sdtasdt0(X2,X3) & ? [X10] : ((aScalar0(X10) & (X10 = sdtasdt0(X4,X8) & ? [X11] : ((aScalar0(X11) & (X11 = sdtasdt0(X6,X9) & ? [X12] : ((aScalar0(X12) & (X12 = sdtasdt0(X7,X5) & ? [X13] : ((aScalar0(X13) & (X13 = sdtasdt0(X10,X12) & (sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5)) & (sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) & (sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8))) & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))))))))))))))))))))))))))))))))) => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))), inference(negate_conjecture, [status(cth)], [m__])). % 22.27/14.00 cnf(c11, plain, ~aScalar0(X0) | X1(X0), inference(clausification, [status(esa)], [mScZero])). % 22.27/14.00 cnf(c14, plain, ~X0(X1) | sdtasdt0(X1,sz0z00) = sz0z00, inference(clausification, [status(esa)], [mScZero])). % 22.27/14.00 cnf(c50, plain, ~aVector0(X0) | ~aVector0(X1) | aDimensionOf0(X0) != aDimensionOf0(X1) | aScalar0(sdtasasdt0(X0,X1)), inference(clausification, [status(esa)], [mScPr])). % 22.27/14.00 cnf(c51, plain, aDimensionOf0(X0) != sz00 | aDimensionOf0(X1) != aDimensionOf0(X0) | ~aVector0(X0) | ~aVector0(X1) | sdtasasdt0(X1,X0) = sz0z00, inference(clausification, [status(esa)], [mDefSPZ])). % 22.27/14.00 cnf(c53, plain, ~aVector0(X0) | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)), inference(clausification, [status(esa)], [mScSqPos])). % 22.27/14.00 cnf(c54, plain, aVector0(xs), inference(clausification, [status(esa)], [m__1678])). % 22.27/14.00 cnf(c55, plain, aVector0(xt), inference(clausification, [status(esa)], [m__1678])). % 22.27/14.00 cnf(c57, plain, aDimensionOf0(xs) = aDimensionOf0(xt), inference(clausification, [status(esa)], [m__1678_01])). % 22.27/14.00 cnf(c58, plain, aDimensionOf0(xs) = sz00 | X0, inference(clausification, [status(esa)], [negated_conjecture])). % 22.27/14.00 cnf(c59, plain, ~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))), inference(clausification, [status(esa)], [negated_conjecture])). % 22.27/14.00 cnf(c91, plain, ~X0 | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))), inference(clausification, [status(esa)], [negated_conjecture])). % 22.27/14.00 cnf(d0, plain, aDimensionOf0(X0) != sz00 | sdtasasdt0(X0,X0) = sz0z00 | ~aVector0(X0) | ~aVector0(X0), inference(equality_resolution, [status(thm)], [c51])). % 22.27/14.00 cnf(d1, plain, ~'Ts74', inference(resolution, [status(thm)], [c59,c91])). % 22.27/14.00 cnf(d2, plain, aDimensionOf0(xs) = sz00, inference(resolution, [status(thm)], [d1,c58])). % 22.27/14.00 cnf(d3, plain, sz00 != sz00 | sdtasasdt0(xs,xs) = sz0z00 | ~aVector0(xs), inference(superposition, [status(thm)], [d2,d0])). % 22.27/14.00 cnf(d4, plain, sz00 != sz00 | sdtasasdt0(xs,xs) = sz0z00, inference(resolution, [status(thm)], [c54,d3])). % 22.27/14.00 cnf(d5, plain, sdtasasdt0(xs,xs) = sz0z00, inference(equality_resolution, [status(thm)], [d4])). % 22.27/14.00 cnf(d6, plain, sz00 != aDimensionOf0(X0) | aScalar0(sdtasasdt0(xs,X0)) | ~aVector0(xs) | ~aVector0(X0), inference(superposition, [status(thm)], [d2,c50])). % 22.27/14.00 cnf(d7, plain, sz00 != aDimensionOf0(X0) | aScalar0(sdtasasdt0(xs,X0)) | ~aVector0(X0), inference(resolution, [status(thm)], [c54,d6])). % 22.27/14.00 cnf(d8, plain, sz00 != sz00 | aScalar0(sdtasasdt0(xs,xs)) | ~aVector0(xs), inference(superposition, [status(thm)], [d2,d7])). % 22.27/14.00 cnf(d9, plain, sz00 != sz00 | aScalar0(sdtasasdt0(xs,xs)), inference(resolution, [status(thm)], [c54,d8])). % 22.27/14.00 cnf(d10, plain, aScalar0(sdtasasdt0(xs,xs)), inference(equality_resolution, [status(thm)], [d9])). % 22.27/14.00 cnf(d11, plain, 'Ts15'(sdtasasdt0(xs,xs)), inference(resolution, [status(thm)], [d10,c11])). % 22.27/14.00 cnf(d12, plain, sdtasdt0(sdtasasdt0(xs,xs),sz0z00) = sz0z00, inference(resolution, [status(thm)], [d11,c14])). % 22.27/14.00 cnf(d13, plain, sdtasdt0(sz0z00,sz0z00) = sz0z00, inference(demodulation, [status(thm)], [d12,d5])). % 22.27/14.00 cnf(d14, plain, sz00 = aDimensionOf0(xt), inference(demodulation, [status(thm)], [c57,d2])). % 22.27/14.00 cnf(d15, plain, aDimensionOf0(X0) != aDimensionOf0(xs) | aDimensionOf0(xt) != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(superposition, [status(thm)], [c57,c51])). % 22.27/14.00 cnf(d16, plain, aDimensionOf0(X0) != sz00 | aDimensionOf0(xt) != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(demodulation, [status(thm)], [d15,d2])). % 22.27/14.00 cnf(d17, plain, aDimensionOf0(X0) != sz00 | sz00 != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(demodulation, [status(thm)], [d16,d14])). % 22.27/14.00 cnf(d18, plain, aDimensionOf0(X0) != sz00 | sz00 != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0), inference(resolution, [status(thm)], [c55,d17])). % 22.27/14.00 cnf(d19, plain, sz00 != sz00 | sz00 != sz00 | sdtasasdt0(xs,xt) = sz0z00 | ~aVector0(xs), inference(superposition, [status(thm)], [d2,d18])). % 22.27/14.00 cnf(d20, plain, sz00 != sz00 | sdtasasdt0(xs,xt) = sz0z00, inference(resolution, [status(thm)], [c54,d19])). % 22.27/14.00 cnf(d21, plain, sdtasasdt0(xs,xt) = sz0z00, inference(equality_resolution, [status(thm)], [d20])). % 22.27/14.00 cnf(d22, plain, sz00 != sz00 | sdtasasdt0(xt,xt) = sz0z00 | ~aVector0(xt), inference(superposition, [status(thm)], [d14,d0])). % 22.27/14.00 cnf(d23, plain, sz00 != sz00 | sdtasasdt0(xt,xt) = sz0z00, inference(resolution, [status(thm)], [c55,d22])). % 22.27/14.00 cnf(d24, plain, sdtasasdt0(xt,xt) = sz0z00, inference(equality_resolution, [status(thm)], [d23])). % 22.27/14.00 cnf(d25, plain, ~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)), inference(demodulation, [status(thm)], [c59,d24])). % 22.27/14.00 cnf(d26, plain, ~sdtlseqdt0(sdtasdt0(sz0z00,sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)), inference(demodulation, [status(thm)], [d25,d21])). % 22.27/14.00 cnf(d27, plain, ~sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)), inference(demodulation, [status(thm)], [d26,d21])). % 22.27/14.00 cnf(d28, plain, ~sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sz0z00)), inference(demodulation, [status(thm)], [d27,d13])). % 22.27/14.00 cnf(d29, plain, ~sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sz0z00)), inference(demodulation, [status(thm)], [d28,d5])). % 22.27/14.00 cnf(d30, plain, ~sdtlseqdt0(sz0z00,sz0z00), inference(demodulation, [status(thm)], [d29,d13])). % 22.27/14.00 cnf(d31, plain, sdtlseqdt0(sz0z00,sz0z00) | ~aVector0(xt), inference(superposition, [status(thm)], [d24,c53])). % 22.27/14.00 cnf(d32, plain, sdtlseqdt0(sz0z00,sz0z00), inference(resolution, [status(thm)], [c55,d31])). % 22.27/14.00 cnf(d33, plain, $false, inference(resolution, [status(thm)], [d32,d30])). % 22.27/14.00 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------