%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG081+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 08:25:49 AM UTC 2026 % Result : Theorem 12.52s 8.19s % Output : CNFRefutation 12.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG081+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/5.36 % Computer : n014.cluster.edu % 0.09/5.36 % Model : x86_64 x86_64 % 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.36 % Memory : 8046.5625MB % 0.09/5.36 % OS : Linux 6.8.0-71-generic % 0.09/5.36 % CPULimit : 300 % 0.09/5.36 % WCLimit : 300 % 0.09/5.36 % DateTime : Sat Sep 26 06:00:53 UTC 2026 % 0.09/5.37 % CPUTime : % 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.52/8.19 % SZS status Theorem for theBenchmark.p % 12.52/8.19 % SZS output start CNFRefutation for theBenchmark.p % 12.52/8.19 fof(mSZeroSc, axiom, aScalar0(sz0z00)). % 12.52/8.19 fof(mLEMonM, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((aScalar0(X0) & (aScalar0(X1) & (aScalar0(X2) & aScalar0(X3)))) => ((sdtlseqdt0(X0,X1) & (sdtlseqdt0(sz0z00,X2) & sdtlseqdt0(X2,X3))) => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)))))). % 12.52/8.19 fof(mScPr, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aVector0(X1)) => (aDimensionOf0(X0) = aDimensionOf0(X1) => aScalar0(sdtasasdt0(X0,X1)))))). % 12.52/8.19 fof(mDefSPZ, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aVector0(X1)) => ((aDimensionOf0(X0) = aDimensionOf0(X1) & aDimensionOf0(X1) = sz00) => sdtasasdt0(X0,X1) = sz0z00)))). % 12.52/8.19 fof(mScSqPos, axiom, ! [X0] : ((aVector0(X0) => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))))). % 12.52/8.19 fof(m__1678, hypothesis, (aVector0(xs) & aVector0(xt))). % 12.52/8.19 fof(m__1678_01, hypothesis, aDimensionOf0(xs) = aDimensionOf0(xt)). % 12.52/8.19 fof(m__, conjecture, ((aDimensionOf0(xs) != sz00 => ? [X0] : ((aVector0(X0) & (szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs) & (! [X1] : ((aNaturalNumber0(X1) => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1))) & (X0 = sziznziztdt0(xs) & ? [X1] : ((aVector0(X1) & (szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt) & (! [X2] : ((aNaturalNumber0(X2) => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2))) & (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))))). % 12.52/8.19 fof(negated_conjecture, negated_conjecture, ~(((aDimensionOf0(xs) != sz00 => ? [X0] : ((aVector0(X0) & (szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs) & (! [X1] : ((aNaturalNumber0(X1) => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1))) & (X0 = sziznziztdt0(xs) & ? [X1] : ((aVector0(X1) & (szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt) & (! [X2] : ((aNaturalNumber0(X2) => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2))) & (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__])). % 12.52/8.19 cnf(c7, plain, aScalar0(sz0z00), inference(clausification, [status(esa)], [mSZeroSc])). % 12.52/8.19 cnf(c34, plain, ~aScalar0(X0) | sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X0)) | ~sdtlseqdt0(sz0z00,X2) | ~sdtlseqdt0(X1,X3) | ~aScalar0(X1) | ~sdtlseqdt0(X2,X0) | ~aScalar0(X3) | ~aScalar0(X2), inference(clausification, [status(esa)], [mLEMonM])). % 12.52/8.19 cnf(c50, plain, ~aVector0(X0) | ~aVector0(X1) | aDimensionOf0(X0) != aDimensionOf0(X1) | aScalar0(sdtasasdt0(X0,X1)), inference(clausification, [status(esa)], [mScPr])). % 12.52/8.19 cnf(c51, plain, aDimensionOf0(X0) != sz00 | aDimensionOf0(X1) != aDimensionOf0(X0) | ~aVector0(X0) | ~aVector0(X1) | sdtasasdt0(X1,X0) = sz0z00, inference(clausification, [status(esa)], [mDefSPZ])). % 12.52/8.19 cnf(c53, plain, ~aVector0(X0) | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)), inference(clausification, [status(esa)], [mScSqPos])). % 12.52/8.19 cnf(c54, plain, aVector0(xs), inference(clausification, [status(esa)], [m__1678])). % 12.52/8.19 cnf(c55, plain, aVector0(xt), inference(clausification, [status(esa)], [m__1678])). % 12.52/8.19 cnf(c57, plain, aDimensionOf0(xs) = aDimensionOf0(xt), inference(clausification, [status(esa)], [m__1678_01])). % 12.52/8.19 cnf(c58, plain, aDimensionOf0(xs) = sz00 | X0, inference(clausification, [status(esa)], [negated_conjecture])). % 12.52/8.19 cnf(c59, plain, ~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))), inference(clausification, [status(esa)], [negated_conjecture])). % 12.52/8.19 cnf(c95, plain, ~X0 | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))), inference(clausification, [status(esa)], [negated_conjecture])). % 12.52/8.19 cnf(d0, plain, ~'Ts74', inference(resolution, [status(thm)], [c59,c95])). % 12.52/8.19 cnf(d1, plain, aDimensionOf0(xs) = sz00, inference(resolution, [status(thm)], [d0,c58])). % 12.52/8.19 cnf(d2, plain, sz00 = aDimensionOf0(xt), inference(demodulation, [status(thm)], [c57,d1])). % 12.52/8.19 cnf(d3, plain, aDimensionOf0(X0) != aDimensionOf0(xs) | aDimensionOf0(xt) != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(superposition, [status(thm)], [c57,c51])). % 12.52/8.19 cnf(d4, plain, aDimensionOf0(X0) != sz00 | aDimensionOf0(xt) != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(demodulation, [status(thm)], [d3,d1])). % 12.52/8.19 cnf(d5, plain, aDimensionOf0(X0) != sz00 | sz00 != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0) | ~aVector0(xt), inference(demodulation, [status(thm)], [d4,d2])). % 12.52/8.19 cnf(d6, plain, aDimensionOf0(X0) != sz00 | sz00 != sz00 | sdtasasdt0(X0,xt) = sz0z00 | ~aVector0(X0), inference(resolution, [status(thm)], [c55,d5])). % 12.52/8.19 cnf(d7, plain, sz00 != sz00 | sz00 != sz00 | sdtasasdt0(xs,xt) = sz0z00 | ~aVector0(xs), inference(superposition, [status(thm)], [d1,d6])). % 12.52/8.19 cnf(d8, plain, sz00 != sz00 | sdtasasdt0(xs,xt) = sz0z00, inference(resolution, [status(thm)], [c54,d7])). % 12.52/8.19 cnf(d9, plain, sdtasasdt0(xs,xt) = sz0z00, inference(equality_resolution, [status(thm)], [d8])). % 12.52/8.19 cnf(d10, plain, aDimensionOf0(X0) != sz00 | sdtasasdt0(X0,X0) = sz0z00 | ~aVector0(X0) | ~aVector0(X0), inference(equality_resolution, [status(thm)], [c51])). % 12.52/8.19 cnf(d11, plain, sz00 != sz00 | sdtasasdt0(xt,xt) = sz0z00 | ~aVector0(xt), inference(superposition, [status(thm)], [d2,d10])). % 12.52/8.19 cnf(d12, plain, sz00 != sz00 | sdtasasdt0(xt,xt) = sz0z00, inference(resolution, [status(thm)], [c55,d11])). % 12.52/8.19 cnf(d13, plain, sdtasasdt0(xt,xt) = sz0z00, inference(equality_resolution, [status(thm)], [d12])). % 12.52/8.19 cnf(d14, plain, sz00 != sz00 | sdtasasdt0(xs,xs) = sz0z00 | ~aVector0(xs), inference(superposition, [status(thm)], [d1,d10])). % 12.52/8.19 cnf(d15, plain, sz00 != sz00 | sdtasasdt0(xs,xs) = sz0z00, inference(resolution, [status(thm)], [c54,d14])). % 12.52/8.19 cnf(d16, plain, sdtasasdt0(xs,xs) = sz0z00, inference(equality_resolution, [status(thm)], [d15])). % 12.52/8.19 cnf(d17, plain, ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sdtasasdt0(xt,xt)) | ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sdtasasdt0(xs,xs)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)), inference(resolution, [status(thm)], [c59,c34])). % 12.52/8.19 cnf(d18, plain, ~aScalar0(sz0z00) | ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sdtasasdt0(xt,xt)) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)), inference(demodulation, [status(thm)], [d17,d16])). % 12.52/8.19 cnf(d19, plain, ~aScalar0(sz0z00) | ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)), inference(demodulation, [status(thm)], [d18,d13])). % 12.52/8.19 cnf(d20, plain, ~aScalar0(sz0z00) | ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)), inference(demodulation, [status(thm)], [d19,d16])). % 12.52/8.19 cnf(d21, plain, ~aScalar0(sz0z00) | ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00), inference(demodulation, [status(thm)], [d20,d13])). % 12.52/8.19 cnf(d22, plain, ~aScalar0(sdtasasdt0(xs,xt)) | ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00), inference(resolution, [status(thm)], [c7,d21])). % 12.52/8.19 cnf(d23, plain, aDimensionOf0(X0) != aDimensionOf0(xs) | aScalar0(sdtasasdt0(X0,xt)) | ~aVector0(X0) | ~aVector0(xt), inference(superposition, [status(thm)], [c57,c50])). % 12.52/8.19 cnf(d24, plain, aDimensionOf0(X0) != sz00 | aScalar0(sdtasasdt0(X0,xt)) | ~aVector0(X0) | ~aVector0(xt), inference(demodulation, [status(thm)], [d23,d1])). % 12.52/8.19 cnf(d25, plain, aDimensionOf0(X0) != sz00 | aScalar0(sdtasasdt0(X0,xt)) | ~aVector0(X0), inference(resolution, [status(thm)], [c55,d24])). % 12.52/8.19 cnf(d26, plain, sz00 != sz00 | aScalar0(sdtasasdt0(xs,xt)) | ~aVector0(xs), inference(superposition, [status(thm)], [d1,d25])). % 12.52/8.19 cnf(d27, plain, sz00 != sz00 | aScalar0(sdtasasdt0(xs,xt)), inference(resolution, [status(thm)], [c54,d26])). % 12.52/8.19 cnf(d28, plain, aScalar0(sdtasasdt0(xs,xt)), inference(equality_resolution, [status(thm)], [d27])). % 12.52/8.19 cnf(d29, plain, ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00), inference(resolution, [status(thm)], [d28,d22])). % 12.52/8.19 cnf(d30, plain, ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sz0z00) | ~sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00), inference(demodulation, [status(thm)], [d29,d9])). % 12.52/8.19 cnf(d31, plain, ~aScalar0(sz0z00) | ~sdtlseqdt0(sz0z00,sz0z00) | ~sdtlseqdt0(sz0z00,sz0z00), inference(demodulation, [status(thm)], [d30,d9])). % 12.52/8.19 cnf(d32, plain, ~sdtlseqdt0(sz0z00,sz0z00) | ~sdtlseqdt0(sz0z00,sz0z00), inference(resolution, [status(thm)], [c7,d31])). % 12.52/8.19 cnf(d33, plain, sdtlseqdt0(sz0z00,sz0z00) | ~aVector0(xt), inference(superposition, [status(thm)], [d13,c53])). % 12.52/8.19 cnf(d34, plain, sdtlseqdt0(sz0z00,sz0z00), inference(resolution, [status(thm)], [c55,d33])). % 12.52/8.19 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d34,d32])). % 12.52/8.19 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------