%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG049+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 : 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 10.50s 3.82s % Output : CNFRefutation 10.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG049+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n003.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 05:53:54 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 10.50/3.82 % SZS status Theorem for theBenchmark.p % 10.50/3.82 % SZS output start CNFRefutation for theBenchmark.p % 10.50/3.82 fof(mMulSc, axiom, ! [X0] : ! [X1] : (((aScalar0(X0) & aScalar0(X1)) => aScalar0(sdtasdt0(X0,X1))))). % 10.50/3.82 fof(mPosMon, axiom, ! [X0] : ! [X1] : (((aScalar0(X0) & aScalar0(X1)) => ((sdtlseqdt0(sz0z00,X0) & sdtlseqdt0(sz0z00,X1)) => (sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) & sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))))))). % 10.50/3.82 fof(mDimNat, axiom, ! [X0] : ((aVector0(X0) => aNaturalNumber0(aDimensionOf0(X0))))). % 10.50/3.82 fof(mElmSc, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aNaturalNumber0(X1)) => aScalar0(sdtlbdtrb0(X0,X1))))). % 10.50/3.82 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))))))))))). % 10.50/3.82 fof(mScPr, axiom, ! [X0] : ! [X1] : (((aVector0(X0) & aVector0(X1)) => (aDimensionOf0(X0) = aDimensionOf0(X1) => aScalar0(sdtasasdt0(X0,X1)))))). % 10.50/3.82 fof(m__1542, hypothesis, aVector0(xs)). % 10.50/3.82 fof(m__1542_01, hypothesis, aDimensionOf0(xs) != sz00). % 10.50/3.82 fof(m__1568, hypothesis, sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))). % 10.50/3.82 fof(m__1590, hypothesis, (sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) & sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))))). % 10.50/3.82 fof(m__, conjecture, sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))). % 10.50/3.82 fof(negated_conjecture, negated_conjecture, ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)), inference(negate_conjecture, [status(cth)], [m__])). % 10.50/3.82 cnf(c9, plain, ~aScalar0(X0) | ~aScalar0(X1) | aScalar0(sdtasdt0(X0,X1)), inference(clausification, [status(esa)], [mMulSc])). % 10.50/3.82 cnf(c36, plain, ~sdtlseqdt0(sz0z00,X0) | ~sdtlseqdt0(sz0z00,X1) | ~aScalar0(X1) | ~aScalar0(X0) | sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)), inference(clausification, [status(esa)], [mPosMon])). % 10.50/3.82 cnf(c40, plain, ~aVector0(X0) | aNaturalNumber0(aDimensionOf0(X0)), inference(clausification, [status(esa)], [mDimNat])). % 10.50/3.82 cnf(c41, plain, ~aVector0(X0) | ~aNaturalNumber0(X1) | aScalar0(sdtlbdtrb0(X0,X1)), inference(clausification, [status(esa)], [mElmSc])). % 10.50/3.82 cnf(c42, plain, ~aVector0(X0) | aDimensionOf0(X0) = sz00 | X1 != sziznziztdt0(X0) | X2(X0,X1), inference(clausification, [status(esa)], [mDefInit])). % 10.50/3.82 cnf(c44, plain, ~X0(X1,X2) | aVector0(X2), inference(clausification, [status(esa)], [mDefInit])). % 10.50/3.82 cnf(c50, plain, ~aVector0(X0) | ~aVector0(X1) | aDimensionOf0(X0) != aDimensionOf0(X1) | aScalar0(sdtasasdt0(X0,X1)), inference(clausification, [status(esa)], [mScPr])). % 10.50/3.82 cnf(c53, plain, aVector0(xs), inference(clausification, [status(esa)], [m__1542])). % 10.50/3.82 cnf(c55, plain, aDimensionOf0(xs) != sz00, inference(clausification, [status(esa)], [m__1542_01])). % 10.50/3.82 cnf(c56, plain, sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))), inference(clausification, [status(esa)], [m__1568])). % 10.50/3.82 cnf(c57, plain, sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))), inference(clausification, [status(esa)], [m__1590])). % 10.50/3.82 cnf(c58, plain, sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))), inference(clausification, [status(esa)], [m__1590])). % 10.50/3.82 cnf(c59, plain, ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)), inference(clausification, [status(esa)], [negated_conjecture])). % 10.50/3.82 cnf(d0, plain, aScalar0(sdtasasdt0(X0,X0)) | ~aVector0(X0) | ~aVector0(X0), inference(equality_resolution, [status(thm)], [c50])). % 10.50/3.82 cnf(d1, plain, sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) | ~aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) | ~aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) | ~sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) | ~sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))), inference(superposition, [status(thm)], [c56,c36])). % 10.50/3.82 cnf(d2, plain, ~aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) | ~aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) | ~sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) | ~sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))), inference(resolution, [status(thm)], [c59,d1])). % 10.50/3.82 cnf(d3, plain, ~aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) | ~aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) | ~sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))), inference(resolution, [status(thm)], [c57,d2])). % 10.50/3.82 cnf(d4, plain, ~aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) | ~aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))), inference(resolution, [status(thm)], [c58,d3])). % 10.50/3.82 cnf(d5, plain, ~aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) | ~aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) | ~aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))), inference(resolution, [status(thm)], [d4,c9])). % 10.50/3.82 cnf(d6, plain, ~aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) | ~aVector0(sziznziztdt0(xs)), inference(resolution, [status(thm)], [d5,d0])). % 10.50/3.82 cnf(d7, plain, ~aVector0(sziznziztdt0(xs)) | ~aNaturalNumber0(aDimensionOf0(xs)) | ~aVector0(xs), inference(resolution, [status(thm)], [d6,c41])). % 10.50/3.82 cnf(d8, plain, ~aNaturalNumber0(aDimensionOf0(xs)) | ~aVector0(sziznziztdt0(xs)), inference(resolution, [status(thm)], [c53,d7])). % 10.50/3.82 cnf(d9, plain, aDimensionOf0(X0) = sz00 | ~aVector0(X0) | 'Ts58'(X0,sziznziztdt0(X0)), inference(equality_resolution, [status(thm)], [c42])). % 10.50/3.82 cnf(d10, plain, aDimensionOf0(X0) = sz00 | ~aVector0(X0) | aVector0(sziznziztdt0(X0)), inference(resolution, [status(thm)], [d9,c44])). % 10.50/3.82 cnf(d11, plain, aDimensionOf0(xs) = sz00 | ~aVector0(xs) | ~aNaturalNumber0(aDimensionOf0(xs)), inference(resolution, [status(thm)], [d10,d8])). % 10.50/3.82 cnf(d12, plain, aDimensionOf0(xs) = sz00 | ~aNaturalNumber0(aDimensionOf0(xs)), inference(resolution, [status(thm)], [c53,d11])). % 10.50/3.82 cnf(d13, plain, ~aNaturalNumber0(aDimensionOf0(xs)), inference(resolution, [status(thm)], [c55,d12])). % 10.50/3.82 cnf(d14, plain, ~aVector0(xs), inference(resolution, [status(thm)], [d13,c40])). % 10.50/3.82 cnf(d15, plain, $false, inference(resolution, [status(thm)], [c53,d14])). % 10.50/3.82 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------