%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM605+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 : n006.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 08:13:18 AM UTC 2026 % Result : Theorem 40.41s 10.75s % Output : CNFRefutation 40.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM605+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 % 0.09/5.56 % Computer : n006.cluster.edu % 0.09/5.56 % Model : x86_64 x86_64 % 0.09/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.56 % Memory : 8046.5625MB % 0.09/5.56 % OS : Linux 6.8.0-71-generic % 0.09/5.56 % CPULimit : 300 % 0.09/5.56 % WCLimit : 300 % 0.09/5.56 % DateTime : Sat Sep 26 03:25:34 UTC 2026 % 0.09/5.56 % CPUTime : % 0.09/5.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 40.41/10.75 % SZS status Theorem for theBenchmark.p % 40.41/10.75 % SZS output start CNFRefutation for theBenchmark.p % 40.41/10.75 fof(mDefEmp, definition, ! [X0] : ((X0 = slcrc0 <=> (aSet0(X0) & ~? [X1] : aElementOf0(X1,X0))))). % 40.41/10.75 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 40.41/10.75 fof(mCardEmpty, axiom, ! [X0] : ((aSet0(X0) => (sbrdtbr0(X0) = sz00 <=> X0 = slcrc0)))). % 40.41/10.75 fof(mSegZero, axiom, slbdtrb0(sz00) = slcrc0). % 40.41/10.75 fof(mCardSeg, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sbrdtbr0(slbdtrb0(X0)) = X0))). % 40.41/10.75 fof(mDefSel, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElementOf0(X1,szNzAzT0)) => ! [X2] : ((X2 = slbdtsldtrb0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aSubsetOf0(X3,X0) & sbrdtbr0(X3) = X1))))))))). % 40.41/10.75 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 40.41/10.75 fof(m__3462, hypothesis, xK != sz00). % 40.41/10.75 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 40.41/10.75 fof(m__5078, hypothesis, aElementOf0(xQ,slbdtsldtrb0(xO,xK))). % 40.41/10.75 fof(m__, conjecture, xQ != slcrc0). % 40.41/10.75 fof(negated_conjecture, negated_conjecture, ~xQ != slcrc0, inference(negate_conjecture, [status(cth)], [m__])). % 40.41/10.75 cnf(c1, plain, X0 != slcrc0 | aSet0(X0), inference(clausification, [status(esa)], [mDefEmp])). % 40.41/10.75 cnf(c54, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 40.41/10.75 cnf(c75, plain, ~aSet0(X0) | sbrdtbr0(X0) = sz00 | X0 != slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 40.41/10.75 cnf(c103, plain, slbdtrb0(sz00) = slcrc0, inference(clausification, [status(esa)], [mSegZero])). % 40.41/10.75 cnf(c111, plain, ~aElementOf0(X0,szNzAzT0) | sbrdtbr0(slbdtrb0(X0)) = X0, inference(clausification, [status(esa)], [mCardSeg])). % 40.41/10.75 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 40.41/10.75 cnf(c116, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 40.41/10.75 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 40.41/10.75 cnf(c184, plain, xK != sz00, inference(clausification, [status(esa)], [m__3462])). % 40.41/10.75 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 40.41/10.75 cnf(c228, plain, aElementOf0(xQ,slbdtsldtrb0(xO,xK)), inference(clausification, [status(esa)], [m__5078])). % 40.41/10.75 cnf(c229, plain, xQ = slcrc0, inference(clausification, [status(esa)], [negated_conjecture])). % 40.41/10.75 cnf(d0, plain, sbrdtbr0(slcrc0) = sz00 | ~aElementOf0(sz00,szNzAzT0), inference(superposition, [status(thm)], [c103,c111])). % 40.41/10.75 cnf(d1, plain, sbrdtbr0(slcrc0) = sz00, inference(resolution, [status(thm)], [c54,d0])). % 40.41/10.75 cnf(d2, plain, aElementOf0(slcrc0,slbdtsldtrb0(xO,xK)), inference(demodulation, [status(thm)], [c228,c229])). % 40.41/10.75 cnf(d3, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 40.41/10.75 cnf(d4, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | sbrdtbr0(X2) = X1 | ~aElementOf0(X2,slbdtsldtrb0(X0,X1)), inference(resolution, [status(thm)], [d3,c116])). % 40.41/10.75 cnf(d5, plain, sbrdtbr0(slcrc0) = xK | ~aSet0(xO) | ~aElementOf0(xK,szNzAzT0), inference(resolution, [status(thm)], [d4,d2])). % 40.41/10.75 cnf(d6, plain, sz00 = xK | ~aSet0(xO) | ~aElementOf0(xK,szNzAzT0), inference(demodulation, [status(thm)], [d5,d1])). % 40.41/10.75 cnf(d7, plain, sz00 = xK | ~aElementOf0(xK,szNzAzT0), inference(resolution, [status(thm)], [c220,d6])). % 40.41/10.75 cnf(d8, plain, sz00 = xK, inference(resolution, [status(thm)], [c174,d7])). % 40.41/10.75 cnf(d9, plain, sz00 != sz00, inference(demodulation, [status(thm)], [c184,d8])). % 40.41/10.75 cnf(d10, plain, sbrdtbr0(slcrc0) = sz00 | ~aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c75])). % 40.41/10.75 cnf(d11, plain, sz00 = sz00 | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d10,d1])). % 40.41/10.75 cnf(d12, plain, aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c1])). % 40.41/10.75 cnf(d13, plain, sz00 = sz00, inference(resolution, [status(thm)], [d12,d11])). % 40.41/10.75 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d9])). % 40.41/10.75 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------