%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM565+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 : n026.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 08:13:10 AM UTC 2026 % Result : Theorem 10.69s 10.44s % Output : CNFRefutation 10.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM565+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 % 0.09/0.36 % Computer : n026.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 03:17:54 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.69/10.44 % SZS status Theorem for theBenchmark.p % 10.69/10.44 % SZS output start CNFRefutation for theBenchmark.p % 10.69/10.44 fof(mDefEmp, definition, ! [X0] : ((X0 = slcrc0 <=> (aSet0(X0) & ~? [X1] : aElementOf0(X1,X0))))). % 10.69/10.44 fof(mEmpFin, axiom, isFinite0(slcrc0)). % 10.69/10.44 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 10.69/10.44 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 10.69/10.44 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 10.69/10.44 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 10.69/10.44 fof(mCardEmpty, axiom, ! [X0] : ((aSet0(X0) => (sbrdtbr0(X0) = sz00 <=> X0 = slcrc0)))). % 10.69/10.44 fof(mSegZero, axiom, slbdtrb0(sz00) = slcrc0). % 10.69/10.44 fof(mCardSeg, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sbrdtbr0(slbdtrb0(X0)) = X0))). % 10.69/10.44 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))))))))). % 10.69/10.44 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 10.69/10.44 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 10.69/10.44 fof(m__3462, hypothesis, xK = sz00). % 10.69/10.44 fof(m__, conjecture, ! [X0] : ((aElementOf0(X0,slbdtsldtrb0(xS,sz00)) => sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)))). % 10.69/10.44 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((aElementOf0(X0,slbdtsldtrb0(xS,sz00)) => sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0))), inference(negate_conjecture, [status(cth)], [m__])). % 10.69/10.44 cnf(c1, plain, X0 != slcrc0 | aSet0(X0), inference(clausification, [status(esa)], [mDefEmp])). % 10.69/10.44 cnf(c4, plain, isFinite0(slcrc0), inference(clausification, [status(esa)], [mEmpFin])). % 10.69/10.44 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 10.69/10.44 cnf(c45, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 10.69/10.44 cnf(c47, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 10.69/10.44 cnf(c66, plain, ~aSet0(X0) | aElementOf0(sbrdtbr0(X0),szNzAzT0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 10.69/10.44 cnf(c67, plain, ~aSet0(X0) | sbrdtbr0(X0) != sz00 | X0 = slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 10.69/10.44 cnf(c68, plain, ~aSet0(X0) | sbrdtbr0(X0) = sz00 | X0 != slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 10.69/10.44 cnf(c94, plain, slbdtrb0(sz00) = slcrc0, inference(clausification, [status(esa)], [mSegZero])). % 10.69/10.44 cnf(c102, plain, ~aElementOf0(X0,szNzAzT0) | sbrdtbr0(slbdtrb0(X0)) = X0, inference(clausification, [status(esa)], [mCardSeg])). % 10.69/10.44 cnf(c103, plain, ~aElementOf0(X0,szNzAzT0) | ~aSet0(X1) | X2(X1,X0), inference(clausification, [status(esa)], [mDefSel])). % 10.69/10.44 cnf(c108, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | aSubsetOf0(X4,X1), inference(clausification, [status(esa)], [mDefSel])). % 10.69/10.44 cnf(c109, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 10.69/10.44 cnf(c159, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 10.69/10.44 cnf(c163, plain, slbdtsldtrb0(xS,xK) = szDzozmdt0(xc), inference(clausification, [status(esa)], [m__3453])). % 10.69/10.44 cnf(c168, plain, xK = sz00, inference(clausification, [status(esa)], [m__3462])). % 10.69/10.44 cnf(c170, plain, aElementOf0(sK163,slbdtsldtrb0(xS,sz00)), inference(clausification, [status(esa)], [negated_conjecture])). % 10.69/10.44 cnf(c171, plain, sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK163), inference(clausification, [status(esa)], [negated_conjecture])). % 10.69/10.44 cnf(d0, plain, ~aSet0(X0) | 'Ts102'(X0,sz00), inference(resolution, [status(thm)], [c103,c47])). % 10.69/10.44 cnf(d1, plain, slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc), inference(demodulation, [status(thm)], [c163,c168])). % 10.69/10.44 cnf(d2, plain, aElementOf0(sK163,szDzozmdt0(xc)), inference(demodulation, [status(thm)], [c170,d1])). % 10.69/10.44 cnf(d3, plain, sbrdtbr0(X0) = X1 | ~aElementOf0(X0,slbdtsldtrb0(X2,X1)) | ~'Ts102'(X2,X1), inference(equality_resolution, [status(thm)], [c109])). % 10.69/10.44 cnf(d4, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | sbrdtbr0(X0) = sz00 | ~'Ts102'(xS,sz00), inference(superposition, [status(thm)], [d1,d3])). % 10.69/10.44 cnf(d5, plain, sbrdtbr0(sK163) = sz00 | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d4,d2])). % 10.69/10.44 cnf(d6, plain, sbrdtbr0(sK163) = sz00 | ~aSet0(xS), inference(resolution, [status(thm)], [d5,d0])). % 10.69/10.44 cnf(d7, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c159,c7])). % 10.69/10.44 cnf(d8, plain, aSet0(xS), inference(resolution, [status(thm)], [c45,d7])). % 10.69/10.44 cnf(d9, plain, sbrdtbr0(sK163) = sz00, inference(resolution, [status(thm)], [d8,d6])). % 10.69/10.44 cnf(d10, plain, sz00 != sz00 | sK163 = slcrc0 | ~aSet0(sK163), inference(superposition, [status(thm)], [d9,c67])). % 10.69/10.44 cnf(d11, plain, sbrdtbr0(slcrc0) = sz00 | ~aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c68])). % 10.69/10.44 cnf(d12, plain, aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c1])). % 10.69/10.44 cnf(d13, plain, sbrdtbr0(slcrc0) = sz00, inference(resolution, [status(thm)], [d12,d11])). % 10.69/10.44 cnf(d14, plain, sbrdtbr0(slbdtrb0(sbrdtbr0(X0))) = sbrdtbr0(X0) | ~aSet0(X0) | ~isFinite0(X0), inference(resolution, [status(thm)], [c102,c66])). % 10.69/10.44 cnf(d15, plain, sbrdtbr0(slbdtrb0(sbrdtbr0(slcrc0))) = sbrdtbr0(slcrc0) | ~aSet0(slcrc0), inference(resolution, [status(thm)], [d14,c4])). % 10.69/10.44 cnf(d16, plain, sbrdtbr0(slbdtrb0(sz00)) = sbrdtbr0(slcrc0) | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d15,d13])). % 10.69/10.44 cnf(d17, plain, sbrdtbr0(slcrc0) = sbrdtbr0(slcrc0) | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d16,c94])). % 10.69/10.44 cnf(d18, plain, sz00 = sbrdtbr0(slcrc0) | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d17,d13])). % 10.69/10.44 cnf(d19, plain, sz00 = sz00 | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d18,d13])). % 10.69/10.44 cnf(d20, plain, sz00 = sz00, inference(resolution, [status(thm)], [d12,d19])). % 10.69/10.44 cnf(d21, plain, sK163 = slcrc0 | ~aSet0(sK163), inference(resolution, [status(thm)], [d20,d10])). % 10.69/10.44 cnf(d22, plain, ~aElementOf0(X0,slbdtsldtrb0(X1,X2)) | aSubsetOf0(X0,X1) | ~'Ts102'(X1,X2), inference(equality_resolution, [status(thm)], [c108])). % 10.69/10.44 cnf(d23, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aSubsetOf0(X0,xS) | ~'Ts102'(xS,sz00), inference(superposition, [status(thm)], [d1,d22])). % 10.69/10.44 cnf(d24, plain, aSubsetOf0(sK163,xS) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d23,d2])). % 10.69/10.44 cnf(d25, plain, aSubsetOf0(sK163,xS) | ~aSet0(xS), inference(resolution, [status(thm)], [d24,d0])). % 10.69/10.44 cnf(d26, plain, aSubsetOf0(sK163,xS), inference(resolution, [status(thm)], [d8,d25])). % 10.69/10.44 cnf(d27, plain, aSet0(sK163) | ~aSet0(xS), inference(resolution, [status(thm)], [d26,c7])). % 10.69/10.44 cnf(d28, plain, aSet0(sK163), inference(resolution, [status(thm)], [d8,d27])). % 10.69/10.44 cnf(d29, plain, sK163 = slcrc0, inference(resolution, [status(thm)], [d28,d21])). % 10.69/10.44 cnf(d30, plain, sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0), inference(demodulation, [status(thm)], [c171,d29])). % 10.69/10.44 cnf(d31, plain, $false, inference(equality_resolution, [status(thm)], [d30])). % 10.69/10.44 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------