%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM611+3 : 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 : n011.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 08:13:19 AM UTC 2026 % Result : Theorem 71.89s 16.60s % Output : CNFRefutation 71.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM611+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.16/0.42 % Computer : n011.cluster.edu % 0.16/0.42 % Model : x86_64 x86_64 % 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.42 % Memory : 8046.5625MB % 0.16/0.42 % OS : Linux 6.8.0-71-generic % 0.16/0.42 % CPULimit : 300 % 0.16/0.42 % WCLimit : 300 % 0.16/0.42 % DateTime : Sat Sep 26 03:26:58 UTC 2026 % 0.16/0.42 % CPUTime : % 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 71.89/16.60 % SZS status Theorem for theBenchmark.p % 71.89/16.60 % SZS output start CNFRefutation for theBenchmark.p % 71.89/16.60 fof(mSubFSet, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aSubsetOf0(X1,X0) => isFinite0(X1)))))). % 71.89/16.60 fof(mSuccNum, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00)))). % 71.89/16.60 fof(mSuccEquSucc, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (szszuzczcdt0(X0) = szszuzczcdt0(X1) => X0 = X1)))). % 71.89/16.60 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 71.89/16.60 fof(mCardDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : (((isFinite0(X0) & aElementOf0(X1,X0)) => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)))))). % 71.89/16.60 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 71.89/16.60 fof(m__3533, hypothesis, (aElementOf0(xk,szNzAzT0) & szszuzczcdt0(xk) = xK)). % 71.89/16.60 fof(m__3821, hypothesis, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & (aElementOf0(X1,szNzAzT0) & X0 != X1)) => ~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & ! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)))) => ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) & ! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X1)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)))) | szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1)))))))). % 71.89/16.60 fof(m__5078, hypothesis, (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,xO))) & (aSubsetOf0(xQ,xO) & (sbrdtbr0(xQ) = xK & aElementOf0(xQ,slbdtsldtrb0(xO,xK))))))). % 71.89/16.60 fof(m__5147, hypothesis, (aElementOf0(xp,xQ) & (! [X0] : ((aElementOf0(X0,xQ) => sdtlseqdt0(xp,X0))) & xp = szmzizndt0(xQ)))). % 71.89/16.60 fof(m__5164, hypothesis, (aSet0(xP) & (! [X0] : ((aElementOf0(X0,xQ) => sdtlseqdt0(szmzizndt0(xQ),X0))) & (! [X0] : ((aElementOf0(X0,xP) <=> (aElement0(X0) & (aElementOf0(X0,xQ) & X0 != szmzizndt0(xQ))))) & xP = sdtmndt0(xQ,szmzizndt0(xQ)))))). % 71.89/16.60 fof(m__5195, hypothesis, (! [X0] : ((aElementOf0(X0,xP) => aElementOf0(X0,xQ))) & aSubsetOf0(xP,xQ))). % 71.89/16.60 fof(m__, conjecture, sbrdtbr0(xP) = xk). % 71.89/16.60 fof(negated_conjecture, negated_conjecture, sbrdtbr0(xP) != xk, inference(negate_conjecture, [status(cth)], [m__])). % 71.89/16.60 cnf(c11, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aSubsetOf0(X1,X0) | isFinite0(X1), inference(clausification, [status(esa)], [mSubFSet])). % 71.89/16.60 cnf(c55, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(szszuzczcdt0(X0),szNzAzT0), inference(clausification, [status(esa)], [mSuccNum])). % 71.89/16.60 cnf(c57, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | szszuzczcdt0(X0) != szszuzczcdt0(X1) | X0 = X1, inference(clausification, [status(esa)], [mSuccEquSucc])). % 71.89/16.60 cnf(c72, plain, ~aSet0(X0) | ~aElementOf0(sbrdtbr0(X0),szNzAzT0) | isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 71.89/16.60 cnf(c73, plain, ~aSet0(X0) | aElementOf0(sbrdtbr0(X0),szNzAzT0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 71.89/16.60 cnf(c77, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aElementOf0(X1,X0) | szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0), inference(clausification, [status(esa)], [mCardDiff])). % 71.89/16.60 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 71.89/16.60 cnf(c225, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__3533])). % 71.89/16.60 cnf(c226, plain, szszuzczcdt0(xk) = xK, inference(clausification, [status(esa)], [m__3533])). % 71.89/16.60 cnf(c250, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | X0 = X1 | X2(X0,X1), inference(clausification, [status(esa)], [m__3821])). % 71.89/16.60 cnf(c255, plain, ~X0(X1,X2) | szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)), inference(clausification, [status(esa)], [m__3821])). % 71.89/16.60 cnf(c412, plain, aSet0(xQ), inference(clausification, [status(esa)], [m__5078])). % 71.89/16.60 cnf(c415, plain, sbrdtbr0(xQ) = xK, inference(clausification, [status(esa)], [m__5078])). % 71.89/16.60 cnf(c427, plain, aElementOf0(xp,xQ), inference(clausification, [status(esa)], [m__5147])). % 71.89/16.60 cnf(c429, plain, xp = szmzizndt0(xQ), inference(clausification, [status(esa)], [m__5147])). % 71.89/16.60 cnf(c430, plain, aSet0(xP), inference(clausification, [status(esa)], [m__5164])). % 71.89/16.60 cnf(c436, plain, xP = sdtmndt0(xQ,szmzizndt0(xQ)), inference(clausification, [status(esa)], [m__5164])). % 71.89/16.60 cnf(c441, plain, aSubsetOf0(xP,xQ), inference(clausification, [status(esa)], [m__5195])). % 71.89/16.60 cnf(c444, plain, sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 71.89/16.60 cnf(d0, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xk,szNzAzT0), inference(superposition, [status(thm)], [c226,c57])). % 71.89/16.60 cnf(d1, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [c225,d0])). % 71.89/16.60 cnf(d2, plain, xP = sdtmndt0(xQ,xp), inference(demodulation, [status(thm)], [c436,c429])). % 71.89/16.60 cnf(d3, plain, szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) | ~aSet0(xQ) | ~aElementOf0(xp,xQ) | ~isFinite0(xQ), inference(superposition, [status(thm)], [d2,c77])). % 71.89/16.60 cnf(d4, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~aSet0(xQ) | ~aElementOf0(xp,xQ) | ~isFinite0(xQ), inference(demodulation, [status(thm)], [d3,c415])). % 71.89/16.60 cnf(d5, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~aElementOf0(xp,xQ) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c412,d4])). % 71.89/16.60 cnf(d6, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~isFinite0(xQ), inference(resolution, [status(thm)], [c427,d5])). % 71.89/16.60 cnf(d7, plain, ~aElementOf0(xK,szNzAzT0) | ~aSet0(xQ) | isFinite0(xQ), inference(superposition, [status(thm)], [c415,c72])). % 71.89/16.60 cnf(d8, plain, ~aElementOf0(xK,szNzAzT0) | isFinite0(xQ), inference(resolution, [status(thm)], [c412,d7])). % 71.89/16.60 cnf(d9, plain, isFinite0(xQ), inference(resolution, [status(thm)], [c174,d8])). % 71.89/16.60 cnf(d10, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK, inference(resolution, [status(thm)], [d9,d6])). % 71.89/16.60 cnf(d11, plain, xK != xK | xk = sbrdtbr0(xP) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(superposition, [status(thm)], [d10,d1])). % 71.89/16.60 cnf(d12, plain, xK = X0 | ~aElementOf0(X0,szNzAzT0) | 'Ts199'(xK,X0), inference(resolution, [status(thm)], [c250,c174])). % 71.89/16.60 cnf(d13, plain, xK = szszuzczcdt0(X0) | 'Ts199'(xK,szszuzczcdt0(X0)) | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [d12,c55])). % 71.89/16.60 cnf(d14, plain, 'Ts199'(xK,xK) | xK = szszuzczcdt0(xk) | ~aElementOf0(xk,szNzAzT0), inference(superposition, [status(thm)], [c226,d13])). % 71.89/16.60 cnf(d15, plain, xK = xK | ~aElementOf0(xk,szNzAzT0) | 'Ts199'(xK,xK), inference(demodulation, [status(thm)], [d14,c226])). % 71.89/16.60 cnf(d16, plain, xK = xK | 'Ts199'(xK,xK), inference(resolution, [status(thm)], [c225,d15])). % 71.89/16.60 cnf(d17, plain, ~'Ts199'(X0,X0), inference(equality_resolution, [status(thm)], [c255])). % 71.89/16.60 cnf(d18, plain, xK = xK, inference(resolution, [status(thm)], [d17,d16])). % 71.89/16.60 cnf(d19, plain, xk = sbrdtbr0(xP) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(resolution, [status(thm)], [d18,d11])). % 71.89/16.60 cnf(d20, plain, xk = sbrdtbr0(xP) | ~aSet0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [d19,c73])). % 71.89/16.60 cnf(d21, plain, xk = sbrdtbr0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [c430,d20])). % 71.89/16.60 cnf(d22, plain, ~aSet0(xQ) | isFinite0(xP) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c11,c441])). % 71.89/16.60 cnf(d23, plain, ~isFinite0(xQ) | isFinite0(xP), inference(resolution, [status(thm)], [c412,d22])). % 71.89/16.60 cnf(d24, plain, isFinite0(xP), inference(resolution, [status(thm)], [d9,d23])). % 71.89/16.60 cnf(d25, plain, xk = sbrdtbr0(xP), inference(resolution, [status(thm)], [d24,d21])). % 71.89/16.60 cnf(d26, plain, xk != xk, inference(demodulation, [status(thm)], [c444,d25])). % 71.89/16.60 cnf(d27, plain, $false, inference(equality_resolution, [status(thm)], [d26])). % 71.89/16.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------