%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM583+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 : n009.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 08:13:14 AM UTC 2026 % Result : Theorem 48.77s 11.52s % Output : CNFRefutation 48.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM583+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 % 0.18/0.65 % Computer : n009.cluster.edu % 0.18/0.65 % Model : x86_64 x86_64 % 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.65 % Memory : 8046.5625MB % 0.18/0.65 % OS : Linux 6.8.0-71-generic % 0.18/0.65 % CPULimit : 300 % 0.18/0.65 % WCLimit : 300 % 0.18/0.65 % DateTime : Sat Sep 26 03:20:00 UTC 2026 % 0.18/0.66 % CPUTime : % 0.18/0.66 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 48.77/11.52 % SZS status Theorem for theBenchmark.p % 48.77/11.52 % SZS output start CNFRefutation for theBenchmark.p % 48.77/11.52 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 48.77/11.52 fof(mDefCons, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtpldt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) | X3 = X1)))))))))). % 48.77/11.52 fof(mDefDiff, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtmndt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) & X3 != X1)))))))))). % 48.77/11.52 fof(mConsDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => sdtpldt0(sdtmndt0(X0,X1),X1) = X0))))). % 48.77/11.52 fof(mDiffCons, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aSet0(X1)) => (~aElementOf0(X0,X1) => sdtmndt0(sdtpldt0(X1,X0),X0) = X1)))). % 48.77/11.52 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 48.77/11.52 fof(m__3671, hypothesis, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aSet0(sdtlpdtrp0(xN,X0)) & (! [X1] : ((aElementOf0(X1,sdtlpdtrp0(xN,X0)) => aElementOf0(X1,szNzAzT0))) & (aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) & isCountable0(sdtlpdtrp0(xN,X0)))))))). % 48.77/11.52 fof(m__3989, hypothesis, aElementOf0(xi,szNzAzT0)). % 48.77/11.52 fof(m__3989_02, hypothesis, (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & (! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & (! [X0] : ((aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,sdtlpdtrp0(xN,xi)) & X0 != szmzizndt0(sdtlpdtrp0(xN,xi)))))) & (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))) & (aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & (sbrdtbr0(xQ) = xk & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))))))))). % 48.77/11.52 fof(m__4037, hypothesis, (! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => aElementOf0(X0,xS))) & aSubsetOf0(sdtlpdtrp0(xN,xi),xS))). % 48.77/11.52 fof(m__, conjecture, ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & ! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)))) => ((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) & ! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,xQ) | X0 = szmzizndt0(sdtlpdtrp0(xN,xi))))))) => (! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) => aElementOf0(X0,xS))) | aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))). % 48.77/11.52 fof(negated_conjecture, negated_conjecture, ~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & ! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)))) => ((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) & ! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,xQ) | X0 = szmzizndt0(sdtlpdtrp0(xN,xi))))))) => (! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) => aElementOf0(X0,xS))) | aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))), inference(negate_conjecture, [status(cth)], [m__])). % 48.77/11.52 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 48.77/11.52 cnf(c15, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtpldt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefCons])). % 48.77/11.52 cnf(c17, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefCons])). % 48.77/11.52 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 48.77/11.52 cnf(c36, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | X4 != X2, inference(clausification, [status(esa)], [mDefDiff])). % 48.77/11.52 cnf(c46, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | sdtpldt0(sdtmndt0(X0,X1),X1) = X0, inference(clausification, [status(esa)], [mConsDiff])). % 48.77/11.52 cnf(c47, plain, ~aElement0(X0) | ~aSet0(X1) | aElementOf0(X0,X1) | sdtmndt0(sdtpldt0(X1,X0),X0) = X1, inference(clausification, [status(esa)], [mDiffCons])). % 48.77/11.52 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 48.77/11.52 cnf(c244, plain, ~aElementOf0(X0,szNzAzT0) | aSet0(sdtlpdtrp0(xN,X0)), inference(clausification, [status(esa)], [m__3671])). % 48.77/11.52 cnf(c245, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,sdtlpdtrp0(xN,X0)) | aElementOf0(X1,szNzAzT0), inference(clausification, [status(esa)], [m__3671])). % 48.77/11.52 cnf(c256, plain, aElementOf0(xi,szNzAzT0), inference(clausification, [status(esa)], [m__3989])). % 48.77/11.52 cnf(c259, plain, aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(clausification, [status(esa)], [m__3989_02])). % 48.77/11.52 cnf(c261, plain, ~aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) | aElementOf0(X0,sdtlpdtrp0(xN,xi)), inference(clausification, [status(esa)], [m__3989_02])). % 48.77/11.52 cnf(c265, plain, ~aElementOf0(X0,xQ) | aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(clausification, [status(esa)], [m__3989_02])). % 48.77/11.52 cnf(c277, plain, ~aElementOf0(X0,sdtlpdtrp0(xN,xi)) | aElementOf0(X0,xS), inference(clausification, [status(esa)], [m__4037])). % 48.77/11.52 cnf(c279, plain, aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)), inference(clausification, [status(esa)], [negated_conjecture])). % 48.77/11.52 cnf(c281, plain, aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(clausification, [status(esa)], [negated_conjecture])). % 48.77/11.52 cnf(c283, plain, ~aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) | aElementOf0(X0,xQ) | X0 = szmzizndt0(sdtlpdtrp0(xN,xi)), inference(clausification, [status(esa)], [negated_conjecture])). % 48.77/11.52 cnf(c286, plain, aElementOf0(sK212,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(clausification, [status(esa)], [negated_conjecture])). % 48.77/11.52 cnf(c287, plain, ~aElementOf0(sK212,xS), inference(clausification, [status(esa)], [negated_conjecture])). % 48.77/11.52 cnf(d0, plain, sK212 = szmzizndt0(sdtlpdtrp0(xN,xi)) | aElementOf0(sK212,xQ), inference(resolution, [status(thm)], [c283,c286])). % 48.77/11.52 cnf(d1, plain, ~aElementOf0(X0,xQ) | aElementOf0(X0,sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [c265,c261])). % 48.77/11.52 cnf(d2, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts23'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 48.77/11.52 cnf(d3, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtpldt0(X0,X1)), inference(resolution, [status(thm)], [d2,c17])). % 48.77/11.52 cnf(d4, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 48.77/11.52 cnf(d5, plain, ~aElementOf0(X0,X1) | ~'Ts29'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c36])). % 48.77/11.52 cnf(d6, plain, ~aElementOf0(X0,sdtmndt0(X1,X0)) | ~aSet0(X1) | ~aElement0(X0), inference(resolution, [status(thm)], [d5,d4])). % 48.77/11.52 cnf(d7, plain, aElementOf0(X0,xS) | sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xi),X0),X0) = sdtlpdtrp0(xN,xi) | ~aSet0(sdtlpdtrp0(xN,xi)) | ~aElement0(X0), inference(resolution, [status(thm)], [c277,c47])). % 48.77/11.52 cnf(d8, plain, sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi))) = sdtlpdtrp0(xN,xi) | ~aSet0(sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [c46,c279])). % 48.77/11.52 cnf(d9, plain, ~aElementOf0(xi,szNzAzT0) | sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi))) = sdtlpdtrp0(xN,xi), inference(resolution, [status(thm)], [c244,d8])). % 48.77/11.52 cnf(d10, plain, sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi))) = sdtlpdtrp0(xN,xi), inference(resolution, [status(thm)], [c256,d9])). % 48.77/11.52 cnf(d11, plain, X0 != sdtlpdtrp0(xN,xi) | ~aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) | ~aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) | 'Ts23'(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi)),X0), inference(superposition, [status(thm)], [d10,c15])). % 48.77/11.52 cnf(d12, plain, aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0) | ~aElementOf0(xi,szNzAzT0), inference(resolution, [status(thm)], [c245,c279])). % 48.77/11.52 cnf(d13, plain, aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0), inference(resolution, [status(thm)], [c256,d12])). % 48.77/11.52 cnf(d14, plain, ~aSet0(szNzAzT0) | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))), inference(resolution, [status(thm)], [d13,c0])). % 48.77/11.52 cnf(d15, plain, aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))), inference(resolution, [status(thm)], [c52,d14])). % 48.77/11.52 cnf(d16, plain, X0 != sdtlpdtrp0(xN,xi) | ~aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) | 'Ts23'(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi)),X0), inference(resolution, [status(thm)], [d15,d11])). % 48.77/11.52 cnf(d17, plain, X0 != sdtlpdtrp0(xN,xi) | 'Ts23'(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi)),X0), inference(resolution, [status(thm)], [c259,d16])). % 48.77/11.52 cnf(d18, plain, 'Ts23'(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)), inference(equality_resolution, [status(thm)], [d17])). % 48.77/11.52 cnf(d19, plain, aSet0(sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [d18,c17])). % 48.77/11.52 cnf(d20, plain, sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xi),X0),X0) = sdtlpdtrp0(xN,xi) | aElementOf0(X0,xS) | ~aElement0(X0), inference(resolution, [status(thm)], [d19,d7])). % 48.77/11.52 cnf(d21, plain, sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xi),sK212),sK212) = sdtlpdtrp0(xN,xi) | ~aElement0(sK212), inference(resolution, [status(thm)], [d20,c287])). % 48.77/11.52 cnf(d22, plain, ~aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) | aElement0(sK212), inference(resolution, [status(thm)], [c286,c0])). % 48.77/11.52 cnf(d23, plain, aElement0(sK212), inference(resolution, [status(thm)], [c281,d22])). % 48.77/11.52 cnf(d24, plain, sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xi),sK212),sK212) = sdtlpdtrp0(xN,xi), inference(resolution, [status(thm)], [d23,d21])). % 48.77/11.52 cnf(d25, plain, ~aElementOf0(sK212,sdtlpdtrp0(xN,xi)) | ~aSet0(sdtpldt0(sdtlpdtrp0(xN,xi),sK212)) | ~aElement0(sK212), inference(superposition, [status(thm)], [d24,d6])). % 48.77/11.52 cnf(d26, plain, ~aSet0(sdtpldt0(sdtlpdtrp0(xN,xi),sK212)) | ~aElementOf0(sK212,sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [d23,d25])). % 48.77/11.52 cnf(d27, plain, ~aElementOf0(sK212,sdtlpdtrp0(xN,xi)) | ~aSet0(sdtlpdtrp0(xN,xi)) | ~aElement0(sK212), inference(resolution, [status(thm)], [d26,d3])). % 48.77/11.52 cnf(d28, plain, ~aSet0(sdtlpdtrp0(xN,xi)) | ~aElementOf0(sK212,sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [d23,d27])). % 48.77/11.52 cnf(d29, plain, ~aElementOf0(sK212,sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [d19,d28])). % 48.77/11.52 cnf(d30, plain, ~aElementOf0(sK212,xQ), inference(resolution, [status(thm)], [d29,d1])). % 48.77/11.52 cnf(d31, plain, sK212 = szmzizndt0(sdtlpdtrp0(xN,xi)), inference(resolution, [status(thm)], [d30,d0])). % 48.77/11.52 cnf(d32, plain, aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS), inference(resolution, [status(thm)], [c277,c279])). % 48.77/11.52 cnf(d33, plain, aElementOf0(sK212,xS), inference(demodulation, [status(thm)], [d32,d31])). % 48.77/11.52 cnf(d34, plain, $false, inference(resolution, [status(thm)], [c287,d33])). % 48.77/11.52 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------