%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM554+3 : 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 : n002.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 08:13:08 AM UTC 2026 % Result : Theorem 32.74s 5.31s % Output : CNFRefutation 32.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM554+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/0.37 % Computer : n002.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 26 03:15:54 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 32.74/5.31 % SZS status Theorem for theBenchmark.p % 32.74/5.31 % SZS output start CNFRefutation for theBenchmark.p % 32.74/5.31 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 32.74/5.31 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 32.74/5.31 fof(mSubFSet, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aSubsetOf0(X1,X0) => isFinite0(X1)))))). % 32.74/5.31 fof(mSubTrans, axiom, ! [X0] : ! [X1] : ! [X2] : (((aSet0(X0) & (aSet0(X1) & aSet0(X2))) => ((aSubsetOf0(X0,X1) & aSubsetOf0(X1,X2)) => aSubsetOf0(X0,X2))))). % 32.74/5.31 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)))))))))). % 32.74/5.31 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 32.74/5.31 fof(mCardCons, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aElement0(X1) => (~aElementOf0(X1,X0) => sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)))))))). % 32.74/5.31 fof(mCardDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : (((isFinite0(X0) & aElementOf0(X1,X0)) => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)))))). % 32.74/5.31 fof(mCardSeg, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sbrdtbr0(slbdtrb0(X0)) = X0))). % 32.74/5.31 fof(m__2202, hypothesis, aElementOf0(xk,szNzAzT0)). % 32.74/5.31 fof(m__2202_02, hypothesis, (aSet0(xS) & (aSet0(xT) & xk != sz00))). % 32.74/5.31 fof(m__2256, hypothesis, aElementOf0(xx,xS)). % 32.74/5.31 fof(m__2270, hypothesis, (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,xS))) & (aSubsetOf0(xQ,xS) & (sbrdtbr0(xQ) = xk & aElementOf0(xQ,slbdtsldtrb0(xS,xk))))))). % 32.74/5.31 fof(m__2291, hypothesis, (aSet0(xQ) & (isFinite0(xQ) & sbrdtbr0(xQ) = xk))). % 32.74/5.31 fof(m__2304, hypothesis, (aElement0(xy) & aElementOf0(xy,xQ))). % 32.74/5.31 fof(m__2323, hypothesis, ~aElementOf0(xx,xQ)). % 32.74/5.31 fof(m__2357, hypothesis, (aSet0(sdtmndt0(xQ,xy)) & (! [X0] : ((aElementOf0(X0,sdtmndt0(xQ,xy)) <=> (aElement0(X0) & (aElementOf0(X0,xQ) & X0 != xy)))) & (aSet0(xP) & (! [X0] : ((aElementOf0(X0,xP) <=> (aElement0(X0) & (aElementOf0(X0,sdtmndt0(xQ,xy)) | X0 = xx)))) & xP = sdtpldt0(sdtmndt0(xQ,xy),xx)))))). % 32.74/5.31 fof(m__, conjecture, (((! [X0] : ((aElementOf0(X0,xP) => aElementOf0(X0,xS))) | aSubsetOf0(xP,xS)) & sbrdtbr0(xP) = xk) | aElementOf0(xP,slbdtsldtrb0(xS,xk)))). % 32.74/5.31 fof(negated_conjecture, negated_conjecture, ~((((! [X0] : ((aElementOf0(X0,xP) => aElementOf0(X0,xS))) | aSubsetOf0(xP,xS)) & sbrdtbr0(xP) = xk) | aElementOf0(xP,slbdtsldtrb0(xS,xk)))), inference(negate_conjecture, [status(cth)], [m__])). % 32.74/5.31 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 32.74/5.31 cnf(c8, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aElementOf0(X2,X1) | aElementOf0(X2,X0), inference(clausification, [status(esa)], [mDefSub])). % 32.74/5.31 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | aElementOf0(sK10(X0,X1),X1) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 32.74/5.31 cnf(c10, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aElementOf0(sK10(X0,X1),X0) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 32.74/5.31 cnf(c11, plain, ~isFinite0(X0) | ~aSet0(X0) | ~aSubsetOf0(X1,X0) | isFinite0(X1), inference(clausification, [status(esa)], [mSubFSet])). % 32.74/5.31 cnf(c14, plain, ~aSubsetOf0(X0,X1) | ~aSet0(X1) | aSubsetOf0(X2,X1) | ~aSet0(X0) | ~aSet0(X2) | ~aSubsetOf0(X2,X0), inference(clausification, [status(esa)], [mSubTrans])). % 32.74/5.31 cnf(c15, plain, ~aElement0(X0) | ~aSet0(X1) | sdtpldt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefCons])). % 32.74/5.31 cnf(c21, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(X4,X1) | X2 = X4, inference(clausification, [status(esa)], [mDefCons])). % 32.74/5.31 cnf(c66, plain, ~aSet0(X0) | aElementOf0(sbrdtbr0(X0),szNzAzT0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 32.74/5.31 cnf(c69, plain, szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,X1)) | ~aSet0(X0) | ~isFinite0(X0) | ~aElement0(X1) | aElementOf0(X1,X0), inference(clausification, [status(esa)], [mCardCons])). % 32.74/5.31 cnf(c70, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | ~isFinite0(X0) | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))), inference(clausification, [status(esa)], [mCardDiff])). % 32.74/5.31 cnf(c102, plain, ~aElementOf0(X0,szNzAzT0) | sbrdtbr0(slbdtrb0(X0)) = X0, inference(clausification, [status(esa)], [mCardSeg])). % 32.74/5.31 cnf(c116, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__2202])). % 32.74/5.31 cnf(c117, plain, aSet0(xS), inference(clausification, [status(esa)], [m__2202_02])). % 32.74/5.31 cnf(c140, plain, aElementOf0(xx,xS), inference(clausification, [status(esa)], [m__2256])). % 32.74/5.31 cnf(c141, plain, aSet0(xQ), inference(clausification, [status(esa)], [m__2270])). % 32.74/5.31 cnf(c142, plain, aSubsetOf0(xQ,xS), inference(clausification, [status(esa)], [m__2270])). % 32.74/5.31 cnf(c144, plain, sbrdtbr0(xQ) = xk, inference(clausification, [status(esa)], [m__2270])). % 32.74/5.31 cnf(c148, plain, isFinite0(xQ), inference(clausification, [status(esa)], [m__2291])). % 32.74/5.31 cnf(c150, plain, aElementOf0(xy,xQ), inference(clausification, [status(esa)], [m__2304])). % 32.74/5.31 cnf(c151, plain, ~aElementOf0(xx,xQ), inference(clausification, [status(esa)], [m__2323])). % 32.74/5.31 cnf(c153, plain, aSet0(sdtmndt0(xQ,xy)), inference(clausification, [status(esa)], [m__2357])). % 32.74/5.31 cnf(c155, plain, sdtpldt0(sdtmndt0(xQ,xy),xx) = xP, inference(clausification, [status(esa)], [m__2357])). % 32.74/5.31 cnf(c162, plain, ~aElementOf0(X0,sdtmndt0(xQ,xy)) | aElementOf0(X0,xQ), inference(clausification, [status(esa)], [m__2357])). % 32.74/5.31 cnf(c164, plain, aElementOf0(sK125,xP) | sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 32.74/5.31 cnf(c165, plain, ~aElementOf0(sK125,xS) | sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 32.74/5.31 cnf(d0, plain, xP != X0 | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx) | 'Ts19'(sdtmndt0(xQ,xy),xx,X0), inference(superposition, [status(thm)], [c155,c15])). % 32.74/5.31 cnf(d1, plain, xP != X0 | ~aElement0(xx) | 'Ts19'(sdtmndt0(xQ,xy),xx,X0), inference(resolution, [status(thm)], [c153,d0])). % 32.74/5.31 cnf(d2, plain, ~aSet0(xS) | aElement0(xx), inference(resolution, [status(thm)], [c140,c0])). % 32.74/5.31 cnf(d3, plain, aElement0(xx), inference(resolution, [status(thm)], [c117,d2])). % 32.74/5.31 cnf(d4, plain, xP != X0 | 'Ts19'(sdtmndt0(xQ,xy),xx,X0), inference(resolution, [status(thm)], [d3,d1])). % 32.74/5.31 cnf(d5, plain, 'Ts19'(sdtmndt0(xQ,xy),xx,xP), inference(equality_resolution, [status(thm)], [d4])). % 32.74/5.31 cnf(d6, plain, xx = X0 | aElementOf0(X0,sdtmndt0(xQ,xy)) | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [d5,c21])). % 32.74/5.31 cnf(d7, plain, ~aSet0(X0) | ~aSet0(xS) | ~aSet0(xQ) | aSubsetOf0(X0,xS) | ~aSubsetOf0(X0,xQ), inference(resolution, [status(thm)], [c14,c142])). % 32.74/5.31 cnf(d8, plain, ~aSet0(X0) | ~aSet0(xQ) | aSubsetOf0(X0,xS) | ~aSubsetOf0(X0,xQ), inference(resolution, [status(thm)], [c117,d7])). % 32.74/5.31 cnf(d9, plain, ~aSet0(X0) | aSubsetOf0(X0,xS) | ~aSubsetOf0(X0,xQ), inference(resolution, [status(thm)], [c141,d8])). % 32.74/5.31 cnf(d10, plain, aElementOf0(sK10(X0,sdtmndt0(xQ,xy)),xQ) | ~aSet0(sdtmndt0(xQ,xy)) | ~aSet0(X0) | aSubsetOf0(sdtmndt0(xQ,xy),X0), inference(resolution, [status(thm)], [c162,c9])). % 32.74/5.31 cnf(d11, plain, ~aSet0(X0) | aElementOf0(sK10(X0,sdtmndt0(xQ,xy)),xQ) | aSubsetOf0(sdtmndt0(xQ,xy),X0), inference(resolution, [status(thm)], [c153,d10])). % 32.74/5.31 cnf(d12, plain, ~aSet0(xQ) | aSubsetOf0(sdtmndt0(xQ,xy),xQ) | ~aSet0(sdtmndt0(xQ,xy)) | ~aSet0(xQ) | aSubsetOf0(sdtmndt0(xQ,xy),xQ), inference(resolution, [status(thm)], [d11,c10])). % 32.74/5.31 cnf(d13, plain, ~aSet0(sdtmndt0(xQ,xy)) | aSubsetOf0(sdtmndt0(xQ,xy),xQ), inference(resolution, [status(thm)], [c141,d12])). % 32.74/5.31 cnf(d14, plain, aSubsetOf0(sdtmndt0(xQ,xy),xQ), inference(resolution, [status(thm)], [c153,d13])). % 32.74/5.31 cnf(d15, plain, ~aSet0(sdtmndt0(xQ,xy)) | aSubsetOf0(sdtmndt0(xQ,xy),xS), inference(resolution, [status(thm)], [d14,d9])). % 32.74/5.31 cnf(d16, plain, aSubsetOf0(sdtmndt0(xQ,xy),xS), inference(resolution, [status(thm)], [c153,d15])). % 32.74/5.31 cnf(d17, plain, ~aSet0(xS) | aElementOf0(X0,xS) | ~aElementOf0(X0,sdtmndt0(xQ,xy)), inference(resolution, [status(thm)], [d16,c8])). % 32.74/5.31 cnf(d18, plain, ~aElementOf0(X0,sdtmndt0(xQ,xy)) | aElementOf0(X0,xS), inference(resolution, [status(thm)], [c117,d17])). % 32.74/5.31 cnf(d19, plain, aElementOf0(X0,xS) | xx = X0 | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [d18,d6])). % 32.74/5.31 cnf(d20, plain, sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) | ~aSet0(xQ) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c70,c150])). % 32.74/5.31 cnf(d21, plain, xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) | ~aSet0(xQ) | ~isFinite0(xQ), inference(demodulation, [status(thm)], [d20,c144])). % 32.74/5.31 cnf(d22, plain, xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c141,d21])). % 32.74/5.31 cnf(d23, plain, xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))), inference(resolution, [status(thm)], [c148,d22])). % 32.74/5.31 cnf(d24, plain, szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(X0) | ~isFinite0(sdtmndt0(xQ,xy)) | aElementOf0(X0,xQ), inference(resolution, [status(thm)], [c69,c162])). % 32.74/5.31 cnf(d25, plain, xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) | ~aSet0(sdtmndt0(xQ,xy)) | aElementOf0(X0,xQ) | ~aElement0(X0) | ~isFinite0(sdtmndt0(xQ,xy)), inference(demodulation, [status(thm)], [d24,d23])). % 32.74/5.31 cnf(d26, plain, xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) | aElementOf0(X0,xQ) | ~aElement0(X0) | ~isFinite0(sdtmndt0(xQ,xy)), inference(resolution, [status(thm)], [c153,d25])). % 32.74/5.31 cnf(d27, plain, ~aSet0(xQ) | isFinite0(sdtmndt0(xQ,xy)) | ~isFinite0(xQ), inference(resolution, [status(thm)], [d14,c11])). % 32.74/5.31 cnf(d28, plain, isFinite0(sdtmndt0(xQ,xy)) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c141,d27])). % 32.74/5.31 cnf(d29, plain, isFinite0(sdtmndt0(xQ,xy)), inference(resolution, [status(thm)], [c148,d28])). % 32.74/5.31 cnf(d30, plain, xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) | aElementOf0(X0,xQ) | ~aElement0(X0), inference(resolution, [status(thm)], [d29,d26])). % 32.74/5.31 cnf(d31, plain, xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) | ~aElement0(xx), inference(resolution, [status(thm)], [d30,c151])). % 32.74/5.31 cnf(d32, plain, xk = sbrdtbr0(xP) | ~aElement0(xx), inference(demodulation, [status(thm)], [d31,c155])). % 32.74/5.31 cnf(d33, plain, xk = sbrdtbr0(xP), inference(resolution, [status(thm)], [d3,d32])). % 32.74/5.31 cnf(d34, plain, xk != xk | aElementOf0(sK125,xP), inference(demodulation, [status(thm)], [c164,d33])). % 32.74/5.31 cnf(d35, plain, sbrdtbr0(slbdtrb0(xk)) = xk, inference(resolution, [status(thm)], [c102,c116])). % 32.74/5.31 cnf(d36, plain, sbrdtbr0(slbdtrb0(sbrdtbr0(X0))) = sbrdtbr0(X0) | ~aSet0(X0) | ~isFinite0(X0), inference(resolution, [status(thm)], [c102,c66])). % 32.74/5.31 cnf(d37, plain, sbrdtbr0(slbdtrb0(sbrdtbr0(xQ))) = sbrdtbr0(xQ) | ~aSet0(xQ), inference(resolution, [status(thm)], [d36,c148])). % 32.74/5.31 cnf(d38, plain, sbrdtbr0(slbdtrb0(xk)) = sbrdtbr0(xQ) | ~aSet0(xQ), inference(demodulation, [status(thm)], [d37,c144])). % 32.74/5.31 cnf(d39, plain, xk = sbrdtbr0(xQ) | ~aSet0(xQ), inference(demodulation, [status(thm)], [d38,d35])). % 32.74/5.31 cnf(d40, plain, xk = xk | ~aSet0(xQ), inference(demodulation, [status(thm)], [d39,c144])). % 32.74/5.31 cnf(d41, plain, xk = xk, inference(resolution, [status(thm)], [c141,d40])). % 32.74/5.31 cnf(d42, plain, aElementOf0(sK125,xP), inference(resolution, [status(thm)], [d41,d34])). % 32.74/5.31 cnf(d43, plain, xx = sK125 | aElementOf0(sK125,xS), inference(resolution, [status(thm)], [d42,d19])). % 32.74/5.31 cnf(d44, plain, xk != xk | ~aElementOf0(sK125,xS), inference(demodulation, [status(thm)], [c165,d33])). % 32.74/5.31 cnf(d45, plain, ~aElementOf0(sK125,xS), inference(resolution, [status(thm)], [d41,d44])). % 32.74/5.31 cnf(d46, plain, xx = sK125, inference(resolution, [status(thm)], [d45,d43])). % 32.74/5.31 cnf(d47, plain, ~aElementOf0(xx,xS), inference(demodulation, [status(thm)], [d45,d46])). % 32.74/5.31 cnf(d48, plain, $false, inference(resolution, [status(thm)], [c140,d47])). % 32.74/5.31 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------