%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM616+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 : n003.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 08:13:20 AM UTC 2026 % Result : Theorem 185.36s 47.03s % Output : CNFRefutation 185.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM616+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 % 0.11/10.39 % Computer : n003.cluster.edu % 0.11/10.39 % Model : x86_64 x86_64 % 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/10.39 % Memory : 8046.5625MB % 0.11/10.39 % OS : Linux 6.8.0-71-generic % 0.11/10.39 % CPULimit : 300 % 0.11/10.39 % WCLimit : 300 % 0.11/10.39 % DateTime : Sat Sep 26 03:29:19 UTC 2026 % 0.11/10.39 % CPUTime : % 0.11/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 185.36/47.03 % SZS status Theorem for theBenchmark.p % 185.36/47.03 % SZS output start CNFRefutation for theBenchmark.p % 185.36/47.03 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 185.36/47.03 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)))))))))). % 185.36/47.03 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)))))))))). % 185.36/47.03 fof(mConsDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => sdtpldt0(sdtmndt0(X0,X1),X1) = X0))))). % 185.36/47.03 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 185.36/47.03 fof(mSuccNum, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00)))). % 185.36/47.03 fof(mLessASymm, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => ((sdtlseqdt0(X0,X1) & sdtlseqdt0(X1,X0)) => X0 = X1)))). % 185.36/47.03 fof(mLessTotal, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (sdtlseqdt0(X0,X1) | sdtlseqdt0(szszuzczcdt0(X1),X0))))). % 185.36/47.03 fof(m__3435, hypothesis, (aSet0(xS) & (! [X0] : ((aElementOf0(X0,xS) => aElementOf0(X0,szNzAzT0))) & (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))))). % 185.36/47.03 fof(m__3754, hypothesis, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (sdtlseqdt0(X1,X0) => (! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X0)) => aElementOf0(X2,sdtlpdtrp0(xN,X1)))) & aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))))))). % 185.36/47.03 fof(m__4411, hypothesis, ! [X0] : ((aElementOf0(X0,szNzAzT0) => ? [X1] : ((aElementOf0(X1,xT) & ? [X2] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & (! [X3] : ((aElementOf0(X3,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) & (! [X3] : ((aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) <=> (aElement0(X3) & (aElementOf0(X3,sdtlpdtrp0(xN,X0)) & X3 != szmzizndt0(sdtlpdtrp0(xN,X0)))))) & (aSet0(X2) & (! [X3] : ((aElementOf0(X3,X2) => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))) & (aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) & (isCountable0(X2) & ! [X3] : (((aSet0(X3) & (((! [X4] : ((aElementOf0(X4,X3) => aElementOf0(X4,X2))) | aSubsetOf0(X3,X2)) & sbrdtbr0(X3) = xk) | aElementOf0(X3,slbdtsldtrb0(X2,xk)))) => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1)))))))))))))))). % 185.36/47.03 fof(m__4660, hypothesis, (aFunction0(xe) & (szDzozmdt0(xe) = szNzAzT0 & ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) & (! [X1] : ((aElementOf0(X1,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1))) & sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))))))))). % 185.36/47.03 fof(m__4730, hypothesis, (aFunction0(xd) & (szDzozmdt0(xd) = szNzAzT0 & ! [X0] : ((aElementOf0(X0,szNzAzT0) => ! [X1] : (((aSet0(X1) & (((! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))))) | aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))) & sbrdtbr0(X1) = xk) | aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)))) => sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)))))))). % 185.36/47.03 fof(m__4854, hypothesis, (aElementOf0(szDzizrdt0(xd),xT) & (aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) & ! [X0] : ((aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) <=> (aElementOf0(X0,szDzozmdt0(xd)) & sdtlpdtrp0(xd,X0) = szDzizrdt0(xd))))))). % 185.36/47.03 fof(m__4982, hypothesis, ! [X0] : (((? [X1] : ((aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) & sdtlpdtrp0(xe,X1) = X0)) | aElementOf0(X0,xO)) => ? [X1] : ((aElementOf0(X1,szNzAzT0) & (sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) & (aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) & sdtlpdtrp0(xe,X1) = X0))))))). % 185.36/47.03 fof(m__4998, hypothesis, (! [X0] : ((aElementOf0(X0,xO) => aElementOf0(X0,xS))) & aSubsetOf0(xO,xS))). % 185.36/47.03 fof(m__5078, hypothesis, (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,xO))) & (aSubsetOf0(xQ,xO) & (sbrdtbr0(xQ) = xK & aElementOf0(xQ,slbdtsldtrb0(xO,xK))))))). % 185.36/47.03 fof(m__5106, hypothesis, (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,szNzAzT0))) & aSubsetOf0(xQ,szNzAzT0))). % 185.36/47.03 fof(m__5147, hypothesis, (aElementOf0(xp,xQ) & (! [X0] : ((aElementOf0(X0,xQ) => sdtlseqdt0(xp,X0))) & xp = szmzizndt0(xQ)))). % 185.36/47.03 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)))))). % 185.36/47.03 fof(m__5309, hypothesis, (aElementOf0(xn,szDzozmdt0(xd)) & (sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) & (aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) & (aElementOf0(xn,szNzAzT0) & sdtlpdtrp0(xe,xn) = xp))))). % 185.36/47.03 fof(m__, conjecture, (! [X0] : ((aElementOf0(X0,xP) => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))))) | aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))))). % 185.36/47.03 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((aElementOf0(X0,xP) => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))))) | aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))))), inference(negate_conjecture, [status(cth)], [m__])). % 185.36/47.03 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 185.36/47.03 cnf(c15, plain, ~aElement0(X0) | ~aSet0(X1) | sdtpldt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefCons])). % 185.36/47.03 cnf(c23, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | X2 != X4 | ~aElement0(X4), inference(clausification, [status(esa)], [mDefCons])). % 185.36/47.03 cnf(c27, plain, ~aElement0(X0) | ~aSet0(X1) | sdtmndt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefDiff])). % 185.36/47.03 cnf(c30, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefDiff])). % 185.36/47.03 cnf(c39, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | sdtpldt0(sdtmndt0(X0,X1),X1) = X0, inference(clausification, [status(esa)], [mConsDiff])). % 185.36/47.03 cnf(c45, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 185.36/47.03 cnf(c48, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(szszuzczcdt0(X0),szNzAzT0), inference(clausification, [status(esa)], [mSuccNum])). % 185.36/47.03 cnf(c60, plain, ~sdtlseqdt0(X0,X1) | X0 = X1 | ~sdtlseqdt0(X1,X0) | ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0), inference(clausification, [status(esa)], [mLessASymm])). % 185.36/47.03 cnf(c62, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | sdtlseqdt0(szszuzczcdt0(X0),X1) | sdtlseqdt0(X1,X0), inference(clausification, [status(esa)], [mLessTotal])). % 185.36/47.03 cnf(c162, plain, ~aElementOf0(X0,xS) | aElementOf0(X0,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 185.36/47.03 cnf(c232, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | ~sdtlseqdt0(X0,X1) | ~aElementOf0(X2,sdtlpdtrp0(xN,X1)) | aElementOf0(X2,sdtlpdtrp0(xN,X0)), inference(clausification, [status(esa)], [m__3754])). % 185.36/47.03 cnf(c332, plain, ~aElementOf0(X0,szNzAzT0) | X1(X0), inference(clausification, [status(esa)], [m__4411])). % 185.36/47.03 cnf(c348, plain, ~X0(X1) | ~aElementOf0(X2,sdtlpdtrp0(xN,X1)) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2), inference(clausification, [status(esa)], [m__4411])). % 185.36/47.03 cnf(c356, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)), inference(clausification, [status(esa)], [m__4660])). % 185.36/47.03 cnf(c357, plain, ~aElementOf0(X0,szNzAzT0) | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0), inference(clausification, [status(esa)], [m__4660])). % 185.36/47.03 cnf(c365, plain, szDzozmdt0(xd) = szNzAzT0, inference(clausification, [status(esa)], [m__4730])). % 185.36/47.03 cnf(c375, plain, aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) | szDzizrdt0(xd) != sdtlpdtrp0(xd,X0) | ~aElementOf0(X0,szDzozmdt0(xd)), inference(clausification, [status(esa)], [m__4854])). % 185.36/47.03 cnf(c376, plain, aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))), inference(clausification, [status(esa)], [m__4854])). % 185.36/47.03 cnf(c389, plain, ~aElementOf0(X0,xO) | X1(X0), inference(clausification, [status(esa)], [m__4982])). % 185.36/47.03 cnf(c390, plain, ~X0(X1) | aElementOf0(sK275(X1),szNzAzT0), inference(clausification, [status(esa)], [m__4982])). % 185.36/47.03 cnf(c392, plain, ~X0(X1) | sdtlpdtrp0(xe,sK275(X1)) = X1, inference(clausification, [status(esa)], [m__4982])). % 185.36/47.03 cnf(c393, plain, ~X0(X1) | szDzizrdt0(xd) = sdtlpdtrp0(xd,sK275(X1)), inference(clausification, [status(esa)], [m__4982])). % 185.36/47.03 cnf(c394, plain, ~aElementOf0(X0,xO) | aElementOf0(X0,xS), inference(clausification, [status(esa)], [m__4998])). % 185.36/47.03 cnf(c400, plain, ~aElementOf0(X0,xQ) | aElementOf0(X0,xO), inference(clausification, [status(esa)], [m__5078])). % 185.36/47.03 cnf(c404, plain, ~aElementOf0(X0,xQ) | aElementOf0(X0,szNzAzT0), inference(clausification, [status(esa)], [m__5106])). % 185.36/47.03 cnf(c409, plain, aElementOf0(xp,xQ), inference(clausification, [status(esa)], [m__5147])). % 185.36/47.03 cnf(c410, plain, szmzizndt0(xQ) = xp, inference(clausification, [status(esa)], [m__5147])). % 185.36/47.03 cnf(c411, plain, ~aElementOf0(X0,xQ) | sdtlseqdt0(xp,X0), inference(clausification, [status(esa)], [m__5147])). % 185.36/47.03 cnf(c414, plain, ~aElementOf0(X0,xP) | szmzizndt0(xQ) != X0, inference(clausification, [status(esa)], [m__5164])). % 185.36/47.03 cnf(c415, plain, ~aElementOf0(X0,xP) | aElementOf0(X0,xQ), inference(clausification, [status(esa)], [m__5164])). % 185.36/47.03 cnf(c430, plain, sdtlpdtrp0(xe,xn) = xp, inference(clausification, [status(esa)], [m__5309])). % 185.36/47.03 cnf(c431, plain, aElementOf0(xn,szNzAzT0), inference(clausification, [status(esa)], [m__5309])). % 185.36/47.03 cnf(c434, plain, aElementOf0(sK288,xP), inference(clausification, [status(esa)], [negated_conjecture])). % 185.36/47.03 cnf(c435, plain, ~aElementOf0(sK288,sdtlpdtrp0(xN,szszuzczcdt0(xn))), inference(clausification, [status(esa)], [negated_conjecture])). % 185.36/47.03 cnf(d0, plain, aElementOf0(sK288,xQ), inference(resolution, [status(thm)], [c415,c434])). % 185.36/47.03 cnf(d1, plain, sdtlseqdt0(xp,sK288), inference(resolution, [status(thm)], [d0,c411])). % 185.36/47.03 cnf(d2, plain, xp = sK288 | ~aElementOf0(sK288,szNzAzT0) | ~aElementOf0(xp,szNzAzT0) | ~sdtlseqdt0(sK288,xp), inference(resolution, [status(thm)], [d1,c60])). % 185.36/47.03 cnf(d3, plain, aElementOf0(xp,xO), inference(resolution, [status(thm)], [c400,c409])). % 185.36/47.03 cnf(d4, plain, aElementOf0(xp,xS), inference(resolution, [status(thm)], [d3,c394])). % 185.36/47.03 cnf(d5, plain, aElementOf0(xp,szNzAzT0), inference(resolution, [status(thm)], [d4,c162])). % 185.36/47.03 cnf(d6, plain, xp = sK288 | ~aElementOf0(sK288,szNzAzT0) | ~sdtlseqdt0(sK288,xp), inference(resolution, [status(thm)], [d5,d2])). % 185.36/47.03 cnf(d7, plain, aElementOf0(sK288,szNzAzT0), inference(resolution, [status(thm)], [d0,c404])). % 185.36/47.03 cnf(d8, plain, xp = sK288 | ~sdtlseqdt0(sK288,xp), inference(resolution, [status(thm)], [d7,d6])). % 185.36/47.03 cnf(d9, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0) | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X1)) | ~sdtlseqdt0(X1,X0), inference(resolution, [status(thm)], [c356,c232])). % 185.36/47.03 cnf(d10, plain, aElementOf0(sK288,xO), inference(resolution, [status(thm)], [d0,c400])). % 185.36/47.03 cnf(d11, plain, 'Ts272'(sK288), inference(resolution, [status(thm)], [d10,c389])). % 185.36/47.03 cnf(d12, plain, sdtlpdtrp0(xe,sK275(sK288)) = sK288, inference(resolution, [status(thm)], [c392,d11])). % 185.36/47.03 cnf(d13, plain, szmzizndt0(sdtlpdtrp0(xN,sK275(X0))) = sdtlpdtrp0(xe,sK275(X0)) | ~'Ts272'(X0), inference(resolution, [status(thm)], [c357,c390])). % 185.36/47.03 cnf(d14, plain, szmzizndt0(sdtlpdtrp0(xN,sK275(sK288))) = sdtlpdtrp0(xe,sK275(sK288)), inference(resolution, [status(thm)], [d13,d11])). % 185.36/47.03 cnf(d15, plain, szmzizndt0(sdtlpdtrp0(xN,sK275(sK288))) = sK288, inference(demodulation, [status(thm)], [d14,d12])). % 185.36/47.03 cnf(d16, plain, sdtlseqdt0(sK288,X0) | ~aElementOf0(X0,sdtlpdtrp0(xN,sK275(sK288))) | ~'Ts244'(sK275(sK288)), inference(superposition, [status(thm)], [d15,c348])). % 185.36/47.03 cnf(d17, plain, aElementOf0(X0,X1) | ~aElement0(X0) | ~'Ts19'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c23])). % 185.36/47.03 cnf(d18, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts19'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 185.36/47.03 cnf(d19, plain, ~'Ts272'(X0) | sdtpldt0(sdtmndt0(szNzAzT0,sK275(X0)),sK275(X0)) = szNzAzT0 | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c390,c39])). % 185.36/47.03 cnf(d20, plain, sdtpldt0(sdtmndt0(szNzAzT0,sK275(X0)),sK275(X0)) = szNzAzT0 | ~'Ts272'(X0), inference(resolution, [status(thm)], [c45,d19])). % 185.36/47.03 cnf(d21, plain, sdtpldt0(sdtmndt0(szNzAzT0,sK275(sK288)),sK275(sK288)) = szNzAzT0, inference(resolution, [status(thm)], [d20,d11])). % 185.36/47.03 cnf(d22, plain, 'Ts19'(sdtmndt0(szNzAzT0,sK275(sK288)),sK275(sK288),szNzAzT0) | ~aSet0(sdtmndt0(szNzAzT0,sK275(sK288))) | ~aElement0(sK275(sK288)), inference(superposition, [status(thm)], [d21,d18])). % 185.36/47.03 cnf(d23, plain, szDzizrdt0(xd) != sdtlpdtrp0(xd,X0) | ~aElementOf0(X0,szNzAzT0) | aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))), inference(demodulation, [status(thm)], [c375,c365])). % 185.36/47.03 cnf(d24, plain, szDzizrdt0(xd) = sdtlpdtrp0(xd,sK275(sK288)), inference(resolution, [status(thm)], [c393,d11])). % 185.36/47.03 cnf(d25, plain, szDzizrdt0(xd) != szDzizrdt0(xd) | ~aElementOf0(sK275(sK288),szNzAzT0) | aElementOf0(sK275(sK288),sdtlbdtrb0(xd,szDzizrdt0(xd))), inference(superposition, [status(thm)], [d24,d23])). % 185.36/47.03 cnf(d26, plain, ~aElementOf0(sK275(sK288),szNzAzT0) | aElementOf0(sK275(sK288),sdtlbdtrb0(xd,szDzizrdt0(xd))), inference(equality_resolution, [status(thm)], [d25])). % 185.36/47.03 cnf(d27, plain, ~aElementOf0(sK275(sK288),szNzAzT0) | ~aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) | aElement0(sK275(sK288)), inference(resolution, [status(thm)], [d26,c0])). % 185.36/47.03 cnf(d28, plain, ~aElementOf0(sK275(sK288),szNzAzT0) | aElement0(sK275(sK288)), inference(resolution, [status(thm)], [c376,d27])). % 185.36/47.03 cnf(d29, plain, aElement0(sK275(sK288)) | ~'Ts272'(sK288), inference(resolution, [status(thm)], [d28,c390])). % 185.36/47.03 cnf(d30, plain, aElement0(sK275(sK288)), inference(resolution, [status(thm)], [d11,d29])). % 185.36/47.03 cnf(d31, plain, ~aSet0(sdtmndt0(szNzAzT0,sK275(sK288))) | 'Ts19'(sdtmndt0(szNzAzT0,sK275(sK288)),sK275(sK288),szNzAzT0), inference(resolution, [status(thm)], [d30,d22])). % 185.36/47.03 cnf(d32, plain, ~aSet0(sdtmndt0(szNzAzT0,sK275(sK288))) | aElementOf0(sK275(sK288),szNzAzT0) | ~aElement0(sK275(sK288)), inference(resolution, [status(thm)], [d31,d17])). % 185.36/47.03 cnf(d33, plain, ~aSet0(sdtmndt0(szNzAzT0,sK275(sK288))) | aElementOf0(sK275(sK288),szNzAzT0), inference(resolution, [status(thm)], [d30,d32])). % 185.36/47.03 cnf(d34, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts26'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c27])). % 185.36/47.03 cnf(d35, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d34,c30])). % 185.36/47.03 cnf(d36, plain, ~aSet0(szNzAzT0) | ~aElement0(sK275(sK288)) | aElementOf0(sK275(sK288),szNzAzT0), inference(resolution, [status(thm)], [d35,d33])). % 185.36/47.03 cnf(d37, plain, aElementOf0(sK275(sK288),szNzAzT0) | ~aElement0(sK275(sK288)), inference(resolution, [status(thm)], [c45,d36])). % 185.36/47.03 cnf(d38, plain, aElementOf0(sK275(sK288),szNzAzT0), inference(resolution, [status(thm)], [d30,d37])). % 185.36/47.03 cnf(d39, plain, 'Ts244'(sK275(sK288)), inference(resolution, [status(thm)], [d38,c332])). % 185.36/47.03 cnf(d40, plain, ~aElementOf0(X0,sdtlpdtrp0(xN,sK275(sK288))) | sdtlseqdt0(sK288,X0), inference(resolution, [status(thm)], [d39,d16])). % 185.36/47.03 cnf(d41, plain, sdtlseqdt0(sK288,sdtlpdtrp0(xe,X0)) | ~aElementOf0(sK275(sK288),szNzAzT0) | ~aElementOf0(X0,szNzAzT0) | ~sdtlseqdt0(sK275(sK288),X0), inference(resolution, [status(thm)], [d40,d9])). % 185.36/47.03 cnf(d42, plain, ~aElementOf0(X0,szNzAzT0) | ~sdtlseqdt0(sK275(sK288),X0) | sdtlseqdt0(sK288,sdtlpdtrp0(xe,X0)), inference(resolution, [status(thm)], [d38,d41])). % 185.36/47.03 cnf(d43, plain, sdtlseqdt0(sK288,xp) | ~aElementOf0(xn,szNzAzT0) | ~sdtlseqdt0(sK275(sK288),xn), inference(superposition, [status(thm)], [c430,d42])). % 185.36/47.03 cnf(d44, plain, ~sdtlseqdt0(sK275(sK288),xn) | sdtlseqdt0(sK288,xp), inference(resolution, [status(thm)], [c431,d43])). % 185.36/47.03 cnf(d45, plain, aElementOf0(sK288,sdtlpdtrp0(xN,sK275(sK288))) | ~aElementOf0(sK275(sK288),szNzAzT0), inference(superposition, [status(thm)], [d12,c356])). % 185.36/47.03 cnf(d46, plain, ~aElementOf0(sK275(sK288),szNzAzT0) | ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(sK275(sK288),szNzAzT0) | aElementOf0(sK288,sdtlpdtrp0(xN,X0)) | ~sdtlseqdt0(X0,sK275(sK288)), inference(resolution, [status(thm)], [d45,c232])). % 185.36/47.03 cnf(d47, plain, ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | ~aElementOf0(sK275(sK288),szNzAzT0) | ~sdtlseqdt0(szszuzczcdt0(xn),sK275(sK288)), inference(resolution, [status(thm)], [d46,c435])). % 185.36/47.03 cnf(d48, plain, ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | ~aElementOf0(sK275(sK288),szNzAzT0) | ~aElementOf0(sK275(sK288),szNzAzT0) | ~aElementOf0(xn,szNzAzT0) | sdtlseqdt0(sK275(sK288),xn), inference(resolution, [status(thm)], [d47,c62])). % 185.36/47.03 cnf(d49, plain, ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | ~aElementOf0(sK275(sK288),szNzAzT0) | sdtlseqdt0(sK275(sK288),xn), inference(resolution, [status(thm)], [c431,d48])). % 185.36/47.03 cnf(d50, plain, ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | sdtlseqdt0(sK275(sK288),xn) | ~'Ts272'(sK288), inference(resolution, [status(thm)], [d49,c390])). % 185.36/47.03 cnf(d51, plain, ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | sdtlseqdt0(sK275(sK288),xn), inference(resolution, [status(thm)], [d11,d50])). % 185.36/47.03 cnf(d52, plain, sdtlseqdt0(sK275(sK288),xn) | ~aElementOf0(xn,szNzAzT0), inference(resolution, [status(thm)], [d51,c48])). % 185.36/47.03 cnf(d53, plain, sdtlseqdt0(sK275(sK288),xn), inference(resolution, [status(thm)], [c431,d52])). % 185.36/47.03 cnf(d54, plain, sdtlseqdt0(sK288,xp), inference(resolution, [status(thm)], [d53,d44])). % 185.36/47.03 cnf(d55, plain, xp = sK288, inference(resolution, [status(thm)], [d54,d8])). % 185.36/47.03 cnf(d56, plain, aElementOf0(xp,xP), inference(demodulation, [status(thm)], [c434,d55])). % 185.36/47.03 cnf(d57, plain, xp != X0 | ~aElementOf0(X0,xP), inference(demodulation, [status(thm)], [c414,c410])). % 185.36/47.03 cnf(d58, plain, ~aElementOf0(xp,xP), inference(equality_resolution, [status(thm)], [d57])). % 185.36/47.03 cnf(d59, plain, $false, inference(resolution, [status(thm)], [d58,d56])). % 185.36/47.03 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------