TSTP Solution File: NUM629+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:35:25 EDT 2024
% Result : Theorem 158.97s 20.31s
% Output : CNFRefutation 159.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n004.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon Apr 29 20:32:48 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 158.97/20.31 % Refutation found
% 158.97/20.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 158.97/20.31 % SZS output start CNFRefutation for theBenchmark
% 158.97/20.31 fof(f10,definition,(
% 158.97/20.31 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f81,hypothesis,(
% 158.97/20.31 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ) ))| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,W0))& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f82,hypothesis,(
% 158.97/20.31 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f89,hypothesis,(
% 158.97/20.31 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (? [W1] :( aElementOf0(W1,xT)& (? [W2] :( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W3] :( aElementOf0(W3,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W3] :( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W3)& aElementOf0(W3,sdtlpdtrp0(xN,W0))& W3 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(W2)& (! [W3] :( ( aSet0(W3)& ( ( ( (! [W4] :( aElementOf0(W4,W3)=> aElementOf0(W4,W2) ))| aSubsetOf0(W3,W2) )& sbrdtbr0(W3) = xk )| aElementOf0(W3,slbdtsldtrb0(W2,xk)) ) )=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) )) )) )) )),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f91,hypothesis,(
% 158.97/20.31 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) ))& sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )) ),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f92,hypothesis,(
% 158.97/20.31 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& ( ( ( (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ))| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )& sbrdtbr0(W1) = xk )| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f93,hypothesis,(
% 158.97/20.31 ( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))<=> (? [W1] :( aElementOf0(W1,szDzozmdt0(xd))& sdtlpdtrp0(xd,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))=> aElementOf0(W0,xT) ))& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ) ),
% 158.97/20.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.31 fof(f94,hypothesis,(
% 158.97/20.31 ( aElementOf0(szDzizrdt0(xd),xT)& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=> ( aElementOf0(W0,szDzozmdt0(xd))& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) )) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f97,hypothesis,(
% 158.97/20.32 (! [W0] :( ( (? [W1] :( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ))| aElementOf0(W0,xO) )=> (? [W1] :( aElementOf0(W1,szNzAzT0)& sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )) )),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f106,hypothesis,(
% 158.97/20.32 (? [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W0) = xp ) )),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f108,hypothesis,(
% 158.97/20.32 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xO) ))& aSubsetOf0(xP,xO) ) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f111,hypothesis,(
% 158.97/20.32 ( aElementOf0(xn,szDzozmdt0(xd))& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))& aElementOf0(xn,szNzAzT0)& sdtlpdtrp0(xe,xn) = xp ) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f113,hypothesis,(
% 158.97/20.32 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ))& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f114,hypothesis,(
% 158.97/20.32 ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xn))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0) ))& aSet0(xD)& (! [W0] :( aElementOf0(W0,xD)<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xn))& W0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ))& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f115,conjecture,(
% 158.97/20.32 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xD) ))| aSubsetOf0(xP,xD)| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ) ),
% 158.97/20.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 158.97/20.32 fof(f116,negated_conjecture,(
% 158.97/20.32 ~(( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xD) ))| aSubsetOf0(xP,xD)| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ) )),
% 158.97/20.32 inference(negated_conjecture,[status(cth)],[f115])).
% 158.97/20.32 fof(f141,plain,(
% 158.97/20.32 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 158.97/20.32 fof(f142,plain,(
% 158.97/20.32 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 158.97/20.32 inference(NNF_transformation,[status(esa)],[f141])).
% 158.97/20.32 fof(f143,plain,(
% 158.97/20.32 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 158.97/20.32 inference(miniscoping,[status(esa)],[f142])).
% 158.97/20.32 fof(f144,plain,(
% 158.97/20.32 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 158.97/20.32 inference(skolemization,[status(esa)],[f143])).
% 158.97/20.32 fof(f146,plain,(
% 158.97/20.32 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f144])).
% 158.97/20.32 fof(f413,plain,(
% 158.97/20.32 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0)))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 158.97/20.32 fof(f414,plain,(
% 158.97/20.32 ![W0]: (pd0_4(W0)=>(((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 158.97/20.32 introduced(predicate_definition,[f413])).
% 158.97/20.32 fof(f415,plain,(
% 158.97/20.32 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 158.97/20.32 inference(formula_renaming,[status(thm)],[f413,f414])).
% 158.97/20.32 fof(f416,plain,(
% 158.97/20.32 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: ((~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 158.97/20.32 inference(NNF_transformation,[status(esa)],[f415])).
% 158.97/20.32 fof(f417,plain,(
% 158.97/20.32 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 158.97/20.32 inference(miniscoping,[status(esa)],[f416])).
% 158.97/20.32 fof(f430,plain,(
% 158.97/20.32 ![X0]: (~aElementOf0(X0,szNzAzT0)|pd0_4(X0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f417])).
% 158.97/20.32 fof(f432,plain,(
% 158.97/20.32 ![W0]: (~aElementOf0(W0,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 158.97/20.32 fof(f435,plain,(
% 158.97/20.32 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f432])).
% 158.97/20.32 fof(f436,plain,(
% 158.97/20.32 ![X0]: (~aElementOf0(X0,szNzAzT0)|isCountable0(sdtlpdtrp0(xN,X0)))),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f432])).
% 158.97/20.32 fof(f521,plain,(
% 158.97/20.32 ![W0]: (~aElementOf0(W0,szNzAzT0)|(?[W1]: (aElementOf0(W1,xT)&(?[W2]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(W2))&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W2))&(![W3]: ((~aSet0(W3)|((((?[W4]: (aElementOf0(W4,W3)&~aElementOf0(W4,W2)))&~aSubsetOf0(W3,W2))|~sbrdtbr0(W3)=xk)&~aElementOf0(W3,slbdtsldtrb0(W2,xk))))|sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3)=W1)))))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 158.97/20.32 fof(f522,plain,(
% 158.97/20.32 ![W0]: (~aElementOf0(W0,szNzAzT0)|(?[W1]: (aElementOf0(W1,xT)&(?[W2]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W3]: ((~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,W0)))|W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(W2))&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W2))&(![W3]: ((~aSet0(W3)|((((?[W4]: (aElementOf0(W4,W3)&~aElementOf0(W4,W2)))&~aSubsetOf0(W3,W2))|~sbrdtbr0(W3)=xk)&~aElementOf0(W3,slbdtsldtrb0(W2,xk))))|sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3)=W1)))))))),
% 158.97/20.32 inference(NNF_transformation,[status(esa)],[f521])).
% 158.97/20.32 fof(f523,plain,(
% 158.97/20.32 ![W0]: (~aElementOf0(W0,szNzAzT0)|(?[W1]: (aElementOf0(W1,xT)&(?[W2]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W3]: (~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,W0)))|W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(W2))&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W2))&(![W3]: ((~aSet0(W3)|((((?[W4]: (aElementOf0(W4,W3)&~aElementOf0(W4,W2)))&~aSubsetOf0(W3,W2))|~sbrdtbr0(W3)=xk)&~aElementOf0(W3,slbdtsldtrb0(W2,xk))))|sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3)=W1)))))))),
% 158.97/20.32 inference(miniscoping,[status(esa)],[f522])).
% 158.97/20.32 fof(f524,plain,(
% 158.97/20.32 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(sk0_27(W0),xT)&((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W3]: (~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,W0)))|W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sk0_28(W0)))&(![W3]: (~aElementOf0(W3,sk0_28(W0))|aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sk0_28(W0),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sk0_28(W0)))&(![W3]: ((~aSet0(W3)|((((aElementOf0(sk0_29(W3,W0),W3)&~aElementOf0(sk0_29(W3,W0),sk0_28(W0)))&~aSubsetOf0(W3,sk0_28(W0)))|~sbrdtbr0(W3)=xk)&~aElementOf0(W3,slbdtsldtrb0(sk0_28(W0),xk))))|sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3)=sk0_27(W0))))))),
% 158.97/20.32 inference(skolemization,[status(esa)],[f523])).
% 158.97/20.32 fof(f536,plain,(
% 158.97/20.32 ![X0]: (~aElementOf0(X0,szNzAzT0)|isCountable0(sk0_28(X0)))),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f524])).
% 158.97/20.32 fof(f548,plain,(
% 158.97/20.32 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(sdtlpdtrp0(xe,W0),W1))))&sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0)))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 158.97/20.32 fof(f550,plain,(
% 158.97/20.32 szDzozmdt0(xe)=szNzAzT0),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f548])).
% 158.97/20.32 fof(f554,plain,(
% 158.97/20.32 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))))&~aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 158.97/20.32 fof(f555,plain,(
% 158.97/20.32 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|((((aElementOf0(sk0_32(W1,W0),W1)&~aElementOf0(sk0_32(W1,W0),sdtlpdtrp0(xN,szszuzczcdt0(W0))))&~aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 158.97/20.32 inference(skolemization,[status(esa)],[f554])).
% 158.97/20.32 fof(f557,plain,(
% 158.97/20.32 szDzozmdt0(xd)=szNzAzT0),
% 158.97/20.32 inference(cnf_transformation,[status(esa)],[f555])).
% 158.97/20.32 fof(f562,plain,(
% 158.97/20.32 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))<=>(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0)))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 158.97/20.32 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 158.97/20.32 fof(f563,plain,(
% 158.97/20.32 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&(![W0]: ((~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0)))&(aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 159.37/20.32 inference(NNF_transformation,[status(esa)],[f562])).
% 159.37/20.32 fof(f564,plain,(
% 159.37/20.32 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 159.37/20.32 inference(miniscoping,[status(esa)],[f563])).
% 159.37/20.32 fof(f565,plain,(
% 159.37/20.32 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(aElementOf0(sk0_33(W0),szDzozmdt0(xd))&sdtlpdtrp0(xd,sk0_33(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 159.37/20.32 inference(skolemization,[status(esa)],[f564])).
% 159.37/20.32 fof(f566,plain,(
% 159.37/20.32 aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f565])).
% 159.37/20.32 fof(f572,plain,(
% 159.37/20.32 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&(![W0]: ((~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))&(aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 159.37/20.32 inference(NNF_transformation,[status(esa)],[f94])).
% 159.37/20.32 fof(f573,plain,(
% 159.37/20.32 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 159.37/20.32 inference(miniscoping,[status(esa)],[f572])).
% 159.37/20.32 fof(f575,plain,(
% 159.37/20.32 aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f573])).
% 159.37/20.32 fof(f576,plain,(
% 159.37/20.32 ![X0]: (~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|aElementOf0(X0,szDzozmdt0(xd)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f573])).
% 159.37/20.32 fof(f593,plain,(
% 159.37/20.32 ![W0]: (((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO))|(?[W1]: (((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 159.37/20.32 fof(f594,plain,(
% 159.37/20.32 ![W0]: (pd0_9(W0)=>((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO)))),
% 159.37/20.32 introduced(predicate_definition,[f593])).
% 159.37/20.32 fof(f639,plain,(
% 159.37/20.32 (aElementOf0(sk0_37,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sk0_37)=xp)),
% 159.37/20.32 inference(skolemization,[status(esa)],[f106])).
% 159.37/20.32 fof(f640,plain,(
% 159.37/20.32 aElementOf0(sk0_37,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f639])).
% 159.37/20.32 fof(f645,plain,(
% 159.37/20.32 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,xO)))&aSubsetOf0(xP,xO)),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f108])).
% 159.37/20.32 fof(f646,plain,(
% 159.37/20.32 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xO))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f645])).
% 159.37/20.32 fof(f653,plain,(
% 159.37/20.32 aElementOf0(xn,szNzAzT0)),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f111])).
% 159.37/20.32 fof(f656,plain,(
% 159.37/20.32 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 159.37/20.32 fof(f657,plain,(
% 159.37/20.32 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f656])).
% 159.37/20.32 fof(f659,plain,(
% 159.37/20.32 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&(![W0]: (aElementOf0(W0,xD)<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 159.37/20.32 fof(f660,plain,(
% 159.37/20.32 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&(![W0]: ((~aElementOf0(W0,xD)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn))))&(aElementOf0(W0,xD)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xn)))|W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 159.37/20.32 inference(NNF_transformation,[status(esa)],[f659])).
% 159.37/20.32 fof(f661,plain,(
% 159.37/20.32 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&((![W0]: (~aElementOf0(W0,xD)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))&(![W0]: (aElementOf0(W0,xD)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xn)))|W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 159.37/20.32 inference(miniscoping,[status(esa)],[f660])).
% 159.37/20.32 fof(f663,plain,(
% 159.37/20.32 aSet0(xD)),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f661])).
% 159.37/20.32 fof(f668,plain,(
% 159.37/20.32 xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f661])).
% 159.37/20.32 fof(f669,plain,(
% 159.37/20.32 (((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xD)))&~aSubsetOf0(xP,xD))&~aElementOf0(xP,slbdtsldtrb0(xD,xk)))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 159.37/20.32 fof(f670,plain,(
% 159.37/20.32 ((aElementOf0(sk0_38,xP)&~aElementOf0(sk0_38,xD))&~aSubsetOf0(xP,xD))&~aElementOf0(xP,slbdtsldtrb0(xD,xk))),
% 159.37/20.32 inference(skolemization,[status(esa)],[f669])).
% 159.37/20.32 fof(f671,plain,(
% 159.37/20.32 aElementOf0(sk0_38,xP)),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f670])).
% 159.37/20.32 fof(f672,plain,(
% 159.37/20.32 ~aElementOf0(sk0_38,xD)),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f670])).
% 159.37/20.32 fof(f714,plain,(
% 159.37/20.32 ![W0]: (~pd0_4(W0)|(((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f414])).
% 159.37/20.32 fof(f715,plain,(
% 159.37/20.32 ![W0]: (~pd0_4(W0)|(((~aSet0(sdtlpdtrp0(xN,W0))|(aElementOf0(sk0_45(W0),sdtlpdtrp0(xN,W0))&~aElementOf0(sk0_45(W0),szNzAzT0)))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 159.37/20.32 inference(skolemization,[status(esa)],[f714])).
% 159.37/20.32 fof(f718,plain,(
% 159.37/20.32 ![X0]: (~pd0_4(X0)|~aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X0)))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f715])).
% 159.37/20.32 fof(f768,plain,(
% 159.37/20.32 ![W0]: (~pd0_9(W0)|((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO)))),
% 159.37/20.32 inference(pre_NNF_transformation,[status(esa)],[f594])).
% 159.37/20.32 fof(f770,plain,(
% 159.37/20.32 ![X0]: (~pd0_9(X0)|~aElementOf0(X0,xO))),
% 159.37/20.32 inference(cnf_transformation,[status(esa)],[f768])).
% 159.37/20.32 fof(f784,plain,(
% 159.37/20.32 aElementOf0(sk0_38,xO)),
% 159.37/20.32 inference(resolution,[status(thm)],[f646,f671])).
% 159.37/20.32 fof(f900,plain,(
% 159.37/20.32 spl0_23 <=> aSet0(xD)),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.37/20.32 fof(f902,plain,(
% 159.37/20.32 ~aSet0(xD)|spl0_23),
% 159.37/20.32 inference(component_clause,[status(thm)],[f900])).
% 159.37/20.32 fof(f918,plain,(
% 159.37/20.32 $false|spl0_23),
% 159.37/20.32 inference(forward_subsumption_resolution,[status(thm)],[f902,f663])).
% 159.37/20.32 fof(f919,plain,(
% 159.37/20.32 spl0_23),
% 159.37/20.32 inference(contradiction_clause,[status(thm)],[f918])).
% 159.37/20.32 fof(f956,plain,(
% 159.37/20.32 spl0_33 <=> aElementOf0(xn,szNzAzT0)),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.37/20.32 fof(f958,plain,(
% 159.37/20.32 ~aElementOf0(xn,szNzAzT0)|spl0_33),
% 159.37/20.32 inference(component_clause,[status(thm)],[f956])).
% 159.37/20.32 fof(f1231,plain,(
% 159.37/20.32 spl0_74 <=> ~aElementOf0(X0,xP)|aElementOf0(X0,xD)),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.37/20.32 fof(f1232,plain,(
% 159.37/20.32 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xD)|~spl0_74)),
% 159.37/20.32 inference(component_clause,[status(thm)],[f1231])).
% 159.37/20.32 fof(f1403,plain,(
% 159.37/20.32 $false|spl0_33),
% 159.37/20.32 inference(forward_subsumption_resolution,[status(thm)],[f653,f958])).
% 159.37/20.32 fof(f1404,plain,(
% 159.37/20.32 spl0_33),
% 159.37/20.32 inference(contradiction_clause,[status(thm)],[f1403])).
% 159.37/20.32 fof(f1662,plain,(
% 159.37/20.32 ![X0]: (~pd0_4(X0)|~isCountable0(sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0))),
% 159.37/20.32 inference(resolution,[status(thm)],[f718,f435])).
% 159.37/20.32 fof(f4470,plain,(
% 159.37/20.32 ~pd0_9(sk0_38)),
% 159.37/20.32 inference(resolution,[status(thm)],[f770,f784])).
% 159.37/20.32 fof(f10116,plain,(
% 159.37/20.32 isCountable0(sk0_28(xn))),
% 159.37/20.32 inference(resolution,[status(thm)],[f536,f653])).
% 159.37/20.32 fof(f11241,plain,(
% 159.37/20.32 spl0_1142 <=> aElementOf0(sk0_37,szDzozmdt0(xe))),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.37/20.32 fof(f11243,plain,(
% 159.37/20.32 ~aElementOf0(sk0_37,szDzozmdt0(xe))|spl0_1142),
% 159.37/20.32 inference(component_clause,[status(thm)],[f11241])).
% 159.37/20.32 fof(f11315,plain,(
% 159.37/20.32 ~aElementOf0(sk0_37,szNzAzT0)|spl0_1142),
% 159.37/20.32 inference(forward_demodulation,[status(thm)],[f550,f11243])).
% 159.37/20.32 fof(f11395,plain,(
% 159.37/20.32 aSet0(sdtlcdtrc0(xd,szNzAzT0))),
% 159.37/20.32 inference(forward_demodulation,[status(thm)],[f557,f566])).
% 159.37/20.32 fof(f15334,plain,(
% 159.37/20.32 spl0_1512 <=> ~aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aElementOf0(X0,xD)),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.37/20.32 fof(f15335,plain,(
% 159.37/20.32 ![X0]: (~aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aElementOf0(X0,xD)|~spl0_1512)),
% 159.37/20.32 inference(component_clause,[status(thm)],[f15334])).
% 159.37/20.32 fof(f15366,plain,(
% 159.37/20.32 spl0_1516 <=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 159.37/20.32 introduced(split_symbol_definition)).
% 159.62/20.36 fof(f15367,plain,(
% 159.62/20.36 aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)|~spl0_1516),
% 159.62/20.36 inference(component_clause,[status(thm)],[f15366])).
% 159.62/20.36 fof(f17370,plain,(
% 159.62/20.36 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,szNzAzT0))),
% 159.62/20.36 inference(backward_subsumption_resolution,[status(thm)],[f1662,f436])).
% 159.62/20.36 fof(f18407,plain,(
% 159.62/20.36 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 159.62/20.36 inference(backward_subsumption_resolution,[status(thm)],[f430,f17370])).
% 159.62/20.36 fof(f18721,plain,(
% 159.62/20.36 ~aElementOf0(xn,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 159.62/20.36 inference(paramodulation,[status(thm)],[f668,f18407])).
% 159.62/20.36 fof(f18722,plain,(
% 159.62/20.36 ~spl0_33|spl0_1516),
% 159.62/20.36 inference(split_clause,[status(thm)],[f18721,f956,f15366])).
% 159.62/20.36 fof(f23181,plain,(
% 159.62/20.36 ![X0]: (~aSet0(xD)|~aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aElementOf0(X0,xD)|~spl0_1516)),
% 159.62/20.36 inference(resolution,[status(thm)],[f15367,f146])).
% 159.62/20.36 fof(f23182,plain,(
% 159.62/20.36 ~spl0_23|spl0_1512|~spl0_1516),
% 159.62/20.36 inference(split_clause,[status(thm)],[f23181,f900,f15334,f15366])).
% 159.62/20.36 fof(f25690,plain,(
% 159.62/20.36 spl0_2340 <=> aSet0(sdtlcdtrc0(xd,szNzAzT0))),
% 159.62/20.36 introduced(split_symbol_definition)).
% 159.62/20.36 fof(f25692,plain,(
% 159.62/20.36 ~aSet0(sdtlcdtrc0(xd,szNzAzT0))|spl0_2340),
% 159.62/20.36 inference(component_clause,[status(thm)],[f25690])).
% 159.62/20.36 fof(f26343,plain,(
% 159.62/20.36 aElementOf0(sk0_38,xD)|~spl0_74),
% 159.62/20.36 inference(resolution,[status(thm)],[f1232,f671])).
% 159.62/20.36 fof(f26344,plain,(
% 159.62/20.36 $false|~spl0_74),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f26343,f672])).
% 159.62/20.36 fof(f26345,plain,(
% 159.62/20.36 ~spl0_74),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f26344])).
% 159.62/20.36 fof(f26967,plain,(
% 159.62/20.36 spl0_2404 <=> isCountable0(sk0_28(xn))),
% 159.62/20.36 introduced(split_symbol_definition)).
% 159.62/20.36 fof(f26969,plain,(
% 159.62/20.36 ~isCountable0(sk0_28(xn))|spl0_2404),
% 159.62/20.36 inference(component_clause,[status(thm)],[f26967])).
% 159.62/20.36 fof(f26996,plain,(
% 159.62/20.36 $false|spl0_2404),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f26969,f10116])).
% 159.62/20.36 fof(f26997,plain,(
% 159.62/20.36 spl0_2404),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f26996])).
% 159.62/20.36 fof(f28071,plain,(
% 159.62/20.36 $false|spl0_2340),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f25692,f11395])).
% 159.62/20.36 fof(f28072,plain,(
% 159.62/20.36 spl0_2340),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f28071])).
% 159.62/20.36 fof(f28259,plain,(
% 159.62/20.36 spl0_2530 <=> pd0_9(sk0_38)),
% 159.62/20.36 introduced(split_symbol_definition)).
% 159.62/20.36 fof(f28260,plain,(
% 159.62/20.36 pd0_9(sk0_38)|~spl0_2530),
% 159.62/20.36 inference(component_clause,[status(thm)],[f28259])).
% 159.62/20.36 fof(f28291,plain,(
% 159.62/20.36 $false|~spl0_2530),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f28260,f4470])).
% 159.62/20.36 fof(f28292,plain,(
% 159.62/20.36 ~spl0_2530),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f28291])).
% 159.62/20.36 fof(f29207,plain,(
% 159.62/20.36 ![X0]: (~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|aElementOf0(X0,szNzAzT0))),
% 159.62/20.36 inference(forward_demodulation,[status(thm)],[f557,f576])).
% 159.62/20.36 fof(f29211,plain,(
% 159.62/20.36 spl0_2556 <=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 159.62/20.36 introduced(split_symbol_definition)).
% 159.62/20.36 fof(f29213,plain,(
% 159.62/20.36 ~aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))|spl0_2556),
% 159.62/20.36 inference(component_clause,[status(thm)],[f29211])).
% 159.62/20.36 fof(f29248,plain,(
% 159.62/20.36 $false|spl0_2556),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f29213,f575])).
% 159.62/20.36 fof(f29249,plain,(
% 159.62/20.36 spl0_2556),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f29248])).
% 159.62/20.36 fof(f30206,plain,(
% 159.62/20.36 aElementOf0(sk0_37,szNzAzT0)),
% 159.62/20.36 inference(resolution,[status(thm)],[f640,f29207])).
% 159.62/20.36 fof(f30207,plain,(
% 159.62/20.36 $false|spl0_1142),
% 159.62/20.36 inference(forward_subsumption_resolution,[status(thm)],[f30206,f11315])).
% 159.62/20.36 fof(f30208,plain,(
% 159.62/20.36 spl0_1142),
% 159.62/20.36 inference(contradiction_clause,[status(thm)],[f30207])).
% 159.62/20.36 fof(f30237,plain,(
% 159.62/20.36 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xD)|~spl0_1512)),
% 159.62/20.36 inference(resolution,[status(thm)],[f657,f15335])).
% 159.62/20.36 fof(f30238,plain,(
% 159.62/20.36 spl0_74|~spl0_1512),
% 159.62/20.36 inference(split_clause,[status(thm)],[f30237,f1231,f15334])).
% 159.62/20.36 fof(f30253,plain,(
% 159.62/20.36 $false),
% 159.62/20.36 inference(sat_refutation,[status(thm)],[f919,f1404,f18722,f23182,f26345,f26997,f28072,f28292,f29249,f30208,f30238])).
% 159.62/20.36 % SZS output end CNFRefutation for theBenchmark.p
% 159.62/20.41 % Elapsed time: 20.140979 seconds
% 159.62/20.41 % CPU time: 159.862113 seconds
% 159.62/20.41 % Total memory used: 469.482 MB
% 159.62/20.41 % Net memory used: 455.636 MB
%------------------------------------------------------------------------------