TSTP Solution File: NUM581+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:35:14 EDT 2024
% Result : Theorem 140.70s 18.13s
% Output : CNFRefutation 141.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:45:59 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 140.70/18.13 % Refutation found
% 140.70/18.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 140.70/18.13 % SZS output start CNFRefutation for theBenchmark
% 140.70/18.13 fof(f5,definition,(
% 140.70/18.13 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f23,axiom,(
% 140.70/18.13 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f24,axiom,(
% 140.70/18.13 aElementOf0(sz00,szNzAzT0) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f25,axiom,(
% 140.70/18.13 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f30,axiom,(
% 140.70/18.13 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f33,axiom,(
% 140.70/18.13 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f34,axiom,(
% 140.70/18.13 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,W0) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f36,axiom,(
% 140.70/18.13 (! [W0,W1,W2] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0)& aElementOf0(W2,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f37,axiom,(
% 140.70/18.13 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f42,axiom,(
% 140.70/18.13 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f74,hypothesis,(
% 140.70/18.13 aElementOf0(xK,szNzAzT0) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f75,hypothesis,(
% 140.70/18.13 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f76,hypothesis,(
% 140.70/18.13 ( aFunction0(xc)& (! [W0] :( ( aElementOf0(W0,szDzozmdt0(xc))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& sbrdtbr0(W0) = xK ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xK )=> aElementOf0(W0,szDzozmdt0(xc)) ) ))& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=> (? [W1] :( aElementOf0(W1,szDzozmdt0(xc))& sdtlpdtrp0(xc,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))=> aElementOf0(W0,xT) ))& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f78,hypothesis,(
% 140.70/18.13 xK != sz00 ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f80,hypothesis,(
% 140.70/18.13 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f81,hypothesis,(
% 140.70/18.13 ( 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))) ) ) ) )) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f82,hypothesis,(
% 140.70/18.13 (! [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)) ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f83,hypothesis,(
% 140.70/18.13 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> ( (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ) )),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f85,hypothesis,(
% 140.70/18.13 aElementOf0(xi,szNzAzT0) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f86,hypothesis,(
% 140.70/18.13 ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xi))& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ))& aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,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)) ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f88,conjecture,(
% 140.70/18.13 ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) ))=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& ( aElementOf0(W0,xQ)| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ) ),
% 140.70/18.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 140.70/18.13 fof(f89,negated_conjecture,(
% 140.70/18.13 ~(( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) ))=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& ( aElementOf0(W0,xQ)| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ) )),
% 140.70/18.13 inference(negated_conjecture,[status(cth)],[f88])).
% 140.70/18.13 fof(f100,plain,(
% 140.70/18.13 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 140.70/18.13 fof(f101,plain,(
% 140.70/18.13 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f100])).
% 140.70/18.13 fof(f102,plain,(
% 140.70/18.13 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 140.70/18.13 inference(miniscoping,[status(esa)],[f101])).
% 140.70/18.13 fof(f103,plain,(
% 140.70/18.13 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 140.70/18.13 inference(skolemization,[status(esa)],[f102])).
% 140.70/18.13 fof(f104,plain,(
% 140.70/18.13 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f103])).
% 140.70/18.13 fof(f105,plain,(
% 140.70/18.13 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f103])).
% 140.70/18.13 fof(f167,plain,(
% 140.70/18.13 isCountable0(szNzAzT0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f23])).
% 140.70/18.13 fof(f168,plain,(
% 140.70/18.13 aElementOf0(sz00,szNzAzT0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f24])).
% 140.70/18.13 fof(f169,plain,(
% 140.70/18.13 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 140.70/18.13 fof(f170,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f169])).
% 140.70/18.13 fof(f182,plain,(
% 140.70/18.13 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 140.70/18.13 fof(f183,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f182])).
% 140.70/18.13 fof(f190,plain,(
% 140.70/18.13 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,szszuzczcdt0(W0)))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 140.70/18.13 fof(f191,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,szszuzczcdt0(X0)))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f190])).
% 140.70/18.13 fof(f192,plain,(
% 140.70/18.13 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,W0))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 140.70/18.13 fof(f193,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,X0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f192])).
% 140.70/18.13 fof(f196,plain,(
% 140.70/18.13 ![W0,W1,W2]: (((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|~aElementOf0(W2,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 140.70/18.13 fof(f197,plain,(
% 140.70/18.13 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f196])).
% 140.70/18.13 fof(f198,plain,(
% 140.70/18.13 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 140.70/18.13 fof(f199,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f198])).
% 140.70/18.13 fof(f210,plain,(
% 140.70/18.13 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 140.70/18.13 fof(f211,plain,(
% 140.70/18.13 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f210])).
% 140.70/18.13 fof(f213,plain,(
% 140.70/18.13 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f211])).
% 140.70/18.13 fof(f348,plain,(
% 140.70/18.13 aElementOf0(xK,szNzAzT0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f74])).
% 140.70/18.13 fof(f349,plain,(
% 140.70/18.13 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 140.70/18.13 fof(f350,plain,(
% 140.70/18.13 aSet0(xS)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f349])).
% 140.70/18.13 fof(f354,plain,(
% 140.70/18.13 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=>(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 140.70/18.13 fof(f355,plain,(
% 140.70/18.13 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: ((~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))&(aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f354])).
% 140.70/18.13 fof(f356,plain,(
% 140.70/18.13 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 140.70/18.13 inference(miniscoping,[status(esa)],[f355])).
% 140.70/18.13 fof(f357,plain,(
% 140.70/18.13 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sk0_19(W0),W0)&~aElementOf0(sk0_19(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(aElementOf0(sk0_20(W0),szDzozmdt0(xc))&sdtlpdtrp0(xc,sk0_20(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 140.70/18.13 inference(skolemization,[status(esa)],[f356])).
% 140.70/18.13 fof(f361,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aSubsetOf0(X0,xS))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f357])).
% 140.70/18.13 fof(f362,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|sbrdtbr0(X0)=xK)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f357])).
% 140.70/18.13 fof(f382,plain,(
% 140.70/18.13 ~xK=sz00),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f78])).
% 140.70/18.13 fof(f384,plain,(
% 140.70/18.13 aElementOf0(xk,szNzAzT0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f80])).
% 140.70/18.13 fof(f386,plain,(
% 140.70/18.13 ((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)))))))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 140.70/18.13 fof(f387,plain,(
% 140.70/18.13 ![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))))),
% 140.70/18.13 introduced(predicate_definition,[f386])).
% 140.70/18.13 fof(f388,plain,(
% 140.70/18.13 ((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)))))))),
% 140.70/18.13 inference(formula_renaming,[status(thm)],[f386,f387])).
% 140.70/18.13 fof(f389,plain,(
% 140.70/18.13 ((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)))))))),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f388])).
% 140.70/18.13 fof(f390,plain,(
% 140.70/18.13 ((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)))))))),
% 140.70/18.13 inference(miniscoping,[status(esa)],[f389])).
% 140.70/18.13 fof(f392,plain,(
% 140.70/18.13 szDzozmdt0(xN)=szNzAzT0),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f390])).
% 140.70/18.13 fof(f393,plain,(
% 140.70/18.13 sdtlpdtrp0(xN,sz00)=xS),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f390])).
% 140.70/18.13 fof(f405,plain,(
% 140.70/18.13 ![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))))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 140.70/18.13 fof(f406,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0)))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f405])).
% 140.70/18.13 fof(f410,plain,(
% 140.70/18.13 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|((![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|aElementOf0(W2,sdtlpdtrp0(xN,W1))))&aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)))))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 140.70/18.13 fof(f411,plain,(
% 140.70/18.13 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|~aElementOf0(X2,sdtlpdtrp0(xN,X0))|aElementOf0(X2,sdtlpdtrp0(xN,X1)))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f410])).
% 140.70/18.13 fof(f420,plain,(
% 140.70/18.13 aElementOf0(xi,szNzAzT0)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f85])).
% 140.70/18.13 fof(f421,plain,(
% 140.70/18.13 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,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))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 140.70/18.13 fof(f422,plain,(
% 140.70/18.13 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: ((~aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,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))),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f421])).
% 140.70/18.13 fof(f423,plain,(
% 140.70/18.13 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,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))),
% 140.70/18.13 inference(miniscoping,[status(esa)],[f422])).
% 140.70/18.13 fof(f428,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|aElementOf0(X0,sdtlpdtrp0(xN,xi)))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f423])).
% 140.70/18.13 fof(f432,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f423])).
% 140.70/18.13 fof(f447,plain,(
% 140.70/18.13 ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),
% 140.70/18.13 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 140.70/18.13 fof(f448,plain,(
% 140.70/18.13 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W0]: ((~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 140.70/18.13 inference(NNF_transformation,[status(esa)],[f447])).
% 140.70/18.13 fof(f449,plain,(
% 140.70/18.13 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W0]: (~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 140.70/18.13 inference(miniscoping,[status(esa)],[f448])).
% 140.70/18.13 fof(f450,plain,(
% 140.70/18.13 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W0]: (~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((aElementOf0(sk0_24,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(sk0_24,xS))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 140.70/18.13 inference(skolemization,[status(esa)],[f449])).
% 140.70/18.13 fof(f451,plain,(
% 140.70/18.13 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f450])).
% 140.70/18.13 fof(f455,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|aElementOf0(X0,xQ)|X0=szmzizndt0(sdtlpdtrp0(xN,xi)))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f450])).
% 140.70/18.13 fof(f458,plain,(
% 140.70/18.13 aElementOf0(sk0_24,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f450])).
% 140.70/18.13 fof(f459,plain,(
% 140.70/18.13 ~aElementOf0(sk0_24,xS)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f450])).
% 140.70/18.13 fof(f460,plain,(
% 140.70/18.13 ~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)),
% 140.70/18.13 inference(cnf_transformation,[status(esa)],[f450])).
% 140.70/18.13 fof(f511,plain,(
% 140.70/18.13 aSet0(slcrc0)),
% 140.70/18.13 inference(destructive_equality_resolution,[status(esa)],[f104])).
% 140.70/18.13 fof(f512,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,slcrc0))),
% 140.70/18.13 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 140.70/18.13 fof(f523,plain,(
% 140.70/18.13 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 140.70/18.13 inference(destructive_equality_resolution,[status(esa)],[f213])).
% 140.70/18.13 fof(f598,plain,(
% 140.70/18.13 sdtlseqdt0(sz00,sz00)),
% 140.70/18.13 inference(resolution,[status(thm)],[f168,f193])).
% 140.70/18.13 fof(f686,plain,(
% 140.70/18.13 spl0_24 <=> aElementOf0(sk0_24,xQ)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f687,plain,(
% 140.70/18.13 aElementOf0(sk0_24,xQ)|~spl0_24),
% 140.70/18.13 inference(component_clause,[status(thm)],[f686])).
% 140.70/18.13 fof(f689,plain,(
% 140.70/18.13 spl0_25 <=> sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f690,plain,(
% 140.70/18.13 sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))|~spl0_25),
% 140.70/18.13 inference(component_clause,[status(thm)],[f689])).
% 140.70/18.13 fof(f692,plain,(
% 140.70/18.13 aElementOf0(sk0_24,xQ)|sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))),
% 140.70/18.13 inference(resolution,[status(thm)],[f455,f458])).
% 140.70/18.13 fof(f693,plain,(
% 140.70/18.13 spl0_24|spl0_25),
% 140.70/18.13 inference(split_clause,[status(thm)],[f692,f686,f689])).
% 140.70/18.13 fof(f708,plain,(
% 140.70/18.13 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_25),
% 140.70/18.13 inference(backward_demodulation,[status(thm)],[f690,f451])).
% 140.70/18.13 fof(f1011,plain,(
% 140.70/18.13 spl0_65 <=> aElementOf0(sz00,szNzAzT0)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1013,plain,(
% 140.70/18.13 ~aElementOf0(sz00,szNzAzT0)|spl0_65),
% 140.70/18.13 inference(component_clause,[status(thm)],[f1011])).
% 140.70/18.13 fof(f1080,plain,(
% 140.70/18.13 spl0_76 <=> sdtlseqdt0(xk,xk)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1093,plain,(
% 140.70/18.13 spl0_79 <=> sdtlseqdt0(xK,xK)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1098,plain,(
% 140.70/18.13 spl0_80 <=> aElementOf0(xi,szNzAzT0)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1100,plain,(
% 140.70/18.13 ~aElementOf0(xi,szNzAzT0)|spl0_80),
% 140.70/18.13 inference(component_clause,[status(thm)],[f1098])).
% 140.70/18.13 fof(f1188,plain,(
% 140.70/18.13 spl0_100 <=> sdtlseqdt0(xi,xi)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1219,plain,(
% 140.70/18.13 $false|spl0_80),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f1100,f420])).
% 140.70/18.13 fof(f1220,plain,(
% 140.70/18.13 spl0_80),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f1219])).
% 140.70/18.13 fof(f1223,plain,(
% 140.70/18.13 $false|spl0_65),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f1013,f168])).
% 140.70/18.13 fof(f1224,plain,(
% 140.70/18.13 spl0_65),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f1223])).
% 140.70/18.13 fof(f1242,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,X1)|sdtlseqdt0(X0,X1))),
% 140.70/18.13 inference(resolution,[status(thm)],[f197,f168])).
% 140.70/18.13 fof(f1243,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,X1))),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f1242,f183])).
% 140.70/18.13 fof(f1460,plain,(
% 140.70/18.13 sbrdtbr0(slcrc0)=sz00),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f523,f511])).
% 140.70/18.13 fof(f1655,plain,(
% 140.70/18.13 spl0_166 <=> sdtlseqdt0(sz00,xi)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1774,plain,(
% 140.70/18.13 spl0_179 <=> aElementOf0(slcrc0,szDzozmdt0(xc))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f1775,plain,(
% 140.70/18.13 aElementOf0(slcrc0,szDzozmdt0(xc))|~spl0_179),
% 140.70/18.13 inference(component_clause,[status(thm)],[f1774])).
% 140.70/18.13 fof(f3366,plain,(
% 140.70/18.13 spl0_360 <=> aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f3367,plain,(
% 140.70/18.13 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_360),
% 140.70/18.13 inference(component_clause,[status(thm)],[f3366])).
% 140.70/18.13 fof(f3368,plain,(
% 140.70/18.13 ~aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|spl0_360),
% 140.70/18.13 inference(component_clause,[status(thm)],[f3366])).
% 140.70/18.13 fof(f3486,plain,(
% 140.70/18.13 spl0_366 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f3487,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_366)),
% 140.70/18.13 inference(component_clause,[status(thm)],[f3486])).
% 140.70/18.13 fof(f3489,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(xi,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_25)),
% 140.70/18.13 inference(resolution,[status(thm)],[f708,f411])).
% 140.70/18.13 fof(f3490,plain,(
% 140.70/18.13 ~spl0_80|spl0_366|~spl0_25),
% 140.70/18.13 inference(split_clause,[status(thm)],[f3489,f1098,f3486,f689])).
% 140.70/18.13 fof(f4382,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,xi))),
% 140.70/18.13 inference(resolution,[status(thm)],[f1243,f420])).
% 140.70/18.13 fof(f4412,plain,(
% 140.70/18.13 ~aElementOf0(sz00,szNzAzT0)|sdtlseqdt0(sz00,xi)),
% 140.70/18.13 inference(resolution,[status(thm)],[f4382,f598])).
% 140.70/18.13 fof(f4413,plain,(
% 140.70/18.13 ~spl0_65|spl0_166),
% 140.70/18.13 inference(split_clause,[status(thm)],[f4412,f1011,f1655])).
% 140.70/18.13 fof(f6945,plain,(
% 140.70/18.13 spl0_696 <=> aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f6946,plain,(
% 140.70/18.13 aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))|~spl0_696),
% 140.70/18.13 inference(component_clause,[status(thm)],[f6945])).
% 140.70/18.13 fof(f7873,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1)|~aElementOf0(X0,szNzAzT0))),
% 140.70/18.13 inference(resolution,[status(thm)],[f197,f191])).
% 140.70/18.13 fof(f7874,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 140.70/18.13 inference(duplicate_literals_removal,[status(esa)],[f7873])).
% 140.70/18.13 fof(f7875,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f7874,f170])).
% 140.70/18.13 fof(f10115,plain,(
% 140.70/18.13 spl0_967 <=> aElementOf0(sk0_24,xS)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f10116,plain,(
% 140.70/18.13 aElementOf0(sk0_24,xS)|~spl0_967),
% 140.70/18.13 inference(component_clause,[status(thm)],[f10115])).
% 140.70/18.13 fof(f10118,plain,(
% 140.70/18.13 ~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(sz00,xi)|aElementOf0(sk0_24,xS)|~spl0_366),
% 140.70/18.13 inference(paramodulation,[status(thm)],[f393,f3487])).
% 140.70/18.13 fof(f10119,plain,(
% 140.70/18.13 ~spl0_65|~spl0_166|spl0_967|~spl0_366),
% 140.70/18.13 inference(split_clause,[status(thm)],[f10118,f1011,f1655,f10115,f3486])).
% 140.70/18.13 fof(f10120,plain,(
% 140.70/18.13 $false|~spl0_967),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f10116,f459])).
% 140.70/18.13 fof(f10121,plain,(
% 140.70/18.13 ~spl0_967),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f10120])).
% 140.70/18.13 fof(f10816,plain,(
% 140.70/18.13 spl0_1044 <=> ~aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|X1=sz00),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f10817,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|X0=sz00|~spl0_1044)),
% 140.70/18.13 inference(component_clause,[status(thm)],[f10816])).
% 140.70/18.13 fof(f10823,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|~spl0_1044)),
% 140.70/18.13 inference(duplicate_literals_removal,[status(esa)],[f10817])).
% 140.70/18.13 fof(f11697,plain,(
% 140.70/18.13 spl0_1091 <=> ~aElementOf0(X0,szNzAzT0)|~aSet0(sdtlpdtrp0(xN,X0))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f11698,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSet0(sdtlpdtrp0(xN,X0))|~spl0_1091)),
% 140.70/18.13 inference(component_clause,[status(thm)],[f11697])).
% 140.70/18.13 fof(f11705,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|~spl0_1091)),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f11698,f406])).
% 140.70/18.13 fof(f12166,plain,(
% 140.70/18.13 $false|~spl0_1091),
% 140.70/18.13 inference(backward_subsumption_resolution,[status(thm)],[f420,f11705])).
% 140.70/18.13 fof(f12167,plain,(
% 140.70/18.13 ~spl0_1091),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f12166])).
% 140.70/18.13 fof(f12701,plain,(
% 140.70/18.13 xK=sz00|~spl0_1044),
% 140.70/18.13 inference(resolution,[status(thm)],[f10823,f348])).
% 140.70/18.13 fof(f12702,plain,(
% 140.70/18.13 $false|~spl0_1044),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f12701,f382])).
% 140.70/18.13 fof(f12703,plain,(
% 140.70/18.13 ~spl0_1044),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f12702])).
% 140.70/18.13 fof(f14096,plain,(
% 140.70/18.13 spl0_1252 <=> isCountable0(szDzozmdt0(xN))),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f14098,plain,(
% 140.70/18.13 ~isCountable0(szDzozmdt0(xN))|spl0_1252),
% 140.70/18.13 inference(component_clause,[status(thm)],[f14096])).
% 140.70/18.13 fof(f14107,plain,(
% 140.70/18.13 ~isCountable0(szNzAzT0)|spl0_1252),
% 140.70/18.13 inference(forward_demodulation,[status(thm)],[f392,f14098])).
% 140.70/18.13 fof(f14108,plain,(
% 140.70/18.13 $false|spl0_1252),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f14107,f167])).
% 140.70/18.13 fof(f14109,plain,(
% 140.70/18.13 spl0_1252),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f14108])).
% 140.70/18.13 fof(f14113,plain,(
% 140.70/18.13 sbrdtbr0(slcrc0)=xK|~spl0_179),
% 140.70/18.13 inference(resolution,[status(thm)],[f1775,f362])).
% 140.70/18.13 fof(f14114,plain,(
% 140.70/18.13 sz00=xK|~spl0_179),
% 140.70/18.13 inference(forward_demodulation,[status(thm)],[f1460,f14113])).
% 140.70/18.13 fof(f14115,plain,(
% 140.70/18.13 $false|~spl0_179),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f14114,f382])).
% 140.70/18.13 fof(f14116,plain,(
% 140.70/18.13 ~spl0_179),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f14115])).
% 140.70/18.13 fof(f14675,plain,(
% 140.70/18.13 spl0_1283 <=> aElementOf0(sk0_19(slcrc0),slcrc0)),
% 140.70/18.13 introduced(split_symbol_definition)).
% 140.70/18.13 fof(f14676,plain,(
% 140.70/18.13 aElementOf0(sk0_19(slcrc0),slcrc0)|~spl0_1283),
% 140.70/18.13 inference(component_clause,[status(thm)],[f14675])).
% 140.70/18.13 fof(f14680,plain,(
% 140.70/18.13 $false|~spl0_1283),
% 140.70/18.13 inference(forward_subsumption_resolution,[status(thm)],[f14676,f512])).
% 140.70/18.13 fof(f14681,plain,(
% 140.70/18.13 ~spl0_1283),
% 140.70/18.13 inference(contradiction_clause,[status(thm)],[f14680])).
% 140.70/18.13 fof(f16978,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X1,X0))),
% 140.70/18.13 inference(resolution,[status(thm)],[f199,f7875])).
% 140.70/18.13 fof(f16979,plain,(
% 140.70/18.13 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 140.70/18.13 inference(duplicate_literals_removal,[status(esa)],[f16978])).
% 140.70/18.13 fof(f17042,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xi)|sdtlseqdt0(xi,X0))),
% 140.70/18.13 inference(resolution,[status(thm)],[f16979,f420])).
% 140.70/18.13 fof(f17074,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xK)|sdtlseqdt0(xK,X0))),
% 140.70/18.13 inference(resolution,[status(thm)],[f16979,f348])).
% 140.70/18.13 fof(f17080,plain,(
% 140.70/18.13 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xk)|sdtlseqdt0(xk,X0))),
% 140.70/18.13 inference(resolution,[status(thm)],[f16979,f384])).
% 140.70/18.13 fof(f17107,plain,(
% 140.70/18.13 sdtlseqdt0(xi,xi)|sdtlseqdt0(xi,xi)),
% 140.70/18.13 inference(resolution,[status(thm)],[f17042,f420])).
% 140.70/18.13 fof(f17108,plain,(
% 140.70/18.13 spl0_100),
% 140.70/18.13 inference(split_clause,[status(thm)],[f17107,f1188])).
% 141.18/18.19 fof(f17225,plain,(
% 141.18/18.19 sdtlseqdt0(xK,xK)|sdtlseqdt0(xK,xK)),
% 141.18/18.19 inference(resolution,[status(thm)],[f17074,f348])).
% 141.18/18.19 fof(f17226,plain,(
% 141.18/18.19 spl0_79),
% 141.18/18.19 inference(split_clause,[status(thm)],[f17225,f1093])).
% 141.18/18.19 fof(f17304,plain,(
% 141.18/18.19 sdtlseqdt0(xk,xk)|sdtlseqdt0(xk,xk)),
% 141.18/18.19 inference(resolution,[status(thm)],[f17080,f384])).
% 141.18/18.19 fof(f17305,plain,(
% 141.18/18.19 spl0_76),
% 141.18/18.19 inference(split_clause,[status(thm)],[f17304,f1080])).
% 141.18/18.19 fof(f19162,plain,(
% 141.18/18.19 spl0_1650 <=> aSet0(sdtlpdtrp0(xN,sz00))),
% 141.18/18.19 introduced(split_symbol_definition)).
% 141.18/18.19 fof(f19164,plain,(
% 141.18/18.19 ~aSet0(sdtlpdtrp0(xN,sz00))|spl0_1650),
% 141.18/18.19 inference(component_clause,[status(thm)],[f19162])).
% 141.18/18.19 fof(f19844,plain,(
% 141.18/18.19 ![X0]: (aElementOf0(X0,sdtlpdtrp0(xN,xi))|~aElementOf0(X0,xQ))),
% 141.18/18.19 inference(resolution,[status(thm)],[f428,f432])).
% 141.18/18.19 fof(f20425,plain,(
% 141.18/18.19 aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)|~spl0_696),
% 141.18/18.19 inference(resolution,[status(thm)],[f6946,f361])).
% 141.18/18.19 fof(f20426,plain,(
% 141.18/18.19 $false|~spl0_696),
% 141.18/18.19 inference(forward_subsumption_resolution,[status(thm)],[f20425,f460])).
% 141.18/18.19 fof(f20427,plain,(
% 141.18/18.19 ~spl0_696),
% 141.18/18.19 inference(contradiction_clause,[status(thm)],[f20426])).
% 141.18/18.19 fof(f23783,plain,(
% 141.18/18.19 ~aSet0(xS)|spl0_1650),
% 141.18/18.19 inference(forward_demodulation,[status(thm)],[f393,f19164])).
% 141.18/18.19 fof(f23784,plain,(
% 141.18/18.19 $false|spl0_1650),
% 141.18/18.19 inference(forward_subsumption_resolution,[status(thm)],[f23783,f350])).
% 141.18/18.19 fof(f23785,plain,(
% 141.18/18.19 spl0_1650),
% 141.18/18.19 inference(contradiction_clause,[status(thm)],[f23784])).
% 141.18/18.19 fof(f23789,plain,(
% 141.18/18.19 ~aElementOf0(sk0_24,xQ)|spl0_360),
% 141.18/18.19 inference(resolution,[status(thm)],[f3368,f19844])).
% 141.18/18.19 fof(f23790,plain,(
% 141.18/18.19 $false|~spl0_24|spl0_360),
% 141.18/18.19 inference(forward_subsumption_resolution,[status(thm)],[f23789,f687])).
% 141.18/18.19 fof(f23791,plain,(
% 141.18/18.19 ~spl0_24|spl0_360),
% 141.18/18.19 inference(contradiction_clause,[status(thm)],[f23790])).
% 141.18/18.19 fof(f32696,plain,(
% 141.18/18.19 ![X0]: (~aElementOf0(xi,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_360)),
% 141.18/18.19 inference(resolution,[status(thm)],[f3367,f411])).
% 141.18/18.19 fof(f32697,plain,(
% 141.18/18.19 ~spl0_80|spl0_366|~spl0_360),
% 141.18/18.19 inference(split_clause,[status(thm)],[f32696,f1098,f3486,f3366])).
% 141.18/18.19 fof(f32700,plain,(
% 141.18/18.19 $false),
% 141.18/18.19 inference(sat_refutation,[status(thm)],[f693,f1220,f1224,f3490,f4413,f10119,f10121,f12167,f12703,f14109,f14116,f14681,f17108,f17226,f17305,f20427,f23785,f23791,f32697])).
% 141.18/18.19 % SZS output end CNFRefutation for theBenchmark.p
% 141.18/18.22 % Elapsed time: 17.852962 seconds
% 141.18/18.22 % CPU time: 141.419901 seconds
% 141.18/18.22 % Total memory used: 388.056 MB
% 141.18/18.22 % Net memory used: 370.903 MB
%------------------------------------------------------------------------------