TSTP Solution File: NUM586+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM586+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:35:15 EDT 2024
% Result : Theorem 2.50s 0.69s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM586+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n012.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 20:46:41 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 2.50/0.69 % Refutation found
% 2.50/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.50/0.69 % SZS output start CNFRefutation for theBenchmark
% 2.50/0.69 fof(f5,definition,(
% 2.50/0.69 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f9,axiom,(
% 2.50/0.69 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> W0 != slcrc0 ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f12,axiom,(
% 2.50/0.69 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f28,axiom,(
% 2.50/0.69 (! [W0] :( aElementOf0(W0,szNzAzT0)=> W0 != szszuzczcdt0(W0) ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f50,definition,(
% 2.50/0.69 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f64,axiom,(
% 2.50/0.69 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f74,hypothesis,(
% 2.50/0.69 aElementOf0(xK,szNzAzT0) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f75,hypothesis,(
% 2.50/0.69 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f76,hypothesis,(
% 2.50/0.69 ( 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) ) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f78,hypothesis,(
% 2.50/0.69 xK != sz00 ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f80,hypothesis,(
% 2.50/0.69 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f86,hypothesis,(
% 2.50/0.69 ( aFunction0(xC)& szDzozmdt0(xC) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& sbrdtbr0(W1) = xk ) )& ( ( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )& sbrdtbr0(W1) = xk )=> aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0))) ) ))& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)& (! [W1] :( ( aSet0(W1)& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,W0))& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( ( ( (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )& sbrdtbr0(W1) = xk )| aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) )=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ))& (! [W2] :( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& ( aElementOf0(W2,W1)| W2 = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))& sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) )) ) )) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f87,hypothesis,(
% 2.50/0.69 aElementOf0(xi,szNzAzT0) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f88,hypothesis,(
% 2.50/0.69 ( (? [W0] :( aElementOf0(W0,szDzozmdt0(sdtlpdtrp0(xC,xi)))& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ))& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ) ),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f89,conjecture,(
% 2.50/0.69 (? [W0] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,xi))& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ) )),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.50/0.69 fof(f90,negated_conjecture,(
% 2.50/0.69 ~((? [W0] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,xi))& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ) ))),
% 2.50/0.69 inference(negated_conjecture,[status(cth)],[f89])).
% 2.50/0.69 fof(f101,plain,(
% 2.50/0.69 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.50/0.69 fof(f102,plain,(
% 2.50/0.69 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 2.50/0.69 inference(NNF_transformation,[status(esa)],[f101])).
% 2.50/0.69 fof(f103,plain,(
% 2.50/0.69 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 2.50/0.69 inference(miniscoping,[status(esa)],[f102])).
% 2.50/0.69 fof(f104,plain,(
% 2.50/0.69 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 2.50/0.69 inference(skolemization,[status(esa)],[f103])).
% 2.50/0.69 fof(f105,plain,(
% 2.50/0.69 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f104])).
% 2.50/0.69 fof(f106,plain,(
% 2.50/0.69 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f104])).
% 2.50/0.69 fof(f113,plain,(
% 2.50/0.69 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~W0=slcrc0)),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.50/0.69 fof(f114,plain,(
% 2.50/0.69 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~X0=slcrc0)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f113])).
% 2.50/0.69 fof(f125,plain,(
% 2.50/0.69 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 2.50/0.69 fof(f126,plain,(
% 2.50/0.69 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f125])).
% 2.50/0.69 fof(f179,plain,(
% 2.50/0.69 ![W0]: (~aElementOf0(W0,szNzAzT0)|~W0=szszuzczcdt0(W0))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 2.50/0.69 fof(f180,plain,(
% 2.50/0.69 ![X0]: (~aElementOf0(X0,szNzAzT0)|~X0=szszuzczcdt0(X0))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f179])).
% 2.50/0.69 fof(f243,plain,(
% 2.50/0.69 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 2.50/0.69 fof(f244,plain,(
% 2.50/0.69 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~W1=slbdtrb0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))))))&(W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 2.50/0.69 inference(NNF_transformation,[status(esa)],[f243])).
% 2.50/0.69 fof(f245,plain,(
% 2.50/0.69 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 2.50/0.69 inference(miniscoping,[status(esa)],[f244])).
% 2.50/0.69 fof(f246,plain,(
% 2.50/0.69 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|((~aElementOf0(sk0_8(W1,W0),W1)|(~aElementOf0(sk0_8(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))&(aElementOf0(sk0_8(W1,W0),W1)|(aElementOf0(sk0_8(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))))))))),
% 2.50/0.69 inference(skolemization,[status(esa)],[f245])).
% 2.50/0.69 fof(f247,plain,(
% 2.50/0.69 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f246])).
% 2.50/0.69 fof(f299,plain,(
% 2.50/0.69 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 2.50/0.69 fof(f300,plain,(
% 2.50/0.69 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f299])).
% 2.50/0.69 fof(f349,plain,(
% 2.50/0.69 aElementOf0(xK,szNzAzT0)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f74])).
% 2.50/0.69 fof(f350,plain,(
% 2.50/0.69 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 2.50/0.69 fof(f354,plain,(
% 2.50/0.69 isCountable0(xS)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f350])).
% 2.50/0.69 fof(f355,plain,(
% 2.50/0.69 (((((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)),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 2.50/0.69 fof(f356,plain,(
% 2.50/0.69 (((((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)),
% 2.50/0.69 inference(NNF_transformation,[status(esa)],[f355])).
% 2.50/0.69 fof(f357,plain,(
% 2.50/0.69 (((((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)),
% 2.50/0.69 inference(miniscoping,[status(esa)],[f356])).
% 2.50/0.69 fof(f358,plain,(
% 2.50/0.69 (((((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)),
% 2.50/0.69 inference(skolemization,[status(esa)],[f357])).
% 2.50/0.69 fof(f359,plain,(
% 2.50/0.69 aFunction0(xc)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f358])).
% 2.50/0.69 fof(f368,plain,(
% 2.50/0.69 aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f358])).
% 2.50/0.69 fof(f383,plain,(
% 2.50/0.69 ~xK=sz00),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f78])).
% 2.50/0.69 fof(f385,plain,(
% 2.50/0.69 aElementOf0(xk,szNzAzT0)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f80])).
% 2.50/0.69 fof(f386,plain,(
% 2.50/0.69 szszuzczcdt0(xk)=xK),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f80])).
% 2.50/0.69 fof(f437,plain,(
% 2.50/0.69 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=>(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 2.50/0.69 fof(f438,plain,(
% 2.50/0.69 ![W0,W1]: (pd0_6(W1,W0)=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))),
% 2.50/0.69 introduced(predicate_definition,[f437])).
% 2.50/0.69 fof(f439,plain,(
% 2.50/0.69 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|pd0_6(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=>(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 2.50/0.69 inference(formula_renaming,[status(thm)],[f437,f438])).
% 2.50/0.69 fof(f440,plain,(
% 2.50/0.69 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&(![W1]: ((~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|pd0_6(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: ((~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 2.50/0.69 inference(NNF_transformation,[status(esa)],[f439])).
% 2.50/0.69 fof(f441,plain,(
% 2.50/0.69 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&((![W1]: (~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk)))&(![W1]: ((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|pd0_6(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((![W2]: (~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 2.50/0.69 inference(miniscoping,[status(esa)],[f440])).
% 2.50/0.69 fof(f442,plain,(
% 2.50/0.69 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&((![W1]: (~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk)))&(![W1]: ((((~aSet0(W1)|(aElementOf0(sk0_24(W1,W0),W1)&~aElementOf0(sk0_24(W1,W0),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|pd0_6(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((![W2]: (~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 2.50/0.69 inference(skolemization,[status(esa)],[f441])).
% 2.50/0.69 fof(f455,plain,(
% 2.50/0.69 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))|aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f442])).
% 2.50/0.69 fof(f456,plain,(
% 2.50/0.69 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))|sbrdtbr0(X1)=xk)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f442])).
% 2.50/0.69 fof(f468,plain,(
% 2.50/0.69 aElementOf0(xi,szNzAzT0)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f87])).
% 2.50/0.69 fof(f469,plain,(
% 2.50/0.69 (aElementOf0(sk0_25,szDzozmdt0(sdtlpdtrp0(xC,xi)))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_25)=xx)&aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))),
% 2.50/0.69 inference(skolemization,[status(esa)],[f88])).
% 2.50/0.69 fof(f470,plain,(
% 2.50/0.69 aElementOf0(sk0_25,szDzozmdt0(sdtlpdtrp0(xC,xi)))),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f469])).
% 2.50/0.69 fof(f471,plain,(
% 2.50/0.69 sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_25)=xx),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f469])).
% 2.50/0.69 fof(f473,plain,(
% 2.50/0.69 (![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx))),
% 2.50/0.69 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 2.50/0.69 fof(f474,plain,(
% 2.50/0.69 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W1]: ((~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 2.50/0.69 inference(NNF_transformation,[status(esa)],[f473])).
% 2.50/0.69 fof(f475,plain,(
% 2.50/0.69 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 2.50/0.69 inference(miniscoping,[status(esa)],[f474])).
% 2.50/0.69 fof(f476,plain,(
% 2.50/0.69 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(aElementOf0(sk0_26(W0),W0)&~aElementOf0(sk0_26(W0),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 2.50/0.69 inference(skolemization,[status(esa)],[f475])).
% 2.50/0.69 fof(f486,plain,(
% 2.50/0.69 ![X0]: (~aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~sbrdtbr0(X0)=xk|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)=xx)),
% 2.50/0.69 inference(cnf_transformation,[status(esa)],[f476])).
% 2.50/0.69 fof(f571,plain,(
% 2.50/0.69 spl0_1 <=> ~sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)=xx),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f572,plain,(
% 2.50/0.69 ![X0]: (~sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)=xx|~spl0_1)),
% 2.50/0.69 inference(component_clause,[status(thm)],[f571])).
% 2.50/0.69 fof(f599,plain,(
% 2.50/0.69 aSet0(slcrc0)),
% 2.50/0.69 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 2.50/0.69 fof(f600,plain,(
% 2.50/0.69 ![X0]: (~aElementOf0(X0,slcrc0))),
% 2.50/0.69 inference(destructive_equality_resolution,[status(esa)],[f106])).
% 2.50/0.69 fof(f601,plain,(
% 2.50/0.69 ~aSet0(slcrc0)|~isCountable0(slcrc0)),
% 2.50/0.69 inference(destructive_equality_resolution,[status(esa)],[f114])).
% 2.50/0.69 fof(f616,plain,(
% 2.50/0.69 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 2.50/0.69 inference(destructive_equality_resolution,[status(esa)],[f247])).
% 2.50/0.69 fof(f722,plain,(
% 2.50/0.69 ~isCountable0(slcrc0)),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f601,f599])).
% 2.50/0.69 fof(f1053,plain,(
% 2.50/0.69 aSet0(szDzozmdt0(xc))),
% 2.50/0.69 inference(resolution,[status(thm)],[f300,f359])).
% 2.50/0.69 fof(f1058,plain,(
% 2.50/0.69 aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))),
% 2.50/0.69 inference(resolution,[status(thm)],[f1053,f126])).
% 2.50/0.69 fof(f1104,plain,(
% 2.50/0.69 spl0_71 <=> szNzAzT0=slcrc0),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1105,plain,(
% 2.50/0.69 szNzAzT0=slcrc0|~spl0_71),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1104])).
% 2.50/0.69 fof(f1111,plain,(
% 2.50/0.69 ~xk=szszuzczcdt0(xk)),
% 2.50/0.69 inference(resolution,[status(thm)],[f180,f385])).
% 2.50/0.69 fof(f1112,plain,(
% 2.50/0.69 ~xk=xK),
% 2.50/0.69 inference(forward_demodulation,[status(thm)],[f386,f1111])).
% 2.50/0.69 fof(f1185,plain,(
% 2.50/0.69 spl0_81 <=> aElementOf0(xi,szNzAzT0)),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1187,plain,(
% 2.50/0.69 ~aElementOf0(xi,szNzAzT0)|spl0_81),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1185])).
% 2.50/0.69 fof(f1209,plain,(
% 2.50/0.69 $false|spl0_81),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1187,f468])).
% 2.50/0.69 fof(f1210,plain,(
% 2.50/0.69 spl0_81),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1209])).
% 2.50/0.69 fof(f1330,plain,(
% 2.50/0.69 spl0_98 <=> ~aSet0(X0)|~aSet0(X0)),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1331,plain,(
% 2.50/0.69 ![X0]: (~aSet0(X0)|~aSet0(X0)|~spl0_98)),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1330])).
% 2.50/0.69 fof(f1461,plain,(
% 2.50/0.69 spl0_112 <=> aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1463,plain,(
% 2.50/0.69 ~aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))|spl0_112),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1461])).
% 2.50/0.69 fof(f1467,plain,(
% 2.50/0.69 spl0_114 <=> aSet0(szDzozmdt0(xc))),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1469,plain,(
% 2.50/0.69 ~aSet0(szDzozmdt0(xc))|spl0_114),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1467])).
% 2.50/0.69 fof(f1484,plain,(
% 2.50/0.69 $false|spl0_114),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1469,f1053])).
% 2.50/0.69 fof(f1485,plain,(
% 2.50/0.69 spl0_114),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1484])).
% 2.50/0.69 fof(f1486,plain,(
% 2.50/0.69 $false|spl0_112),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1463,f1058])).
% 2.50/0.69 fof(f1487,plain,(
% 2.50/0.69 spl0_112),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1486])).
% 2.50/0.69 fof(f1555,plain,(
% 2.50/0.69 spl0_121 <=> ~aElementOf0(X0,szNzAzT0)|sz00=X0),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1556,plain,(
% 2.50/0.69 ![X0]: (~aElementOf0(X0,szNzAzT0)|sz00=X0|~spl0_121)),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1555])).
% 2.50/0.69 fof(f1657,plain,(
% 2.50/0.69 spl0_136 <=> xS=slcrc0),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1658,plain,(
% 2.50/0.69 xS=slcrc0|~spl0_136),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1657])).
% 2.50/0.69 fof(f1671,plain,(
% 2.50/0.69 spl0_138 <=> aElementOf0(xK,szNzAzT0)),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f1673,plain,(
% 2.50/0.69 ~aElementOf0(xK,szNzAzT0)|spl0_138),
% 2.50/0.69 inference(component_clause,[status(thm)],[f1671])).
% 2.50/0.69 fof(f1701,plain,(
% 2.50/0.69 $false|spl0_138),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1673,f349])).
% 2.50/0.69 fof(f1702,plain,(
% 2.50/0.69 spl0_138),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1701])).
% 2.50/0.69 fof(f1846,plain,(
% 2.50/0.69 sz00=xK|~spl0_121),
% 2.50/0.69 inference(resolution,[status(thm)],[f1556,f349])).
% 2.50/0.69 fof(f1847,plain,(
% 2.50/0.69 $false|~spl0_121),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1846,f383])).
% 2.50/0.69 fof(f1848,plain,(
% 2.50/0.69 ~spl0_121),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1847])).
% 2.50/0.69 fof(f1931,plain,(
% 2.50/0.69 ![X0]: (~aSet0(X0)|~spl0_98)),
% 2.50/0.69 inference(duplicate_literals_removal,[status(esa)],[f1331])).
% 2.50/0.69 fof(f1934,plain,(
% 2.50/0.69 $false|~spl0_98),
% 2.50/0.69 inference(backward_subsumption_resolution,[status(thm)],[f368,f1931])).
% 2.50/0.69 fof(f1935,plain,(
% 2.50/0.69 ~spl0_98),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f1934])).
% 2.50/0.69 fof(f2174,plain,(
% 2.50/0.69 spl0_186 <=> xK=xk),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f2175,plain,(
% 2.50/0.69 xK=xk|~spl0_186),
% 2.50/0.69 inference(component_clause,[status(thm)],[f2174])).
% 2.50/0.69 fof(f2196,plain,(
% 2.50/0.69 $false|~spl0_186),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f2175,f1112])).
% 2.50/0.69 fof(f2197,plain,(
% 2.50/0.69 ~spl0_186),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f2196])).
% 2.50/0.69 fof(f3194,plain,(
% 2.50/0.69 spl0_295 <=> aSubsetOf0(sk0_25,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f3197,plain,(
% 2.50/0.69 ~aElementOf0(xi,szNzAzT0)|aSubsetOf0(sk0_25,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 2.50/0.69 inference(resolution,[status(thm)],[f470,f455])).
% 2.50/0.69 fof(f3198,plain,(
% 2.50/0.69 ~spl0_81|spl0_295),
% 2.50/0.69 inference(split_clause,[status(thm)],[f3197,f1185,f3194])).
% 2.50/0.69 fof(f3204,plain,(
% 2.50/0.69 spl0_297 <=> sbrdtbr0(sk0_25)=xk),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f3207,plain,(
% 2.50/0.69 ~aElementOf0(xi,szNzAzT0)|sbrdtbr0(sk0_25)=xk),
% 2.50/0.69 inference(resolution,[status(thm)],[f470,f456])).
% 2.50/0.69 fof(f3208,plain,(
% 2.50/0.69 ~spl0_81|spl0_297),
% 2.50/0.69 inference(split_clause,[status(thm)],[f3207,f1185,f3204])).
% 2.50/0.69 fof(f3209,plain,(
% 2.50/0.69 $false|~spl0_1),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f471,f572])).
% 2.50/0.69 fof(f3210,plain,(
% 2.50/0.69 ~spl0_1),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f3209])).
% 2.50/0.69 fof(f3570,plain,(
% 2.50/0.69 isCountable0(slcrc0)|~spl0_136),
% 2.50/0.69 inference(backward_demodulation,[status(thm)],[f1658,f354])).
% 2.50/0.69 fof(f3571,plain,(
% 2.50/0.69 $false|~spl0_136),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3570,f722])).
% 2.50/0.69 fof(f3572,plain,(
% 2.50/0.69 ~spl0_136),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f3571])).
% 2.50/0.69 fof(f3904,plain,(
% 2.50/0.69 aElementOf0(xK,slcrc0)|~spl0_71),
% 2.50/0.69 inference(backward_demodulation,[status(thm)],[f1105,f349])).
% 2.50/0.69 fof(f3905,plain,(
% 2.50/0.69 $false|~spl0_71),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3904,f600])).
% 2.50/0.69 fof(f3906,plain,(
% 2.50/0.69 ~spl0_71),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f3905])).
% 2.50/0.69 fof(f4123,plain,(
% 2.50/0.69 aSet0(slbdtrb0(xi))),
% 2.50/0.69 inference(resolution,[status(thm)],[f468,f616])).
% 2.50/0.69 fof(f4140,plain,(
% 2.50/0.69 aSubsetOf0(slbdtrb0(xi),slbdtrb0(xi))),
% 2.50/0.69 inference(resolution,[status(thm)],[f4123,f126])).
% 2.50/0.69 fof(f4155,plain,(
% 2.50/0.69 spl0_380 <=> aSubsetOf0(slbdtrb0(xi),slbdtrb0(xi))),
% 2.50/0.69 introduced(split_symbol_definition)).
% 2.50/0.69 fof(f4157,plain,(
% 2.50/0.69 ~aSubsetOf0(slbdtrb0(xi),slbdtrb0(xi))|spl0_380),
% 2.50/0.69 inference(component_clause,[status(thm)],[f4155])).
% 2.50/0.69 fof(f4174,plain,(
% 2.50/0.69 $false|spl0_380),
% 2.50/0.69 inference(forward_subsumption_resolution,[status(thm)],[f4157,f4140])).
% 2.50/0.69 fof(f4175,plain,(
% 2.50/0.69 spl0_380),
% 2.50/0.69 inference(contradiction_clause,[status(thm)],[f4174])).
% 2.50/0.69 fof(f4245,plain,(
% 2.50/0.69 ~aSubsetOf0(sk0_25,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~sbrdtbr0(sk0_25)=xk),
% 2.50/0.69 inference(resolution,[status(thm)],[f471,f486])).
% 2.50/0.69 fof(f4246,plain,(
% 2.50/0.69 ~spl0_295|~spl0_297),
% 2.50/0.69 inference(split_clause,[status(thm)],[f4245,f3194,f3204])).
% 2.50/0.69 fof(f4265,plain,(
% 2.50/0.69 $false),
% 2.50/0.69 inference(sat_refutation,[status(thm)],[f1210,f1485,f1487,f1702,f1848,f1935,f2197,f3198,f3208,f3210,f3572,f3906,f4175,f4246])).
% 2.50/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 2.50/0.71 % Elapsed time: 0.376332 seconds
% 2.50/0.71 % CPU time: 2.752758 seconds
% 2.50/0.71 % Total memory used: 101.629 MB
% 2.50/0.71 % Net memory used: 99.901 MB
%------------------------------------------------------------------------------