TSTP Solution File: NUM629+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Wed May 31 12:30:00 EDT 2023
% Result : Theorem 172.41s 22.04s
% Output : CNFRefutation 173.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.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 : Tue May 30 09:46:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 172.41/22.04 % Refutation found
% 172.41/22.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 172.41/22.04 % SZS output start CNFRefutation for theBenchmark
% 172.41/22.04 fof(f5,definition,(
% 172.41/22.04 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 172.41/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.04 fof(f10,definition,(
% 172.41/22.04 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 172.41/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.04 fof(f14,axiom,(
% 172.41/22.04 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 172.41/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.04 fof(f23,axiom,(
% 172.41/22.04 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 172.41/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.04 fof(f24,axiom,(
% 172.41/22.04 aElementOf0(sz00,szNzAzT0) ),
% 172.41/22.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.04 fof(f25,axiom,(
% 172.41/22.04 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f28,axiom,(
% 172.41/22.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> W0 != szszuzczcdt0(W0) ) )),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f42,axiom,(
% 172.41/22.05 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f52,axiom,(
% 172.41/22.05 slbdtrb0(sz00) = slcrc0 ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f73,hypothesis,(
% 172.41/22.05 ( aSet0(xT)& isFinite0(xT) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f74,hypothesis,(
% 172.41/22.05 aElementOf0(xK,szNzAzT0) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f75,hypothesis,(
% 172.41/22.05 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f76,hypothesis,(
% 172.41/22.05 ( 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) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f80,hypothesis,(
% 172.41/22.05 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f81,hypothesis,(
% 172.41/22.05 ( 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))) ) ) ) )) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f82,hypothesis,(
% 172.41/22.05 (! [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)) ) ) )),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f86,hypothesis,(
% 172.41/22.05 ( 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)))) ) ) )) ) )) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f91,hypothesis,(
% 172.41/22.05 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) ))& sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f92,hypothesis,(
% 172.41/22.05 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& ( ( ( (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ))| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )& sbrdtbr0(W1) = xk )| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f93,hypothesis,(
% 172.41/22.05 ( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))<=> (? [W1] :( aElementOf0(W1,szDzozmdt0(xd))& sdtlpdtrp0(xd,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))=> aElementOf0(W0,xT) ))& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f94,hypothesis,(
% 172.41/22.05 ( aElementOf0(szDzizrdt0(xd),xT)& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=> ( aElementOf0(W0,szDzozmdt0(xd))& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) )) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f96,hypothesis,(
% 172.41/22.05 ( aSet0(xO)& isCountable0(xO) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f100,hypothesis,(
% 172.41/22.05 ( (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& ~ ( ~ (? [W0] : aElementOf0(W0,xQ))| xQ = slcrc0 ) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f102,hypothesis,(
% 172.41/22.05 ( (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& aElementOf0(xQ,szDzozmdt0(xc)) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f103,hypothesis,(
% 172.41/22.05 ( aElementOf0(xp,xQ)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(xp,W0) ))& xp = szmzizndt0(xQ) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f104,hypothesis,(
% 172.41/22.05 ( aSet0(xP)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(szmzizndt0(xQ),W0) ))& (! [W0] :( aElementOf0(W0,xP)<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != szmzizndt0(xQ) ) ))& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f111,hypothesis,(
% 172.41/22.05 ( aElementOf0(xn,szDzozmdt0(xd))& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))& aElementOf0(xn,szNzAzT0)& sdtlpdtrp0(xe,xn) = xp ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f113,hypothesis,(
% 172.41/22.05 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ))& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f114,hypothesis,(
% 172.41/22.05 ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xn))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0) ))& aSet0(xD)& (! [W0] :( aElementOf0(W0,xD)<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xn))& W0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ))& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f115,conjecture,(
% 172.41/22.05 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xD) ))| aSubsetOf0(xP,xD)| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ) ),
% 172.41/22.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 172.41/22.05 fof(f116,negated_conjecture,(
% 172.41/22.05 ~(( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xD) ))| aSubsetOf0(xP,xD)| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ) )),
% 172.41/22.05 inference(negated_conjecture,[status(cth)],[f115])).
% 172.41/22.05 fof(f127,plain,(
% 172.41/22.05 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 172.41/22.05 fof(f128,plain,(
% 172.41/22.05 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f127])).
% 172.41/22.05 fof(f129,plain,(
% 172.41/22.05 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f128])).
% 172.41/22.05 fof(f130,plain,(
% 172.41/22.05 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f129])).
% 172.41/22.05 fof(f131,plain,(
% 172.41/22.05 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f130])).
% 172.41/22.05 fof(f132,plain,(
% 172.41/22.05 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f130])).
% 172.41/22.05 fof(f141,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 172.41/22.05 fof(f142,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f141])).
% 172.41/22.05 fof(f143,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f142])).
% 172.41/22.05 fof(f144,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f143])).
% 172.41/22.05 fof(f145,plain,(
% 172.41/22.05 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f144])).
% 172.41/22.05 fof(f155,plain,(
% 172.41/22.05 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 172.41/22.05 fof(f156,plain,(
% 172.41/22.05 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f155])).
% 172.41/22.05 fof(f194,plain,(
% 172.41/22.05 isCountable0(szNzAzT0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f23])).
% 172.41/22.05 fof(f195,plain,(
% 172.41/22.05 aElementOf0(sz00,szNzAzT0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f24])).
% 172.41/22.05 fof(f196,plain,(
% 172.41/22.05 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 172.41/22.05 fof(f197,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f196])).
% 172.41/22.05 fof(f198,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=sz00)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f196])).
% 172.41/22.05 fof(f205,plain,(
% 172.41/22.05 ![W0]: (~aElementOf0(W0,szNzAzT0)|~W0=szszuzczcdt0(W0))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 172.41/22.05 fof(f206,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|~X0=szszuzczcdt0(X0))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f205])).
% 172.41/22.05 fof(f237,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 172.41/22.05 fof(f238,plain,(
% 172.41/22.05 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f237])).
% 172.41/22.05 fof(f240,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f238])).
% 172.41/22.05 fof(f282,plain,(
% 172.41/22.05 slbdtrb0(sz00)=slcrc0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f52])).
% 172.41/22.05 fof(f374,plain,(
% 172.41/22.05 isFinite0(xT)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f73])).
% 172.41/22.05 fof(f375,plain,(
% 172.41/22.05 aElementOf0(xK,szNzAzT0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f74])).
% 172.41/22.05 fof(f376,plain,(
% 172.41/22.05 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 172.41/22.05 fof(f377,plain,(
% 172.41/22.05 aSet0(xS)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f376])).
% 172.41/22.05 fof(f380,plain,(
% 172.41/22.05 isCountable0(xS)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f376])).
% 172.41/22.05 fof(f381,plain,(
% 172.41/22.05 (((((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)),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 172.41/22.05 fof(f382,plain,(
% 172.41/22.05 (((((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)),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f381])).
% 172.41/22.05 fof(f383,plain,(
% 172.41/22.05 (((((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)),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f382])).
% 172.41/22.05 fof(f384,plain,(
% 172.41/22.05 (((((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)),
% 172.41/22.05 inference(skolemization,[status(esa)],[f383])).
% 172.41/22.05 fof(f385,plain,(
% 172.41/22.05 aFunction0(xc)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f384])).
% 172.41/22.05 fof(f393,plain,(
% 172.41/22.05 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f384])).
% 172.41/22.05 fof(f411,plain,(
% 172.41/22.05 aElementOf0(xk,szNzAzT0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f80])).
% 172.41/22.05 fof(f412,plain,(
% 172.41/22.05 szszuzczcdt0(xk)=xK),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f80])).
% 172.41/22.05 fof(f413,plain,(
% 172.41/22.05 ((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)))))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 172.41/22.05 fof(f414,plain,(
% 172.41/22.05 ![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))))),
% 172.41/22.05 introduced(predicate_definition,[f413])).
% 172.41/22.05 fof(f415,plain,(
% 172.41/22.05 ((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)))))))),
% 172.41/22.05 inference(formula_renaming,[status(thm)],[f413,f414])).
% 172.41/22.05 fof(f416,plain,(
% 172.41/22.05 ((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)))))))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f415])).
% 172.41/22.05 fof(f417,plain,(
% 172.41/22.05 ((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)))))))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f416])).
% 172.41/22.05 fof(f418,plain,(
% 172.41/22.05 aFunction0(xN)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f417])).
% 172.41/22.05 fof(f419,plain,(
% 172.41/22.05 szDzozmdt0(xN)=szNzAzT0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f417])).
% 172.41/22.05 fof(f420,plain,(
% 172.41/22.05 sdtlpdtrp0(xN,sz00)=xS),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f417])).
% 172.41/22.05 fof(f430,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|pd0_4(X0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f417])).
% 172.41/22.05 fof(f432,plain,(
% 172.41/22.05 ![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))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 172.41/22.05 fof(f433,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f432])).
% 172.41/22.05 fof(f435,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f432])).
% 172.41/22.05 fof(f436,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|isCountable0(sdtlpdtrp0(xN,X0)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f432])).
% 172.41/22.05 fof(f463,plain,(
% 172.41/22.05 (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))))))))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 172.41/22.05 fof(f464,plain,(
% 172.41/22.05 ![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))))))),
% 172.41/22.05 introduced(predicate_definition,[f463])).
% 172.41/22.05 fof(f465,plain,(
% 172.41/22.05 (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))))))))))),
% 172.41/22.05 inference(formula_renaming,[status(thm)],[f463,f464])).
% 172.41/22.05 fof(f466,plain,(
% 172.41/22.05 (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))))))))))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f465])).
% 172.41/22.05 fof(f467,plain,(
% 172.41/22.05 (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))))))))))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f466])).
% 172.41/22.05 fof(f468,plain,(
% 172.41/22.05 (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))))))))))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f467])).
% 172.41/22.05 fof(f469,plain,(
% 172.41/22.05 aFunction0(xC)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f468])).
% 172.41/22.05 fof(f470,plain,(
% 172.41/22.05 szDzozmdt0(xC)=szNzAzT0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f468])).
% 172.41/22.05 fof(f548,plain,(
% 172.41/22.05 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(sdtlpdtrp0(xe,W0),W1))))&sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0)))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 172.41/22.05 fof(f549,plain,(
% 172.41/22.05 aFunction0(xe)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f548])).
% 172.41/22.05 fof(f550,plain,(
% 172.41/22.05 szDzozmdt0(xe)=szNzAzT0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f548])).
% 172.41/22.05 fof(f554,plain,(
% 172.41/22.05 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))))&~aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 172.41/22.05 fof(f555,plain,(
% 172.41/22.05 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|((((aElementOf0(sk0_32(W1,W0),W1)&~aElementOf0(sk0_32(W1,W0),sdtlpdtrp0(xN,szszuzczcdt0(W0))))&~aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f554])).
% 172.41/22.05 fof(f556,plain,(
% 172.41/22.05 aFunction0(xd)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f555])).
% 172.41/22.05 fof(f557,plain,(
% 172.41/22.05 szDzozmdt0(xd)=szNzAzT0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f555])).
% 172.41/22.05 fof(f562,plain,(
% 172.41/22.05 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))<=>(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0)))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 172.41/22.05 fof(f563,plain,(
% 172.41/22.05 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&(![W0]: ((~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0)))&(aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f562])).
% 172.41/22.05 fof(f564,plain,(
% 172.41/22.05 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xd))&sdtlpdtrp0(xd,W1)=W0))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f563])).
% 172.41/22.05 fof(f565,plain,(
% 172.41/22.05 ((aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(aElementOf0(sk0_33(W0),szDzozmdt0(xd))&sdtlpdtrp0(xd,sk0_33(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 172.41/22.05 inference(skolemization,[status(esa)],[f564])).
% 172.41/22.05 fof(f571,plain,(
% 172.41/22.05 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f565])).
% 172.41/22.05 fof(f572,plain,(
% 172.41/22.05 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&(![W0]: ((~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))&(aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f94])).
% 172.41/22.05 fof(f573,plain,(
% 172.41/22.05 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f572])).
% 172.41/22.05 fof(f574,plain,(
% 172.41/22.05 aElementOf0(szDzizrdt0(xd),xT)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f573])).
% 172.41/22.05 fof(f575,plain,(
% 172.41/22.05 aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f573])).
% 172.41/22.05 fof(f591,plain,(
% 172.41/22.05 aSet0(xO)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f96])).
% 172.41/22.05 fof(f610,plain,(
% 172.41/22.05 (![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO)))&((?[W0]: aElementOf0(W0,xQ))&~xQ=slcrc0)),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 172.41/22.05 fof(f611,plain,(
% 172.41/22.05 (![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO)))&(aElementOf0(sk0_36,xQ)&~xQ=slcrc0)),
% 172.41/22.05 inference(skolemization,[status(esa)],[f610])).
% 172.41/22.05 fof(f614,plain,(
% 172.41/22.05 ~xQ=slcrc0),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f611])).
% 172.41/22.05 fof(f618,plain,(
% 172.41/22.05 ((((![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS)))&aSubsetOf0(xQ,xS))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&aElementOf0(xQ,szDzozmdt0(xc))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f102])).
% 172.41/22.05 fof(f622,plain,(
% 172.41/22.05 aSubsetOf0(xQ,xS)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f618])).
% 172.41/22.05 fof(f623,plain,(
% 172.41/22.05 aElementOf0(xQ,szDzozmdt0(xc))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f618])).
% 172.41/22.05 fof(f624,plain,(
% 172.41/22.05 (aElementOf0(xp,xQ)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(xp,W0))))&xp=szmzizndt0(xQ)),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f103])).
% 172.41/22.05 fof(f625,plain,(
% 172.41/22.05 aElementOf0(xp,xQ)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f624])).
% 172.41/22.05 fof(f627,plain,(
% 172.41/22.05 xp=szmzizndt0(xQ)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f624])).
% 172.41/22.05 fof(f628,plain,(
% 172.41/22.05 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: (aElementOf0(W0,xP)<=>((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 172.41/22.05 fof(f629,plain,(
% 172.41/22.05 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: ((~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))&(aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f628])).
% 172.41/22.05 fof(f630,plain,(
% 172.41/22.05 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&((![W0]: (~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ))))&(![W0]: (aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f629])).
% 172.41/22.05 fof(f634,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xQ))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f630])).
% 172.41/22.05 fof(f635,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,xP)|~X0=szmzizndt0(xQ))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f630])).
% 172.41/22.05 fof(f653,plain,(
% 172.41/22.05 aElementOf0(xn,szNzAzT0)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f111])).
% 172.41/22.05 fof(f656,plain,(
% 172.41/22.05 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 172.41/22.05 fof(f658,plain,(
% 172.41/22.05 aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f656])).
% 172.41/22.05 fof(f659,plain,(
% 172.41/22.05 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&(![W0]: (aElementOf0(W0,xD)<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 172.41/22.05 fof(f660,plain,(
% 172.41/22.05 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&(![W0]: ((~aElementOf0(W0,xD)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn))))&(aElementOf0(W0,xD)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xn)))|W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 172.41/22.05 inference(NNF_transformation,[status(esa)],[f659])).
% 172.41/22.05 fof(f661,plain,(
% 172.41/22.05 (((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xn))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0)))&aSet0(xD))&((![W0]: (~aElementOf0(W0,xD)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xn)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))&(![W0]: (aElementOf0(W0,xD)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xn)))|W0=szmzizndt0(sdtlpdtrp0(xN,xn)))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 172.41/22.05 inference(miniscoping,[status(esa)],[f660])).
% 172.41/22.05 fof(f663,plain,(
% 172.41/22.05 aSet0(xD)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f661])).
% 172.41/22.05 fof(f668,plain,(
% 172.41/22.05 xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f661])).
% 172.41/22.05 fof(f669,plain,(
% 172.41/22.05 (((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xD)))&~aSubsetOf0(xP,xD))&~aElementOf0(xP,slbdtsldtrb0(xD,xk)))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 172.41/22.05 fof(f670,plain,(
% 172.41/22.05 ((aElementOf0(sk0_38,xP)&~aElementOf0(sk0_38,xD))&~aSubsetOf0(xP,xD))&~aElementOf0(xP,slbdtsldtrb0(xD,xk))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f669])).
% 172.41/22.05 fof(f671,plain,(
% 172.41/22.05 aElementOf0(sk0_38,xP)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f670])).
% 172.41/22.05 fof(f673,plain,(
% 172.41/22.05 ~aSubsetOf0(xP,xD)),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f670])).
% 172.41/22.05 fof(f714,plain,(
% 172.41/22.05 ![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))))),
% 172.41/22.05 inference(pre_NNF_transformation,[status(esa)],[f414])).
% 172.41/22.05 fof(f715,plain,(
% 172.41/22.05 ![W0]: (~pd0_4(W0)|(((~aSet0(sdtlpdtrp0(xN,W0))|(aElementOf0(sk0_45(W0),sdtlpdtrp0(xN,W0))&~aElementOf0(sk0_45(W0),szNzAzT0)))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 172.41/22.05 inference(skolemization,[status(esa)],[f714])).
% 172.41/22.05 fof(f718,plain,(
% 172.41/22.05 ![X0]: (~pd0_4(X0)|~aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X0)))),
% 172.41/22.05 inference(cnf_transformation,[status(esa)],[f715])).
% 172.41/22.05 fof(f777,plain,(
% 172.41/22.05 aSet0(slcrc0)),
% 172.41/22.05 inference(destructive_equality_resolution,[status(esa)],[f131])).
% 172.41/22.05 fof(f778,plain,(
% 172.41/22.05 ![X0]: (~aElementOf0(X0,slcrc0))),
% 172.41/22.05 inference(destructive_equality_resolution,[status(esa)],[f132])).
% 172.41/22.05 fof(f789,plain,(
% 172.41/22.05 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 172.41/22.05 inference(destructive_equality_resolution,[status(esa)],[f240])).
% 172.41/22.05 fof(f827,plain,(
% 172.41/22.05 ~aElementOf0(szmzizndt0(xQ),xP)),
% 172.41/22.05 inference(destructive_equality_resolution,[status(esa)],[f635])).
% 172.41/22.05 fof(f910,plain,(
% 172.41/22.05 spl0_15 <=> aSet0(xD)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f912,plain,(
% 172.41/22.05 ~aSet0(xD)|spl0_15),
% 172.41/22.05 inference(component_clause,[status(thm)],[f910])).
% 172.41/22.05 fof(f930,plain,(
% 172.41/22.05 $false|spl0_15),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f912,f663])).
% 172.41/22.05 fof(f931,plain,(
% 172.41/22.05 spl0_15),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f930])).
% 172.41/22.05 fof(f965,plain,(
% 172.41/22.05 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f156,f145])).
% 172.41/22.05 fof(f1079,plain,(
% 172.41/22.05 spl0_30 <=> ~aSet0(X0)|~aSubsetOf0(xP,X0)|~aSubsetOf0(X0,xD)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1080,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|~aSubsetOf0(xP,X0)|~aSubsetOf0(X0,xD)|~spl0_30)),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1079])).
% 172.41/22.05 fof(f1082,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|~aSet0(xD)|~aSubsetOf0(xP,X0)|~aSubsetOf0(X0,xD))),
% 172.41/22.05 inference(resolution,[status(thm)],[f673,f965])).
% 172.41/22.05 fof(f1083,plain,(
% 172.41/22.05 spl0_30|~spl0_15),
% 172.41/22.05 inference(split_clause,[status(thm)],[f1082,f1079,f910])).
% 172.41/22.05 fof(f1091,plain,(
% 172.41/22.05 aElementOf0(sk0_38,xQ)),
% 172.41/22.05 inference(resolution,[status(thm)],[f634,f671])).
% 172.41/22.05 fof(f1507,plain,(
% 172.41/22.05 ~aElementOf0(xp,xP)),
% 172.41/22.05 inference(backward_demodulation,[status(thm)],[f627,f827])).
% 172.41/22.05 fof(f1784,plain,(
% 172.41/22.05 spl0_113 <=> aElementOf0(xn,szNzAzT0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1786,plain,(
% 172.41/22.05 ~aElementOf0(xn,szNzAzT0)|spl0_113),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1784])).
% 172.41/22.05 fof(f1792,plain,(
% 172.41/22.05 $false|spl0_113),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1786,f653])).
% 172.41/22.05 fof(f1793,plain,(
% 172.41/22.05 spl0_113),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f1792])).
% 172.41/22.05 fof(f1837,plain,(
% 172.41/22.05 spl0_121 <=> aElementOf0(xK,szNzAzT0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1839,plain,(
% 172.41/22.05 ~aElementOf0(xK,szNzAzT0)|spl0_121),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1837])).
% 172.41/22.05 fof(f1858,plain,(
% 172.41/22.05 $false|spl0_121),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1839,f375])).
% 172.41/22.05 fof(f1859,plain,(
% 172.41/22.05 spl0_121),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f1858])).
% 172.41/22.05 fof(f1861,plain,(
% 172.41/22.05 spl0_125 <=> aFunction0(xd)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1863,plain,(
% 172.41/22.05 ~aFunction0(xd)|spl0_125),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1861])).
% 172.41/22.05 fof(f1866,plain,(
% 172.41/22.05 spl0_126 <=> aFunction0(xe)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1868,plain,(
% 172.41/22.05 ~aFunction0(xe)|spl0_126),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1866])).
% 172.41/22.05 fof(f1871,plain,(
% 172.41/22.05 spl0_127 <=> aFunction0(xC)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1873,plain,(
% 172.41/22.05 ~aFunction0(xC)|spl0_127),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1871])).
% 172.41/22.05 fof(f1876,plain,(
% 172.41/22.05 spl0_128 <=> aFunction0(xN)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1878,plain,(
% 172.41/22.05 ~aFunction0(xN)|spl0_128),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1876])).
% 172.41/22.05 fof(f1882,plain,(
% 172.41/22.05 spl0_129 <=> aElementOf0(sz00,szNzAzT0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1884,plain,(
% 172.41/22.05 ~aElementOf0(sz00,szNzAzT0)|spl0_129),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1882])).
% 172.41/22.05 fof(f1907,plain,(
% 172.41/22.05 $false|spl0_129),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1884,f195])).
% 172.41/22.05 fof(f1908,plain,(
% 172.41/22.05 spl0_129),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f1907])).
% 172.41/22.05 fof(f1988,plain,(
% 172.41/22.05 spl0_143 <=> ~aSet0(X0)|~aSet0(X0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f1989,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|~aSet0(X0)|~spl0_143)),
% 172.41/22.05 inference(component_clause,[status(thm)],[f1988])).
% 172.41/22.05 fof(f2148,plain,(
% 172.41/22.05 spl0_159 <=> aElementOf0(xp,xQ)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f2150,plain,(
% 172.41/22.05 ~aElementOf0(xp,xQ)|spl0_159),
% 172.41/22.05 inference(component_clause,[status(thm)],[f2148])).
% 172.41/22.05 fof(f2167,plain,(
% 172.41/22.05 spl0_163 <=> sk0_38=szmzizndt0(xQ)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f2168,plain,(
% 172.41/22.05 sk0_38=szmzizndt0(xQ)|~spl0_163),
% 172.41/22.05 inference(component_clause,[status(thm)],[f2167])).
% 172.41/22.05 fof(f2181,plain,(
% 172.41/22.05 spl0_167 <=> xQ=slcrc0),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f2182,plain,(
% 172.41/22.05 xQ=slcrc0|~spl0_167),
% 172.41/22.05 inference(component_clause,[status(thm)],[f2181])).
% 172.41/22.05 fof(f2186,plain,(
% 172.41/22.05 $false|spl0_128),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1878,f418])).
% 172.41/22.05 fof(f2187,plain,(
% 172.41/22.05 spl0_128),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2186])).
% 172.41/22.05 fof(f2188,plain,(
% 172.41/22.05 $false|spl0_127),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1873,f469])).
% 172.41/22.05 fof(f2189,plain,(
% 172.41/22.05 spl0_127),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2188])).
% 172.41/22.05 fof(f2190,plain,(
% 172.41/22.05 $false|spl0_126),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1868,f549])).
% 172.41/22.05 fof(f2191,plain,(
% 172.41/22.05 spl0_126),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2190])).
% 172.41/22.05 fof(f2192,plain,(
% 172.41/22.05 $false|spl0_125),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f1863,f556])).
% 172.41/22.05 fof(f2193,plain,(
% 172.41/22.05 spl0_125),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2192])).
% 172.41/22.05 fof(f2502,plain,(
% 172.41/22.05 spl0_211 <=> ~aSet0(X0)|~aSubsetOf0(xQ,X0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f2503,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|~spl0_211)),
% 172.41/22.05 inference(component_clause,[status(thm)],[f2502])).
% 172.41/22.05 fof(f2602,plain,(
% 172.41/22.05 ![X0]: (~aSet0(X0)|~spl0_143)),
% 172.41/22.05 inference(duplicate_literals_removal,[status(esa)],[f1989])).
% 172.41/22.05 fof(f2631,plain,(
% 172.41/22.05 sk0_38=xp|~spl0_163),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f627,f2168])).
% 172.41/22.05 fof(f2634,plain,(
% 172.41/22.05 aElementOf0(xp,xP)|~spl0_163),
% 172.41/22.05 inference(backward_demodulation,[status(thm)],[f2631,f671])).
% 172.41/22.05 fof(f2635,plain,(
% 172.41/22.05 $false|~spl0_163),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2634,f1507])).
% 172.41/22.05 fof(f2636,plain,(
% 172.41/22.05 ~spl0_163),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2635])).
% 172.41/22.05 fof(f2638,plain,(
% 172.41/22.05 $false|~spl0_143),
% 172.41/22.05 inference(backward_subsumption_resolution,[status(thm)],[f591,f2602])).
% 172.41/22.05 fof(f2639,plain,(
% 172.41/22.05 ~spl0_143),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2638])).
% 172.41/22.05 fof(f2640,plain,(
% 172.41/22.05 $false|~spl0_167),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2182,f614])).
% 172.41/22.05 fof(f2641,plain,(
% 172.41/22.05 ~spl0_167),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2640])).
% 172.41/22.05 fof(f2643,plain,(
% 172.41/22.05 $false|spl0_159),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2150,f625])).
% 172.41/22.05 fof(f2644,plain,(
% 172.41/22.05 spl0_159),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2643])).
% 172.41/22.05 fof(f2806,plain,(
% 172.41/22.05 ~xk=szszuzczcdt0(xk)),
% 172.41/22.05 inference(resolution,[status(thm)],[f206,f411])).
% 172.41/22.05 fof(f2807,plain,(
% 172.41/22.05 ~xk=xK),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f412,f2806])).
% 172.41/22.05 fof(f2944,plain,(
% 172.41/22.05 ~aSet0(xS)|~spl0_211),
% 172.41/22.05 inference(resolution,[status(thm)],[f2503,f622])).
% 172.41/22.05 fof(f2945,plain,(
% 172.41/22.05 $false|~spl0_211),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f2944,f377])).
% 172.41/22.05 fof(f2946,plain,(
% 172.41/22.05 ~spl0_211),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f2945])).
% 172.41/22.05 fof(f3261,plain,(
% 172.41/22.05 ~szszuzczcdt0(xn)=sz00),
% 172.41/22.05 inference(resolution,[status(thm)],[f198,f653])).
% 172.41/22.05 fof(f3266,plain,(
% 172.41/22.05 sbrdtbr0(slcrc0)=sz00),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f789,f777])).
% 172.41/22.05 fof(f3271,plain,(
% 172.41/22.05 spl0_288 <=> aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f3273,plain,(
% 172.41/22.05 ~aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)|spl0_288),
% 172.41/22.05 inference(component_clause,[status(thm)],[f3271])).
% 172.41/22.05 fof(f3286,plain,(
% 172.41/22.05 ~aElementOf0(sz00,szNzAzT0)|spl0_288),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f3266,f3273])).
% 172.41/22.05 fof(f3287,plain,(
% 172.41/22.05 $false|spl0_288),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f3286,f195])).
% 172.41/22.05 fof(f3288,plain,(
% 172.41/22.05 spl0_288),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f3287])).
% 172.41/22.05 fof(f3939,plain,(
% 172.41/22.05 spl0_346 <=> aElementOf0(xp,xP)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f3940,plain,(
% 172.41/22.05 aElementOf0(xp,xP)|~spl0_346),
% 172.41/22.05 inference(component_clause,[status(thm)],[f3939])).
% 172.41/22.05 fof(f3947,plain,(
% 172.41/22.05 $false|~spl0_346),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f3940,f1507])).
% 172.41/22.05 fof(f3948,plain,(
% 172.41/22.05 ~spl0_346),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f3947])).
% 172.41/22.05 fof(f4318,plain,(
% 172.41/22.05 spl0_371 <=> slbdtsldtrb0(xS,xK)=slcrc0),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f4319,plain,(
% 172.41/22.05 slbdtsldtrb0(xS,xK)=slcrc0|~spl0_371),
% 172.41/22.05 inference(component_clause,[status(thm)],[f4318])).
% 172.41/22.05 fof(f4631,plain,(
% 172.41/22.05 szDzozmdt0(xc)=slcrc0|~spl0_371),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f393,f4319])).
% 172.41/22.05 fof(f5675,plain,(
% 172.41/22.05 aElementOf0(xQ,slcrc0)|~spl0_371),
% 172.41/22.05 inference(backward_demodulation,[status(thm)],[f4631,f623])).
% 172.41/22.05 fof(f5676,plain,(
% 172.41/22.05 $false|~spl0_371),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f5675,f778])).
% 172.41/22.05 fof(f5677,plain,(
% 172.41/22.05 ~spl0_371),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f5676])).
% 172.41/22.05 fof(f6843,plain,(
% 172.41/22.05 spl0_613 <=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f6845,plain,(
% 172.41/22.05 ~aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))|spl0_613),
% 172.41/22.05 inference(component_clause,[status(thm)],[f6843])).
% 172.41/22.05 fof(f6861,plain,(
% 172.41/22.05 ~aSet0(xD)|spl0_613),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f668,f6845])).
% 172.41/22.05 fof(f6862,plain,(
% 172.41/22.05 $false|spl0_613),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f6861,f663])).
% 172.41/22.05 fof(f6863,plain,(
% 172.41/22.05 spl0_613),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f6862])).
% 172.41/22.05 fof(f6971,plain,(
% 172.41/22.05 spl0_633 <=> aSet0(slbdtrb0(sz00))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f6973,plain,(
% 172.41/22.05 ~aSet0(slbdtrb0(sz00))|spl0_633),
% 172.41/22.05 inference(component_clause,[status(thm)],[f6971])).
% 172.41/22.05 fof(f6984,plain,(
% 172.41/22.05 ~aSet0(slcrc0)|spl0_633),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f282,f6973])).
% 172.41/22.05 fof(f6985,plain,(
% 172.41/22.05 $false|spl0_633),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f6984,f777])).
% 172.41/22.05 fof(f6986,plain,(
% 172.41/22.05 spl0_633),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f6985])).
% 172.41/22.05 fof(f7384,plain,(
% 172.41/22.05 spl0_687 <=> isFinite0(xT)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f7386,plain,(
% 172.41/22.05 ~isFinite0(xT)|spl0_687),
% 172.41/22.05 inference(component_clause,[status(thm)],[f7384])).
% 172.41/22.05 fof(f7479,plain,(
% 172.41/22.05 $false|spl0_687),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7386,f374])).
% 172.41/22.05 fof(f7480,plain,(
% 172.41/22.05 spl0_687),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f7479])).
% 172.41/22.05 fof(f7502,plain,(
% 172.41/22.05 aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f557,f571])).
% 172.41/22.05 fof(f7587,plain,(
% 172.41/22.05 spl0_720 <=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f7589,plain,(
% 172.41/22.05 ~aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))|spl0_720),
% 172.41/22.05 inference(component_clause,[status(thm)],[f7587])).
% 172.41/22.05 fof(f7595,plain,(
% 172.41/22.05 $false|spl0_720),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7589,f575])).
% 172.41/22.05 fof(f7596,plain,(
% 172.41/22.05 spl0_720),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f7595])).
% 172.41/22.05 fof(f7600,plain,(
% 172.41/22.05 spl0_722 <=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f7602,plain,(
% 172.41/22.05 ~aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))|spl0_722),
% 172.41/22.05 inference(component_clause,[status(thm)],[f7600])).
% 172.41/22.05 fof(f7609,plain,(
% 172.41/22.05 spl0_724 <=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f7612,plain,(
% 172.41/22.05 ~aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))|~aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)|~spl0_30),
% 172.41/22.05 inference(resolution,[status(thm)],[f658,f1080])).
% 172.41/22.05 fof(f7613,plain,(
% 172.41/22.05 ~spl0_722|~spl0_724|~spl0_30),
% 172.41/22.05 inference(split_clause,[status(thm)],[f7612,f7600,f7609,f1079])).
% 172.41/22.05 fof(f7751,plain,(
% 172.41/22.05 spl0_745 <=> xk=xK),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f7752,plain,(
% 172.41/22.05 xk=xK|~spl0_745),
% 172.41/22.05 inference(component_clause,[status(thm)],[f7751])).
% 172.41/22.05 fof(f7791,plain,(
% 172.41/22.05 ~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|spl0_722),
% 172.41/22.05 inference(resolution,[status(thm)],[f7602,f433])).
% 172.41/22.05 fof(f7792,plain,(
% 172.41/22.05 ~aElementOf0(xn,szNzAzT0)|spl0_722),
% 172.41/22.05 inference(resolution,[status(thm)],[f7791,f197])).
% 172.41/22.05 fof(f7793,plain,(
% 172.41/22.05 ~spl0_113|spl0_722),
% 172.41/22.05 inference(split_clause,[status(thm)],[f7792,f1784,f7600])).
% 172.41/22.05 fof(f8150,plain,(
% 172.41/22.05 spl0_803 <=> aElementOf0(szszuzczcdt0(xk),szNzAzT0)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f8152,plain,(
% 172.41/22.05 ~aElementOf0(szszuzczcdt0(xk),szNzAzT0)|spl0_803),
% 172.41/22.05 inference(component_clause,[status(thm)],[f8150])).
% 172.41/22.05 fof(f8156,plain,(
% 172.41/22.05 spl0_805 <=> szszuzczcdt0(xk)=xk),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f8157,plain,(
% 172.41/22.05 szszuzczcdt0(xk)=xk|~spl0_805),
% 172.41/22.05 inference(component_clause,[status(thm)],[f8156])).
% 172.41/22.05 fof(f8163,plain,(
% 172.41/22.05 ~aElementOf0(xK,szNzAzT0)|spl0_803),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f412,f8152])).
% 172.41/22.05 fof(f8164,plain,(
% 172.41/22.05 $false|spl0_803),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f8163,f375])).
% 172.41/22.05 fof(f8165,plain,(
% 172.41/22.05 spl0_803),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f8164])).
% 172.41/22.05 fof(f11029,plain,(
% 172.41/22.05 spl0_1055 <=> xT=slcrc0),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f11030,plain,(
% 172.41/22.05 xT=slcrc0|~spl0_1055),
% 172.41/22.05 inference(component_clause,[status(thm)],[f11029])).
% 172.41/22.05 fof(f11086,plain,(
% 172.41/22.05 spl0_1065 <=> xK=szszuzczcdt0(xk)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f11088,plain,(
% 172.41/22.05 ~xK=szszuzczcdt0(xk)|spl0_1065),
% 172.41/22.05 inference(component_clause,[status(thm)],[f11086])).
% 172.41/22.05 fof(f11167,plain,(
% 172.41/22.05 ~xK=xK|spl0_1065),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f412,f11088])).
% 172.41/22.05 fof(f11168,plain,(
% 172.41/22.05 $false|spl0_1065),
% 172.41/22.05 inference(trivial_equality_resolution,[status(esa)],[f11167])).
% 172.41/22.05 fof(f11169,plain,(
% 172.41/22.05 spl0_1065),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f11168])).
% 172.41/22.05 fof(f11170,plain,(
% 172.41/22.05 spl0_1084 <=> szszuzczcdt0(xn)=sz00),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f11171,plain,(
% 172.41/22.05 szszuzczcdt0(xn)=sz00|~spl0_1084),
% 172.41/22.05 inference(component_clause,[status(thm)],[f11170])).
% 172.41/22.05 fof(f11294,plain,(
% 172.41/22.05 $false|~spl0_1084),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f11171,f3261])).
% 172.41/22.05 fof(f11295,plain,(
% 172.41/22.05 ~spl0_1084),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f11294])).
% 172.41/22.05 fof(f11929,plain,(
% 172.41/22.05 spl0_1191 <=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f11931,plain,(
% 172.41/22.05 ~aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)|spl0_1191),
% 172.41/22.05 inference(component_clause,[status(thm)],[f11929])).
% 172.41/22.05 fof(f11934,plain,(
% 172.41/22.05 $false|spl0_1191),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f11931,f7502])).
% 172.41/22.05 fof(f11935,plain,(
% 172.41/22.05 spl0_1191),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f11934])).
% 172.41/22.05 fof(f12111,plain,(
% 172.41/22.05 $false|~spl0_745),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f7752,f2807])).
% 172.41/22.05 fof(f12112,plain,(
% 172.41/22.05 ~spl0_745),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f12111])).
% 172.41/22.05 fof(f12170,plain,(
% 172.41/22.05 aElementOf0(szDzizrdt0(xd),slcrc0)|~spl0_1055),
% 172.41/22.05 inference(backward_demodulation,[status(thm)],[f11030,f574])).
% 172.41/22.05 fof(f12171,plain,(
% 172.41/22.05 $false|~spl0_1055),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f12170,f778])).
% 172.41/22.05 fof(f12172,plain,(
% 172.41/22.05 ~spl0_1055),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f12171])).
% 172.41/22.05 fof(f12289,plain,(
% 172.41/22.05 xK=xk|~spl0_805),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f412,f8157])).
% 172.41/22.05 fof(f12290,plain,(
% 172.41/22.05 $false|~spl0_805),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f12289,f2807])).
% 172.41/22.05 fof(f12291,plain,(
% 172.41/22.05 ~spl0_805),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f12290])).
% 172.41/22.05 fof(f13796,plain,(
% 172.41/22.05 spl0_1332 <=> aElementOf0(sk0_38,xQ)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f13798,plain,(
% 172.41/22.05 ~aElementOf0(sk0_38,xQ)|spl0_1332),
% 172.41/22.05 inference(component_clause,[status(thm)],[f13796])).
% 172.41/22.05 fof(f13801,plain,(
% 172.41/22.05 $false|spl0_1332),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f13798,f1091])).
% 172.41/22.05 fof(f13802,plain,(
% 172.41/22.05 spl0_1332),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f13801])).
% 172.41/22.05 fof(f17264,plain,(
% 172.41/22.05 spl0_1688 <=> aFunction0(xc)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f17266,plain,(
% 172.41/22.05 ~aFunction0(xc)|spl0_1688),
% 172.41/22.05 inference(component_clause,[status(thm)],[f17264])).
% 172.41/22.05 fof(f17300,plain,(
% 172.41/22.05 $false|spl0_1688),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f17266,f385])).
% 172.41/22.05 fof(f17301,plain,(
% 172.41/22.05 spl0_1688),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f17300])).
% 172.41/22.05 fof(f19150,plain,(
% 172.41/22.05 spl0_1865 <=> aElementOf0(sz00,szDzozmdt0(xN))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f19152,plain,(
% 172.41/22.05 ~aElementOf0(sz00,szDzozmdt0(xN))|spl0_1865),
% 172.41/22.05 inference(component_clause,[status(thm)],[f19150])).
% 172.41/22.05 fof(f19158,plain,(
% 172.41/22.05 spl0_1867 <=> aElementOf0(xn,szDzozmdt0(xe))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f19160,plain,(
% 172.41/22.05 ~aElementOf0(xn,szDzozmdt0(xe))|spl0_1867),
% 172.41/22.05 inference(component_clause,[status(thm)],[f19158])).
% 172.41/22.05 fof(f19176,plain,(
% 172.41/22.05 ~aElementOf0(sz00,szNzAzT0)|spl0_1865),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f419,f19152])).
% 172.41/22.05 fof(f19177,plain,(
% 172.41/22.05 $false|spl0_1865),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f19176,f195])).
% 172.41/22.05 fof(f19178,plain,(
% 172.41/22.05 spl0_1865),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f19177])).
% 172.41/22.05 fof(f19179,plain,(
% 172.41/22.05 ~aElementOf0(xn,szNzAzT0)|spl0_1867),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f550,f19160])).
% 172.41/22.05 fof(f19180,plain,(
% 172.41/22.05 $false|spl0_1867),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f19179,f653])).
% 172.41/22.05 fof(f19181,plain,(
% 172.41/22.05 spl0_1867),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f19180])).
% 172.41/22.05 fof(f19563,plain,(
% 172.41/22.05 spl0_1920 <=> aElementOf0(xk,szDzozmdt0(xe))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f19565,plain,(
% 172.41/22.05 ~aElementOf0(xk,szDzozmdt0(xe))|spl0_1920),
% 172.41/22.05 inference(component_clause,[status(thm)],[f19563])).
% 172.41/22.05 fof(f19568,plain,(
% 172.41/22.05 ~aElementOf0(xk,szNzAzT0)|spl0_1920),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f550,f19565])).
% 172.41/22.05 fof(f19569,plain,(
% 172.41/22.05 $false|spl0_1920),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f19568,f411])).
% 172.41/22.05 fof(f19570,plain,(
% 172.41/22.05 spl0_1920),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f19569])).
% 172.41/22.05 fof(f21161,plain,(
% 172.41/22.05 spl0_2143 <=> pd0_4(xk)),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f21162,plain,(
% 172.41/22.05 pd0_4(xk)|~spl0_2143),
% 172.41/22.05 inference(component_clause,[status(thm)],[f21161])).
% 172.41/22.05 fof(f25800,plain,(
% 172.41/22.05 ![X0]: (~pd0_4(X0)|~isCountable0(sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0))),
% 172.41/22.05 inference(resolution,[status(thm)],[f718,f435])).
% 172.41/22.05 fof(f25801,plain,(
% 172.41/22.05 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,szNzAzT0))),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f25800,f436])).
% 172.41/22.05 fof(f25805,plain,(
% 172.41/22.05 spl0_2734 <=> isCountable0(sdtlpdtrp0(xN,sz00))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f25807,plain,(
% 172.41/22.05 ~isCountable0(sdtlpdtrp0(xN,sz00))|spl0_2734),
% 172.41/22.05 inference(component_clause,[status(thm)],[f25805])).
% 172.41/22.05 fof(f25810,plain,(
% 172.41/22.05 ~isCountable0(xS)|spl0_2734),
% 172.41/22.05 inference(forward_demodulation,[status(thm)],[f420,f25807])).
% 172.41/22.05 fof(f25811,plain,(
% 172.41/22.05 $false|spl0_2734),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f25810,f380])).
% 172.41/22.05 fof(f25812,plain,(
% 172.41/22.05 spl0_2734),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f25811])).
% 172.41/22.05 fof(f25887,plain,(
% 172.41/22.05 ~pd0_4(xk)),
% 172.41/22.05 inference(resolution,[status(thm)],[f25801,f411])).
% 172.41/22.05 fof(f25888,plain,(
% 172.41/22.05 $false|~spl0_2143),
% 172.41/22.05 inference(forward_subsumption_resolution,[status(thm)],[f25887,f21162])).
% 172.41/22.05 fof(f25889,plain,(
% 172.41/22.05 ~spl0_2143),
% 172.41/22.05 inference(contradiction_clause,[status(thm)],[f25888])).
% 172.41/22.05 fof(f25911,plain,(
% 172.41/22.05 spl0_2751 <=> isCountable0(szDzozmdt0(xN))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f25913,plain,(
% 172.41/22.05 ~isCountable0(szDzozmdt0(xN))|spl0_2751),
% 172.41/22.05 inference(component_clause,[status(thm)],[f25911])).
% 172.41/22.05 fof(f25922,plain,(
% 172.41/22.05 spl0_2754 <=> isCountable0(szDzozmdt0(xC))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f25924,plain,(
% 172.41/22.05 ~isCountable0(szDzozmdt0(xC))|spl0_2754),
% 172.41/22.05 inference(component_clause,[status(thm)],[f25922])).
% 172.41/22.05 fof(f25933,plain,(
% 172.41/22.05 spl0_2757 <=> isCountable0(szDzozmdt0(xe))),
% 172.41/22.05 introduced(split_symbol_definition)).
% 172.41/22.05 fof(f25935,plain,(
% 172.41/22.05 ~isCountable0(szDzozmdt0(xe))|spl0_2757),
% 172.41/22.05 inference(component_clause,[status(thm)],[f25933])).
% 172.41/22.05 fof(f25944,plain,(
% 172.41/22.05 spl0_2760 <=> isCountable0(szDzozmdt0(xd))),
% 173.01/22.12 introduced(split_symbol_definition)).
% 173.01/22.12 fof(f25946,plain,(
% 173.01/22.12 ~isCountable0(szDzozmdt0(xd))|spl0_2760),
% 173.01/22.12 inference(component_clause,[status(thm)],[f25944])).
% 173.01/22.12 fof(f25949,plain,(
% 173.01/22.12 ~isCountable0(szNzAzT0)|spl0_2760),
% 173.01/22.12 inference(forward_demodulation,[status(thm)],[f557,f25946])).
% 173.01/22.12 fof(f25950,plain,(
% 173.01/22.12 $false|spl0_2760),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f25949,f194])).
% 173.01/22.12 fof(f25951,plain,(
% 173.01/22.12 spl0_2760),
% 173.01/22.12 inference(contradiction_clause,[status(thm)],[f25950])).
% 173.01/22.12 fof(f25952,plain,(
% 173.01/22.12 ~isCountable0(szNzAzT0)|spl0_2757),
% 173.01/22.12 inference(forward_demodulation,[status(thm)],[f550,f25935])).
% 173.01/22.12 fof(f25953,plain,(
% 173.01/22.12 $false|spl0_2757),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f25952,f194])).
% 173.01/22.12 fof(f25954,plain,(
% 173.01/22.12 spl0_2757),
% 173.01/22.12 inference(contradiction_clause,[status(thm)],[f25953])).
% 173.01/22.12 fof(f25955,plain,(
% 173.01/22.12 ~isCountable0(szNzAzT0)|spl0_2754),
% 173.01/22.12 inference(forward_demodulation,[status(thm)],[f470,f25924])).
% 173.01/22.12 fof(f25956,plain,(
% 173.01/22.12 $false|spl0_2754),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f25955,f194])).
% 173.01/22.12 fof(f25957,plain,(
% 173.01/22.12 spl0_2754),
% 173.01/22.12 inference(contradiction_clause,[status(thm)],[f25956])).
% 173.01/22.12 fof(f25958,plain,(
% 173.01/22.12 ~isCountable0(szNzAzT0)|spl0_2751),
% 173.01/22.12 inference(forward_demodulation,[status(thm)],[f419,f25913])).
% 173.01/22.12 fof(f25959,plain,(
% 173.01/22.12 $false|spl0_2751),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f25958,f194])).
% 173.01/22.12 fof(f25960,plain,(
% 173.01/22.12 spl0_2751),
% 173.01/22.12 inference(contradiction_clause,[status(thm)],[f25959])).
% 173.01/22.12 fof(f27457,plain,(
% 173.01/22.12 spl0_2853 <=> aSet0(sdtlpdtrp0(xN,sz00))),
% 173.01/22.12 introduced(split_symbol_definition)).
% 173.01/22.12 fof(f27459,plain,(
% 173.01/22.12 ~aSet0(sdtlpdtrp0(xN,sz00))|spl0_2853),
% 173.01/22.12 inference(component_clause,[status(thm)],[f27457])).
% 173.01/22.12 fof(f28451,plain,(
% 173.01/22.12 ~aSet0(xS)|spl0_2853),
% 173.01/22.12 inference(forward_demodulation,[status(thm)],[f420,f27459])).
% 173.01/22.12 fof(f28452,plain,(
% 173.01/22.12 $false|spl0_2853),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f28451,f377])).
% 173.01/22.12 fof(f28453,plain,(
% 173.01/22.12 spl0_2853),
% 173.01/22.12 inference(contradiction_clause,[status(thm)],[f28452])).
% 173.01/22.12 fof(f30004,plain,(
% 173.01/22.12 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 173.01/22.12 inference(forward_subsumption_resolution,[status(thm)],[f430,f25801])).
% 173.01/22.12 fof(f30052,plain,(
% 173.01/22.12 ~aElementOf0(xn,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 173.01/22.12 inference(paramodulation,[status(thm)],[f668,f30004])).
% 173.01/22.12 fof(f30053,plain,(
% 173.01/22.12 ~spl0_113|spl0_724),
% 173.01/22.12 inference(split_clause,[status(thm)],[f30052,f1784,f7609])).
% 173.01/22.12 fof(f30064,plain,(
% 173.01/22.12 $false),
% 173.01/22.12 inference(sat_refutation,[status(thm)],[f931,f1083,f1793,f1859,f1908,f2187,f2189,f2191,f2193,f2636,f2639,f2641,f2644,f2946,f3288,f3948,f5677,f6863,f6986,f7480,f7596,f7613,f7793,f8165,f11169,f11295,f11935,f12112,f12172,f12291,f13802,f17301,f19178,f19181,f19570,f25812,f25889,f25951,f25954,f25957,f25960,f28453,f30053])).
% 173.01/22.12 % SZS output end CNFRefutation for theBenchmark.p
% 173.41/22.19 % Elapsed time: 21.825240 seconds
% 173.41/22.19 % CPU time: 173.162637 seconds
% 173.41/22.19 % Memory used: 415.633 MB
%------------------------------------------------------------------------------