TSTP Solution File: NUM591+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM591+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:35:16 EDT 2024
% Result : Theorem 70.42s 9.26s
% Output : CNFRefutation 70.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM591+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 20:43:34 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 70.42/9.26 % Refutation found
% 70.42/9.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 70.42/9.26 % SZS output start CNFRefutation for theBenchmark
% 70.42/9.26 fof(f5,definition,(
% 70.42/9.26 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f10,definition,(
% 70.42/9.26 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f12,axiom,(
% 70.42/9.26 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f14,axiom,(
% 70.42/9.26 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f23,axiom,(
% 70.42/9.26 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f24,axiom,(
% 70.42/9.26 aElementOf0(sz00,szNzAzT0) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f39,axiom,(
% 70.42/9.26 (! [W0] :( aElementOf0(W0,szNzAzT0)=> iLess0(W0,szszuzczcdt0(W0)) ) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f42,axiom,(
% 70.42/9.26 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f50,definition,(
% 70.42/9.26 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f52,axiom,(
% 70.42/9.26 slbdtrb0(sz00) = slcrc0 ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f57,definition,(
% 70.42/9.26 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f68,definition,(
% 70.42/9.26 (! [W0] :( aFunction0(W0)=> (! [W1] :( aSubsetOf0(W1,szDzozmdt0(W0))=> (! [W2] :( W2 = sdtlcdtrc0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> (? [W4] :( aElementOf0(W4,W1)& sdtlpdtrp0(W0,W4) = W3 ) )) )) ) )) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f73,hypothesis,(
% 70.42/9.26 ( aSet0(xT)& isFinite0(xT) ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f74,hypothesis,(
% 70.42/9.26 aElementOf0(xK,szNzAzT0) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f75,hypothesis,(
% 70.42/9.26 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f76,hypothesis,(
% 70.42/9.26 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f77,hypothesis,(
% 70.42/9.26 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSubsetOf0(W1,szNzAzT0)& isCountable0(W1) )=> (! [W2] :( ( aFunction0(W2)& szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)& aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )=> ( iLess0(W0,xK)=> (? [W3] :( aElementOf0(W3,xT)& (? [W4] :( aSubsetOf0(W4,W1)& isCountable0(W4)& (! [W5] :( aElementOf0(W5,slbdtsldtrb0(W4,W0))=> sdtlpdtrp0(W2,W5) = W3 ) )) )) )) ) )) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f78,hypothesis,(
% 70.42/9.26 xK != sz00 ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f80,hypothesis,(
% 70.42/9.26 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f81,hypothesis,(
% 70.42/9.26 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f86,hypothesis,(
% 70.42/9.26 ( aFunction0(xC)& szDzozmdt0(xC) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aFunction0(sdtlpdtrp0(xC,W0))& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)& (! [W1] :( ( aSet0(W1)& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )) ) )) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f90,hypothesis,(
% 70.42/9.26 aElementOf0(xi,szNzAzT0) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f92,hypothesis,(
% 70.42/9.26 ( aSubsetOf0(xY,szNzAzT0)& isCountable0(xY)& aFunction0(xd)& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ) ),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f93,conjecture,(
% 70.42/9.26 (? [W0,W1] :( aElementOf0(W0,xT)& aSubsetOf0(W1,xY)& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(xd,W2) = W0 ) )) )),
% 70.42/9.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 70.42/9.26 fof(f94,negated_conjecture,(
% 70.42/9.26 ~((? [W0,W1] :( aElementOf0(W0,xT)& aSubsetOf0(W1,xY)& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(xd,W2) = W0 ) )) ))),
% 70.42/9.26 inference(negated_conjecture,[status(cth)],[f93])).
% 70.42/9.26 fof(f105,plain,(
% 70.42/9.26 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 70.42/9.26 fof(f106,plain,(
% 70.42/9.26 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f105])).
% 70.42/9.26 fof(f107,plain,(
% 70.42/9.26 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 70.42/9.26 inference(miniscoping,[status(esa)],[f106])).
% 70.42/9.26 fof(f108,plain,(
% 70.42/9.26 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f107])).
% 70.42/9.26 fof(f109,plain,(
% 70.42/9.26 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f108])).
% 70.42/9.26 fof(f119,plain,(
% 70.42/9.26 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 70.42/9.26 fof(f120,plain,(
% 70.42/9.26 ![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))))))))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f119])).
% 70.42/9.26 fof(f121,plain,(
% 70.42/9.26 ![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))))))))),
% 70.42/9.26 inference(miniscoping,[status(esa)],[f120])).
% 70.42/9.26 fof(f122,plain,(
% 70.42/9.26 ![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)))))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f121])).
% 70.42/9.26 fof(f123,plain,(
% 70.42/9.26 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f122])).
% 70.42/9.26 fof(f129,plain,(
% 70.42/9.26 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 70.42/9.26 fof(f130,plain,(
% 70.42/9.26 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f129])).
% 70.42/9.26 fof(f133,plain,(
% 70.42/9.26 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 70.42/9.26 fof(f134,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f133])).
% 70.42/9.26 fof(f171,plain,(
% 70.42/9.26 aSet0(szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f23])).
% 70.42/9.26 fof(f172,plain,(
% 70.42/9.26 isCountable0(szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f23])).
% 70.42/9.26 fof(f173,plain,(
% 70.42/9.26 aElementOf0(sz00,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f24])).
% 70.42/9.26 fof(f207,plain,(
% 70.42/9.26 ![W0]: (~aElementOf0(W0,szNzAzT0)|iLess0(W0,szszuzczcdt0(W0)))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 70.42/9.26 fof(f208,plain,(
% 70.42/9.26 ![X0]: (~aElementOf0(X0,szNzAzT0)|iLess0(X0,szszuzczcdt0(X0)))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f207])).
% 70.42/9.26 fof(f215,plain,(
% 70.42/9.26 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 70.42/9.26 fof(f216,plain,(
% 70.42/9.26 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f215])).
% 70.42/9.26 fof(f218,plain,(
% 70.42/9.26 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f216])).
% 70.42/9.26 fof(f247,plain,(
% 70.42/9.26 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 70.42/9.26 fof(f248,plain,(
% 70.42/9.26 ![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))))))))))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f247])).
% 70.42/9.26 fof(f249,plain,(
% 70.42/9.26 ![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))))))))))),
% 70.42/9.26 inference(miniscoping,[status(esa)],[f248])).
% 70.42/9.26 fof(f250,plain,(
% 70.42/9.26 ![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)))))))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f249])).
% 70.42/9.26 fof(f251,plain,(
% 70.42/9.26 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f250])).
% 70.42/9.26 fof(f260,plain,(
% 70.42/9.26 slbdtrb0(sz00)=slcrc0),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f52])).
% 70.42/9.26 fof(f276,plain,(
% 70.42/9.26 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 70.42/9.26 fof(f277,plain,(
% 70.42/9.26 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f276])).
% 70.42/9.26 fof(f278,plain,(
% 70.42/9.26 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 70.42/9.26 inference(miniscoping,[status(esa)],[f277])).
% 70.42/9.26 fof(f279,plain,(
% 70.42/9.26 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aSubsetOf0(sk0_10(W2,W1,W0),W0)|~sbrdtbr0(sk0_10(W2,W1,W0))=W1))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aSubsetOf0(sk0_10(W2,W1,W0),W0)&sbrdtbr0(sk0_10(W2,W1,W0))=W1))))))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f278])).
% 70.42/9.26 fof(f280,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f279])).
% 70.42/9.26 fof(f320,plain,(
% 70.42/9.26 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: (W2=sdtlcdtrc0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 70.42/9.26 fof(f321,plain,(
% 70.42/9.26 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: ((~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))))))&(W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 70.42/9.26 inference(NNF_transformation,[status(esa)],[f320])).
% 70.42/9.26 fof(f322,plain,(
% 70.42/9.26 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 70.42/9.26 inference(miniscoping,[status(esa)],[f321])).
% 70.42/9.26 fof(f323,plain,(
% 70.42/9.26 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElementOf0(sk0_13(W3,W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_13(W3,W2,W1,W0))=W3)))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_14(W2,W1,W0),W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=sk0_14(W2,W1,W0))))&(aElementOf0(sk0_14(W2,W1,W0),W2)|(aElementOf0(sk0_15(W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_15(W2,W1,W0))=sk0_14(W2,W1,W0)))))))))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f322])).
% 70.42/9.26 fof(f324,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|aSet0(X2))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f323])).
% 70.42/9.26 fof(f351,plain,(
% 70.42/9.26 aSet0(xT)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f73])).
% 70.42/9.26 fof(f353,plain,(
% 70.42/9.26 aElementOf0(xK,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f74])).
% 70.42/9.26 fof(f354,plain,(
% 70.42/9.26 aSubsetOf0(xS,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f75])).
% 70.42/9.26 fof(f355,plain,(
% 70.42/9.26 isCountable0(xS)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f75])).
% 70.42/9.26 fof(f356,plain,(
% 70.42/9.26 aFunction0(xc)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f76])).
% 70.42/9.26 fof(f359,plain,(
% 70.42/9.26 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSubsetOf0(W1,szNzAzT0)|~isCountable0(W1))|(![W2]: (((~aFunction0(W2)|~szDzozmdt0(W2)=slbdtsldtrb0(W1,W0))|~aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT))|(~iLess0(W0,xK)|(?[W3]: (aElementOf0(W3,xT)&(?[W4]: ((aSubsetOf0(W4,W1)&isCountable0(W4))&(![W5]: (~aElementOf0(W5,slbdtsldtrb0(W4,W0))|sdtlpdtrp0(W2,W5)=W3))))))))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 70.42/9.26 fof(f360,plain,(
% 70.42/9.26 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSubsetOf0(W1,szNzAzT0)|~isCountable0(W1))|(![W2]: (((~aFunction0(W2)|~szDzozmdt0(W2)=slbdtsldtrb0(W1,W0))|~aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT))|(~iLess0(W0,xK)|(aElementOf0(sk0_19(W2,W1,W0),xT)&((aSubsetOf0(sk0_20(W2,W1,W0),W1)&isCountable0(sk0_20(W2,W1,W0)))&(![W5]: (~aElementOf0(W5,slbdtsldtrb0(sk0_20(W2,W1,W0),W0))|sdtlpdtrp0(W2,W5)=sk0_19(W2,W1,W0)))))))))))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f359])).
% 70.42/9.26 fof(f361,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~aFunction0(X2)|~szDzozmdt0(X2)=slbdtsldtrb0(X1,X0)|~aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)|~iLess0(X0,xK)|aElementOf0(sk0_19(X2,X1,X0),xT))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f360])).
% 70.42/9.26 fof(f362,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~aFunction0(X2)|~szDzozmdt0(X2)=slbdtsldtrb0(X1,X0)|~aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)|~iLess0(X0,xK)|aSubsetOf0(sk0_20(X2,X1,X0),X1))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f360])).
% 70.42/9.26 fof(f363,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~aFunction0(X2)|~szDzozmdt0(X2)=slbdtsldtrb0(X1,X0)|~aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)|~iLess0(X0,xK)|isCountable0(sk0_20(X2,X1,X0)))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f360])).
% 70.42/9.26 fof(f364,plain,(
% 70.42/9.26 ![X0,X1,X2,X3]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~aFunction0(X2)|~szDzozmdt0(X2)=slbdtsldtrb0(X1,X0)|~aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)|~iLess0(X0,xK)|~aElementOf0(X3,slbdtsldtrb0(sk0_20(X2,X1,X0),X0))|sdtlpdtrp0(X2,X3)=sk0_19(X2,X1,X0))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f360])).
% 70.42/9.26 fof(f365,plain,(
% 70.42/9.26 ~xK=sz00),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f78])).
% 70.42/9.26 fof(f367,plain,(
% 70.42/9.26 aElementOf0(xk,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f80])).
% 70.42/9.26 fof(f368,plain,(
% 70.42/9.26 szszuzczcdt0(xk)=xK),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f80])).
% 70.42/9.26 fof(f369,plain,(
% 70.42/9.26 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 70.42/9.26 fof(f371,plain,(
% 70.42/9.26 szDzozmdt0(xN)=szNzAzT0),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f369])).
% 70.42/9.26 fof(f372,plain,(
% 70.42/9.26 sdtlpdtrp0(xN,sz00)=xS),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f369])).
% 70.42/9.26 fof(f384,plain,(
% 70.42/9.26 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((aFunction0(sdtlpdtrp0(xC,W0))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|~aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)))|sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))))))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 70.42/9.26 fof(f386,plain,(
% 70.42/9.26 szDzozmdt0(xC)=szNzAzT0),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f384])).
% 70.42/9.26 fof(f395,plain,(
% 70.42/9.26 aElementOf0(xi,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f90])).
% 70.42/9.26 fof(f398,plain,(
% 70.42/9.26 aSubsetOf0(xY,szNzAzT0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f92])).
% 70.42/9.26 fof(f399,plain,(
% 70.42/9.26 isCountable0(xY)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f92])).
% 70.42/9.26 fof(f400,plain,(
% 70.42/9.26 aFunction0(xd)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f92])).
% 70.42/9.26 fof(f401,plain,(
% 70.42/9.26 szDzozmdt0(xd)=slbdtsldtrb0(xY,xk)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f92])).
% 70.42/9.26 fof(f402,plain,(
% 70.42/9.26 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f92])).
% 70.42/9.26 fof(f403,plain,(
% 70.42/9.26 (![W0,W1]: (((~aElementOf0(W0,xT)|~aSubsetOf0(W1,xY))|~isCountable0(W1))|(?[W2]: ((aSet0(W2)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(xd,W2)=W0))))),
% 70.42/9.26 inference(pre_NNF_transformation,[status(esa)],[f94])).
% 70.42/9.26 fof(f404,plain,(
% 70.42/9.26 ![W0,W1]: (((~aElementOf0(W0,xT)|~aSubsetOf0(W1,xY))|~isCountable0(W1))|((aSet0(sk0_21(W1,W0))&aElementOf0(sk0_21(W1,W0),slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(xd,sk0_21(W1,W0))=W0))),
% 70.42/9.26 inference(skolemization,[status(esa)],[f403])).
% 70.42/9.26 fof(f406,plain,(
% 70.42/9.26 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|aElementOf0(sk0_21(X1,X0),slbdtsldtrb0(X1,xk)))),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f404])).
% 70.42/9.26 fof(f407,plain,(
% 70.42/9.26 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|~sdtlpdtrp0(xd,sk0_21(X1,X0))=X0)),
% 70.42/9.26 inference(cnf_transformation,[status(esa)],[f404])).
% 70.42/9.26 fof(f414,plain,(
% 70.42/9.26 aSet0(slcrc0)),
% 70.42/9.26 inference(destructive_equality_resolution,[status(esa)],[f109])).
% 70.42/9.26 fof(f426,plain,(
% 70.42/9.26 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 70.42/9.26 inference(destructive_equality_resolution,[status(esa)],[f218])).
% 70.42/9.26 fof(f431,plain,(
% 70.42/9.26 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 70.42/9.26 inference(destructive_equality_resolution,[status(esa)],[f251])).
% 70.42/9.26 fof(f437,plain,(
% 70.42/9.26 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 70.42/9.26 inference(destructive_equality_resolution,[status(esa)],[f280])).
% 70.42/9.26 fof(f445,plain,(
% 70.42/9.26 ![X0,X1]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|aSet0(sdtlcdtrc0(X0,X1)))),
% 70.42/9.26 inference(destructive_equality_resolution,[status(esa)],[f324])).
% 70.42/9.26 fof(f456,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f134,f123])).
% 70.42/9.26 fof(f460,plain,(
% 70.42/9.26 spl0_1 <=> aElementOf0(xk,szNzAzT0)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f462,plain,(
% 70.42/9.26 ~aElementOf0(xk,szNzAzT0)|spl0_1),
% 70.42/9.26 inference(component_clause,[status(thm)],[f460])).
% 70.42/9.26 fof(f465,plain,(
% 70.42/9.26 $false|spl0_1),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f462,f367])).
% 70.42/9.26 fof(f466,plain,(
% 70.42/9.26 spl0_1),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f465])).
% 70.42/9.26 fof(f874,plain,(
% 70.42/9.26 spl0_2 <=> aSet0(szNzAzT0)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f876,plain,(
% 70.42/9.26 ~aSet0(szNzAzT0)|spl0_2),
% 70.42/9.26 inference(component_clause,[status(thm)],[f874])).
% 70.42/9.26 fof(f877,plain,(
% 70.42/9.26 spl0_3 <=> ~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f878,plain,(
% 70.42/9.26 ![X0]: (~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0)|~spl0_3)),
% 70.42/9.26 inference(component_clause,[status(thm)],[f877])).
% 70.42/9.26 fof(f880,plain,(
% 70.42/9.26 ![X0]: (~aSet0(szNzAzT0)|~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0))),
% 70.42/9.26 inference(resolution,[status(thm)],[f398,f456])).
% 70.42/9.26 fof(f881,plain,(
% 70.42/9.26 ~spl0_2|spl0_3),
% 70.42/9.26 inference(split_clause,[status(thm)],[f880,f874,f877])).
% 70.42/9.26 fof(f895,plain,(
% 70.42/9.26 spl0_7 <=> aSet0(xY)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f898,plain,(
% 70.42/9.26 ~aSet0(szNzAzT0)|aSet0(xY)),
% 70.42/9.26 inference(resolution,[status(thm)],[f398,f123])).
% 70.42/9.26 fof(f899,plain,(
% 70.42/9.26 ~spl0_2|spl0_7),
% 70.42/9.26 inference(split_clause,[status(thm)],[f898,f874,f895])).
% 70.42/9.26 fof(f900,plain,(
% 70.42/9.26 $false|spl0_2),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f876,f171])).
% 70.42/9.26 fof(f901,plain,(
% 70.42/9.26 spl0_2),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f900])).
% 70.42/9.26 fof(f908,plain,(
% 70.42/9.26 spl0_10 <=> isCountable0(xY)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f910,plain,(
% 70.42/9.26 ~isCountable0(xY)|spl0_10),
% 70.42/9.26 inference(component_clause,[status(thm)],[f908])).
% 70.42/9.26 fof(f918,plain,(
% 70.42/9.26 spl0_12 <=> aSet0(szDzozmdt0(xd))),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f919,plain,(
% 70.42/9.26 aSet0(szDzozmdt0(xd))|~spl0_12),
% 70.42/9.26 inference(component_clause,[status(thm)],[f918])).
% 70.42/9.26 fof(f921,plain,(
% 70.42/9.26 ~aSet0(xY)|~aElementOf0(xk,szNzAzT0)|aSet0(szDzozmdt0(xd))),
% 70.42/9.26 inference(paramodulation,[status(thm)],[f401,f437])).
% 70.42/9.26 fof(f922,plain,(
% 70.42/9.26 ~spl0_7|~spl0_1|spl0_12),
% 70.42/9.26 inference(split_clause,[status(thm)],[f921,f895,f460,f918])).
% 70.42/9.26 fof(f923,plain,(
% 70.42/9.26 $false|spl0_10),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f910,f399])).
% 70.42/9.26 fof(f924,plain,(
% 70.42/9.26 spl0_10),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f923])).
% 70.42/9.26 fof(f945,plain,(
% 70.42/9.26 spl0_16 <=> aSet0(xT)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f947,plain,(
% 70.42/9.26 ~aSet0(xT)|spl0_16),
% 70.42/9.26 inference(component_clause,[status(thm)],[f945])).
% 70.42/9.26 fof(f966,plain,(
% 70.42/9.26 spl0_21 <=> aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f971,plain,(
% 70.42/9.26 $false|spl0_16),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f947,f351])).
% 70.42/9.26 fof(f972,plain,(
% 70.42/9.26 spl0_16),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f971])).
% 70.42/9.26 fof(f973,plain,(
% 70.42/9.26 spl0_22 <=> aSubsetOf0(xY,szNzAzT0)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f976,plain,(
% 70.42/9.26 ~aSet0(szNzAzT0)|aSubsetOf0(xY,szNzAzT0)|~aSet0(szNzAzT0)|~spl0_3),
% 70.42/9.26 inference(resolution,[status(thm)],[f878,f130])).
% 70.42/9.26 fof(f977,plain,(
% 70.42/9.26 ~spl0_2|spl0_22|~spl0_3),
% 70.42/9.26 inference(split_clause,[status(thm)],[f976,f874,f973,f877])).
% 70.42/9.26 fof(f1936,plain,(
% 70.42/9.26 sbrdtbr0(slcrc0)=sz00),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f426,f414])).
% 70.42/9.26 fof(f2989,plain,(
% 70.42/9.26 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f456,f123])).
% 70.42/9.26 fof(f3005,plain,(
% 70.42/9.26 spl0_213 <=> ~aSubsetOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aSubsetOf0(X0,xT)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f3006,plain,(
% 70.42/9.26 ![X0]: (~aSubsetOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aSubsetOf0(X0,xT)|~spl0_213)),
% 70.42/9.26 inference(component_clause,[status(thm)],[f3005])).
% 70.42/9.26 fof(f3008,plain,(
% 70.42/9.26 ![X0]: (~aSet0(xT)|~aSubsetOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))|aSubsetOf0(X0,xT))),
% 70.42/9.26 inference(resolution,[status(thm)],[f2989,f402])).
% 70.42/9.26 fof(f3009,plain,(
% 70.42/9.26 ~spl0_16|spl0_213),
% 70.42/9.26 inference(split_clause,[status(thm)],[f3008,f945,f3005])).
% 70.42/9.26 fof(f3010,plain,(
% 70.42/9.26 spl0_214 <=> aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f3013,plain,(
% 70.42/9.26 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)|~aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))|~spl0_213),
% 70.42/9.26 inference(resolution,[status(thm)],[f3006,f130])).
% 70.42/9.26 fof(f3014,plain,(
% 70.42/9.26 spl0_214|~spl0_21|~spl0_213),
% 70.42/9.26 inference(split_clause,[status(thm)],[f3013,f3010,f966,f3005])).
% 70.42/9.26 fof(f4989,plain,(
% 70.42/9.26 spl0_384 <=> iLess0(xk,xK)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f4992,plain,(
% 70.42/9.26 ~aElementOf0(xk,szNzAzT0)|iLess0(xk,xK)),
% 70.42/9.26 inference(paramodulation,[status(thm)],[f368,f208])).
% 70.42/9.26 fof(f4993,plain,(
% 70.42/9.26 ~spl0_1|spl0_384),
% 70.42/9.26 inference(split_clause,[status(thm)],[f4992,f460,f4989])).
% 70.42/9.26 fof(f5779,plain,(
% 70.42/9.26 spl0_449 <=> aFunction0(xd)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f5781,plain,(
% 70.42/9.26 ~aFunction0(xd)|spl0_449),
% 70.42/9.26 inference(component_clause,[status(thm)],[f5779])).
% 70.42/9.26 fof(f5784,plain,(
% 70.42/9.26 $false|spl0_449),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f5781,f400])).
% 70.42/9.26 fof(f5785,plain,(
% 70.42/9.26 spl0_449),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f5784])).
% 70.42/9.26 fof(f6253,plain,(
% 70.42/9.26 aSet0(slbdtrb0(xk))),
% 70.42/9.26 inference(resolution,[status(thm)],[f431,f367])).
% 70.42/9.26 fof(f6256,plain,(
% 70.42/9.26 aSet0(slbdtrb0(xK))),
% 70.42/9.26 inference(resolution,[status(thm)],[f431,f353])).
% 70.42/9.26 fof(f6257,plain,(
% 70.42/9.26 aSet0(slbdtrb0(xi))),
% 70.42/9.26 inference(resolution,[status(thm)],[f431,f395])).
% 70.42/9.26 fof(f6302,plain,(
% 70.42/9.26 spl0_480 <=> aSet0(slbdtrb0(xK))),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f6304,plain,(
% 70.42/9.26 ~aSet0(slbdtrb0(xK))|spl0_480),
% 70.42/9.26 inference(component_clause,[status(thm)],[f6302])).
% 70.42/9.26 fof(f6310,plain,(
% 70.42/9.26 $false|spl0_480),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f6304,f6256])).
% 70.42/9.26 fof(f6311,plain,(
% 70.42/9.26 spl0_480),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f6310])).
% 70.42/9.26 fof(f6312,plain,(
% 70.42/9.26 spl0_482 <=> aSet0(slbdtrb0(xi))),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f6314,plain,(
% 70.42/9.26 ~aSet0(slbdtrb0(xi))|spl0_482),
% 70.42/9.26 inference(component_clause,[status(thm)],[f6312])).
% 70.42/9.26 fof(f6320,plain,(
% 70.42/9.26 $false|spl0_482),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f6314,f6257])).
% 70.42/9.26 fof(f6321,plain,(
% 70.42/9.26 spl0_482),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f6320])).
% 70.42/9.26 fof(f7660,plain,(
% 70.42/9.26 spl0_627 <=> aSet0(slbdtrb0(xk))),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f7662,plain,(
% 70.42/9.26 ~aSet0(slbdtrb0(xk))|spl0_627),
% 70.42/9.26 inference(component_clause,[status(thm)],[f7660])).
% 70.42/9.26 fof(f7668,plain,(
% 70.42/9.26 $false|spl0_627),
% 70.42/9.26 inference(forward_subsumption_resolution,[status(thm)],[f7662,f6253])).
% 70.42/9.26 fof(f7669,plain,(
% 70.42/9.26 spl0_627),
% 70.42/9.26 inference(contradiction_clause,[status(thm)],[f7668])).
% 70.42/9.26 fof(f10074,plain,(
% 70.42/9.26 spl0_793 <=> aFunction0(xc)),
% 70.42/9.26 introduced(split_symbol_definition)).
% 70.42/9.26 fof(f10076,plain,(
% 70.42/9.26 ~aFunction0(xc)|spl0_793),
% 70.42/9.26 inference(component_clause,[status(thm)],[f10074])).
% 70.42/9.27 fof(f10080,plain,(
% 70.42/9.27 $false|spl0_793),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f10076,f356])).
% 70.42/9.27 fof(f10081,plain,(
% 70.42/9.27 spl0_793),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f10080])).
% 70.42/9.27 fof(f10464,plain,(
% 70.42/9.27 spl0_833 <=> aSet0(slbdtrb0(sz00))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f10466,plain,(
% 70.42/9.27 ~aSet0(slbdtrb0(sz00))|spl0_833),
% 70.42/9.27 inference(component_clause,[status(thm)],[f10464])).
% 70.42/9.27 fof(f10477,plain,(
% 70.42/9.27 ~aSet0(slcrc0)|spl0_833),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f260,f10466])).
% 70.42/9.27 fof(f10478,plain,(
% 70.42/9.27 $false|spl0_833),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f10477,f414])).
% 70.42/9.27 fof(f10479,plain,(
% 70.42/9.27 spl0_833),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f10478])).
% 70.42/9.27 fof(f10921,plain,(
% 70.42/9.27 spl0_880 <=> aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f10923,plain,(
% 70.42/9.27 ~aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)|spl0_880),
% 70.42/9.27 inference(component_clause,[status(thm)],[f10921])).
% 70.42/9.27 fof(f10926,plain,(
% 70.42/9.27 ~aElementOf0(sz00,szNzAzT0)|spl0_880),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f1936,f10923])).
% 70.42/9.27 fof(f10927,plain,(
% 70.42/9.27 $false|spl0_880),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f10926,f173])).
% 70.42/9.27 fof(f10928,plain,(
% 70.42/9.27 spl0_880),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f10927])).
% 70.42/9.27 fof(f11010,plain,(
% 70.42/9.27 spl0_890 <=> ~aElementOf0(X1,szNzAzT0)|X1=sz00|~aElementOf0(X1,szNzAzT0)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f11011,plain,(
% 70.42/9.27 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|~aElementOf0(X0,szNzAzT0)|~spl0_890)),
% 70.42/9.27 inference(component_clause,[status(thm)],[f11010])).
% 70.42/9.27 fof(f12352,plain,(
% 70.42/9.27 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|~spl0_890)),
% 70.42/9.27 inference(duplicate_literals_removal,[status(esa)],[f11011])).
% 70.42/9.27 fof(f12583,plain,(
% 70.42/9.27 spl0_983 <=> xK=szszuzczcdt0(xk)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f12585,plain,(
% 70.42/9.27 ~xK=szszuzczcdt0(xk)|spl0_983),
% 70.42/9.27 inference(component_clause,[status(thm)],[f12583])).
% 70.42/9.27 fof(f13508,plain,(
% 70.42/9.27 spl0_1077 <=> aElementOf0(sz00,szDzozmdt0(xN))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f13510,plain,(
% 70.42/9.27 ~aElementOf0(sz00,szDzozmdt0(xN))|spl0_1077),
% 70.42/9.27 inference(component_clause,[status(thm)],[f13508])).
% 70.42/9.27 fof(f13513,plain,(
% 70.42/9.27 ~aElementOf0(sz00,szNzAzT0)|spl0_1077),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f371,f13510])).
% 70.42/9.27 fof(f13514,plain,(
% 70.42/9.27 $false|spl0_1077),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f13513,f173])).
% 70.42/9.27 fof(f13515,plain,(
% 70.42/9.27 spl0_1077),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f13514])).
% 70.42/9.27 fof(f13593,plain,(
% 70.42/9.27 spl0_1087 <=> aSubsetOf0(szDzozmdt0(xd),szDzozmdt0(xd))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f13594,plain,(
% 70.42/9.27 aSubsetOf0(szDzozmdt0(xd),szDzozmdt0(xd))|~spl0_1087),
% 70.42/9.27 inference(component_clause,[status(thm)],[f13593])).
% 70.42/9.27 fof(f13595,plain,(
% 70.42/9.27 ~aSubsetOf0(szDzozmdt0(xd),szDzozmdt0(xd))|spl0_1087),
% 70.42/9.27 inference(component_clause,[status(thm)],[f13593])).
% 70.42/9.27 fof(f13750,plain,(
% 70.42/9.27 ~aSet0(szDzozmdt0(xd))|spl0_1087),
% 70.42/9.27 inference(resolution,[status(thm)],[f13595,f130])).
% 70.42/9.27 fof(f13751,plain,(
% 70.42/9.27 $false|~spl0_12|spl0_1087),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f13750,f919])).
% 70.42/9.27 fof(f13752,plain,(
% 70.42/9.27 ~spl0_12|spl0_1087),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f13751])).
% 70.42/9.27 fof(f14415,plain,(
% 70.42/9.27 spl0_1126 <=> aElementOf0(sz00,szDzozmdt0(xC))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f14417,plain,(
% 70.42/9.27 ~aElementOf0(sz00,szDzozmdt0(xC))|spl0_1126),
% 70.42/9.27 inference(component_clause,[status(thm)],[f14415])).
% 70.42/9.27 fof(f14420,plain,(
% 70.42/9.27 ~aElementOf0(sz00,szNzAzT0)|spl0_1126),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f386,f14417])).
% 70.42/9.27 fof(f14421,plain,(
% 70.42/9.27 $false|spl0_1126),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f14420,f173])).
% 70.42/9.27 fof(f14422,plain,(
% 70.42/9.27 spl0_1126),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f14421])).
% 70.42/9.27 fof(f14441,plain,(
% 70.42/9.27 xK=sz00|~spl0_890),
% 70.42/9.27 inference(resolution,[status(thm)],[f12352,f353])).
% 70.42/9.27 fof(f14442,plain,(
% 70.42/9.27 $false|~spl0_890),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f14441,f365])).
% 70.42/9.27 fof(f14443,plain,(
% 70.42/9.27 ~spl0_890),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f14442])).
% 70.42/9.27 fof(f14848,plain,(
% 70.42/9.27 ~aFunction0(xd)|aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))|~spl0_1087),
% 70.42/9.27 inference(resolution,[status(thm)],[f13594,f445])).
% 70.42/9.27 fof(f14849,plain,(
% 70.42/9.27 ~spl0_449|spl0_21|~spl0_1087),
% 70.42/9.27 inference(split_clause,[status(thm)],[f14848,f5779,f966,f13593])).
% 70.42/9.27 fof(f16161,plain,(
% 70.42/9.27 spl0_1345 <=> isCountable0(szDzozmdt0(xN))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16163,plain,(
% 70.42/9.27 ~isCountable0(szDzozmdt0(xN))|spl0_1345),
% 70.42/9.27 inference(component_clause,[status(thm)],[f16161])).
% 70.42/9.27 fof(f16172,plain,(
% 70.42/9.27 spl0_1348 <=> isCountable0(szDzozmdt0(xC))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16174,plain,(
% 70.42/9.27 ~isCountable0(szDzozmdt0(xC))|spl0_1348),
% 70.42/9.27 inference(component_clause,[status(thm)],[f16172])).
% 70.42/9.27 fof(f16183,plain,(
% 70.42/9.27 ~isCountable0(szNzAzT0)|spl0_1348),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f386,f16174])).
% 70.42/9.27 fof(f16184,plain,(
% 70.42/9.27 $false|spl0_1348),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f16183,f172])).
% 70.42/9.27 fof(f16185,plain,(
% 70.42/9.27 spl0_1348),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f16184])).
% 70.42/9.27 fof(f16186,plain,(
% 70.42/9.27 ~isCountable0(szNzAzT0)|spl0_1345),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f371,f16163])).
% 70.42/9.27 fof(f16187,plain,(
% 70.42/9.27 $false|spl0_1345),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f16186,f172])).
% 70.42/9.27 fof(f16188,plain,(
% 70.42/9.27 spl0_1345),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f16187])).
% 70.42/9.27 fof(f16248,plain,(
% 70.42/9.27 spl0_1362 <=> ~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~szDzozmdt0(xd)=slbdtsldtrb0(X1,X0)|~iLess0(X0,xK)|~aElementOf0(sk0_21(X2,sk0_19(xd,X1,X0)),slbdtsldtrb0(sk0_20(xd,X1,X0),X0))|~aElementOf0(sk0_19(xd,X1,X0),xT)|~aSubsetOf0(X2,xY)|~isCountable0(X2)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16249,plain,(
% 70.42/9.27 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~szDzozmdt0(xd)=slbdtsldtrb0(X1,X0)|~iLess0(X0,xK)|~aElementOf0(sk0_21(X2,sk0_19(xd,X1,X0)),slbdtsldtrb0(sk0_20(xd,X1,X0),X0))|~aElementOf0(sk0_19(xd,X1,X0),xT)|~aSubsetOf0(X2,xY)|~isCountable0(X2)|~spl0_1362)),
% 70.42/9.27 inference(component_clause,[status(thm)],[f16248])).
% 70.42/9.27 fof(f16251,plain,(
% 70.42/9.27 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|~isCountable0(X1)|~aFunction0(xd)|~szDzozmdt0(xd)=slbdtsldtrb0(X1,X0)|~aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)|~iLess0(X0,xK)|~aElementOf0(sk0_21(X2,sk0_19(xd,X1,X0)),slbdtsldtrb0(sk0_20(xd,X1,X0),X0))|~aElementOf0(sk0_19(xd,X1,X0),xT)|~aSubsetOf0(X2,xY)|~isCountable0(X2))),
% 70.42/9.27 inference(resolution,[status(thm)],[f364,f407])).
% 70.42/9.27 fof(f16252,plain,(
% 70.42/9.27 spl0_1362|~spl0_449|~spl0_214),
% 70.42/9.27 inference(split_clause,[status(thm)],[f16251,f16248,f5779,f3010])).
% 70.42/9.27 fof(f16271,plain,(
% 70.42/9.27 spl0_1366 <=> aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16273,plain,(
% 70.42/9.27 ~aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)|spl0_1366),
% 70.42/9.27 inference(component_clause,[status(thm)],[f16271])).
% 70.42/9.27 fof(f16274,plain,(
% 70.42/9.27 spl0_1367 <=> isCountable0(sdtlpdtrp0(xN,sz00))),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16276,plain,(
% 70.42/9.27 ~isCountable0(sdtlpdtrp0(xN,sz00))|spl0_1367),
% 70.42/9.27 inference(component_clause,[status(thm)],[f16274])).
% 70.42/9.27 fof(f16287,plain,(
% 70.42/9.27 ~isCountable0(xS)|spl0_1367),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f372,f16276])).
% 70.42/9.27 fof(f16288,plain,(
% 70.42/9.27 $false|spl0_1367),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f16287,f355])).
% 70.42/9.27 fof(f16289,plain,(
% 70.42/9.27 spl0_1367),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f16288])).
% 70.42/9.27 fof(f16290,plain,(
% 70.42/9.27 ~aSubsetOf0(xS,szNzAzT0)|spl0_1366),
% 70.42/9.27 inference(forward_demodulation,[status(thm)],[f372,f16273])).
% 70.42/9.27 fof(f16291,plain,(
% 70.42/9.27 $false|spl0_1366),
% 70.42/9.27 inference(forward_subsumption_resolution,[status(thm)],[f16290,f354])).
% 70.42/9.27 fof(f16292,plain,(
% 70.42/9.27 spl0_1366),
% 70.42/9.27 inference(contradiction_clause,[status(thm)],[f16291])).
% 70.42/9.27 fof(f16783,plain,(
% 70.42/9.27 spl0_1430 <=> ~aElementOf0(sk0_21(X0,sk0_19(xd,xY,xk)),slbdtsldtrb0(sk0_20(xd,xY,xk),xk))|~aSubsetOf0(X0,xY)|~isCountable0(X0)),
% 70.42/9.27 introduced(split_symbol_definition)).
% 70.42/9.27 fof(f16784,plain,(
% 70.42/9.27 ![X0]: (~aElementOf0(sk0_21(X0,sk0_19(xd,xY,xk)),slbdtsldtrb0(sk0_20(xd,xY,xk),xk))|~aSubsetOf0(X0,xY)|~isCountable0(X0)|~spl0_1430)),
% 70.89/9.29 inference(component_clause,[status(thm)],[f16783])).
% 70.89/9.29 fof(f16786,plain,(
% 70.89/9.29 spl0_1431 <=> aElementOf0(sk0_19(xd,xY,xk),xT)),
% 70.89/9.29 introduced(split_symbol_definition)).
% 70.89/9.29 fof(f16789,plain,(
% 70.89/9.29 ![X0]: (~aElementOf0(xk,szNzAzT0)|~aSubsetOf0(xY,szNzAzT0)|~isCountable0(xY)|~iLess0(xk,xK)|~aElementOf0(sk0_21(X0,sk0_19(xd,xY,xk)),slbdtsldtrb0(sk0_20(xd,xY,xk),xk))|~aElementOf0(sk0_19(xd,xY,xk),xT)|~aSubsetOf0(X0,xY)|~isCountable0(X0)|~spl0_1362)),
% 70.89/9.29 inference(resolution,[status(thm)],[f401,f16249])).
% 70.89/9.29 fof(f16790,plain,(
% 70.89/9.29 ~spl0_1|~spl0_22|~spl0_10|~spl0_384|spl0_1430|~spl0_1431|~spl0_1362),
% 70.89/9.29 inference(split_clause,[status(thm)],[f16789,f460,f973,f908,f4989,f16783,f16786,f16248])).
% 70.89/9.29 fof(f16791,plain,(
% 70.89/9.29 spl0_1432 <=> isCountable0(sk0_20(xd,xY,xk))),
% 70.89/9.29 introduced(split_symbol_definition)).
% 70.89/9.29 fof(f16794,plain,(
% 70.89/9.29 ~aElementOf0(xk,szNzAzT0)|~aSubsetOf0(xY,szNzAzT0)|~isCountable0(xY)|~aFunction0(xd)|~aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)|~iLess0(xk,xK)|isCountable0(sk0_20(xd,xY,xk))),
% 70.89/9.29 inference(resolution,[status(thm)],[f401,f363])).
% 70.89/9.29 fof(f16795,plain,(
% 70.89/9.29 ~spl0_1|~spl0_22|~spl0_10|~spl0_449|~spl0_214|~spl0_384|spl0_1432),
% 70.89/9.29 inference(split_clause,[status(thm)],[f16794,f460,f973,f908,f5779,f3010,f4989,f16791])).
% 70.89/9.29 fof(f16796,plain,(
% 70.89/9.29 spl0_1433 <=> aSubsetOf0(sk0_20(xd,xY,xk),xY)),
% 70.89/9.29 introduced(split_symbol_definition)).
% 70.89/9.29 fof(f16799,plain,(
% 70.89/9.29 ~aElementOf0(xk,szNzAzT0)|~aSubsetOf0(xY,szNzAzT0)|~isCountable0(xY)|~aFunction0(xd)|~aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)|~iLess0(xk,xK)|aSubsetOf0(sk0_20(xd,xY,xk),xY)),
% 70.89/9.29 inference(resolution,[status(thm)],[f401,f362])).
% 70.89/9.29 fof(f16800,plain,(
% 70.89/9.29 ~spl0_1|~spl0_22|~spl0_10|~spl0_449|~spl0_214|~spl0_384|spl0_1433),
% 70.89/9.29 inference(split_clause,[status(thm)],[f16799,f460,f973,f908,f5779,f3010,f4989,f16796])).
% 70.89/9.29 fof(f16801,plain,(
% 70.89/9.29 ~aElementOf0(xk,szNzAzT0)|~aSubsetOf0(xY,szNzAzT0)|~isCountable0(xY)|~aFunction0(xd)|~aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)|~iLess0(xk,xK)|aElementOf0(sk0_19(xd,xY,xk),xT)),
% 70.89/9.29 inference(resolution,[status(thm)],[f401,f361])).
% 70.89/9.29 fof(f16802,plain,(
% 70.89/9.29 ~spl0_1|~spl0_22|~spl0_10|~spl0_449|~spl0_214|~spl0_384|spl0_1431),
% 70.89/9.29 inference(split_clause,[status(thm)],[f16801,f460,f973,f908,f5779,f3010,f4989,f16786])).
% 70.89/9.29 fof(f18902,plain,(
% 70.89/9.29 ~xK=xK|spl0_983),
% 70.89/9.29 inference(forward_demodulation,[status(thm)],[f368,f12585])).
% 70.89/9.29 fof(f18903,plain,(
% 70.89/9.29 $false|spl0_983),
% 70.89/9.29 inference(trivial_equality_resolution,[status(esa)],[f18902])).
% 70.89/9.29 fof(f18904,plain,(
% 70.89/9.29 spl0_983),
% 70.89/9.29 inference(contradiction_clause,[status(thm)],[f18903])).
% 70.89/9.29 fof(f20443,plain,(
% 70.89/9.29 ~aSubsetOf0(sk0_20(xd,xY,xk),xY)|~isCountable0(sk0_20(xd,xY,xk))|~aElementOf0(sk0_19(xd,xY,xk),xT)|~aSubsetOf0(sk0_20(xd,xY,xk),xY)|~isCountable0(sk0_20(xd,xY,xk))|~spl0_1430),
% 70.89/9.29 inference(resolution,[status(thm)],[f16784,f406])).
% 70.89/9.29 fof(f20444,plain,(
% 70.89/9.29 ~spl0_1433|~spl0_1432|~spl0_1431|~spl0_1430),
% 70.89/9.29 inference(split_clause,[status(thm)],[f20443,f16796,f16791,f16786,f16783])).
% 70.89/9.29 fof(f20445,plain,(
% 70.89/9.29 $false),
% 70.89/9.29 inference(sat_refutation,[status(thm)],[f466,f881,f899,f901,f922,f924,f972,f977,f3009,f3014,f4993,f5785,f6311,f6321,f7669,f10081,f10479,f10928,f13515,f13752,f14422,f14443,f14849,f16185,f16188,f16252,f16289,f16292,f16790,f16795,f16800,f16802,f18904,f20444])).
% 70.89/9.29 % SZS output end CNFRefutation for theBenchmark.p
% 70.89/9.31 % Elapsed time: 8.941010 seconds
% 70.89/9.31 % CPU time: 70.925436 seconds
% 70.89/9.31 % Total memory used: 319.930 MB
% 70.89/9.31 % Net memory used: 308.419 MB
%------------------------------------------------------------------------------