TSTP Solution File: NUM629+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM629+1 : 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 : Tue Apr 30 20:35:25 EDT 2024
% Result : Theorem 244.03s 31.11s
% Output : CNFRefutation 244.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM629+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:45:19 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 244.03/31.11 % Refutation found
% 244.03/31.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 244.03/31.11 % SZS output start CNFRefutation for theBenchmark
% 244.03/31.11 fof(f3,axiom,(
% 244.03/31.11 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f5,definition,(
% 244.03/31.11 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f6,axiom,(
% 244.03/31.11 isFinite0(slcrc0) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f8,axiom,(
% 244.03/31.11 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ isFinite0(W0) ) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f10,definition,(
% 244.03/31.11 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f14,axiom,(
% 244.03/31.11 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f16,definition,(
% 244.03/31.11 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtmndt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& aElementOf0(W3,W0)& W3 != W1 ) ) )) ) )) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f23,axiom,(
% 244.03/31.11 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f24,axiom,(
% 244.03/31.11 aElementOf0(sz00,szNzAzT0) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f47,definition,(
% 244.03/31.11 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzizndt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W1,W2) ) )) ) )) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f57,definition,(
% 244.03/31.11 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f75,hypothesis,(
% 244.03/31.11 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f76,hypothesis,(
% 244.03/31.11 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f80,hypothesis,(
% 244.03/31.11 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f81,hypothesis,(
% 244.03/31.11 ( 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))) ) ) ) )) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f82,hypothesis,(
% 244.03/31.11 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f86,hypothesis,(
% 244.03/31.11 ( 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)))) ) )) ) )) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f91,hypothesis,(
% 244.03/31.11 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) )) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f92,hypothesis,(
% 244.03/31.11 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f109,hypothesis,(
% 244.03/31.11 sbrdtbr0(xP) = xk ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f111,hypothesis,(
% 244.03/31.11 ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))& aElementOf0(xn,szNzAzT0)& sdtlpdtrp0(xe,xn) = xp ) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f113,hypothesis,(
% 244.03/31.11 aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f114,hypothesis,(
% 244.03/31.11 xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f115,conjecture,(
% 244.03/31.11 aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
% 244.03/31.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.03/31.11 fof(f116,negated_conjecture,(
% 244.03/31.11 ~(aElementOf0(xP,slbdtsldtrb0(xD,xk)) )),
% 244.03/31.11 inference(negated_conjecture,[status(cth)],[f115])).
% 244.03/31.11 fof(f123,plain,(
% 244.03/31.11 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 244.03/31.11 fof(f124,plain,(
% 244.03/31.11 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f123])).
% 244.03/31.11 fof(f127,plain,(
% 244.03/31.11 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 244.03/31.11 fof(f128,plain,(
% 244.03/31.11 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 244.03/31.11 inference(NNF_transformation,[status(esa)],[f127])).
% 244.03/31.11 fof(f129,plain,(
% 244.03/31.11 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 244.03/31.11 inference(miniscoping,[status(esa)],[f128])).
% 244.03/31.11 fof(f130,plain,(
% 244.03/31.11 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 244.03/31.11 inference(skolemization,[status(esa)],[f129])).
% 244.03/31.11 fof(f131,plain,(
% 244.03/31.11 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f130])).
% 244.03/31.11 fof(f134,plain,(
% 244.03/31.11 isFinite0(slcrc0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f6])).
% 244.03/31.11 fof(f137,plain,(
% 244.03/31.11 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 244.03/31.11 fof(f138,plain,(
% 244.03/31.11 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~isFinite0(X0))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f137])).
% 244.03/31.11 fof(f141,plain,(
% 244.03/31.11 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 244.03/31.11 fof(f142,plain,(
% 244.03/31.11 ![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))))))))),
% 244.03/31.11 inference(NNF_transformation,[status(esa)],[f141])).
% 244.03/31.11 fof(f143,plain,(
% 244.03/31.11 ![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))))))))),
% 244.03/31.11 inference(miniscoping,[status(esa)],[f142])).
% 244.03/31.11 fof(f144,plain,(
% 244.03/31.11 ![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)))))))),
% 244.03/31.11 inference(skolemization,[status(esa)],[f143])).
% 244.03/31.11 fof(f145,plain,(
% 244.03/31.11 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f144])).
% 244.03/31.11 fof(f146,plain,(
% 244.03/31.11 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f144])).
% 244.03/31.11 fof(f155,plain,(
% 244.03/31.11 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 244.03/31.11 fof(f156,plain,(
% 244.03/31.11 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f155])).
% 244.03/31.11 fof(f170,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 244.03/31.11 fof(f171,plain,(
% 244.03/31.11 ![W0,W1,W3]: (pd0_0(W3,W1,W0)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))),
% 244.03/31.11 introduced(predicate_definition,[f170])).
% 244.03/31.11 fof(f172,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>pd0_0(W3,W1,W0)))))))),
% 244.03/31.11 inference(formula_renaming,[status(thm)],[f170,f171])).
% 244.03/31.11 fof(f173,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtmndt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))))))&(W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 244.03/31.11 inference(NNF_transformation,[status(esa)],[f172])).
% 244.03/31.11 fof(f174,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 244.03/31.11 inference(miniscoping,[status(esa)],[f173])).
% 244.03/31.11 fof(f175,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_3(W2,W1,W0),W2)|~pd0_0(sk0_3(W2,W1,W0),W1,W0))&(aElementOf0(sk0_3(W2,W1,W0),W2)|pd0_0(sk0_3(W2,W1,W0),W1,W0))))))))),
% 244.03/31.11 inference(skolemization,[status(esa)],[f174])).
% 244.03/31.11 fof(f176,plain,(
% 244.03/31.11 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aSet0(X2))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f175])).
% 244.03/31.11 fof(f193,plain,(
% 244.03/31.11 aSet0(szNzAzT0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f23])).
% 244.03/31.11 fof(f194,plain,(
% 244.03/31.11 isCountable0(szNzAzT0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f23])).
% 244.03/31.11 fof(f195,plain,(
% 244.03/31.11 aElementOf0(sz00,szNzAzT0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f24])).
% 244.03/31.11 fof(f251,plain,(
% 244.03/31.11 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: (W1=szmzizndt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 244.03/31.11 fof(f252,plain,(
% 244.03/31.11 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: ((~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))&(W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 244.03/31.11 inference(NNF_transformation,[status(esa)],[f251])).
% 244.03/31.11 fof(f253,plain,(
% 244.03/31.11 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 244.03/31.11 inference(miniscoping,[status(esa)],[f252])).
% 244.03/31.11 fof(f254,plain,(
% 244.03/31.11 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(aElementOf0(sk0_6(W1,W0),W0)&~sdtlseqdt0(W1,sk0_6(W1,W0))))))))),
% 244.03/31.11 inference(skolemization,[status(esa)],[f253])).
% 244.03/31.11 fof(f255,plain,(
% 244.03/31.11 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~X1=szmzizndt0(X0)|aElementOf0(X1,X0))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f254])).
% 244.03/31.11 fof(f298,plain,(
% 244.03/31.11 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 244.03/31.11 fof(f299,plain,(
% 244.03/31.11 ![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)))))))))),
% 244.03/31.11 inference(NNF_transformation,[status(esa)],[f298])).
% 244.03/31.11 fof(f300,plain,(
% 244.03/31.11 ![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)))))))))),
% 244.03/31.11 inference(miniscoping,[status(esa)],[f299])).
% 244.03/31.11 fof(f301,plain,(
% 244.03/31.11 ![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))))))))),
% 244.03/31.11 inference(skolemization,[status(esa)],[f300])).
% 244.03/31.11 fof(f305,plain,(
% 244.03/31.11 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f301])).
% 244.03/31.11 fof(f377,plain,(
% 244.03/31.11 isCountable0(xS)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f75])).
% 244.03/31.11 fof(f380,plain,(
% 244.03/31.11 aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f76])).
% 244.03/31.11 fof(f389,plain,(
% 244.03/31.11 aElementOf0(xk,szNzAzT0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f80])).
% 244.03/31.11 fof(f391,plain,(
% 244.03/31.11 ((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)))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 244.03/31.11 fof(f393,plain,(
% 244.03/31.11 szDzozmdt0(xN)=szNzAzT0),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f391])).
% 244.03/31.11 fof(f394,plain,(
% 244.03/31.11 sdtlpdtrp0(xN,sz00)=xS),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f391])).
% 244.03/31.11 fof(f395,plain,(
% 244.03/31.11 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X0))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f391])).
% 244.03/31.11 fof(f397,plain,(
% 244.03/31.11 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,W0))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 244.03/31.11 fof(f398,plain,(
% 244.03/31.11 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f397])).
% 244.03/31.11 fof(f399,plain,(
% 244.03/31.11 ![X0]: (~aElementOf0(X0,szNzAzT0)|isCountable0(sdtlpdtrp0(xN,X0)))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f397])).
% 244.03/31.11 fof(f406,plain,(
% 244.03/31.11 (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)))))))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 244.03/31.11 fof(f408,plain,(
% 244.03/31.11 szDzozmdt0(xC)=szNzAzT0),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f406])).
% 244.03/31.11 fof(f426,plain,(
% 244.03/31.11 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 244.03/31.11 fof(f428,plain,(
% 244.03/31.11 szDzozmdt0(xe)=szNzAzT0),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f426])).
% 244.03/31.11 fof(f430,plain,(
% 244.03/31.11 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 244.03/31.11 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 244.03/31.11 fof(f432,plain,(
% 244.03/31.11 szDzozmdt0(xd)=szNzAzT0),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f430])).
% 244.03/31.11 fof(f459,plain,(
% 244.03/31.11 sbrdtbr0(xP)=xk),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f109])).
% 244.03/31.11 fof(f462,plain,(
% 244.03/31.11 aElementOf0(xn,szNzAzT0)),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f111])).
% 244.03/31.11 fof(f465,plain,(
% 244.03/31.11 aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f113])).
% 244.03/31.11 fof(f466,plain,(
% 244.03/31.11 xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f114])).
% 244.03/31.11 fof(f467,plain,(
% 244.03/31.11 ~aElementOf0(xP,slbdtsldtrb0(xD,xk))),
% 244.03/31.11 inference(cnf_transformation,[status(esa)],[f116])).
% 244.03/31.11 fof(f474,plain,(
% 244.03/31.11 aSet0(slcrc0)),
% 244.03/31.11 inference(destructive_equality_resolution,[status(esa)],[f131])).
% 244.03/31.11 fof(f483,plain,(
% 244.03/31.11 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aSet0(sdtmndt0(X0,X1)))),
% 244.03/31.11 inference(destructive_equality_resolution,[status(esa)],[f176])).
% 244.03/31.11 fof(f487,plain,(
% 244.03/31.11 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|aElementOf0(szmzizndt0(X0),X0))),
% 244.03/31.11 inference(destructive_equality_resolution,[status(esa)],[f255])).
% 244.03/31.11 fof(f500,plain,(
% 244.03/31.11 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 244.03/31.11 inference(destructive_equality_resolution,[status(esa)],[f305])).
% 244.03/31.11 fof(f533,plain,(
% 244.03/31.11 spl0_4 <=> aElementOf0(xn,szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f535,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|spl0_4),
% 244.03/31.11 inference(component_clause,[status(thm)],[f533])).
% 244.03/31.11 fof(f557,plain,(
% 244.03/31.11 spl0_10 <=> aSet0(szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f559,plain,(
% 244.03/31.11 ~aSet0(szNzAzT0)|spl0_10),
% 244.03/31.11 inference(component_clause,[status(thm)],[f557])).
% 244.03/31.11 fof(f586,plain,(
% 244.03/31.11 $false|spl0_10),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f193,f559])).
% 244.03/31.11 fof(f587,plain,(
% 244.03/31.11 spl0_10),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f586])).
% 244.03/31.11 fof(f591,plain,(
% 244.03/31.11 spl0_17 <=> aSet0(slcrc0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f593,plain,(
% 244.03/31.11 ~aSet0(slcrc0)|spl0_17),
% 244.03/31.11 inference(component_clause,[status(thm)],[f591])).
% 244.03/31.11 fof(f600,plain,(
% 244.03/31.11 $false|spl0_17),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f593,f474])).
% 244.03/31.11 fof(f601,plain,(
% 244.03/31.11 spl0_17),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f600])).
% 244.03/31.11 fof(f1186,plain,(
% 244.03/31.11 $false|spl0_4),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f462,f535])).
% 244.03/31.11 fof(f1187,plain,(
% 244.03/31.11 spl0_4),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f1186])).
% 244.03/31.11 fof(f1199,plain,(
% 244.03/31.11 spl0_113 <=> aSet0(xD)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f1487,plain,(
% 244.03/31.11 spl0_148 <=> isCountable0(slcrc0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f1490,plain,(
% 244.03/31.11 ~aSet0(slcrc0)|~isCountable0(slcrc0)),
% 244.03/31.11 inference(resolution,[status(thm)],[f138,f134])).
% 244.03/31.11 fof(f1491,plain,(
% 244.03/31.11 ~spl0_17|~spl0_148),
% 244.03/31.11 inference(split_clause,[status(thm)],[f1490,f591,f1487])).
% 244.03/31.11 fof(f1608,plain,(
% 244.03/31.11 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f156,f145])).
% 244.03/31.11 fof(f2013,plain,(
% 244.03/31.11 spl0_203 <=> aElementOf0(xP,slbdtsldtrb0(xD,xk))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f2014,plain,(
% 244.03/31.11 aElementOf0(xP,slbdtsldtrb0(xD,xk))|~spl0_203),
% 244.03/31.11 inference(component_clause,[status(thm)],[f2013])).
% 244.03/31.11 fof(f2645,plain,(
% 244.03/31.11 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f1608,f145])).
% 244.03/31.11 fof(f2871,plain,(
% 244.03/31.11 spl0_303 <=> aSet0(sdtlpdtrp0(xN,xn))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f2874,plain,(
% 244.03/31.11 spl0_304 <=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f2877,plain,(
% 244.03/31.11 ~aSet0(sdtlpdtrp0(xN,xn))|~aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))|aSet0(xD)),
% 244.03/31.11 inference(paramodulation,[status(thm)],[f466,f483])).
% 244.03/31.11 fof(f2878,plain,(
% 244.03/31.11 ~spl0_303|~spl0_304|spl0_113),
% 244.03/31.11 inference(split_clause,[status(thm)],[f2877,f2871,f2874,f1199])).
% 244.03/31.11 fof(f2913,plain,(
% 244.03/31.11 spl0_311 <=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f2914,plain,(
% 244.03/31.11 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))|~spl0_311),
% 244.03/31.11 inference(component_clause,[status(thm)],[f2913])).
% 244.03/31.11 fof(f2915,plain,(
% 244.03/31.11 ~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))|spl0_311),
% 244.03/31.11 inference(component_clause,[status(thm)],[f2913])).
% 244.03/31.11 fof(f2931,plain,(
% 244.03/31.11 spl0_315 <=> isCountable0(sdtlpdtrp0(xN,xn))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f2933,plain,(
% 244.03/31.11 ~isCountable0(sdtlpdtrp0(xN,xn))|spl0_315),
% 244.03/31.11 inference(component_clause,[status(thm)],[f2931])).
% 244.03/31.11 fof(f6496,plain,(
% 244.03/31.11 spl0_764 <=> aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f6497,plain,(
% 244.03/31.11 aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)|~spl0_764),
% 244.03/31.11 inference(component_clause,[status(thm)],[f6496])).
% 244.03/31.11 fof(f6498,plain,(
% 244.03/31.11 ~aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)|spl0_764),
% 244.03/31.11 inference(component_clause,[status(thm)],[f6496])).
% 244.03/31.11 fof(f6499,plain,(
% 244.03/31.11 spl0_765 <=> sdtlpdtrp0(xN,xn)=slcrc0),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f6500,plain,(
% 244.03/31.11 sdtlpdtrp0(xN,xn)=slcrc0|~spl0_765),
% 244.03/31.11 inference(component_clause,[status(thm)],[f6499])).
% 244.03/31.11 fof(f6502,plain,(
% 244.03/31.11 ~aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)|sdtlpdtrp0(xN,xn)=slcrc0|spl0_311),
% 244.03/31.11 inference(resolution,[status(thm)],[f487,f2915])).
% 244.03/31.11 fof(f6503,plain,(
% 244.03/31.11 ~spl0_764|spl0_765|spl0_311),
% 244.03/31.11 inference(split_clause,[status(thm)],[f6502,f6496,f6499,f2913])).
% 244.03/31.11 fof(f7622,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|spl0_764),
% 244.03/31.11 inference(resolution,[status(thm)],[f398,f6498])).
% 244.03/31.11 fof(f7623,plain,(
% 244.03/31.11 ~spl0_4|spl0_764),
% 244.03/31.11 inference(split_clause,[status(thm)],[f7622,f533,f6496])).
% 244.03/31.11 fof(f7637,plain,(
% 244.03/31.11 spl0_871 <=> ~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f7638,plain,(
% 244.03/31.11 ![X0]: (~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,szNzAzT0)|~spl0_871)),
% 244.03/31.11 inference(component_clause,[status(thm)],[f7637])).
% 244.03/31.11 fof(f7640,plain,(
% 244.03/31.11 ![X0]: (~aSet0(szNzAzT0)|~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,szNzAzT0)|~spl0_764)),
% 244.03/31.11 inference(resolution,[status(thm)],[f6497,f146])).
% 244.03/31.11 fof(f7641,plain,(
% 244.03/31.11 ~spl0_10|spl0_871|~spl0_764),
% 244.03/31.11 inference(split_clause,[status(thm)],[f7640,f557,f7637,f6496])).
% 244.03/31.11 fof(f7650,plain,(
% 244.03/31.11 ~aSet0(szNzAzT0)|aSet0(sdtlpdtrp0(xN,xn))|~spl0_764),
% 244.03/31.11 inference(resolution,[status(thm)],[f6497,f145])).
% 244.03/31.11 fof(f7651,plain,(
% 244.03/31.11 ~spl0_10|spl0_303|~spl0_764),
% 244.03/31.11 inference(split_clause,[status(thm)],[f7650,f557,f2871,f6496])).
% 244.03/31.11 fof(f11913,plain,(
% 244.03/31.11 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),szNzAzT0)|~spl0_311|~spl0_871),
% 244.03/31.11 inference(resolution,[status(thm)],[f2914,f7638])).
% 244.03/31.11 fof(f12267,plain,(
% 244.03/31.11 spl0_956 <=> ~aSet0(X0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f12268,plain,(
% 244.03/31.11 ![X0]: (~aSet0(X0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0)|~spl0_956)),
% 244.03/31.11 inference(component_clause,[status(thm)],[f12267])).
% 244.03/31.11 fof(f12270,plain,(
% 244.03/31.11 spl0_957 <=> aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f12272,plain,(
% 244.03/31.11 ~aElementOf0(sbrdtbr0(xP),szNzAzT0)|spl0_957),
% 244.03/31.11 inference(component_clause,[status(thm)],[f12270])).
% 244.03/31.11 fof(f12273,plain,(
% 244.03/31.11 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(xP),szNzAzT0)|aElementOf0(xP,slbdtsldtrb0(X0,xk))|~aSubsetOf0(xP,X0))),
% 244.03/31.11 inference(paramodulation,[status(thm)],[f459,f500])).
% 244.03/31.11 fof(f12274,plain,(
% 244.03/31.11 spl0_956|~spl0_957),
% 244.03/31.11 inference(split_clause,[status(thm)],[f12273,f12267,f12270])).
% 244.03/31.11 fof(f12297,plain,(
% 244.03/31.11 ~aElementOf0(xk,szNzAzT0)|spl0_957),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f459,f12272])).
% 244.03/31.11 fof(f12487,plain,(
% 244.03/31.11 $false|spl0_957),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f12297,f389])).
% 244.03/31.11 fof(f12488,plain,(
% 244.03/31.11 spl0_957),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f12487])).
% 244.03/31.11 fof(f13456,plain,(
% 244.03/31.11 spl0_1037 <=> aElementOf0(sz00,szDzozmdt0(xN))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f13458,plain,(
% 244.03/31.11 ~aElementOf0(sz00,szDzozmdt0(xN))|spl0_1037),
% 244.03/31.11 inference(component_clause,[status(thm)],[f13456])).
% 244.03/31.11 fof(f13464,plain,(
% 244.03/31.11 spl0_1039 <=> aElementOf0(xn,szDzozmdt0(xe))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f13466,plain,(
% 244.03/31.11 ~aElementOf0(xn,szDzozmdt0(xe))|spl0_1039),
% 244.03/31.11 inference(component_clause,[status(thm)],[f13464])).
% 244.03/31.11 fof(f13472,plain,(
% 244.03/31.11 spl0_1041 <=> aElementOf0(xn,szDzozmdt0(xd))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f13474,plain,(
% 244.03/31.11 ~aElementOf0(xn,szDzozmdt0(xd))|spl0_1041),
% 244.03/31.11 inference(component_clause,[status(thm)],[f13472])).
% 244.03/31.11 fof(f13477,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|spl0_1041),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f432,f13474])).
% 244.03/31.11 fof(f13478,plain,(
% 244.03/31.11 $false|spl0_1041),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f13477,f462])).
% 244.03/31.11 fof(f13479,plain,(
% 244.03/31.11 spl0_1041),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f13478])).
% 244.03/31.11 fof(f13480,plain,(
% 244.03/31.11 ~aElementOf0(sz00,szNzAzT0)|spl0_1037),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f393,f13458])).
% 244.03/31.11 fof(f13481,plain,(
% 244.03/31.11 $false|spl0_1037),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f13480,f195])).
% 244.03/31.11 fof(f13482,plain,(
% 244.03/31.11 spl0_1037),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f13481])).
% 244.03/31.11 fof(f13483,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|spl0_1039),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f428,f13466])).
% 244.03/31.11 fof(f13484,plain,(
% 244.03/31.11 $false|spl0_1039),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f13483,f462])).
% 244.03/31.11 fof(f13485,plain,(
% 244.03/31.11 spl0_1039),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f13484])).
% 244.03/31.11 fof(f14475,plain,(
% 244.03/31.11 ~aSet0(szNzAzT0)|aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))|~spl0_311|~spl0_871),
% 244.03/31.11 inference(resolution,[status(thm)],[f11913,f124])).
% 244.03/31.11 fof(f14476,plain,(
% 244.03/31.11 ~spl0_10|spl0_304|~spl0_311|~spl0_871),
% 244.03/31.11 inference(split_clause,[status(thm)],[f14475,f557,f2874,f2913,f7637])).
% 244.03/31.11 fof(f14960,plain,(
% 244.03/31.11 spl0_1164 <=> aSubsetOf0(xP,xD)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f14962,plain,(
% 244.03/31.11 ~aSubsetOf0(xP,xD)|spl0_1164),
% 244.03/31.11 inference(component_clause,[status(thm)],[f14960])).
% 244.03/31.11 fof(f14963,plain,(
% 244.03/31.11 ~aSet0(xD)|~aSubsetOf0(xP,xD)|~spl0_956),
% 244.03/31.11 inference(resolution,[status(thm)],[f12268,f467])).
% 244.03/31.11 fof(f14964,plain,(
% 244.03/31.11 ~spl0_113|~spl0_1164|~spl0_956),
% 244.03/31.11 inference(split_clause,[status(thm)],[f14963,f1199,f14960,f12267])).
% 244.03/31.11 fof(f15837,plain,(
% 244.03/31.11 spl0_1282 <=> isCountable0(szDzozmdt0(xN))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f15839,plain,(
% 244.03/31.11 ~isCountable0(szDzozmdt0(xN))|spl0_1282),
% 244.03/31.11 inference(component_clause,[status(thm)],[f15837])).
% 244.03/31.11 fof(f15848,plain,(
% 244.03/31.11 spl0_1285 <=> isCountable0(szDzozmdt0(xC))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f15850,plain,(
% 244.03/31.11 ~isCountable0(szDzozmdt0(xC))|spl0_1285),
% 244.03/31.11 inference(component_clause,[status(thm)],[f15848])).
% 244.03/31.11 fof(f15859,plain,(
% 244.03/31.11 spl0_1288 <=> isCountable0(szDzozmdt0(xe))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f15861,plain,(
% 244.03/31.11 ~isCountable0(szDzozmdt0(xe))|spl0_1288),
% 244.03/31.11 inference(component_clause,[status(thm)],[f15859])).
% 244.03/31.11 fof(f15870,plain,(
% 244.03/31.11 spl0_1291 <=> isCountable0(szDzozmdt0(xd))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f15872,plain,(
% 244.03/31.11 ~isCountable0(szDzozmdt0(xd))|spl0_1291),
% 244.03/31.11 inference(component_clause,[status(thm)],[f15870])).
% 244.03/31.11 fof(f15878,plain,(
% 244.03/31.11 ~isCountable0(szNzAzT0)|spl0_1291),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f432,f15872])).
% 244.03/31.11 fof(f15879,plain,(
% 244.03/31.11 $false|spl0_1291),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f15878,f194])).
% 244.03/31.11 fof(f15880,plain,(
% 244.03/31.11 spl0_1291),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f15879])).
% 244.03/31.11 fof(f15881,plain,(
% 244.03/31.11 ~isCountable0(szNzAzT0)|spl0_1288),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f428,f15861])).
% 244.03/31.11 fof(f15882,plain,(
% 244.03/31.11 $false|spl0_1288),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f15881,f194])).
% 244.03/31.11 fof(f15883,plain,(
% 244.03/31.11 spl0_1288),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f15882])).
% 244.03/31.11 fof(f15884,plain,(
% 244.03/31.11 ~isCountable0(szNzAzT0)|spl0_1285),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f408,f15850])).
% 244.03/31.11 fof(f15885,plain,(
% 244.03/31.11 $false|spl0_1285),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f15884,f194])).
% 244.03/31.11 fof(f15886,plain,(
% 244.03/31.11 spl0_1285),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f15885])).
% 244.03/31.11 fof(f15887,plain,(
% 244.03/31.11 ~isCountable0(szNzAzT0)|spl0_1282),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f393,f15839])).
% 244.03/31.11 fof(f15888,plain,(
% 244.03/31.11 $false|spl0_1282),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f15887,f194])).
% 244.03/31.11 fof(f15889,plain,(
% 244.03/31.11 spl0_1282),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f15888])).
% 244.03/31.11 fof(f15937,plain,(
% 244.03/31.11 spl0_1302 <=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f15939,plain,(
% 244.03/31.11 ~aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)|spl0_1302),
% 244.03/31.11 inference(component_clause,[status(thm)],[f15937])).
% 244.03/31.11 fof(f15955,plain,(
% 244.03/31.11 $false|spl0_1302),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f15939,f380])).
% 244.03/31.11 fof(f15956,plain,(
% 244.03/31.11 spl0_1302),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f15955])).
% 244.03/31.11 fof(f16151,plain,(
% 244.03/31.11 $false|~spl0_203),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f2014,f467])).
% 244.03/31.11 fof(f16152,plain,(
% 244.03/31.11 ~spl0_203),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f16151])).
% 244.03/31.11 fof(f16993,plain,(
% 244.03/31.11 ![X0]: (~aElementOf0(X0,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X0))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f395,f398])).
% 244.03/31.11 fof(f17010,plain,(
% 244.03/31.11 spl0_1407 <=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f17011,plain,(
% 244.03/31.11 aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)|~spl0_1407),
% 244.03/31.11 inference(component_clause,[status(thm)],[f17010])).
% 244.03/31.11 fof(f17013,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,xn))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)),
% 244.03/31.11 inference(paramodulation,[status(thm)],[f466,f16993])).
% 244.03/31.11 fof(f17014,plain,(
% 244.03/31.11 ~spl0_4|~spl0_315|spl0_1407),
% 244.03/31.11 inference(split_clause,[status(thm)],[f17013,f533,f2931,f17010])).
% 244.03/31.11 fof(f17015,plain,(
% 244.03/31.11 spl0_1408 <=> isCountable0(sdtlpdtrp0(xN,sz00))),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f17017,plain,(
% 244.03/31.11 ~isCountable0(sdtlpdtrp0(xN,sz00))|spl0_1408),
% 244.03/31.11 inference(component_clause,[status(thm)],[f17015])).
% 244.03/31.11 fof(f17028,plain,(
% 244.03/31.11 ~isCountable0(xS)|spl0_1408),
% 244.03/31.11 inference(forward_demodulation,[status(thm)],[f394,f17017])).
% 244.03/31.11 fof(f17029,plain,(
% 244.03/31.11 $false|spl0_1408),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f17028,f377])).
% 244.03/31.11 fof(f17030,plain,(
% 244.03/31.11 spl0_1408),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f17029])).
% 244.03/31.11 fof(f17043,plain,(
% 244.03/31.11 ~aElementOf0(xn,szNzAzT0)|spl0_315),
% 244.03/31.11 inference(resolution,[status(thm)],[f399,f2933])).
% 244.03/31.11 fof(f17044,plain,(
% 244.03/31.11 ~spl0_4|spl0_315),
% 244.03/31.11 inference(split_clause,[status(thm)],[f17043,f533,f2931])).
% 244.03/31.11 fof(f17274,plain,(
% 244.03/31.11 spl0_1446 <=> ~aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aSubsetOf0(X0,xD)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f17275,plain,(
% 244.03/31.11 ![X0]: (~aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aSubsetOf0(X0,xD)|~spl0_1446)),
% 244.03/31.11 inference(component_clause,[status(thm)],[f17274])).
% 244.03/31.11 fof(f17277,plain,(
% 244.03/31.11 ![X0]: (~aSet0(xD)|~aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|aSubsetOf0(X0,xD)|~spl0_1407)),
% 244.03/31.11 inference(resolution,[status(thm)],[f17011,f2645])).
% 244.03/31.11 fof(f17278,plain,(
% 244.03/31.11 ~spl0_113|spl0_1446|~spl0_1407),
% 244.03/31.11 inference(split_clause,[status(thm)],[f17277,f1199,f17274,f17010])).
% 244.03/31.11 fof(f18032,plain,(
% 244.03/31.11 spl0_1564 <=> isCountable0(szNzAzT0)),
% 244.03/31.11 introduced(split_symbol_definition)).
% 244.03/31.11 fof(f18034,plain,(
% 244.03/31.11 ~isCountable0(szNzAzT0)|spl0_1564),
% 244.03/31.11 inference(component_clause,[status(thm)],[f18032])).
% 244.03/31.11 fof(f18062,plain,(
% 244.03/31.11 $false|spl0_1564),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f18034,f194])).
% 244.03/31.11 fof(f18063,plain,(
% 244.03/31.11 spl0_1564),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f18062])).
% 244.03/31.11 fof(f18797,plain,(
% 244.03/31.11 aSubsetOf0(xP,xD)|~spl0_1446),
% 244.03/31.11 inference(resolution,[status(thm)],[f465,f17275])).
% 244.03/31.11 fof(f18798,plain,(
% 244.03/31.11 $false|spl0_1164|~spl0_1446),
% 244.03/31.11 inference(forward_subsumption_resolution,[status(thm)],[f18797,f14962])).
% 244.03/31.11 fof(f18799,plain,(
% 244.03/31.11 spl0_1164|~spl0_1446),
% 244.03/31.11 inference(contradiction_clause,[status(thm)],[f18798])).
% 244.64/31.14 fof(f19158,plain,(
% 244.64/31.14 spl0_1679 <=> aElementOf0(xn,szDzozmdt0(xN))),
% 244.64/31.14 introduced(split_symbol_definition)).
% 244.64/31.14 fof(f19160,plain,(
% 244.64/31.14 ~aElementOf0(xn,szDzozmdt0(xN))|spl0_1679),
% 244.64/31.14 inference(component_clause,[status(thm)],[f19158])).
% 244.64/31.14 fof(f19176,plain,(
% 244.64/31.14 ~aElementOf0(xn,szNzAzT0)|spl0_1679),
% 244.64/31.14 inference(forward_demodulation,[status(thm)],[f393,f19160])).
% 244.64/31.14 fof(f19177,plain,(
% 244.64/31.14 $false|spl0_1679),
% 244.64/31.14 inference(forward_subsumption_resolution,[status(thm)],[f19176,f462])).
% 244.64/31.14 fof(f19178,plain,(
% 244.64/31.14 spl0_1679),
% 244.64/31.14 inference(contradiction_clause,[status(thm)],[f19177])).
% 244.64/31.14 fof(f19237,plain,(
% 244.64/31.14 ~aElementOf0(xn,szNzAzT0)|isCountable0(slcrc0)|~spl0_765),
% 244.64/31.14 inference(paramodulation,[status(thm)],[f6500,f399])).
% 244.64/31.14 fof(f19238,plain,(
% 244.64/31.14 ~spl0_4|spl0_148|~spl0_765),
% 244.64/31.14 inference(split_clause,[status(thm)],[f19237,f533,f1487,f6499])).
% 244.64/31.14 fof(f19260,plain,(
% 244.64/31.14 $false),
% 244.64/31.14 inference(sat_refutation,[status(thm)],[f587,f601,f1187,f1491,f2878,f6503,f7623,f7641,f7651,f12274,f12488,f13479,f13482,f13485,f14476,f14964,f15880,f15883,f15886,f15889,f15956,f16152,f17014,f17030,f17044,f17278,f18063,f18799,f19178,f19238])).
% 244.64/31.14 % SZS output end CNFRefutation for theBenchmark.p
% 244.87/31.21 % Elapsed time: 30.887204 seconds
% 244.87/31.21 % CPU time: 244.872880 seconds
% 244.87/31.21 % Total memory used: 689.854 MB
% 244.87/31.21 % Net memory used: 673.614 MB
%------------------------------------------------------------------------------