TSTP Solution File: NUM581+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:47 EDT 2023
% Result : Theorem 5.11s 1.05s
% Output : CNFRefutation 5.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:50:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 5.11/1.05 % Refutation found
% 5.11/1.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.11/1.05 % SZS output start CNFRefutation for theBenchmark
% 5.11/1.05 fof(f3,axiom,(
% 5.11/1.05 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f10,definition,(
% 5.11/1.05 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f15,definition,(
% 5.11/1.05 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtpldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& ( aElementOf0(W3,W0)| W3 = W1 ) ) ) )) ) )) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f16,definition,(
% 5.11/1.05 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtmndt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& aElementOf0(W3,W0)& W3 != W1 ) ) )) ) )) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f17,axiom,(
% 5.11/1.05 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) )) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f23,axiom,(
% 5.11/1.05 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f24,axiom,(
% 5.11/1.05 aElementOf0(sz00,szNzAzT0) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f30,axiom,(
% 5.11/1.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f81,hypothesis,(
% 5.11/1.05 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ) ))| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,W0))& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f82,hypothesis,(
% 5.11/1.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f83,hypothesis,(
% 5.11/1.05 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> ( (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ) )),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f85,hypothesis,(
% 5.11/1.05 aElementOf0(xi,szNzAzT0) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f86,hypothesis,(
% 5.11/1.05 ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xi))& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ))& aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ))& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f87,hypothesis,(
% 5.11/1.05 ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& ( aElementOf0(W0,xQ)| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f88,conjecture,(
% 5.11/1.05 ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) ))=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& ( aElementOf0(W0,xQ)| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ) ),
% 5.11/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.11/1.05 fof(f89,negated_conjecture,(
% 5.11/1.05 ~(( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) ))=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W0)& ( aElementOf0(W0,xQ)| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ) )),
% 5.11/1.05 inference(negated_conjecture,[status(cth)],[f88])).
% 5.11/1.05 fof(f96,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.11/1.05 fof(f97,plain,(
% 5.11/1.05 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f96])).
% 5.11/1.05 fof(f114,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 5.11/1.05 fof(f115,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f114])).
% 5.11/1.05 fof(f116,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f115])).
% 5.11/1.05 fof(f117,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 5.11/1.05 inference(skolemization,[status(esa)],[f116])).
% 5.11/1.05 fof(f119,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f117])).
% 5.11/1.05 fof(f130,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtpldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 5.11/1.05 fof(f131,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtpldt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1)))&(aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))))))&(W2=sdtpldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))&(aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f130])).
% 5.11/1.05 fof(f132,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtpldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))&(![W3]: (aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1))))))))&(![W2]: (W2=sdtpldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))&(aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f131])).
% 5.11/1.05 fof(f133,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtpldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))&(![W3]: (aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1))))))))&(![W2]: (W2=sdtpldt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_2(W2,W1,W0),W2)|(~aElement0(sk0_2(W2,W1,W0))|(~aElementOf0(sk0_2(W2,W1,W0),W0)&~sk0_2(W2,W1,W0)=W1)))&(aElementOf0(sk0_2(W2,W1,W0),W2)|(aElement0(sk0_2(W2,W1,W0))&(aElementOf0(sk0_2(W2,W1,W0),W0)|sk0_2(W2,W1,W0)=W1)))))))))),
% 5.11/1.05 inference(skolemization,[status(esa)],[f132])).
% 5.11/1.05 fof(f136,plain,(
% 5.11/1.05 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElementOf0(X3,X0)|X3=X1)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f133])).
% 5.11/1.05 fof(f138,plain,(
% 5.11/1.05 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~X3=X1)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f133])).
% 5.11/1.05 fof(f143,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 5.11/1.05 fof(f144,plain,(
% 5.11/1.05 ![W0,W1,W3]: (pd0_0(W3,W1,W0)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))),
% 5.11/1.05 introduced(predicate_definition,[f143])).
% 5.11/1.05 fof(f145,plain,(
% 5.11/1.05 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>pd0_0(W3,W1,W0)))))))),
% 5.11/1.05 inference(formula_renaming,[status(thm)],[f143,f144])).
% 5.11/1.05 fof(f146,plain,(
% 5.11/1.05 ![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)))))))))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f145])).
% 5.11/1.05 fof(f147,plain,(
% 5.11/1.05 ![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)))))))))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f146])).
% 5.11/1.05 fof(f148,plain,(
% 5.11/1.05 ![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))))))))),
% 5.11/1.05 inference(skolemization,[status(esa)],[f147])).
% 5.11/1.05 fof(f149,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aSet0(X2))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f148])).
% 5.11/1.05 fof(f150,plain,(
% 5.11/1.05 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|~aElementOf0(X3,X2)|pd0_0(X3,X1,X0))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f148])).
% 5.11/1.05 fof(f154,plain,(
% 5.11/1.05 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|sdtpldt0(sdtmndt0(W0,W1),W1)=W0)))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 5.11/1.05 fof(f155,plain,(
% 5.11/1.05 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|sdtpldt0(sdtmndt0(X0,X1),X1)=X0)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f154])).
% 5.11/1.05 fof(f166,plain,(
% 5.11/1.05 aSet0(szNzAzT0)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f23])).
% 5.11/1.05 fof(f168,plain,(
% 5.11/1.05 aElementOf0(sz00,szNzAzT0)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f24])).
% 5.11/1.05 fof(f182,plain,(
% 5.11/1.05 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 5.11/1.05 fof(f183,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f182])).
% 5.11/1.05 fof(f386,plain,(
% 5.11/1.05 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0)))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 5.11/1.05 fof(f387,plain,(
% 5.11/1.05 ![W0]: (pd0_4(W0)=>(((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 5.11/1.05 introduced(predicate_definition,[f386])).
% 5.11/1.05 fof(f388,plain,(
% 5.11/1.05 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 5.11/1.05 inference(formula_renaming,[status(thm)],[f386,f387])).
% 5.11/1.05 fof(f389,plain,(
% 5.11/1.05 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: ((~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f388])).
% 5.11/1.05 fof(f390,plain,(
% 5.11/1.05 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f389])).
% 5.11/1.05 fof(f393,plain,(
% 5.11/1.05 sdtlpdtrp0(xN,sz00)=xS),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f390])).
% 5.11/1.05 fof(f405,plain,(
% 5.11/1.05 ![W0]: (~aElementOf0(W0,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 5.11/1.05 fof(f406,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0)))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f405])).
% 5.11/1.05 fof(f408,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f405])).
% 5.11/1.05 fof(f410,plain,(
% 5.11/1.05 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|((![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|aElementOf0(W2,sdtlpdtrp0(xN,W1))))&aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 5.11/1.05 fof(f411,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|~aElementOf0(X2,sdtlpdtrp0(xN,X0))|aElementOf0(X2,sdtlpdtrp0(xN,X1)))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f410])).
% 5.11/1.05 fof(f420,plain,(
% 5.11/1.05 aElementOf0(xi,szNzAzT0)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f85])).
% 5.11/1.05 fof(f421,plain,(
% 5.11/1.05 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 5.11/1.05 fof(f422,plain,(
% 5.11/1.05 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: ((~aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f421])).
% 5.11/1.05 fof(f423,plain,(
% 5.11/1.05 (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f422])).
% 5.11/1.05 fof(f424,plain,(
% 5.11/1.05 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f423])).
% 5.11/1.05 fof(f431,plain,(
% 5.11/1.05 aSet0(xQ)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f423])).
% 5.11/1.05 fof(f432,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f423])).
% 5.11/1.05 fof(f436,plain,(
% 5.11/1.05 (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 5.11/1.05 fof(f437,plain,(
% 5.11/1.05 (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: ((~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f436])).
% 5.11/1.05 fof(f438,plain,(
% 5.11/1.05 (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&((![W0]: (~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f437])).
% 5.11/1.05 fof(f441,plain,(
% 5.11/1.05 aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f438])).
% 5.11/1.05 fof(f447,plain,(
% 5.11/1.05 ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),
% 5.11/1.05 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 5.11/1.05 fof(f448,plain,(
% 5.11/1.05 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W0]: ((~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f447])).
% 5.11/1.05 fof(f449,plain,(
% 5.11/1.05 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W0]: (~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((?[W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f448])).
% 5.11/1.05 fof(f450,plain,(
% 5.11/1.05 (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W0]: (~aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(aElement0(W0)&(aElementOf0(W0,xQ)|W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&(![W0]: (aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|(~aElement0(W0)|(~aElementOf0(W0,xQ)&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))))&((aElementOf0(sk0_24,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~aElementOf0(sk0_24,xS))&~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),
% 5.11/1.05 inference(skolemization,[status(esa)],[f449])).
% 5.11/1.05 fof(f458,plain,(
% 5.11/1.05 aElementOf0(sk0_24,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f450])).
% 5.11/1.05 fof(f459,plain,(
% 5.11/1.05 ~aElementOf0(sk0_24,xS)),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f450])).
% 5.11/1.05 fof(f461,plain,(
% 5.11/1.05 ![W0,W1,W3]: ((~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))&(pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 5.11/1.05 inference(NNF_transformation,[status(esa)],[f144])).
% 5.11/1.05 fof(f462,plain,(
% 5.11/1.05 (![W0,W1,W3]: (~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))&(![W0,W1,W3]: (pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 5.11/1.05 inference(miniscoping,[status(esa)],[f461])).
% 5.11/1.05 fof(f464,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|aElementOf0(X0,X2))),
% 5.11/1.05 inference(cnf_transformation,[status(esa)],[f462])).
% 5.11/1.05 fof(f519,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X0,X1))|aElementOf0(X2,X0)|X2=X1)),
% 5.11/1.05 inference(destructive_equality_resolution,[status(esa)],[f136])).
% 5.11/1.05 fof(f522,plain,(
% 5.11/1.05 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1))|~aElement0(X1))),
% 5.11/1.05 inference(destructive_equality_resolution,[status(esa)],[f138])).
% 5.11/1.05 fof(f523,plain,(
% 5.11/1.05 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1)))),
% 5.11/1.05 inference(duplicate_literals_removal,[status(esa)],[f522])).
% 5.11/1.05 fof(f527,plain,(
% 5.11/1.05 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aSet0(sdtmndt0(X0,X1)))),
% 5.11/1.05 inference(destructive_equality_resolution,[status(esa)],[f149])).
% 5.11/1.05 fof(f528,plain,(
% 5.11/1.05 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtmndt0(X0,X1))|pd0_0(X2,X1,X0))),
% 5.11/1.05 inference(destructive_equality_resolution,[status(esa)],[f150])).
% 5.11/1.05 fof(f574,plain,(
% 5.11/1.05 spl0_0 <=> aSet0(szNzAzT0)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f576,plain,(
% 5.11/1.05 ~aSet0(szNzAzT0)|spl0_0),
% 5.11/1.05 inference(component_clause,[status(thm)],[f574])).
% 5.11/1.05 fof(f590,plain,(
% 5.11/1.05 $false|spl0_0),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f576,f166])).
% 5.11/1.05 fof(f591,plain,(
% 5.11/1.05 spl0_0),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f590])).
% 5.11/1.05 fof(f602,plain,(
% 5.11/1.05 spl0_6 <=> aElementOf0(sz00,szNzAzT0)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f604,plain,(
% 5.11/1.05 ~aElementOf0(sz00,szNzAzT0)|spl0_6),
% 5.11/1.05 inference(component_clause,[status(thm)],[f602])).
% 5.11/1.05 fof(f610,plain,(
% 5.11/1.05 $false|spl0_6),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f604,f168])).
% 5.11/1.05 fof(f611,plain,(
% 5.11/1.05 spl0_6),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f610])).
% 5.11/1.05 fof(f612,plain,(
% 5.11/1.05 aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)),
% 5.11/1.05 inference(resolution,[status(thm)],[f408,f420])).
% 5.11/1.05 fof(f618,plain,(
% 5.11/1.05 spl0_9 <=> ~aElementOf0(X0,sdtlpdtrp0(xN,xi))|aElementOf0(X0,szNzAzT0)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f619,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,sdtlpdtrp0(xN,xi))|aElementOf0(X0,szNzAzT0)|~spl0_9)),
% 5.11/1.05 inference(component_clause,[status(thm)],[f618])).
% 5.11/1.05 fof(f621,plain,(
% 5.11/1.05 ![X0]: (~aSet0(szNzAzT0)|~aElementOf0(X0,sdtlpdtrp0(xN,xi))|aElementOf0(X0,szNzAzT0))),
% 5.11/1.05 inference(resolution,[status(thm)],[f612,f119])).
% 5.11/1.05 fof(f622,plain,(
% 5.11/1.05 ~spl0_0|spl0_9),
% 5.11/1.05 inference(split_clause,[status(thm)],[f621,f574,f618])).
% 5.11/1.05 fof(f632,plain,(
% 5.11/1.05 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,sdtpldt0(X0,X2))|aElementOf0(X1,X0)|X1=X2|~aSet0(X3)|~aElementOf0(X2,X3))),
% 5.11/1.05 inference(resolution,[status(thm)],[f519,f97])).
% 5.11/1.05 fof(f642,plain,(
% 5.11/1.05 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)|~spl0_9),
% 5.11/1.05 inference(resolution,[status(thm)],[f424,f619])).
% 5.11/1.05 fof(f698,plain,(
% 5.11/1.05 spl0_24 <=> aSet0(xQ)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f700,plain,(
% 5.11/1.05 ~aSet0(xQ)|spl0_24),
% 5.11/1.05 inference(component_clause,[status(thm)],[f698])).
% 5.11/1.05 fof(f701,plain,(
% 5.11/1.05 spl0_25 <=> aElementOf0(sk0_24,xQ)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f702,plain,(
% 5.11/1.05 aElementOf0(sk0_24,xQ)|~spl0_25),
% 5.11/1.05 inference(component_clause,[status(thm)],[f701])).
% 5.11/1.05 fof(f704,plain,(
% 5.11/1.05 spl0_26 <=> sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f705,plain,(
% 5.11/1.05 sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))|~spl0_26),
% 5.11/1.05 inference(component_clause,[status(thm)],[f704])).
% 5.11/1.05 fof(f707,plain,(
% 5.11/1.05 spl0_27 <=> ~aSet0(X0)|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f708,plain,(
% 5.11/1.05 ![X0]: (~aSet0(X0)|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)|~spl0_27)),
% 5.11/1.05 inference(component_clause,[status(thm)],[f707])).
% 5.11/1.05 fof(f710,plain,(
% 5.11/1.05 ![X0]: (~aSet0(xQ)|aElementOf0(sk0_24,xQ)|sk0_24=szmzizndt0(sdtlpdtrp0(xN,xi))|~aSet0(X0)|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0))),
% 5.11/1.05 inference(resolution,[status(thm)],[f632,f458])).
% 5.11/1.05 fof(f711,plain,(
% 5.11/1.05 ~spl0_24|spl0_25|spl0_26|spl0_27),
% 5.11/1.05 inference(split_clause,[status(thm)],[f710,f698,f701,f704,f707])).
% 5.11/1.05 fof(f712,plain,(
% 5.11/1.05 $false|spl0_24),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f700,f431])).
% 5.11/1.05 fof(f713,plain,(
% 5.11/1.05 spl0_24),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f712])).
% 5.11/1.05 fof(f714,plain,(
% 5.11/1.05 ~aSet0(szNzAzT0)|~spl0_27|~spl0_9),
% 5.11/1.05 inference(resolution,[status(thm)],[f708,f642])).
% 5.11/1.05 fof(f715,plain,(
% 5.11/1.05 ~spl0_0|~spl0_27|~spl0_9),
% 5.11/1.05 inference(split_clause,[status(thm)],[f714,f574,f707,f618])).
% 5.11/1.05 fof(f721,plain,(
% 5.11/1.05 spl0_29 <=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f723,plain,(
% 5.11/1.05 ~aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))|spl0_29),
% 5.11/1.05 inference(component_clause,[status(thm)],[f721])).
% 5.11/1.05 fof(f729,plain,(
% 5.11/1.05 spl0_31 <=> aElement0(sk0_24)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f731,plain,(
% 5.11/1.05 ~aElement0(sk0_24)|spl0_31),
% 5.11/1.05 inference(component_clause,[status(thm)],[f729])).
% 5.11/1.05 fof(f743,plain,(
% 5.11/1.05 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_26),
% 5.11/1.05 inference(backward_demodulation,[status(thm)],[f705,f424])).
% 5.11/1.05 fof(f773,plain,(
% 5.11/1.05 ![X0]: (~aSet0(X0)|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)|spl0_29)),
% 5.11/1.05 inference(resolution,[status(thm)],[f723,f97])).
% 5.11/1.05 fof(f774,plain,(
% 5.11/1.05 spl0_27|spl0_29),
% 5.11/1.05 inference(split_clause,[status(thm)],[f773,f707,f721])).
% 5.11/1.05 fof(f777,plain,(
% 5.11/1.05 ![X0]: (~aSet0(X0)|~aElementOf0(sk0_24,X0)|spl0_31)),
% 5.11/1.05 inference(resolution,[status(thm)],[f731,f97])).
% 5.11/1.05 fof(f780,plain,(
% 5.11/1.05 ~aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))|spl0_31),
% 5.11/1.05 inference(resolution,[status(thm)],[f777,f458])).
% 5.11/1.05 fof(f781,plain,(
% 5.11/1.05 $false|spl0_31),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f780,f441])).
% 5.11/1.05 fof(f782,plain,(
% 5.11/1.05 spl0_31),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f781])).
% 5.11/1.05 fof(f839,plain,(
% 5.11/1.05 aElementOf0(sk0_24,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~spl0_25),
% 5.11/1.05 inference(resolution,[status(thm)],[f432,f702])).
% 5.11/1.05 fof(f842,plain,(
% 5.11/1.05 spl0_39 <=> aElementOf0(xi,szNzAzT0)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f844,plain,(
% 5.11/1.05 ~aElementOf0(xi,szNzAzT0)|spl0_39),
% 5.11/1.05 inference(component_clause,[status(thm)],[f842])).
% 5.11/1.05 fof(f850,plain,(
% 5.11/1.05 $false|spl0_39),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f844,f420])).
% 5.11/1.05 fof(f851,plain,(
% 5.11/1.05 spl0_39),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f850])).
% 5.11/1.05 fof(f852,plain,(
% 5.11/1.05 spl0_41 <=> aSet0(sdtlpdtrp0(xN,xi))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f854,plain,(
% 5.11/1.05 ~aSet0(sdtlpdtrp0(xN,xi))|spl0_41),
% 5.11/1.05 inference(component_clause,[status(thm)],[f852])).
% 5.11/1.05 fof(f870,plain,(
% 5.11/1.05 ~aElementOf0(xi,szNzAzT0)|spl0_41),
% 5.11/1.05 inference(resolution,[status(thm)],[f854,f406])).
% 5.11/1.05 fof(f871,plain,(
% 5.11/1.05 ~spl0_39|spl0_41),
% 5.11/1.05 inference(split_clause,[status(thm)],[f870,f842,f852])).
% 5.11/1.05 fof(f1683,plain,(
% 5.11/1.05 spl0_123 <=> sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24),sk0_24)=sdtlpdtrp0(xN,xi)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f1684,plain,(
% 5.11/1.05 sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24),sk0_24)=sdtlpdtrp0(xN,xi)|~spl0_123),
% 5.11/1.05 inference(component_clause,[status(thm)],[f1683])).
% 5.11/1.05 fof(f1686,plain,(
% 5.11/1.05 ~aSet0(sdtlpdtrp0(xN,xi))|sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24),sk0_24)=sdtlpdtrp0(xN,xi)|~spl0_26),
% 5.11/1.05 inference(resolution,[status(thm)],[f743,f155])).
% 5.11/1.05 fof(f1687,plain,(
% 5.11/1.05 ~spl0_41|spl0_123|~spl0_26),
% 5.11/1.05 inference(split_clause,[status(thm)],[f1686,f852,f1683,f704])).
% 5.11/1.05 fof(f1952,plain,(
% 5.11/1.05 spl0_147 <=> pd0_0(sk0_24,szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f1953,plain,(
% 5.11/1.05 pd0_0(sk0_24,szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~spl0_147),
% 5.11/1.05 inference(component_clause,[status(thm)],[f1952])).
% 5.11/1.05 fof(f1955,plain,(
% 5.11/1.05 ~aSet0(sdtlpdtrp0(xN,xi))|~aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))|pd0_0(sk0_24,szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~spl0_25),
% 5.11/1.05 inference(resolution,[status(thm)],[f839,f528])).
% 5.11/1.05 fof(f1956,plain,(
% 5.11/1.05 ~spl0_41|~spl0_29|spl0_147|~spl0_25),
% 5.11/1.05 inference(split_clause,[status(thm)],[f1955,f852,f721,f1952,f701])).
% 5.11/1.05 fof(f1967,plain,(
% 5.11/1.05 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_147),
% 5.11/1.05 inference(resolution,[status(thm)],[f1953,f464])).
% 5.11/1.05 fof(f1970,plain,(
% 5.11/1.05 spl0_150 <=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f1972,plain,(
% 5.11/1.05 ~aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24))|spl0_150),
% 5.11/1.05 inference(component_clause,[status(thm)],[f1970])).
% 5.11/1.05 fof(f1993,plain,(
% 5.11/1.05 spl0_155 <=> aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f1994,plain,(
% 5.11/1.05 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_155),
% 5.11/1.05 inference(component_clause,[status(thm)],[f1993])).
% 5.11/1.05 fof(f1996,plain,(
% 5.11/1.05 ~aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),sk0_24))|~aElement0(sk0_24)|aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))|~spl0_123),
% 5.11/1.05 inference(paramodulation,[status(thm)],[f1684,f523])).
% 5.11/1.05 fof(f1997,plain,(
% 5.11/1.05 ~spl0_150|~spl0_31|spl0_155|~spl0_123),
% 5.11/1.05 inference(split_clause,[status(thm)],[f1996,f1970,f729,f1993,f1683])).
% 5.11/1.05 fof(f2038,plain,(
% 5.11/1.05 ~aSet0(sdtlpdtrp0(xN,xi))|~aElement0(sk0_24)|spl0_150),
% 5.11/1.05 inference(resolution,[status(thm)],[f1972,f527])).
% 5.11/1.05 fof(f2039,plain,(
% 5.11/1.05 ~spl0_41|~spl0_31|spl0_150),
% 5.11/1.05 inference(split_clause,[status(thm)],[f2038,f852,f729,f1970])).
% 5.11/1.05 fof(f2278,plain,(
% 5.11/1.05 spl0_186 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f2279,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_186)),
% 5.11/1.05 inference(component_clause,[status(thm)],[f2278])).
% 5.11/1.05 fof(f2281,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(xi,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_147)),
% 5.11/1.05 inference(resolution,[status(thm)],[f411,f1967])).
% 5.11/1.05 fof(f2282,plain,(
% 5.11/1.05 ~spl0_39|spl0_186|~spl0_147),
% 5.11/1.05 inference(split_clause,[status(thm)],[f2281,f842,f2278,f1952])).
% 5.11/1.05 fof(f2927,plain,(
% 5.11/1.05 spl0_229 <=> sdtlseqdt0(sz00,xi)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f2929,plain,(
% 5.11/1.05 ~sdtlseqdt0(sz00,xi)|spl0_229),
% 5.11/1.05 inference(component_clause,[status(thm)],[f2927])).
% 5.11/1.05 fof(f2930,plain,(
% 5.11/1.05 spl0_230 <=> aElementOf0(sk0_24,xS)),
% 5.11/1.05 introduced(split_symbol_definition)).
% 5.11/1.05 fof(f2931,plain,(
% 5.11/1.05 aElementOf0(sk0_24,xS)|~spl0_230),
% 5.11/1.05 inference(component_clause,[status(thm)],[f2930])).
% 5.11/1.05 fof(f2933,plain,(
% 5.11/1.05 ~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(sz00,xi)|aElementOf0(sk0_24,xS)|~spl0_186),
% 5.11/1.05 inference(paramodulation,[status(thm)],[f393,f2279])).
% 5.11/1.05 fof(f2934,plain,(
% 5.11/1.05 ~spl0_6|~spl0_229|spl0_230|~spl0_186),
% 5.11/1.05 inference(split_clause,[status(thm)],[f2933,f602,f2927,f2930,f2278])).
% 5.11/1.05 fof(f3134,plain,(
% 5.11/1.05 ~aElementOf0(xi,szNzAzT0)|spl0_229),
% 5.11/1.05 inference(resolution,[status(thm)],[f2929,f183])).
% 5.11/1.05 fof(f3135,plain,(
% 5.11/1.05 ~spl0_39|spl0_229),
% 5.11/1.05 inference(split_clause,[status(thm)],[f3134,f842,f2927])).
% 5.11/1.05 fof(f3222,plain,(
% 5.11/1.05 ![X0]: (~aElementOf0(xi,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_155)),
% 5.11/1.05 inference(resolution,[status(thm)],[f1994,f411])).
% 5.11/1.05 fof(f3223,plain,(
% 5.11/1.05 ~spl0_39|spl0_186|~spl0_155),
% 5.11/1.05 inference(split_clause,[status(thm)],[f3222,f842,f2278,f1993])).
% 5.11/1.05 fof(f3226,plain,(
% 5.11/1.05 $false|~spl0_230),
% 5.11/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2931,f459])).
% 5.11/1.05 fof(f3227,plain,(
% 5.11/1.05 ~spl0_230),
% 5.11/1.05 inference(contradiction_clause,[status(thm)],[f3226])).
% 5.11/1.05 fof(f3228,plain,(
% 5.11/1.05 $false),
% 5.11/1.05 inference(sat_refutation,[status(thm)],[f591,f611,f622,f711,f713,f715,f774,f782,f851,f871,f1687,f1956,f1997,f2039,f2282,f2934,f3135,f3223,f3227])).
% 5.11/1.05 % SZS output end CNFRefutation for theBenchmark.p
% 5.11/1.07 % Elapsed time: 0.720968 seconds
% 5.11/1.07 % CPU time: 5.555004 seconds
% 5.11/1.07 % Memory used: 114.608 MB
%------------------------------------------------------------------------------