TSTP Solution File: NUM556+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:35:08 EDT 2024
% Result : Theorem 72.93s 9.54s
% Output : CNFRefutation 72.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n019.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 20:41:29 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 72.93/9.54 % Refutation found
% 72.93/9.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 72.93/9.54 % SZS output start CNFRefutation for theBenchmark
% 72.93/9.54 fof(f3,axiom,(
% 72.93/9.54 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f10,definition,(
% 72.93/9.54 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f15,definition,(
% 72.93/9.54 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtpldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& ( aElementOf0(W3,W0)| W3 = W1 ) ) ) )) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f18,axiom,(
% 72.93/9.54 (! [W0,W1] :( ( aElement0(W0)& aSet0(W1) )=> ( ~ aElementOf0(W0,W1)=> sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f21,axiom,(
% 72.93/9.54 (! [W0] :( aElement0(W0)=> (! [W1] :( ( aSet0(W1)& isFinite0(W1) )=> isFinite0(sdtpldt0(W1,W0)) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f22,axiom,(
% 72.93/9.54 (! [W0] :( aElement0(W0)=> (! [W1] :( ( aSet0(W1)& isFinite0(W1) )=> isFinite0(sdtmndt0(W1,W0)) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f25,axiom,(
% 72.93/9.54 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f33,axiom,(
% 72.93/9.54 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f36,axiom,(
% 72.93/9.54 (! [W0,W1,W2] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0)& aElementOf0(W2,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f37,axiom,(
% 72.93/9.54 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f41,axiom,(
% 72.93/9.54 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f44,axiom,(
% 72.93/9.54 (! [W0] :( aSet0(W0)=> (! [W1] :( ( isFinite0(W0)& aElementOf0(W1,W0) )=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) )) )),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f61,hypothesis,(
% 72.93/9.54 aElementOf0(xk,szNzAzT0) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f62,hypothesis,(
% 72.93/9.54 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f64,hypothesis,(
% 72.93/9.54 aElementOf0(xx,xS) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f65,hypothesis,(
% 72.93/9.54 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xS) ))& aSubsetOf0(xQ,xS)& sbrdtbr0(xQ) = xk& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f67,hypothesis,(
% 72.93/9.54 ( aElement0(xy)& aElementOf0(xy,xQ) ) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f70,hypothesis,(
% 72.93/9.54 ( aSet0(sdtmndt0(xQ,xy))& (! [W0] :( aElementOf0(W0,sdtmndt0(xQ,xy))<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != xy ) ))& aSet0(xP)& (! [W0] :( aElementOf0(W0,xP)<=> ( aElement0(W0)& ( aElementOf0(W0,sdtmndt0(xQ,xy))| W0 = xx ) ) ))& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f71,hypothesis,(
% 72.93/9.54 ( ~ aElementOf0(xx,sdtmndt0(xQ,xy))& aSet0(sdtmndt0(xQ,xy))& (! [W0] :( aElementOf0(W0,sdtmndt0(xQ,xy))<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != xy ) ) )) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f72,conjecture,(
% 72.93/9.54 ( ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xS) ))| aSubsetOf0(xP,xS) )& sbrdtbr0(xP) = xk ) ),
% 72.93/9.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.93/9.54 fof(f73,negated_conjecture,(
% 72.93/9.54 ~(( ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xS) ))| aSubsetOf0(xP,xS) )& sbrdtbr0(xP) = xk ) )),
% 72.93/9.54 inference(negated_conjecture,[status(cth)],[f72])).
% 72.93/9.54 fof(f80,plain,(
% 72.93/9.54 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 72.93/9.54 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 72.93/9.54 fof(f81,plain,(
% 72.93/9.54 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 72.93/9.54 inference(cnf_transformation,[status(esa)],[f80])).
% 72.93/9.54 fof(f98,plain,(
% 72.93/9.54 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 72.93/9.54 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 72.93/9.54 fof(f99,plain,(
% 72.93/9.54 ![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))))))))),
% 72.93/9.54 inference(NNF_transformation,[status(esa)],[f98])).
% 72.93/9.54 fof(f100,plain,(
% 72.93/9.54 ![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))))))))),
% 72.93/9.54 inference(miniscoping,[status(esa)],[f99])).
% 72.93/9.54 fof(f101,plain,(
% 72.93/9.54 ![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)))))))),
% 72.93/9.54 inference(skolemization,[status(esa)],[f100])).
% 72.93/9.54 fof(f103,plain,(
% 72.93/9.54 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 72.93/9.54 inference(cnf_transformation,[status(esa)],[f101])).
% 72.93/9.54 fof(f114,plain,(
% 72.93/9.54 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtpldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))),
% 72.93/9.54 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 72.93/9.54 fof(f115,plain,(
% 72.93/9.54 ![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))))))))))),
% 72.93/9.54 inference(NNF_transformation,[status(esa)],[f114])).
% 72.93/9.54 fof(f116,plain,(
% 72.93/9.54 ![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))))))))))),
% 72.93/9.54 inference(miniscoping,[status(esa)],[f115])).
% 72.93/9.54 fof(f117,plain,(
% 72.93/9.54 ![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)))))))))),
% 72.93/9.54 inference(skolemization,[status(esa)],[f116])).
% 72.93/9.54 fof(f122,plain,(
% 72.93/9.54 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~X3=X1)),
% 72.93/9.54 inference(cnf_transformation,[status(esa)],[f117])).
% 72.93/9.54 fof(f140,plain,(
% 72.93/9.54 ![W0,W1]: ((~aElement0(W0)|~aSet0(W1))|(aElementOf0(W0,W1)|sdtmndt0(sdtpldt0(W1,W0),W0)=W1))),
% 72.93/9.54 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 72.93/9.54 fof(f141,plain,(
% 72.93/9.54 ![X0,X1]: (~aElement0(X0)|~aSet0(X1)|aElementOf0(X0,X1)|sdtmndt0(sdtpldt0(X1,X0),X0)=X1)),
% 72.93/9.54 inference(cnf_transformation,[status(esa)],[f140])).
% 72.93/9.54 fof(f146,plain,(
% 72.93/9.54 ![W0]: (~aElement0(W0)|(![W1]: ((~aSet0(W1)|~isFinite0(W1))|isFinite0(sdtpldt0(W1,W0)))))),
% 72.93/9.54 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 72.93/9.54 fof(f147,plain,(
% 72.93/9.54 ![X0,X1]: (~aElement0(X0)|~aSet0(X1)|~isFinite0(X1)|isFinite0(sdtpldt0(X1,X0)))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f146])).
% 72.93/9.55 fof(f148,plain,(
% 72.93/9.55 ![W0]: (~aElement0(W0)|(![W1]: ((~aSet0(W1)|~isFinite0(W1))|isFinite0(sdtmndt0(W1,W0)))))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 72.93/9.55 fof(f149,plain,(
% 72.93/9.55 ![X0,X1]: (~aElement0(X0)|~aSet0(X1)|~isFinite0(X1)|isFinite0(sdtmndt0(X1,X0)))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f148])).
% 72.93/9.55 fof(f153,plain,(
% 72.93/9.55 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 72.93/9.55 fof(f154,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f153])).
% 72.93/9.55 fof(f174,plain,(
% 72.93/9.55 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,szszuzczcdt0(W0)))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 72.93/9.55 fof(f175,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,szszuzczcdt0(X0)))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f174])).
% 72.93/9.55 fof(f180,plain,(
% 72.93/9.55 ![W0,W1,W2]: (((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|~aElementOf0(W2,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 72.93/9.55 fof(f181,plain,(
% 72.93/9.55 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f180])).
% 72.93/9.55 fof(f182,plain,(
% 72.93/9.55 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 72.93/9.55 fof(f183,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f182])).
% 72.93/9.55 fof(f190,plain,(
% 72.93/9.55 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 72.93/9.55 fof(f191,plain,(
% 72.93/9.55 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 72.93/9.55 inference(NNF_transformation,[status(esa)],[f190])).
% 72.93/9.55 fof(f192,plain,(
% 72.93/9.55 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X0),szNzAzT0)|isFinite0(X0))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f191])).
% 72.93/9.55 fof(f200,plain,(
% 72.93/9.55 ![W0]: (~aSet0(W0)|(![W1]: ((~isFinite0(W0)|~aElementOf0(W1,W0))|szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1)))=sbrdtbr0(W0))))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 72.93/9.55 fof(f201,plain,(
% 72.93/9.55 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElementOf0(X1,X0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))=sbrdtbr0(X0))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f200])).
% 72.93/9.55 fof(f272,plain,(
% 72.93/9.55 aElementOf0(xk,szNzAzT0)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f61])).
% 72.93/9.55 fof(f273,plain,(
% 72.93/9.55 aSet0(xS)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f62])).
% 72.93/9.55 fof(f306,plain,(
% 72.93/9.55 aElementOf0(xx,xS)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f64])).
% 72.93/9.55 fof(f307,plain,(
% 72.93/9.55 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 72.93/9.55 fof(f308,plain,(
% 72.93/9.55 aSet0(xQ)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f307])).
% 72.93/9.55 fof(f310,plain,(
% 72.93/9.55 aSubsetOf0(xQ,xS)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f307])).
% 72.93/9.55 fof(f311,plain,(
% 72.93/9.55 sbrdtbr0(xQ)=xk),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f307])).
% 72.93/9.55 fof(f317,plain,(
% 72.93/9.55 aElementOf0(xy,xQ)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f67])).
% 72.93/9.55 fof(f320,plain,(
% 72.93/9.55 (((aSet0(sdtmndt0(xQ,xy))&(![W0]: ((~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=xy))&(aElementOf0(W0,sdtmndt0(xQ,xy))|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy)))))&aSet0(xP))&(![W0]: ((~aElementOf0(W0,xP)|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xQ,xy))|W0=xx)))&(aElementOf0(W0,xP)|(~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xQ,xy))&~W0=xx))))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),
% 72.93/9.55 inference(NNF_transformation,[status(esa)],[f70])).
% 72.93/9.55 fof(f321,plain,(
% 72.93/9.55 (((aSet0(sdtmndt0(xQ,xy))&((![W0]: (~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=xy)))&(![W0]: (aElementOf0(W0,sdtmndt0(xQ,xy))|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy)))))&aSet0(xP))&((![W0]: (~aElementOf0(W0,xP)|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xQ,xy))|W0=xx))))&(![W0]: (aElementOf0(W0,xP)|(~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xQ,xy))&~W0=xx))))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),
% 72.93/9.55 inference(miniscoping,[status(esa)],[f320])).
% 72.93/9.55 fof(f322,plain,(
% 72.93/9.55 aSet0(sdtmndt0(xQ,xy))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f321])).
% 72.93/9.55 fof(f324,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,sdtmndt0(xQ,xy))|aElementOf0(X0,xQ))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f321])).
% 72.93/9.55 fof(f327,plain,(
% 72.93/9.55 aSet0(xP)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f321])).
% 72.93/9.55 fof(f329,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,sdtmndt0(xQ,xy))|X0=xx)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f321])).
% 72.93/9.55 fof(f332,plain,(
% 72.93/9.55 xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f321])).
% 72.93/9.55 fof(f333,plain,(
% 72.93/9.55 (~aElementOf0(xx,sdtmndt0(xQ,xy))&aSet0(sdtmndt0(xQ,xy)))&(![W0]: ((~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=xy))&(aElementOf0(W0,sdtmndt0(xQ,xy))|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy))))),
% 72.93/9.55 inference(NNF_transformation,[status(esa)],[f71])).
% 72.93/9.55 fof(f334,plain,(
% 72.93/9.55 (~aElementOf0(xx,sdtmndt0(xQ,xy))&aSet0(sdtmndt0(xQ,xy)))&((![W0]: (~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=xy)))&(![W0]: (aElementOf0(W0,sdtmndt0(xQ,xy))|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy))))),
% 72.93/9.55 inference(miniscoping,[status(esa)],[f333])).
% 72.93/9.55 fof(f335,plain,(
% 72.93/9.55 ~aElementOf0(xx,sdtmndt0(xQ,xy))),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f334])).
% 72.93/9.55 fof(f341,plain,(
% 72.93/9.55 (((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xS)))&~aSubsetOf0(xP,xS))|~sbrdtbr0(xP)=xk)),
% 72.93/9.55 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 72.93/9.55 fof(f342,plain,(
% 72.93/9.55 ((aElementOf0(sk0_15,xP)&~aElementOf0(sk0_15,xS))&~aSubsetOf0(xP,xS))|~sbrdtbr0(xP)=xk),
% 72.93/9.55 inference(skolemization,[status(esa)],[f341])).
% 72.93/9.55 fof(f343,plain,(
% 72.93/9.55 aElementOf0(sk0_15,xP)|~sbrdtbr0(xP)=xk),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f342])).
% 72.93/9.55 fof(f344,plain,(
% 72.93/9.55 ~aElementOf0(sk0_15,xS)|~sbrdtbr0(xP)=xk),
% 72.93/9.55 inference(cnf_transformation,[status(esa)],[f342])).
% 72.93/9.55 fof(f352,plain,(
% 72.93/9.55 spl0_0 <=> aElementOf0(sk0_15,xP)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f353,plain,(
% 72.93/9.55 aElementOf0(sk0_15,xP)|~spl0_0),
% 72.93/9.55 inference(component_clause,[status(thm)],[f352])).
% 72.93/9.55 fof(f355,plain,(
% 72.93/9.55 spl0_1 <=> sbrdtbr0(xP)=xk),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f357,plain,(
% 72.93/9.55 ~sbrdtbr0(xP)=xk|spl0_1),
% 72.93/9.55 inference(component_clause,[status(thm)],[f355])).
% 72.93/9.55 fof(f358,plain,(
% 72.93/9.55 spl0_0|~spl0_1),
% 72.93/9.55 inference(split_clause,[status(thm)],[f343,f352,f355])).
% 72.93/9.55 fof(f359,plain,(
% 72.93/9.55 spl0_2 <=> aElementOf0(sk0_15,xS)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f361,plain,(
% 72.93/9.55 ~aElementOf0(sk0_15,xS)|spl0_2),
% 72.93/9.55 inference(component_clause,[status(thm)],[f359])).
% 72.93/9.55 fof(f362,plain,(
% 72.93/9.55 ~spl0_2|~spl0_1),
% 72.93/9.55 inference(split_clause,[status(thm)],[f344,f359,f355])).
% 72.93/9.55 fof(f374,plain,(
% 72.93/9.55 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1))|~aElement0(X1))),
% 72.93/9.55 inference(destructive_equality_resolution,[status(esa)],[f122])).
% 72.93/9.55 fof(f375,plain,(
% 72.93/9.55 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1)))),
% 72.93/9.55 inference(duplicate_literals_removal,[status(esa)],[f374])).
% 72.93/9.55 fof(f400,plain,(
% 72.93/9.55 spl0_4 <=> aSet0(xS)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f402,plain,(
% 72.93/9.55 ~aSet0(xS)|spl0_4),
% 72.93/9.55 inference(component_clause,[status(thm)],[f400])).
% 72.93/9.55 fof(f403,plain,(
% 72.93/9.55 spl0_5 <=> aElement0(xx)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f406,plain,(
% 72.93/9.55 ~aSet0(xS)|aElement0(xx)),
% 72.93/9.55 inference(resolution,[status(thm)],[f81,f306])).
% 72.93/9.55 fof(f407,plain,(
% 72.93/9.55 ~spl0_4|spl0_5),
% 72.93/9.55 inference(split_clause,[status(thm)],[f406,f400,f403])).
% 72.93/9.55 fof(f421,plain,(
% 72.93/9.55 $false|spl0_4),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f402,f273])).
% 72.93/9.55 fof(f422,plain,(
% 72.93/9.55 spl0_4),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f421])).
% 72.93/9.55 fof(f458,plain,(
% 72.93/9.55 spl0_17 <=> aSet0(xP)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f460,plain,(
% 72.93/9.55 ~aSet0(xP)|spl0_17),
% 72.93/9.55 inference(component_clause,[status(thm)],[f458])).
% 72.93/9.55 fof(f470,plain,(
% 72.93/9.55 $false|spl0_17),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f460,f327])).
% 72.93/9.55 fof(f471,plain,(
% 72.93/9.55 spl0_17),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f470])).
% 72.93/9.55 fof(f479,plain,(
% 72.93/9.55 spl0_20 <=> aSet0(xQ)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f481,plain,(
% 72.93/9.55 ~aSet0(xQ)|spl0_20),
% 72.93/9.55 inference(component_clause,[status(thm)],[f479])).
% 72.93/9.55 fof(f492,plain,(
% 72.93/9.55 $false|spl0_20),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f481,f308])).
% 72.93/9.55 fof(f493,plain,(
% 72.93/9.55 spl0_20),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f492])).
% 72.93/9.55 fof(f502,plain,(
% 72.93/9.55 spl0_23 <=> aElementOf0(xk,szNzAzT0)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f504,plain,(
% 72.93/9.55 ~aElementOf0(xk,szNzAzT0)|spl0_23),
% 72.93/9.55 inference(component_clause,[status(thm)],[f502])).
% 72.93/9.55 fof(f510,plain,(
% 72.93/9.55 $false|spl0_23),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f504,f272])).
% 72.93/9.55 fof(f511,plain,(
% 72.93/9.55 spl0_23),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f510])).
% 72.93/9.55 fof(f659,plain,(
% 72.93/9.55 spl0_48 <=> aSet0(sdtmndt0(xQ,xy))),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f661,plain,(
% 72.93/9.55 ~aSet0(sdtmndt0(xQ,xy))|spl0_48),
% 72.93/9.55 inference(component_clause,[status(thm)],[f659])).
% 72.93/9.55 fof(f686,plain,(
% 72.93/9.55 spl0_53 <=> ~aElementOf0(X0,xQ)|aElementOf0(X0,xS)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f687,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xS)|~spl0_53)),
% 72.93/9.55 inference(component_clause,[status(thm)],[f686])).
% 72.93/9.55 fof(f689,plain,(
% 72.93/9.55 ![X0]: (~aSet0(xS)|~aElementOf0(X0,xQ)|aElementOf0(X0,xS))),
% 72.93/9.55 inference(resolution,[status(thm)],[f310,f103])).
% 72.93/9.55 fof(f690,plain,(
% 72.93/9.55 ~spl0_4|spl0_53),
% 72.93/9.55 inference(split_clause,[status(thm)],[f689,f400,f686])).
% 72.93/9.55 fof(f727,plain,(
% 72.93/9.55 spl0_60 <=> aElement0(xy)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f830,plain,(
% 72.93/9.55 spl0_75 <=> isFinite0(xQ)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f854,plain,(
% 72.93/9.55 $false|spl0_48),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f661,f322])).
% 72.93/9.55 fof(f855,plain,(
% 72.93/9.55 spl0_48),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f854])).
% 72.93/9.55 fof(f861,plain,(
% 72.93/9.55 aElementOf0(xy,xS)|~spl0_53),
% 72.93/9.55 inference(resolution,[status(thm)],[f687,f317])).
% 72.93/9.55 fof(f870,plain,(
% 72.93/9.55 ~aSet0(xS)|aElement0(xy)|~spl0_53),
% 72.93/9.55 inference(resolution,[status(thm)],[f861,f81])).
% 72.93/9.55 fof(f871,plain,(
% 72.93/9.55 ~spl0_4|spl0_60|~spl0_53),
% 72.93/9.55 inference(split_clause,[status(thm)],[f870,f400,f727,f686])).
% 72.93/9.55 fof(f1451,plain,(
% 72.93/9.55 spl0_151 <=> aElementOf0(xx,xP)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f1454,plain,(
% 72.93/9.55 ~aSet0(sdtmndt0(xQ,xy))|~aElement0(xx)|aElementOf0(xx,xP)),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f332,f375])).
% 72.93/9.55 fof(f1455,plain,(
% 72.93/9.55 ~spl0_48|~spl0_5|spl0_151),
% 72.93/9.55 inference(split_clause,[status(thm)],[f1454,f659,f403,f1451])).
% 72.93/9.55 fof(f2201,plain,(
% 72.93/9.55 ~aSet0(xQ)|~aElementOf0(xk,szNzAzT0)|isFinite0(xQ)),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f311,f192])).
% 72.93/9.55 fof(f2202,plain,(
% 72.93/9.55 ~spl0_20|~spl0_23|spl0_75),
% 72.93/9.55 inference(split_clause,[status(thm)],[f2201,f479,f502,f830])).
% 72.93/9.55 fof(f2439,plain,(
% 72.93/9.55 spl0_278 <=> aElementOf0(xx,sdtmndt0(xQ,xy))),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f2440,plain,(
% 72.93/9.55 aElementOf0(xx,sdtmndt0(xQ,xy))|~spl0_278),
% 72.93/9.55 inference(component_clause,[status(thm)],[f2439])).
% 72.93/9.55 fof(f2442,plain,(
% 72.93/9.55 spl0_279 <=> sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f2443,plain,(
% 72.93/9.55 sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|~spl0_279),
% 72.93/9.55 inference(component_clause,[status(thm)],[f2442])).
% 72.93/9.55 fof(f2445,plain,(
% 72.93/9.55 ~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))|aElementOf0(xx,sdtmndt0(xQ,xy))|sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f332,f141])).
% 72.93/9.55 fof(f2446,plain,(
% 72.93/9.55 ~spl0_5|~spl0_48|spl0_278|spl0_279),
% 72.93/9.55 inference(split_clause,[status(thm)],[f2445,f403,f659,f2439,f2442])).
% 72.93/9.55 fof(f2447,plain,(
% 72.93/9.55 $false|~spl0_278),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f2440,f335])).
% 72.93/9.55 fof(f2448,plain,(
% 72.93/9.55 ~spl0_278),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f2447])).
% 72.93/9.55 fof(f2568,plain,(
% 72.93/9.55 spl0_293 <=> isFinite0(xP)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f2953,plain,(
% 72.93/9.55 spl0_355 <=> isFinite0(sdtmndt0(xQ,xy))),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f2955,plain,(
% 72.93/9.55 ~isFinite0(sdtmndt0(xQ,xy))|spl0_355),
% 72.93/9.55 inference(component_clause,[status(thm)],[f2953])).
% 72.93/9.55 fof(f2956,plain,(
% 72.93/9.55 ~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))|~isFinite0(sdtmndt0(xQ,xy))|isFinite0(xP)),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f332,f147])).
% 72.93/9.55 fof(f2957,plain,(
% 72.93/9.55 ~spl0_5|~spl0_48|~spl0_355|spl0_293),
% 72.93/9.55 inference(split_clause,[status(thm)],[f2956,f403,f659,f2953,f2568])).
% 72.93/9.55 fof(f3399,plain,(
% 72.93/9.55 spl0_400 <=> sdtlseqdt0(xk,xk)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f3659,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1)|~aElementOf0(X0,szNzAzT0))),
% 72.93/9.55 inference(resolution,[status(thm)],[f181,f175])).
% 72.93/9.55 fof(f3660,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 72.93/9.55 inference(duplicate_literals_removal,[status(esa)],[f3659])).
% 72.93/9.55 fof(f3661,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f3660,f154])).
% 72.93/9.55 fof(f3723,plain,(
% 72.93/9.55 spl0_433 <=> sbrdtbr0(xP)=szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f3724,plain,(
% 72.93/9.55 sbrdtbr0(xP)=szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))|~spl0_433),
% 72.93/9.55 inference(component_clause,[status(thm)],[f3723])).
% 72.93/9.55 fof(f5827,plain,(
% 72.93/9.55 ~aElement0(xy)|~aSet0(xQ)|~isFinite0(xQ)|spl0_355),
% 72.93/9.55 inference(resolution,[status(thm)],[f149,f2955])).
% 72.93/9.55 fof(f5828,plain,(
% 72.93/9.55 ~spl0_60|~spl0_20|~spl0_75|spl0_355),
% 72.93/9.55 inference(split_clause,[status(thm)],[f5827,f727,f479,f830,f2953])).
% 72.93/9.55 fof(f7481,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,xP)|X0=xx|aElementOf0(X0,xQ))),
% 72.93/9.55 inference(resolution,[status(thm)],[f329,f324])).
% 72.93/9.55 fof(f11767,plain,(
% 72.93/9.55 spl0_1351 <=> aElementOf0(xy,xQ)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f11769,plain,(
% 72.93/9.55 ~aElementOf0(xy,xQ)|spl0_1351),
% 72.93/9.55 inference(component_clause,[status(thm)],[f11767])).
% 72.93/9.55 fof(f11788,plain,(
% 72.93/9.55 $false|spl0_1351),
% 72.93/9.55 inference(forward_subsumption_resolution,[status(thm)],[f11769,f317])).
% 72.93/9.55 fof(f11789,plain,(
% 72.93/9.55 spl0_1351),
% 72.93/9.55 inference(contradiction_clause,[status(thm)],[f11788])).
% 72.93/9.55 fof(f13181,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X1,X0))),
% 72.93/9.55 inference(resolution,[status(thm)],[f3661,f183])).
% 72.93/9.55 fof(f13182,plain,(
% 72.93/9.55 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 72.93/9.55 inference(duplicate_literals_removal,[status(esa)],[f13181])).
% 72.93/9.55 fof(f13276,plain,(
% 72.93/9.55 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xk)|sdtlseqdt0(xk,X0))),
% 72.93/9.55 inference(resolution,[status(thm)],[f13182,f272])).
% 72.93/9.55 fof(f13352,plain,(
% 72.93/9.55 sdtlseqdt0(xk,xk)|sdtlseqdt0(xk,xk)),
% 72.93/9.55 inference(resolution,[status(thm)],[f13276,f272])).
% 72.93/9.55 fof(f13353,plain,(
% 72.93/9.55 spl0_400),
% 72.93/9.55 inference(split_clause,[status(thm)],[f13352,f3399])).
% 72.93/9.55 fof(f14906,plain,(
% 72.93/9.55 ~aSet0(xP)|~isFinite0(xP)|~aElementOf0(xx,xP)|szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|~spl0_279),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f2443,f201])).
% 72.93/9.55 fof(f14907,plain,(
% 72.93/9.55 ~spl0_17|~spl0_293|~spl0_151|spl0_433|~spl0_279),
% 72.93/9.55 inference(split_clause,[status(thm)],[f14906,f458,f2568,f1451,f3723,f2442])).
% 72.93/9.55 fof(f21251,plain,(
% 72.93/9.55 spl0_2292 <=> sbrdtbr0(xP)=sbrdtbr0(xQ)),
% 72.93/9.55 introduced(split_symbol_definition)).
% 72.93/9.55 fof(f21252,plain,(
% 72.93/9.55 sbrdtbr0(xP)=sbrdtbr0(xQ)|~spl0_2292),
% 72.93/9.55 inference(component_clause,[status(thm)],[f21251])).
% 72.93/9.55 fof(f21254,plain,(
% 72.93/9.55 ~aSet0(xQ)|~isFinite0(xQ)|~aElementOf0(xy,xQ)|sbrdtbr0(xP)=sbrdtbr0(xQ)|~spl0_433),
% 72.93/9.55 inference(paramodulation,[status(thm)],[f3724,f201])).
% 72.93/9.55 fof(f21255,plain,(
% 72.93/9.55 ~spl0_20|~spl0_75|~spl0_1351|spl0_2292|~spl0_433),
% 72.93/9.55 inference(split_clause,[status(thm)],[f21254,f479,f830,f11767,f21251,f3723])).
% 72.93/9.55 fof(f21761,plain,(
% 72.93/9.57 sbrdtbr0(xP)=xk|~spl0_2292),
% 72.93/9.57 inference(forward_demodulation,[status(thm)],[f311,f21252])).
% 72.93/9.57 fof(f21762,plain,(
% 72.93/9.57 $false|spl0_1|~spl0_2292),
% 72.93/9.57 inference(forward_subsumption_resolution,[status(thm)],[f21761,f357])).
% 72.93/9.57 fof(f21763,plain,(
% 72.93/9.57 spl0_1|~spl0_2292),
% 72.93/9.57 inference(contradiction_clause,[status(thm)],[f21762])).
% 72.93/9.57 fof(f23833,plain,(
% 72.93/9.57 spl0_2588 <=> sk0_15=xx),
% 72.93/9.57 introduced(split_symbol_definition)).
% 72.93/9.57 fof(f23834,plain,(
% 72.93/9.57 sk0_15=xx|~spl0_2588),
% 72.93/9.57 inference(component_clause,[status(thm)],[f23833])).
% 72.93/9.57 fof(f23836,plain,(
% 72.93/9.57 spl0_2589 <=> aElementOf0(sk0_15,xQ)),
% 72.93/9.57 introduced(split_symbol_definition)).
% 72.93/9.57 fof(f23837,plain,(
% 72.93/9.57 aElementOf0(sk0_15,xQ)|~spl0_2589),
% 72.93/9.57 inference(component_clause,[status(thm)],[f23836])).
% 72.93/9.57 fof(f23839,plain,(
% 72.93/9.57 sk0_15=xx|aElementOf0(sk0_15,xQ)|~spl0_0),
% 72.93/9.57 inference(resolution,[status(thm)],[f353,f7481])).
% 72.93/9.57 fof(f23840,plain,(
% 72.93/9.57 spl0_2588|spl0_2589|~spl0_0),
% 72.93/9.57 inference(split_clause,[status(thm)],[f23839,f23833,f23836,f352])).
% 72.93/9.57 fof(f23843,plain,(
% 72.93/9.57 ~aElementOf0(xx,xS)|~spl0_2588|spl0_2),
% 72.93/9.57 inference(backward_demodulation,[status(thm)],[f23834,f361])).
% 72.93/9.57 fof(f23844,plain,(
% 72.93/9.57 $false|~spl0_2588|spl0_2),
% 72.93/9.57 inference(forward_subsumption_resolution,[status(thm)],[f23843,f306])).
% 72.93/9.57 fof(f23845,plain,(
% 72.93/9.57 ~spl0_2588|spl0_2),
% 72.93/9.57 inference(contradiction_clause,[status(thm)],[f23844])).
% 72.93/9.57 fof(f23910,plain,(
% 72.93/9.57 aElementOf0(sk0_15,xS)|~spl0_2589|~spl0_53),
% 72.93/9.57 inference(resolution,[status(thm)],[f23837,f687])).
% 72.93/9.57 fof(f24929,plain,(
% 72.93/9.57 $false|spl0_2|~spl0_2589|~spl0_53),
% 72.93/9.57 inference(forward_subsumption_resolution,[status(thm)],[f23910,f361])).
% 72.93/9.57 fof(f24930,plain,(
% 72.93/9.57 spl0_2|~spl0_2589|~spl0_53),
% 72.93/9.57 inference(contradiction_clause,[status(thm)],[f24929])).
% 72.93/9.57 fof(f24931,plain,(
% 72.93/9.57 $false),
% 72.93/9.57 inference(sat_refutation,[status(thm)],[f358,f362,f407,f422,f471,f493,f511,f690,f855,f871,f1455,f2202,f2446,f2448,f2957,f5828,f11789,f13353,f14907,f21255,f21763,f23840,f23845,f24930])).
% 72.93/9.57 % SZS output end CNFRefutation for theBenchmark.p
% 72.93/9.61 % Elapsed time: 9.242722 seconds
% 72.93/9.61 % CPU time: 73.330003 seconds
% 72.93/9.61 % Total memory used: 340.633 MB
% 72.93/9.61 % Net memory used: 329.631 MB
%------------------------------------------------------------------------------