TSTP Solution File: NUM622+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM622+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:35:23 EDT 2024
% Result : Theorem 92.92s 12.05s
% Output : CNFRefutation 93.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM622+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n021.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:51:25 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.15/0.34 % Drodi V3.6.0
% 92.92/12.05 % Refutation found
% 92.92/12.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 92.92/12.05 % SZS output start CNFRefutation for theBenchmark
% 92.92/12.05 fof(f5,definition,(
% 92.92/12.05 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f8,axiom,(
% 92.92/12.05 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ isFinite0(W0) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f10,definition,(
% 92.92/12.05 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f12,axiom,(
% 92.92/12.05 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f23,axiom,(
% 92.92/12.05 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f24,axiom,(
% 92.92/12.05 aElementOf0(sz00,szNzAzT0) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f47,definition,(
% 92.92/12.05 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzizndt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W1,W2) ) )) ) )) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f50,definition,(
% 92.92/12.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f51,axiom,(
% 92.92/12.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> isFinite0(slbdtrb0(W0)) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f52,axiom,(
% 92.92/12.05 slbdtrb0(sz00) = slcrc0 ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f64,axiom,(
% 92.92/12.05 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f68,definition,(
% 92.92/12.05 (! [W0] :( aFunction0(W0)=> (! [W1] :( aSubsetOf0(W1,szDzozmdt0(W0))=> (! [W2] :( W2 = sdtlcdtrc0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> (? [W4] :( aElementOf0(W4,W1)& sdtlpdtrp0(W0,W4) = W3 ) )) )) ) )) )) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f69,axiom,(
% 92.92/12.05 (! [W0] :( aFunction0(W0)=> (! [W1] :( aElementOf0(W1,szDzozmdt0(W0))=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) )) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f81,hypothesis,(
% 92.92/12.05 ( 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))) ) ) ) )) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f82,hypothesis,(
% 92.92/12.05 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f91,hypothesis,(
% 92.92/12.05 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) )) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f111,hypothesis,(
% 92.92/12.05 ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))& aElementOf0(xn,szNzAzT0)& sdtlpdtrp0(xe,xn) = xp ) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f115,hypothesis,(
% 92.92/12.05 ( aElementOf0(xm,szNzAzT0)& xx = sdtlpdtrp0(xe,xm) ) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f118,hypothesis,(
% 92.92/12.05 aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f119,conjecture,(
% 92.92/12.05 aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
% 92.92/12.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.92/12.05 fof(f120,negated_conjecture,(
% 92.92/12.05 ~(aElementOf0(xp,sdtlpdtrp0(xN,xm)) )),
% 92.92/12.05 inference(negated_conjecture,[status(cth)],[f119])).
% 92.92/12.05 fof(f131,plain,(
% 92.92/12.05 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 92.95/12.07 fof(f132,plain,(
% 92.95/12.07 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 92.95/12.07 inference(NNF_transformation,[status(esa)],[f131])).
% 92.95/12.07 fof(f133,plain,(
% 92.95/12.07 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 92.95/12.07 inference(miniscoping,[status(esa)],[f132])).
% 92.95/12.07 fof(f134,plain,(
% 92.95/12.07 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 92.95/12.07 inference(skolemization,[status(esa)],[f133])).
% 92.95/12.07 fof(f136,plain,(
% 92.95/12.07 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f134])).
% 92.95/12.07 fof(f141,plain,(
% 92.95/12.07 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 92.95/12.07 fof(f142,plain,(
% 92.95/12.07 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~isFinite0(X0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f141])).
% 92.95/12.07 fof(f145,plain,(
% 92.95/12.07 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 92.95/12.07 fof(f146,plain,(
% 92.95/12.07 ![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))))))))),
% 92.95/12.07 inference(NNF_transformation,[status(esa)],[f145])).
% 92.95/12.07 fof(f147,plain,(
% 92.95/12.07 ![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))))))))),
% 92.95/12.07 inference(miniscoping,[status(esa)],[f146])).
% 92.95/12.07 fof(f148,plain,(
% 92.95/12.07 ![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)))))))),
% 92.95/12.07 inference(skolemization,[status(esa)],[f147])).
% 92.95/12.07 fof(f149,plain,(
% 92.95/12.07 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f148])).
% 92.95/12.07 fof(f150,plain,(
% 92.95/12.07 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f148])).
% 92.95/12.07 fof(f155,plain,(
% 92.95/12.07 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 92.95/12.07 fof(f156,plain,(
% 92.95/12.07 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f155])).
% 92.95/12.07 fof(f197,plain,(
% 92.95/12.07 aSet0(szNzAzT0)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f23])).
% 92.95/12.07 fof(f199,plain,(
% 92.95/12.07 aElementOf0(sz00,szNzAzT0)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f24])).
% 92.95/12.07 fof(f255,plain,(
% 92.95/12.07 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: (W1=szmzizndt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 92.95/12.07 fof(f256,plain,(
% 92.95/12.07 ![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))))))))),
% 92.95/12.07 inference(NNF_transformation,[status(esa)],[f255])).
% 92.95/12.07 fof(f257,plain,(
% 92.95/12.07 ![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))))))))),
% 92.95/12.07 inference(miniscoping,[status(esa)],[f256])).
% 92.95/12.07 fof(f258,plain,(
% 92.95/12.07 ![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))))))))),
% 92.95/12.07 inference(skolemization,[status(esa)],[f257])).
% 92.95/12.07 fof(f259,plain,(
% 92.95/12.07 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~X1=szmzizndt0(X0)|aElementOf0(X1,X0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f258])).
% 92.95/12.07 fof(f273,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 92.95/12.07 fof(f274,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~W1=slbdtrb0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))))))&(W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 92.95/12.07 inference(NNF_transformation,[status(esa)],[f273])).
% 92.95/12.07 fof(f275,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 92.95/12.07 inference(miniscoping,[status(esa)],[f274])).
% 92.95/12.07 fof(f276,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|((~aElementOf0(sk0_8(W1,W0),W1)|(~aElementOf0(sk0_8(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))&(aElementOf0(sk0_8(W1,W0),W1)|(aElementOf0(sk0_8(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))))))))),
% 92.95/12.07 inference(skolemization,[status(esa)],[f275])).
% 92.95/12.07 fof(f277,plain,(
% 92.95/12.07 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f276])).
% 92.95/12.07 fof(f284,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|isFinite0(slbdtrb0(W0)))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 92.95/12.07 fof(f285,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|isFinite0(slbdtrb0(X0)))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f284])).
% 92.95/12.07 fof(f286,plain,(
% 92.95/12.07 slbdtrb0(sz00)=slcrc0),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f52])).
% 92.95/12.07 fof(f329,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 92.95/12.07 fof(f330,plain,(
% 92.95/12.07 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f329])).
% 92.95/12.07 fof(f346,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: (W2=sdtlcdtrc0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 92.95/12.07 fof(f347,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: ((~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))))))&(W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 92.95/12.07 inference(NNF_transformation,[status(esa)],[f346])).
% 92.95/12.07 fof(f348,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 92.95/12.07 inference(miniscoping,[status(esa)],[f347])).
% 92.95/12.07 fof(f349,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElementOf0(sk0_13(W3,W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_13(W3,W2,W1,W0))=W3)))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_14(W2,W1,W0),W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=sk0_14(W2,W1,W0))))&(aElementOf0(sk0_14(W2,W1,W0),W2)|(aElementOf0(sk0_15(W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_15(W2,W1,W0))=sk0_14(W2,W1,W0)))))))))))),
% 92.95/12.07 inference(skolemization,[status(esa)],[f348])).
% 92.95/12.07 fof(f352,plain,(
% 92.95/12.07 ![X0,X1,X2,X3]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|~aElementOf0(X3,X2)|sdtlpdtrp0(X0,sk0_13(X3,X2,X1,X0))=X3)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f349])).
% 92.95/12.07 fof(f357,plain,(
% 92.95/12.07 ![W0]: (~aFunction0(W0)|(![W1]: (~aElementOf0(W1,szDzozmdt0(W0))|aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 92.95/12.07 fof(f358,plain,(
% 92.95/12.07 ![X0,X1]: (~aFunction0(X0)|~aElementOf0(X1,szDzozmdt0(X0))|aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f357])).
% 92.95/12.07 fof(f395,plain,(
% 92.95/12.07 ((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)))))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 92.95/12.07 fof(f396,plain,(
% 92.95/12.07 aFunction0(xN)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f395])).
% 92.95/12.07 fof(f397,plain,(
% 92.95/12.07 szDzozmdt0(xN)=szNzAzT0),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f395])).
% 92.95/12.07 fof(f401,plain,(
% 92.95/12.07 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,W0))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 92.95/12.07 fof(f402,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f401])).
% 92.95/12.07 fof(f403,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|isCountable0(sdtlpdtrp0(xN,X0)))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f401])).
% 92.95/12.07 fof(f430,plain,(
% 92.95/12.07 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0))))),
% 92.95/12.07 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 92.95/12.07 fof(f433,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlpdtrp0(xe,X0)=szmzizndt0(sdtlpdtrp0(xN,X0)))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f430])).
% 92.95/12.07 fof(f466,plain,(
% 92.95/12.07 aElementOf0(xn,szNzAzT0)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f111])).
% 92.95/12.07 fof(f467,plain,(
% 92.95/12.07 sdtlpdtrp0(xe,xn)=xp),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f111])).
% 92.95/12.07 fof(f472,plain,(
% 92.95/12.07 aElementOf0(xm,szNzAzT0)),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f115])).
% 92.95/12.07 fof(f476,plain,(
% 92.95/12.07 aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f118])).
% 92.95/12.07 fof(f477,plain,(
% 92.95/12.07 ~aElementOf0(xp,sdtlpdtrp0(xN,xm))),
% 92.95/12.07 inference(cnf_transformation,[status(esa)],[f120])).
% 92.95/12.07 fof(f485,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,slcrc0))),
% 92.95/12.07 inference(destructive_equality_resolution,[status(esa)],[f136])).
% 92.95/12.07 fof(f505,plain,(
% 92.95/12.07 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|aElementOf0(szmzizndt0(X0),X0))),
% 92.95/12.07 inference(destructive_equality_resolution,[status(esa)],[f259])).
% 92.95/12.07 fof(f509,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 92.95/12.07 inference(destructive_equality_resolution,[status(esa)],[f277])).
% 92.95/12.07 fof(f527,plain,(
% 92.95/12.07 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~aElementOf0(X2,sdtlcdtrc0(X0,X1))|sdtlpdtrp0(X0,sk0_13(X2,sdtlcdtrc0(X0,X1),X1,X0))=X2)),
% 92.95/12.07 inference(destructive_equality_resolution,[status(esa)],[f352])).
% 92.95/12.07 fof(f544,plain,(
% 92.95/12.07 spl0_0 <=> aFunction0(xN)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f546,plain,(
% 92.95/12.07 ~aFunction0(xN)|spl0_0),
% 92.95/12.07 inference(component_clause,[status(thm)],[f544])).
% 92.95/12.07 fof(f547,plain,(
% 92.95/12.07 spl0_1 <=> aSet0(szNzAzT0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f550,plain,(
% 92.95/12.07 ~aFunction0(xN)|aSet0(szNzAzT0)),
% 92.95/12.07 inference(paramodulation,[status(thm)],[f397,f330])).
% 92.95/12.07 fof(f551,plain,(
% 92.95/12.07 ~spl0_0|spl0_1),
% 92.95/12.07 inference(split_clause,[status(thm)],[f550,f544,f547])).
% 92.95/12.07 fof(f552,plain,(
% 92.95/12.07 $false|spl0_0),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f546,f396])).
% 92.95/12.07 fof(f553,plain,(
% 92.95/12.07 spl0_0),
% 92.95/12.07 inference(contradiction_clause,[status(thm)],[f552])).
% 92.95/12.07 fof(f848,plain,(
% 92.95/12.07 spl0_47 <=> aSet0(sdtlpdtrp0(xN,xm))),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f850,plain,(
% 92.95/12.07 ~aSet0(sdtlpdtrp0(xN,xm))|spl0_47),
% 92.95/12.07 inference(component_clause,[status(thm)],[f848])).
% 92.95/12.07 fof(f856,plain,(
% 92.95/12.07 spl0_49 <=> aSet0(sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f857,plain,(
% 92.95/12.07 ![X0]: (aSet0(sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0)|~spl0_49)),
% 92.95/12.07 inference(component_clause,[status(thm)],[f856])).
% 92.95/12.07 fof(f859,plain,(
% 92.95/12.07 ![X0]: (~aSet0(szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0))),
% 92.95/12.07 inference(resolution,[status(thm)],[f149,f402])).
% 92.95/12.07 fof(f860,plain,(
% 92.95/12.07 ~spl0_1|spl0_49),
% 92.95/12.07 inference(split_clause,[status(thm)],[f859,f547,f856])).
% 92.95/12.07 fof(f864,plain,(
% 92.95/12.07 aSet0(sdtlpdtrp0(xN,xm))|~spl0_49),
% 92.95/12.07 inference(resolution,[status(thm)],[f857,f472])).
% 92.95/12.07 fof(f865,plain,(
% 92.95/12.07 $false|spl0_47|~spl0_49),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f864,f850])).
% 92.95/12.07 fof(f866,plain,(
% 92.95/12.07 spl0_47|~spl0_49),
% 92.95/12.07 inference(contradiction_clause,[status(thm)],[f865])).
% 92.95/12.07 fof(f868,plain,(
% 92.95/12.07 spl0_50 <=> sdtlpdtrp0(xN,xn)=slcrc0),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f869,plain,(
% 92.95/12.07 sdtlpdtrp0(xN,xn)=slcrc0|~spl0_50),
% 92.95/12.07 inference(component_clause,[status(thm)],[f868])).
% 92.95/12.07 fof(f1166,plain,(
% 92.95/12.07 spl0_96 <=> aElementOf0(sz00,szNzAzT0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f1168,plain,(
% 92.95/12.07 ~aElementOf0(sz00,szNzAzT0)|spl0_96),
% 92.95/12.07 inference(component_clause,[status(thm)],[f1166])).
% 92.95/12.07 fof(f1222,plain,(
% 92.95/12.07 $false|spl0_96),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f1168,f199])).
% 92.95/12.07 fof(f1223,plain,(
% 92.95/12.07 spl0_96),
% 92.95/12.07 inference(contradiction_clause,[status(thm)],[f1222])).
% 92.95/12.07 fof(f1521,plain,(
% 92.95/12.07 spl0_136 <=> aElementOf0(xn,szNzAzT0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f1523,plain,(
% 92.95/12.07 ~aElementOf0(xn,szNzAzT0)|spl0_136),
% 92.95/12.07 inference(component_clause,[status(thm)],[f1521])).
% 92.95/12.07 fof(f1555,plain,(
% 92.95/12.07 $false|spl0_136),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f1523,f466])).
% 92.95/12.07 fof(f1556,plain,(
% 92.95/12.07 spl0_136),
% 92.95/12.07 inference(contradiction_clause,[status(thm)],[f1555])).
% 92.95/12.07 fof(f1604,plain,(
% 92.95/12.07 spl0_146 <=> aSubsetOf0(szDzozmdt0(xN),szNzAzT0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f1606,plain,(
% 92.95/12.07 ~aSubsetOf0(szDzozmdt0(xN),szNzAzT0)|spl0_146),
% 92.95/12.07 inference(component_clause,[status(thm)],[f1604])).
% 92.95/12.07 fof(f1617,plain,(
% 92.95/12.07 ~aSubsetOf0(szNzAzT0,szNzAzT0)|spl0_146),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f397,f1606])).
% 92.95/12.07 fof(f1634,plain,(
% 92.95/12.07 ~aSet0(szNzAzT0)|spl0_146),
% 92.95/12.07 inference(resolution,[status(thm)],[f1617,f156])).
% 92.95/12.07 fof(f1635,plain,(
% 92.95/12.07 $false|spl0_146),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f1634,f197])).
% 92.95/12.07 fof(f1636,plain,(
% 92.95/12.07 spl0_146),
% 92.95/12.07 inference(contradiction_clause,[status(thm)],[f1635])).
% 92.95/12.07 fof(f1653,plain,(
% 92.95/12.07 spl0_153 <=> isCountable0(slcrc0)),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f1816,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSet0(slbdtrb0(X0))|~isCountable0(slbdtrb0(X0)))),
% 92.95/12.07 inference(resolution,[status(thm)],[f285,f142])).
% 92.95/12.07 fof(f1817,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,szNzAzT0)|~isCountable0(slbdtrb0(X0)))),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f1816,f509])).
% 92.95/12.07 fof(f1856,plain,(
% 92.95/12.07 ![X0,X1]: (~aSubsetOf0(X0,szDzozmdt0(xN))|~aElementOf0(X1,sdtlcdtrc0(xN,X0))|sdtlpdtrp0(xN,sk0_13(X1,sdtlcdtrc0(xN,X0),X0,xN))=X1)),
% 92.95/12.07 inference(resolution,[status(thm)],[f527,f396])).
% 92.95/12.07 fof(f1857,plain,(
% 92.95/12.07 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(X1,sdtlcdtrc0(xN,X0))|sdtlpdtrp0(xN,sk0_13(X1,sdtlcdtrc0(xN,X0),X0,xN))=X1)),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f397,f1856])).
% 92.95/12.07 fof(f2056,plain,(
% 92.95/12.07 spl0_188 <=> sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szDzozmdt0(xN)),szDzozmdt0(xN),xN))=sdtlpdtrp0(xN,X0)|~aElementOf0(X0,szDzozmdt0(xN))),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f2057,plain,(
% 92.95/12.07 ![X0]: (sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szDzozmdt0(xN)),szDzozmdt0(xN),xN))=sdtlpdtrp0(xN,X0)|~aElementOf0(X0,szDzozmdt0(xN))|~spl0_188)),
% 92.95/12.07 inference(component_clause,[status(thm)],[f2056])).
% 92.95/12.07 fof(f2059,plain,(
% 92.95/12.07 ![X0]: (~aSubsetOf0(szDzozmdt0(xN),szNzAzT0)|sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szDzozmdt0(xN)),szDzozmdt0(xN),xN))=sdtlpdtrp0(xN,X0)|~aFunction0(xN)|~aElementOf0(X0,szDzozmdt0(xN)))),
% 92.95/12.07 inference(resolution,[status(thm)],[f1857,f358])).
% 92.95/12.07 fof(f2060,plain,(
% 92.95/12.07 ~spl0_146|spl0_188|~spl0_0),
% 92.95/12.07 inference(split_clause,[status(thm)],[f2059,f1604,f2056,f544])).
% 92.95/12.07 fof(f2066,plain,(
% 92.95/12.07 ![X0]: (sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0),szDzozmdt0(xN),xN))=sdtlpdtrp0(xN,X0)|~aElementOf0(X0,szDzozmdt0(xN))|~spl0_188)),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f397,f2057])).
% 92.95/12.07 fof(f2067,plain,(
% 92.95/12.07 ![X0]: (sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0),szNzAzT0,xN))=sdtlpdtrp0(xN,X0)|~aElementOf0(X0,szDzozmdt0(xN))|~spl0_188)),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f397,f2066])).
% 92.95/12.07 fof(f2068,plain,(
% 92.95/12.07 ![X0]: (sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0),szNzAzT0,xN))=sdtlpdtrp0(xN,X0)|~aElementOf0(X0,szNzAzT0)|~spl0_188)),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f397,f2067])).
% 92.95/12.07 fof(f3481,plain,(
% 92.95/12.07 sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,xn),sdtlcdtrc0(xN,szNzAzT0),szNzAzT0,xN))=sdtlpdtrp0(xN,xn)|~spl0_188),
% 92.95/12.07 inference(resolution,[status(thm)],[f2068,f466])).
% 92.95/12.07 fof(f3768,plain,(
% 92.95/12.07 ~aElementOf0(sz00,szNzAzT0)|~isCountable0(slcrc0)),
% 92.95/12.07 inference(paramodulation,[status(thm)],[f286,f1817])).
% 92.95/12.07 fof(f3769,plain,(
% 92.95/12.07 ~spl0_96|~spl0_153),
% 92.95/12.07 inference(split_clause,[status(thm)],[f3768,f1166,f1653])).
% 92.95/12.07 fof(f4433,plain,(
% 92.95/12.07 ![X0]: (sdtlpdtrp0(xN,X0)=slcrc0|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))|~aElementOf0(X0,szNzAzT0))),
% 92.95/12.07 inference(resolution,[status(thm)],[f505,f402])).
% 92.95/12.07 fof(f4681,plain,(
% 92.95/12.07 sdtlpdtrp0(xN,sk0_13(sdtlpdtrp0(xN,xn),sdtlcdtrc0(xN,szNzAzT0),szNzAzT0,xN))=slcrc0|~spl0_50|~spl0_188),
% 92.95/12.07 inference(backward_demodulation,[status(thm)],[f869,f3481])).
% 92.95/12.07 fof(f4682,plain,(
% 92.95/12.07 sdtlpdtrp0(xN,xn)=slcrc0|~spl0_50|~spl0_188),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f3481,f4681])).
% 92.95/12.07 fof(f5778,plain,(
% 92.95/12.07 spl0_612 <=> ~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,sdtlpdtrp0(xN,xm))),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f5779,plain,(
% 92.95/12.07 ![X0]: (~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,sdtlpdtrp0(xN,xm))|~spl0_612)),
% 92.95/12.07 inference(component_clause,[status(thm)],[f5778])).
% 92.95/12.07 fof(f5781,plain,(
% 92.95/12.07 ![X0]: (~aSet0(sdtlpdtrp0(xN,xm))|~aElementOf0(X0,sdtlpdtrp0(xN,xn))|aElementOf0(X0,sdtlpdtrp0(xN,xm)))),
% 92.95/12.07 inference(resolution,[status(thm)],[f150,f476])).
% 92.95/12.07 fof(f5782,plain,(
% 92.95/12.07 ~spl0_47|spl0_612),
% 92.95/12.07 inference(split_clause,[status(thm)],[f5781,f848,f5778])).
% 92.95/12.07 fof(f5981,plain,(
% 92.95/12.07 spl0_645 <=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))),
% 92.95/12.07 introduced(split_symbol_definition)).
% 92.95/12.07 fof(f5982,plain,(
% 92.95/12.07 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))|~spl0_645),
% 92.95/12.07 inference(component_clause,[status(thm)],[f5981])).
% 92.95/12.07 fof(f5984,plain,(
% 92.95/12.07 aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))|sdtlpdtrp0(xN,xn)=slcrc0|~aElementOf0(xn,szNzAzT0)|~spl0_612),
% 92.95/12.07 inference(resolution,[status(thm)],[f5779,f4433])).
% 92.95/12.07 fof(f5985,plain,(
% 92.95/12.07 spl0_645|spl0_50|~spl0_136|~spl0_612),
% 92.95/12.07 inference(split_clause,[status(thm)],[f5984,f5981,f868,f1521,f5778])).
% 92.95/12.07 fof(f12582,plain,(
% 92.95/12.07 sdtlpdtrp0(xe,xn)=szmzizndt0(sdtlpdtrp0(xN,xn))),
% 92.95/12.07 inference(resolution,[status(thm)],[f433,f466])).
% 92.95/12.07 fof(f12583,plain,(
% 92.95/12.07 xp=szmzizndt0(sdtlpdtrp0(xN,xn))),
% 92.95/12.07 inference(forward_demodulation,[status(thm)],[f467,f12582])).
% 92.95/12.07 fof(f12658,plain,(
% 92.95/12.07 aElementOf0(xp,sdtlpdtrp0(xN,xm))|~spl0_645),
% 92.95/12.07 inference(backward_demodulation,[status(thm)],[f12583,f5982])).
% 92.95/12.07 fof(f12659,plain,(
% 92.95/12.07 $false|~spl0_645),
% 92.95/12.07 inference(forward_subsumption_resolution,[status(thm)],[f12658,f477])).
% 93.33/12.11 fof(f12660,plain,(
% 93.33/12.11 ~spl0_645),
% 93.33/12.11 inference(contradiction_clause,[status(thm)],[f12659])).
% 93.33/12.11 fof(f13551,plain,(
% 93.33/12.11 spl0_1100 <=> aElementOf0(sk0_8(slcrc0,xm),slcrc0)),
% 93.33/12.11 introduced(split_symbol_definition)).
% 93.33/12.11 fof(f13552,plain,(
% 93.33/12.11 aElementOf0(sk0_8(slcrc0,xm),slcrc0)|~spl0_1100),
% 93.33/12.11 inference(component_clause,[status(thm)],[f13551])).
% 93.33/12.11 fof(f13635,plain,(
% 93.33/12.11 $false|~spl0_1100),
% 93.33/12.11 inference(forward_subsumption_resolution,[status(thm)],[f13552,f485])).
% 93.33/12.11 fof(f13636,plain,(
% 93.33/12.11 ~spl0_1100),
% 93.33/12.11 inference(contradiction_clause,[status(thm)],[f13635])).
% 93.33/12.11 fof(f15972,plain,(
% 93.33/12.11 ~aElementOf0(xn,szNzAzT0)|isCountable0(slcrc0)|~spl0_50|~spl0_188),
% 93.33/12.11 inference(paramodulation,[status(thm)],[f4682,f403])).
% 93.33/12.11 fof(f15973,plain,(
% 93.33/12.11 ~spl0_136|spl0_153|~spl0_50|~spl0_188),
% 93.33/12.11 inference(split_clause,[status(thm)],[f15972,f1521,f1653,f868,f2056])).
% 93.33/12.11 fof(f16042,plain,(
% 93.33/12.11 $false),
% 93.33/12.11 inference(sat_refutation,[status(thm)],[f551,f553,f860,f866,f1223,f1556,f1636,f2060,f3769,f5782,f5985,f12660,f13636,f15973])).
% 93.33/12.11 % SZS output end CNFRefutation for theBenchmark.p
% 93.33/12.13 % Elapsed time: 11.788295 seconds
% 93.33/12.13 % CPU time: 93.374573 seconds
% 93.33/12.13 % Total memory used: 349.019 MB
% 93.33/12.13 % Net memory used: 340.958 MB
%------------------------------------------------------------------------------