%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM586+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:17 PM UTC 2026
% Result : Theorem 0.28s 1.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM586+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n005.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 02:42:19 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.48 % Drodi V4.1.1
% 0.28/1.16 % Refutation found
% 0.28/1.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/1.16 % SZS output start CNFRefutation for theBenchmark
% 0.28/1.16 fof(f86,hypothesis,(
% 0.28/1.16 ( aFunction0(xC)& szDzozmdt0(xC) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& sbrdtbr0(W1) = xk ) )& ( ( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )& sbrdtbr0(W1) = xk )=> aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0))) ) ))& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)& (! [W1] :( ( aSet0(W1)& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,W0))& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( ( ( (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )& sbrdtbr0(W1) = xk )| aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) )=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ))& (! [W2] :( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& ( aElementOf0(W2,W1)| W2 = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))& sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) )) ) )) ),
% 0.28/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/1.16 fof(f87,hypothesis,(
% 0.28/1.16 aElementOf0(xi,szNzAzT0) ),
% 0.28/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/1.16 fof(f88,hypothesis,(
% 0.28/1.16 ( (? [W0] :( aElementOf0(W0,szDzozmdt0(sdtlpdtrp0(xC,xi)))& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ))& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ) ),
% 0.28/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/1.16 fof(f89,conjecture,(
% 0.28/1.16 (? [W0] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,xi))& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ) )),
% 0.28/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/1.16 fof(f90,negated_conjecture,(
% 0.28/1.16 ~((? [W0] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,xi))& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ) ))),
% 0.28/1.16 inference(negated_conjecture,[status(cth)],[f89])).
% 0.28/1.16 fof(f437,plain,(
% 0.28/1.16 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=>(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 0.28/1.16 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 0.28/1.16 fof(f438,definition,(
% 0.28/1.16 ![W0,W1]: (sP6_prd(W1,W0)<=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&((((?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)&~aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))),
% 0.28/1.16 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.28/1.16 fof(f439,plain,(
% 0.28/1.16 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|sP6_prd(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))<=>(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 0.28/1.16 inference(formula_renaming,[status(thm)],[f437,f438])).
% 0.28/1.16 fof(f440,plain,(
% 0.28/1.16 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&(![W1]: ((~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk))&((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|sP6_prd(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&(![W2]: ((~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 0.28/1.16 inference(NNF_transformation,[status(thm)],[f439])).
% 0.28/1.16 fof(f441,plain,(
% 0.28/1.16 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&((![W1]: (~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk)))&(![W1]: ((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|sP6_prd(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((![W2]: (~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 0.28/1.16 inference(miniscoping,[status(thm)],[f440])).
% 0.28/1.16 fof(f442,plain,(
% 0.28/1.16 (aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&((![W1]: (~aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))|(((aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&sbrdtbr0(W1)=xk)))&(![W1]: ((((~aSet0(W1)|(aElementOf0(sK24_skl(W1,W0),W1)&~aElementOf0(sK24_skl(W1,W0),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))|~sbrdtbr0(W1)=xk)|aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))))))&szDzozmdt0(sdtlpdtrp0(xC,W0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))&(![W1]: ((~aSet0(W1)|sP6_prd(W1,W0))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&((![W2]: (~aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(aElement0(W2)&(aElementOf0(W2,W1)|W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(![W2]: (aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))|(~aElement0(W2)|(~aElementOf0(W2,W1)&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)=sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))))))))),
% 0.28/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(W2,sK24_skl(W1,W0))],[f441])).
% 0.28/1.16 fof(f460,plain,(
% 0.28/1.16 ![X0]: (~aElementOf0(X0,szNzAzT0)|szDzozmdt0(sdtlpdtrp0(xC,X0))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))),
% 0.28/1.16 inference(cnf_transformation,[status(thm)],[f442])).
% 0.28/1.16 fof(f468,plain,(
% 0.28/1.16 aElementOf0(xi,szNzAzT0)),
% 0.28/1.16 inference(cnf_transformation,[status(thm)],[f87])).
% 0.28/1.16 fof(f469,plain,(
% 0.28/1.16 (aElementOf0(sK25_skl,szDzozmdt0(sdtlpdtrp0(xC,xi)))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK25_skl)=xx)&aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))),
% 0.28/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(W0,sK25_skl)],[f88])).
% 0.28/1.16 fof(f470,plain,(
% 0.28/1.16 aElementOf0(sK25_skl,szDzozmdt0(sdtlpdtrp0(xC,xi)))),
% 0.28/1.16 inference(cnf_transformation,[status(thm)],[f469])).
% 0.28/1.16 fof(f471,plain,(
% 0.28/1.16 sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK25_skl)=xx),
% 0.28/1.16 inference(cnf_transformation,[status(thm)],[f469])).
% 0.28/1.16 fof(f473,plain,(
% 0.28/1.16 (![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx))),
% 0.28/1.16 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 0.28/1.16 fof(f474,plain,(
% 0.28/1.16 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W1]: ((~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 0.28/1.16 inference(NNF_transformation,[status(thm)],[f473])).
% 0.28/1.16 fof(f475,plain,(
% 0.28/1.16 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 0.28/1.16 inference(miniscoping,[status(thm)],[f474])).
% 0.28/1.16 fof(f476,plain,(
% 0.28/1.16 ![W0]: (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,xi)))&~W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,xi)))|W1=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~aSet0(W0)|(aElementOf0(sK26_skl(W0),W0)&~aElementOf0(sK26_skl(W0),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&~aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0)=xx)),
% 0.28/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(W1,sK26_skl(W0))],[f475])).
% 0.28/1.16 fof(f487,plain,(
% 0.28/1.16 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)=xx)),
% 0.28/1.16 inference(cnf_transformation,[status(thm)],[f476])).
% 0.28/1.16 fof(f1700,plain,(
% 0.28/1.17 ~aElementOf0(sK25_skl,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),
% 0.28/1.17 inference(resolution,[status(thm)],[f471,f487])).
% 0.28/1.17 fof(f2292,plain,(
% 0.28/1.17 szDzozmdt0(sdtlpdtrp0(xC,xi))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
% 0.28/1.17 inference(resolution,[status(thm)],[f460,f468])).
% 0.28/1.17 fof(f2300,plain,(
% 0.28/1.17 ~aElementOf0(sK25_skl,szDzozmdt0(sdtlpdtrp0(xC,xi)))),
% 0.28/1.17 inference(backward_demodulation,[status(thm)],[f2292,f1700])).
% 0.28/1.17 fof(f2302,plain,(
% 0.28/1.17 $false),
% 0.28/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2300,f470])).
% 0.28/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 4.30/1.19 % Elapsed time: 0.743766 seconds
% 4.30/1.19 % CPU time: 4.549406 seconds
% 4.30/1.19 % Total memory used: 162.659 MB
% 4.30/1.19 % Net memory used: 158.992 MB
%------------------------------------------------------------------------------