%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM578+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:43:15 PM UTC 2026
% Result : Theorem 0.14s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM578+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n009.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 21 02:41:28 UTC 2026
% 0.14/0.44 % CPUTime :
% 0.14/0.49 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.57 fof(f5,definition,(
% 0.14/0.57 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f23,axiom,(
% 0.14/0.57 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f73,hypothesis,(
% 0.14/0.57 ( aSet0(xT)& isFinite0(xT) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f75,hypothesis,(
% 0.14/0.57 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f84,hypothesis,(
% 0.14/0.57 ( aElementOf0(xi,szNzAzT0)& aElementOf0(xj,szNzAzT0) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f85,hypothesis,(
% 0.14/0.57 ( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f86,conjecture,(
% 0.14/0.57 ( (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(szszuzczcdt0(W0),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,sdtlpdtrp0(xN,W1))=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W1))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) ))=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) ))| szmzizndt0(sdtlpdtrp0(xN,W1)) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ) ))=> ( xi != xj=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xj))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f87,negated_conjecture,(
% 0.14/0.57 ~(( (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(szszuzczcdt0(W0),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,sdtlpdtrp0(xN,W1))=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W1))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) ))=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) ))| szmzizndt0(sdtlpdtrp0(xN,W1)) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ) ))=> ( xi != xj=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xj))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ) )),
% 0.14/0.57 inference(negated_conjecture,[status(cth)],[f86])).
% 0.14/0.57 fof(f98,plain,(
% 0.14/0.57 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.57 fof(f99,plain,(
% 0.14/0.57 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.14/0.57 inference(NNF_transformation,[status(thm)],[f98])).
% 0.14/0.57 fof(f100,plain,(
% 0.14/0.57 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f99])).
% 0.14/0.57 fof(f101,plain,(
% 0.14/0.57 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f100])).
% 0.14/0.57 fof(f102,plain,(
% 0.14/0.57 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f101])).
% 0.14/0.57 fof(f164,plain,(
% 0.14/0.57 aSet0(szNzAzT0)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.57 fof(f344,plain,(
% 0.14/0.57 aSet0(xT)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f73])).
% 0.14/0.57 fof(f347,plain,(
% 0.14/0.57 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 0.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 0.14/0.57 fof(f348,plain,(
% 0.14/0.57 aSet0(xS)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f347])).
% 0.14/0.57 fof(f411,plain,(
% 0.14/0.57 aElementOf0(xi,szNzAzT0)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f84])).
% 0.14/0.57 fof(f412,plain,(
% 0.14/0.57 aElementOf0(xj,szNzAzT0)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f84])).
% 0.14/0.57 fof(f413,plain,(
% 0.14/0.57 xi=xj|(sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj))),
% 0.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.14/0.57 fof(f414,plain,(
% 0.14/0.57 xi=xj|sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f413])).
% 0.14/0.57 fof(f415,plain,(
% 0.14/0.57 ((![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(szszuzczcdt0(W0),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,sdtlpdtrp0(xN,W1))|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))|(?[W2]: (aElementOf0(W2,sdtlpdtrp0(xN,W0))&~sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&~szmzizndt0(sdtlpdtrp0(xN,W1))=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&(~xi=xj&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xj))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj)))))),
% 0.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.14/0.57 fof(f416,plain,(
% 0.14/0.57 (![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(szszuzczcdt0(W0),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))))&(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,sdtlpdtrp0(xN,W1))|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))|(?[W2]: (aElementOf0(W2,sdtlpdtrp0(xN,W0))&~sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&~szmzizndt0(sdtlpdtrp0(xN,W1))=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&(~xi=xj&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xj))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),
% 0.14/0.57 inference(NNF_transformation,[status(thm)],[f415])).
% 0.14/0.57 fof(f417,plain,(
% 0.14/0.57 (![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(szszuzczcdt0(W0),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,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,W0)))|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))|(?[W2]: (aElementOf0(W2,sdtlpdtrp0(xN,W0))&~sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&~szmzizndt0(sdtlpdtrp0(xN,W1))=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&(~xi=xj&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xj))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f416])).
% 0.14/0.57 fof(f418,plain,(
% 0.14/0.57 (![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(szszuzczcdt0(W0),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,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,W0)))|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W1))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2))))&((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))|(aElementOf0(sK23_skl(W1,W0),sdtlpdtrp0(xN,W0))&~sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),sK23_skl(W1,W0))))&~szmzizndt0(sdtlpdtrp0(xN,W1))=szmzizndt0(sdtlpdtrp0(xN,W0))))))))&(~xi=xj&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xj))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),
% 0.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(W2,sK23_skl(W1,W0))],[f417])).
% 0.14/0.57 fof(f432,plain,(
% 0.14/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~szmzizndt0(sdtlpdtrp0(xN,X1))=szmzizndt0(sdtlpdtrp0(xN,X0)))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.57 fof(f433,plain,(
% 0.14/0.57 ~xi=xj),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.57 fof(f438,plain,(
% 0.14/0.57 szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.57 fof(f514,definition,(
% 0.14/0.57 sQ0_spl <=> (xi=xj)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f515,plain,(
% 0.14/0.57 xi=xj|~sQ0_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f514])).
% 0.14/0.57 fof(f517,definition,(
% 0.14/0.57 sQ1_spl <=> (sdtlseqdt0(szszuzczcdt0(xj),xi))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f520,definition,(
% 0.14/0.57 sQ2_spl <=> (sdtlseqdt0(szszuzczcdt0(xi),xj))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f523,plain,(
% 0.14/0.57 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f414,f514,f517,f520])).
% 0.14/0.57 fof(f532,definition,(
% 0.14/0.57 sQ3_spl <=> (aElementOf0(xi,szNzAzT0))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f534,plain,(
% 0.14/0.57 ~aElementOf0(xi,szNzAzT0)|sQ3_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f532])).
% 0.14/0.57 fof(f535,definition,(
% 0.14/0.57 sQ4_spl <=> (aElementOf0(xj,szNzAzT0))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f537,plain,(
% 0.14/0.57 ~aElementOf0(xj,szNzAzT0)|sQ4_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f535])).
% 0.14/0.57 fof(f542,plain,(
% 0.14/0.57 $false|sQ4_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f537,f412])).
% 0.14/0.57 fof(f543,plain,(
% 0.14/0.57 sQ4_spl),
% 0.14/0.57 inference(contradiction_clause,[status(thm)],[f542])).
% 0.14/0.57 fof(f544,plain,(
% 0.14/0.57 $false|sQ3_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f534,f411])).
% 0.14/0.57 fof(f545,plain,(
% 0.14/0.57 sQ3_spl),
% 0.14/0.57 inference(contradiction_clause,[status(thm)],[f544])).
% 0.14/0.57 fof(f552,plain,(
% 0.14/0.57 $false|~sQ0_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f515,f433])).
% 0.14/0.57 fof(f553,plain,(
% 0.14/0.57 ~sQ0_spl),
% 0.14/0.57 inference(contradiction_clause,[status(thm)],[f552])).
% 0.14/0.57 fof(f564,definition,(
% 0.14/0.57 sQ7_spl <=> (aSet0(szNzAzT0))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f566,plain,(
% 0.14/0.57 ~aSet0(szNzAzT0)|sQ7_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f564])).
% 0.14/0.57 fof(f586,plain,(
% 0.14/0.57 $false|sQ7_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f566,f164])).
% 0.14/0.57 fof(f587,plain,(
% 0.14/0.57 sQ7_spl),
% 0.14/0.57 inference(contradiction_clause,[status(thm)],[f586])).
% 0.14/0.57 fof(f592,plain,(
% 0.14/0.57 aSet0(slcrc0)),
% 0.14/0.57 inference(equality_resolution,[status(thm)],[f102])).
% 0.14/0.57 fof(f644,definition,(
% 0.14/0.57 sQ22_spl <=> (aSet0(xS))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f646,plain,(
% 0.14/0.57 ~aSet0(xS)|sQ22_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f644])).
% 0.14/0.57 fof(f655,definition,(
% 0.14/0.57 sQ25_spl <=> (aSet0(xT))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f657,plain,(
% 0.14/0.57 ~aSet0(xT)|sQ25_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f655])).
% 0.14/0.57 fof(f662,definition,(
% 0.14/0.57 sQ27_spl <=> (aSet0(slcrc0))),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f664,plain,(
% 0.14/0.57 ~aSet0(slcrc0)|sQ27_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f662])).
% 0.14/0.57 fof(f669,plain,(
% 0.14/0.57 $false|sQ27_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f664,f592])).
% 0.14/0.59 fof(f670,plain,(
% 0.14/0.59 sQ27_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f669])).
% 0.14/0.59 fof(f671,plain,(
% 0.14/0.59 $false|sQ25_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f657,f344])).
% 0.14/0.59 fof(f672,plain,(
% 0.14/0.59 sQ25_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f671])).
% 0.14/0.59 fof(f673,plain,(
% 0.14/0.59 $false|sQ22_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f646,f348])).
% 0.14/0.59 fof(f674,plain,(
% 0.14/0.59 sQ22_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f673])).
% 0.14/0.59 fof(f678,plain,(
% 0.14/0.59 ~aElementOf0(xj,szNzAzT0)|~aElementOf0(xi,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xj),xi)),
% 0.14/0.59 inference(resolution,[status(thm)],[f432,f438])).
% 0.14/0.59 fof(f679,plain,(
% 0.14/0.59 ~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.14/0.59 inference(resolution,[status(thm)],[f432,f438])).
% 0.14/0.59 fof(f683,plain,(
% 0.14/0.59 ~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f678,f535,f532,f517])).
% 0.14/0.59 fof(f684,plain,(
% 0.14/0.59 ~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f679,f532,f535,f520])).
% 0.14/0.59 fof(f694,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(sat_refutation,[status(thm)],[f523,f543,f545,f553,f587,f670,f672,f674,f683,f684])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.157524 seconds
% 0.14/0.61 % CPU time: 0.680634 seconds
% 0.14/0.61 % Total memory used: 106.292 MB
% 0.14/0.61 % Net memory used: 105.748 MB
%------------------------------------------------------------------------------