TSTP Solution File: NUM582+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:48 EDT 2023
% Result : Theorem 7.86s 1.42s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:12:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 7.86/1.42 % Refutation found
% 7.86/1.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.86/1.42 % SZS output start CNFRefutation for theBenchmark
% 7.86/1.42 fof(f10,definition,(
% 7.86/1.42 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f24,axiom,(
% 7.86/1.42 aElementOf0(sz00,szNzAzT0) ),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f30,axiom,(
% 7.86/1.42 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f81,hypothesis,(
% 7.86/1.42 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ) ))| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W1)& aElementOf0(W1,sdtlpdtrp0(xN,W0))& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f82,hypothesis,(
% 7.86/1.42 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f83,hypothesis,(
% 7.86/1.42 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> ( (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ) )),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f85,hypothesis,(
% 7.86/1.42 aElementOf0(xi,szNzAzT0) ),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f88,conjecture,(
% 7.86/1.42 ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ) ),
% 7.86/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.86/1.42 fof(f89,negated_conjecture,(
% 7.86/1.42 ~(( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ) )),
% 7.86/1.42 inference(negated_conjecture,[status(cth)],[f88])).
% 7.86/1.42 fof(f114,plain,(
% 7.86/1.42 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 7.86/1.42 fof(f115,plain,(
% 7.86/1.42 ![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))))))))),
% 7.86/1.42 inference(NNF_transformation,[status(esa)],[f114])).
% 7.86/1.42 fof(f116,plain,(
% 7.86/1.42 ![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))))))))),
% 7.86/1.42 inference(miniscoping,[status(esa)],[f115])).
% 7.86/1.42 fof(f117,plain,(
% 7.86/1.42 ![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)))))))),
% 7.86/1.42 inference(skolemization,[status(esa)],[f116])).
% 7.86/1.42 fof(f119,plain,(
% 7.86/1.42 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f117])).
% 7.86/1.42 fof(f168,plain,(
% 7.86/1.42 aElementOf0(sz00,szNzAzT0)),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f24])).
% 7.86/1.42 fof(f182,plain,(
% 7.86/1.42 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 7.86/1.42 fof(f183,plain,(
% 7.86/1.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f182])).
% 7.86/1.42 fof(f386,plain,(
% 7.86/1.42 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0)))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 7.86/1.42 fof(f387,plain,(
% 7.86/1.42 ![W0]: (pd0_4(W0)=>(((~aSet0(sdtlpdtrp0(xN,W0))|(?[W1]: (aElementOf0(W1,sdtlpdtrp0(xN,W0))&~aElementOf0(W1,szNzAzT0))))&~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))|~isCountable0(sdtlpdtrp0(xN,W0))))),
% 7.86/1.42 introduced(predicate_definition,[f386])).
% 7.86/1.42 fof(f388,plain,(
% 7.86/1.42 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 7.86/1.42 inference(formula_renaming,[status(thm)],[f386,f387])).
% 7.86/1.42 fof(f389,plain,(
% 7.86/1.42 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: ((~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 7.86/1.42 inference(NNF_transformation,[status(esa)],[f388])).
% 7.86/1.42 fof(f390,plain,(
% 7.86/1.42 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W1]: (~aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W1)&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&~W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))|W1=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))|aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 7.86/1.42 inference(miniscoping,[status(esa)],[f389])).
% 7.86/1.42 fof(f393,plain,(
% 7.86/1.42 sdtlpdtrp0(xN,sz00)=xS),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f390])).
% 7.86/1.42 fof(f405,plain,(
% 7.86/1.42 ![W0]: (~aElementOf0(W0,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 7.86/1.42 fof(f406,plain,(
% 7.86/1.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0)))),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f405])).
% 7.86/1.42 fof(f410,plain,(
% 7.86/1.42 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|((![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|aElementOf0(W2,sdtlpdtrp0(xN,W1))))&aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)))))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 7.86/1.42 fof(f412,plain,(
% 7.86/1.42 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)))),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f410])).
% 7.86/1.42 fof(f420,plain,(
% 7.86/1.42 aElementOf0(xi,szNzAzT0)),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f85])).
% 7.86/1.42 fof(f447,plain,(
% 7.86/1.42 ((?[W0]: (aElementOf0(W0,sdtlpdtrp0(xN,xi))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),
% 7.86/1.42 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 7.86/1.42 fof(f448,plain,(
% 7.86/1.42 (aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))&~aElementOf0(sk0_24,xS))&~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),
% 7.86/1.42 inference(skolemization,[status(esa)],[f447])).
% 7.86/1.42 fof(f449,plain,(
% 7.86/1.42 aElementOf0(sk0_24,sdtlpdtrp0(xN,xi))),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f448])).
% 7.86/1.42 fof(f450,plain,(
% 7.86/1.42 ~aElementOf0(sk0_24,xS)),
% 7.86/1.42 inference(cnf_transformation,[status(esa)],[f448])).
% 7.86/1.42 fof(f582,plain,(
% 7.86/1.42 spl0_6 <=> aElementOf0(sz00,szNzAzT0)),
% 7.86/1.42 introduced(split_symbol_definition)).
% 7.86/1.42 fof(f584,plain,(
% 7.86/1.42 ~aElementOf0(sz00,szNzAzT0)|spl0_6),
% 7.86/1.42 inference(component_clause,[status(thm)],[f582])).
% 7.86/1.42 fof(f612,plain,(
% 7.86/1.42 spl0_12 <=> aElementOf0(xi,szNzAzT0)),
% 7.86/1.42 introduced(split_symbol_definition)).
% 7.86/1.42 fof(f614,plain,(
% 7.86/1.42 ~aElementOf0(xi,szNzAzT0)|spl0_12),
% 7.86/1.42 inference(component_clause,[status(thm)],[f612])).
% 7.86/1.42 fof(f627,plain,(
% 7.86/1.42 $false|spl0_12),
% 7.86/1.42 inference(forward_subsumption_resolution,[status(thm)],[f614,f420])).
% 7.86/1.42 fof(f628,plain,(
% 7.86/1.42 spl0_12),
% 7.86/1.42 inference(contradiction_clause,[status(thm)],[f627])).
% 7.86/1.42 fof(f653,plain,(
% 7.86/1.42 $false|spl0_6),
% 7.86/1.42 inference(forward_subsumption_resolution,[status(thm)],[f168,f584])).
% 7.86/1.42 fof(f654,plain,(
% 7.86/1.42 spl0_6),
% 7.86/1.42 inference(contradiction_clause,[status(thm)],[f653])).
% 7.86/1.42 fof(f2128,plain,(
% 7.86/1.42 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|~aSet0(sdtlpdtrp0(xN,X1))|~aElementOf0(X2,sdtlpdtrp0(xN,X0))|aElementOf0(X2,sdtlpdtrp0(xN,X1)))),
% 7.86/1.42 inference(resolution,[status(thm)],[f412,f119])).
% 7.86/1.42 fof(f2129,plain,(
% 7.86/1.42 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|~aElementOf0(X2,sdtlpdtrp0(xN,X0))|aElementOf0(X2,sdtlpdtrp0(xN,X1)))),
% 7.86/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2128,f406])).
% 7.86/1.42 fof(f2658,plain,(
% 7.86/1.42 sdtlseqdt0(sz00,xi)),
% 7.86/1.42 inference(resolution,[status(thm)],[f183,f420])).
% 7.86/1.42 fof(f2875,plain,(
% 7.86/1.42 spl0_260 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))),
% 7.86/1.42 introduced(split_symbol_definition)).
% 7.86/1.42 fof(f2876,plain,(
% 7.86/1.42 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0))|~spl0_260)),
% 7.86/1.42 inference(component_clause,[status(thm)],[f2875])).
% 7.86/1.42 fof(f2878,plain,(
% 7.86/1.42 ![X0]: (~aElementOf0(xi,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xi)|aElementOf0(sk0_24,sdtlpdtrp0(xN,X0)))),
% 7.86/1.42 inference(resolution,[status(thm)],[f2129,f449])).
% 7.86/1.42 fof(f2879,plain,(
% 7.86/1.42 ~spl0_12|spl0_260),
% 7.86/1.42 inference(split_clause,[status(thm)],[f2878,f612,f2875])).
% 7.86/1.42 fof(f2897,plain,(
% 7.86/1.42 spl0_264 <=> sdtlseqdt0(sz00,xi)),
% 7.86/1.42 introduced(split_symbol_definition)).
% 7.86/1.42 fof(f2899,plain,(
% 7.86/1.42 ~sdtlseqdt0(sz00,xi)|spl0_264),
% 7.86/1.42 inference(component_clause,[status(thm)],[f2897])).
% 7.86/1.42 fof(f2900,plain,(
% 7.86/1.42 spl0_265 <=> aElementOf0(sk0_24,xS)),
% 7.86/1.42 introduced(split_symbol_definition)).
% 7.86/1.42 fof(f2901,plain,(
% 7.86/1.42 aElementOf0(sk0_24,xS)|~spl0_265),
% 7.86/1.42 inference(component_clause,[status(thm)],[f2900])).
% 7.86/1.42 fof(f2903,plain,(
% 7.86/1.42 ~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(sz00,xi)|aElementOf0(sk0_24,xS)|~spl0_260),
% 7.86/1.42 inference(paramodulation,[status(thm)],[f393,f2876])).
% 7.86/1.42 fof(f2904,plain,(
% 7.86/1.42 ~spl0_6|~spl0_264|spl0_265|~spl0_260),
% 7.86/1.42 inference(split_clause,[status(thm)],[f2903,f582,f2897,f2900,f2875])).
% 7.86/1.42 fof(f2905,plain,(
% 7.86/1.42 $false|spl0_264),
% 7.86/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2899,f2658])).
% 7.86/1.42 fof(f2906,plain,(
% 7.86/1.42 spl0_264),
% 7.86/1.42 inference(contradiction_clause,[status(thm)],[f2905])).
% 7.86/1.42 fof(f2907,plain,(
% 7.86/1.42 $false|~spl0_265),
% 7.86/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2901,f450])).
% 7.86/1.42 fof(f2908,plain,(
% 7.86/1.42 ~spl0_265),
% 7.86/1.42 inference(contradiction_clause,[status(thm)],[f2907])).
% 7.86/1.42 fof(f2909,plain,(
% 7.86/1.42 $false),
% 7.86/1.42 inference(sat_refutation,[status(thm)],[f628,f654,f2879,f2904,f2906,f2908])).
% 7.86/1.42 % SZS output end CNFRefutation for theBenchmark.p
% 8.38/1.46 % Elapsed time: 1.097959 seconds
% 8.38/1.46 % CPU time: 8.471212 seconds
% 8.38/1.46 % Memory used: 114.273 MB
%------------------------------------------------------------------------------