TSTP Solution File: NUM592+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM592+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:35:16 EDT 2024
% Result : Theorem 34.47s 4.71s
% Output : CNFRefutation 34.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM592+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n007.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 : Mon Apr 29 20:36:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 34.47/4.71 % Refutation found
% 34.47/4.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 34.47/4.71 % SZS output start CNFRefutation for theBenchmark
% 34.47/4.71 fof(f10,definition,(
% 34.47/4.71 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f12,axiom,(
% 34.47/4.71 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f14,axiom,(
% 34.47/4.71 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f23,axiom,(
% 34.47/4.71 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f57,definition,(
% 34.47/4.71 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f80,hypothesis,(
% 34.47/4.71 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f91,hypothesis,(
% 34.47/4.71 ( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))& xd = sdtlpdtrp0(xC,xi) ) ),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f92,hypothesis,(
% 34.47/4.71 ( aSubsetOf0(xY,szNzAzT0)& isCountable0(xY)& aFunction0(xd)& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ) ),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f93,hypothesis,(
% 34.47/4.71 ( aElementOf0(xu,xT)& aSubsetOf0(xX,xY)& isCountable0(xX)& (! [W0] :( ( aSet0(W0)& aElementOf0(W0,slbdtsldtrb0(xX,xk)) )=> sdtlpdtrp0(xd,W0) = xu ) )) ),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f94,conjecture,(
% 34.47/4.71 (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2) = W0 ) )) )) )),
% 34.47/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.47/4.71 fof(f95,negated_conjecture,(
% 34.47/4.71 ~((? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2) = W0 ) )) )) ))),
% 34.47/4.71 inference(negated_conjecture,[status(cth)],[f94])).
% 34.47/4.71 fof(f120,plain,(
% 34.47/4.71 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 34.47/4.71 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 34.47/4.71 fof(f121,plain,(
% 34.47/4.71 ![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))))))))),
% 34.47/4.71 inference(NNF_transformation,[status(esa)],[f120])).
% 34.47/4.71 fof(f122,plain,(
% 34.47/4.71 ![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))))))))),
% 34.47/4.71 inference(miniscoping,[status(esa)],[f121])).
% 34.47/4.71 fof(f123,plain,(
% 34.47/4.71 ![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)))))))),
% 34.47/4.71 inference(skolemization,[status(esa)],[f122])).
% 34.47/4.71 fof(f124,plain,(
% 34.47/4.71 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 34.47/4.71 inference(cnf_transformation,[status(esa)],[f123])).
% 34.47/4.71 fof(f130,plain,(
% 34.47/4.71 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 34.47/4.71 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 34.47/4.71 fof(f131,plain,(
% 34.47/4.71 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 34.47/4.71 inference(cnf_transformation,[status(esa)],[f130])).
% 34.47/4.71 fof(f134,plain,(
% 34.47/4.71 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 34.47/4.71 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 34.47/4.74 fof(f135,plain,(
% 34.47/4.74 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f134])).
% 34.47/4.74 fof(f172,plain,(
% 34.47/4.74 aSet0(szNzAzT0)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f23])).
% 34.47/4.74 fof(f277,plain,(
% 34.47/4.74 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 34.47/4.74 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 34.47/4.74 fof(f278,plain,(
% 34.47/4.74 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 34.47/4.74 inference(NNF_transformation,[status(esa)],[f277])).
% 34.47/4.74 fof(f279,plain,(
% 34.47/4.74 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 34.47/4.74 inference(miniscoping,[status(esa)],[f278])).
% 34.47/4.74 fof(f280,plain,(
% 34.47/4.74 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aSubsetOf0(sk0_10(W2,W1,W0),W0)|~sbrdtbr0(sk0_10(W2,W1,W0))=W1))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aSubsetOf0(sk0_10(W2,W1,W0),W0)&sbrdtbr0(sk0_10(W2,W1,W0))=W1))))))))),
% 34.47/4.74 inference(skolemization,[status(esa)],[f279])).
% 34.47/4.74 fof(f282,plain,(
% 34.47/4.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|aSubsetOf0(X3,X0))),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f280])).
% 34.47/4.74 fof(f368,plain,(
% 34.47/4.74 aElementOf0(xk,szNzAzT0)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f80])).
% 34.47/4.74 fof(f397,plain,(
% 34.47/4.74 xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f91])).
% 34.47/4.74 fof(f398,plain,(
% 34.47/4.74 xd=sdtlpdtrp0(xC,xi)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f91])).
% 34.47/4.74 fof(f399,plain,(
% 34.47/4.74 aSubsetOf0(xY,szNzAzT0)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f92])).
% 34.47/4.74 fof(f404,plain,(
% 34.47/4.74 ((aElementOf0(xu,xT)&aSubsetOf0(xX,xY))&isCountable0(xX))&(![W0]: ((~aSet0(W0)|~aElementOf0(W0,slbdtsldtrb0(xX,xk)))|sdtlpdtrp0(xd,W0)=xu))),
% 34.47/4.74 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 34.47/4.74 fof(f405,plain,(
% 34.47/4.74 aElementOf0(xu,xT)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f404])).
% 34.47/4.74 fof(f406,plain,(
% 34.47/4.74 aSubsetOf0(xX,xY)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f404])).
% 34.47/4.74 fof(f407,plain,(
% 34.47/4.74 isCountable0(xX)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f404])).
% 34.47/4.74 fof(f408,plain,(
% 34.47/4.74 ![X0]: (~aSet0(X0)|~aElementOf0(X0,slbdtsldtrb0(xX,xk))|sdtlpdtrp0(xd,X0)=xu)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f404])).
% 34.47/4.74 fof(f409,plain,(
% 34.47/4.74 (![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(W1))|(?[W2]: ((aSet0(W2)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2)=W0))))))),
% 34.47/4.74 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 34.47/4.74 fof(f410,plain,(
% 34.47/4.74 ![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(W1))|((aSet0(sk0_21(W1,W0))&aElementOf0(sk0_21(W1,W0),slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_21(W1,W0))=W0))))),
% 34.47/4.74 inference(skolemization,[status(esa)],[f409])).
% 34.47/4.74 fof(f412,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(X1)|aElementOf0(sk0_21(X1,X0),slbdtsldtrb0(X1,xk)))),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f410])).
% 34.47/4.74 fof(f413,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(X1)|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_21(X1,X0))=X0)),
% 34.47/4.74 inference(cnf_transformation,[status(esa)],[f410])).
% 34.47/4.74 fof(f444,plain,(
% 34.47/4.74 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|aSubsetOf0(X2,X0))),
% 34.47/4.74 inference(destructive_equality_resolution,[status(esa)],[f282])).
% 34.47/4.74 fof(f478,plain,(
% 34.47/4.74 spl0_4 <=> aSet0(szNzAzT0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f480,plain,(
% 34.47/4.74 ~aSet0(szNzAzT0)|spl0_4),
% 34.47/4.74 inference(component_clause,[status(thm)],[f478])).
% 34.47/4.74 fof(f499,plain,(
% 34.47/4.74 $false|spl0_4),
% 34.47/4.74 inference(forward_subsumption_resolution,[status(thm)],[f480,f172])).
% 34.47/4.74 fof(f500,plain,(
% 34.47/4.74 spl0_4),
% 34.47/4.74 inference(contradiction_clause,[status(thm)],[f499])).
% 34.47/4.74 fof(f533,plain,(
% 34.47/4.74 spl0_15 <=> aSet0(xX)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f541,plain,(
% 34.47/4.74 spl0_17 <=> aSet0(xY)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f626,plain,(
% 34.47/4.74 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 34.47/4.74 inference(forward_subsumption_resolution,[status(thm)],[f135,f124])).
% 34.47/4.74 fof(f748,plain,(
% 34.47/4.74 spl0_50 <=> aElementOf0(xk,szNzAzT0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f750,plain,(
% 34.47/4.74 ~aElementOf0(xk,szNzAzT0)|spl0_50),
% 34.47/4.74 inference(component_clause,[status(thm)],[f748])).
% 34.47/4.74 fof(f759,plain,(
% 34.47/4.74 $false|spl0_50),
% 34.47/4.74 inference(forward_subsumption_resolution,[status(thm)],[f750,f368])).
% 34.47/4.74 fof(f760,plain,(
% 34.47/4.74 spl0_50),
% 34.47/4.74 inference(contradiction_clause,[status(thm)],[f759])).
% 34.47/4.74 fof(f769,plain,(
% 34.47/4.74 spl0_54 <=> ~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f770,plain,(
% 34.47/4.74 ![X0]: (~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0)|~spl0_54)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f769])).
% 34.47/4.74 fof(f772,plain,(
% 34.47/4.74 ![X0]: (~aSet0(szNzAzT0)|~aSet0(X0)|~aSubsetOf0(szNzAzT0,X0)|aSubsetOf0(xY,X0))),
% 34.47/4.74 inference(resolution,[status(thm)],[f399,f626])).
% 34.47/4.74 fof(f773,plain,(
% 34.47/4.74 ~spl0_4|spl0_54),
% 34.47/4.74 inference(split_clause,[status(thm)],[f772,f478,f769])).
% 34.47/4.74 fof(f787,plain,(
% 34.47/4.74 ~aSet0(szNzAzT0)|aSet0(xY)),
% 34.47/4.74 inference(resolution,[status(thm)],[f399,f124])).
% 34.47/4.74 fof(f788,plain,(
% 34.47/4.74 ~spl0_4|spl0_17),
% 34.47/4.74 inference(split_clause,[status(thm)],[f787,f478,f541])).
% 34.47/4.74 fof(f794,plain,(
% 34.47/4.74 spl0_59 <=> ~aSet0(X0)|~aSubsetOf0(xY,X0)|aSubsetOf0(xX,X0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f795,plain,(
% 34.47/4.74 ![X0]: (~aSet0(X0)|~aSubsetOf0(xY,X0)|aSubsetOf0(xX,X0)|~spl0_59)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f794])).
% 34.47/4.74 fof(f797,plain,(
% 34.47/4.74 ![X0]: (~aSet0(xY)|~aSet0(X0)|~aSubsetOf0(xY,X0)|aSubsetOf0(xX,X0))),
% 34.47/4.74 inference(resolution,[status(thm)],[f406,f626])).
% 34.47/4.74 fof(f798,plain,(
% 34.47/4.74 ~spl0_17|spl0_59),
% 34.47/4.74 inference(split_clause,[status(thm)],[f797,f541,f794])).
% 34.47/4.74 fof(f926,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(X1)|~sdtlpdtrp0(xd,sk0_21(X1,X0))=X0)),
% 34.47/4.74 inference(backward_demodulation,[status(thm)],[f398,f413])).
% 34.47/4.74 fof(f1457,plain,(
% 34.47/4.74 spl0_151 <=> aSubsetOf0(xY,szNzAzT0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f1458,plain,(
% 34.47/4.74 aSubsetOf0(xY,szNzAzT0)|~spl0_151),
% 34.47/4.74 inference(component_clause,[status(thm)],[f1457])).
% 34.47/4.74 fof(f1460,plain,(
% 34.47/4.74 ~aSet0(szNzAzT0)|aSubsetOf0(xY,szNzAzT0)|~aSet0(szNzAzT0)|~spl0_54),
% 34.47/4.74 inference(resolution,[status(thm)],[f770,f131])).
% 34.47/4.74 fof(f1461,plain,(
% 34.47/4.74 ~spl0_4|spl0_151|~spl0_54),
% 34.47/4.74 inference(split_clause,[status(thm)],[f1460,f478,f1457,f769])).
% 34.47/4.74 fof(f1462,plain,(
% 34.47/4.74 spl0_152 <=> aSubsetOf0(xX,xY)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f1463,plain,(
% 34.47/4.74 aSubsetOf0(xX,xY)|~spl0_152),
% 34.47/4.74 inference(component_clause,[status(thm)],[f1462])).
% 34.47/4.74 fof(f1465,plain,(
% 34.47/4.74 ~aSet0(xY)|aSubsetOf0(xX,xY)|~aSet0(xY)|~spl0_59),
% 34.47/4.74 inference(resolution,[status(thm)],[f795,f131])).
% 34.47/4.74 fof(f1466,plain,(
% 34.47/4.74 ~spl0_17|spl0_152|~spl0_59),
% 34.47/4.74 inference(split_clause,[status(thm)],[f1465,f541,f1462,f794])).
% 34.47/4.74 fof(f1528,plain,(
% 34.47/4.74 spl0_153 <=> aSubsetOf0(xX,szNzAzT0)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f1529,plain,(
% 34.47/4.74 aSubsetOf0(xX,szNzAzT0)|~spl0_153),
% 34.47/4.74 inference(component_clause,[status(thm)],[f1528])).
% 34.47/4.74 fof(f1531,plain,(
% 34.47/4.74 ~aSet0(szNzAzT0)|aSubsetOf0(xX,szNzAzT0)|~spl0_151|~spl0_59),
% 34.47/4.74 inference(resolution,[status(thm)],[f1458,f795])).
% 34.47/4.74 fof(f1532,plain,(
% 34.47/4.74 ~spl0_4|spl0_153|~spl0_151|~spl0_59),
% 34.47/4.74 inference(split_clause,[status(thm)],[f1531,f478,f1528,f1457,f794])).
% 34.47/4.74 fof(f1573,plain,(
% 34.47/4.74 ~aSet0(szNzAzT0)|aSet0(xX)|~spl0_153),
% 34.47/4.74 inference(resolution,[status(thm)],[f1529,f124])).
% 34.47/4.74 fof(f1574,plain,(
% 34.47/4.74 ~spl0_4|spl0_15|~spl0_153),
% 34.47/4.74 inference(split_clause,[status(thm)],[f1573,f478,f533,f1528])).
% 34.47/4.74 fof(f2177,plain,(
% 34.47/4.74 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 34.47/4.74 inference(forward_subsumption_resolution,[status(thm)],[f626,f124])).
% 34.47/4.74 fof(f2216,plain,(
% 34.47/4.74 spl0_224 <=> ~aSubsetOf0(X0,xX)|aSubsetOf0(X0,xY)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f2217,plain,(
% 34.47/4.74 ![X0]: (~aSubsetOf0(X0,xX)|aSubsetOf0(X0,xY)|~spl0_224)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f2216])).
% 34.47/4.74 fof(f2219,plain,(
% 34.47/4.74 ![X0]: (~aSet0(xY)|~aSubsetOf0(X0,xX)|aSubsetOf0(X0,xY)|~spl0_152)),
% 34.47/4.74 inference(resolution,[status(thm)],[f2177,f1463])).
% 34.47/4.74 fof(f2220,plain,(
% 34.47/4.74 ~spl0_17|spl0_224|~spl0_152),
% 34.47/4.74 inference(split_clause,[status(thm)],[f2219,f541,f2216,f1462])).
% 34.47/4.74 fof(f8616,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|aElementOf0(sk0_21(X1,X0),slbdtsldtrb0(X1,xk)))),
% 34.47/4.74 inference(backward_demodulation,[status(thm)],[f397,f412])).
% 34.47/4.74 fof(f8617,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|~sdtlpdtrp0(xd,sk0_21(X1,X0))=X0)),
% 34.47/4.74 inference(backward_demodulation,[status(thm)],[f397,f926])).
% 34.47/4.74 fof(f9356,plain,(
% 34.47/4.74 spl0_1147 <=> ~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|~aSet0(X1)|aSubsetOf0(sk0_21(X1,X0),X1)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f9357,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|~aSet0(X1)|aSubsetOf0(sk0_21(X1,X0),X1)|~spl0_1147)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f9356])).
% 34.47/4.74 fof(f9359,plain,(
% 34.47/4.74 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xY)|~isCountable0(X1)|~aSet0(X1)|~aElementOf0(xk,szNzAzT0)|aSubsetOf0(sk0_21(X1,X0),X1))),
% 34.47/4.74 inference(resolution,[status(thm)],[f8616,f444])).
% 34.47/4.74 fof(f9360,plain,(
% 34.47/4.74 spl0_1147|~spl0_50),
% 34.47/4.74 inference(split_clause,[status(thm)],[f9359,f9356,f748])).
% 34.47/4.74 fof(f9677,plain,(
% 34.47/4.74 spl0_1178 <=> ~aSet0(sk0_21(xX,X0))|sdtlpdtrp0(xd,sk0_21(xX,X0))=xu|~aElementOf0(X0,xT)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f9678,plain,(
% 34.47/4.74 ![X0]: (~aSet0(sk0_21(xX,X0))|sdtlpdtrp0(xd,sk0_21(xX,X0))=xu|~aElementOf0(X0,xT)|~spl0_1178)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f9677])).
% 34.47/4.74 fof(f9680,plain,(
% 34.47/4.74 spl0_1179 <=> isCountable0(xX)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f9682,plain,(
% 34.47/4.74 ~isCountable0(xX)|spl0_1179),
% 34.47/4.74 inference(component_clause,[status(thm)],[f9680])).
% 34.47/4.74 fof(f9683,plain,(
% 34.47/4.74 ![X0]: (~aSet0(sk0_21(xX,X0))|sdtlpdtrp0(xd,sk0_21(xX,X0))=xu|~aElementOf0(X0,xT)|~aSubsetOf0(xX,xY)|~isCountable0(xX))),
% 34.47/4.74 inference(resolution,[status(thm)],[f408,f8616])).
% 34.47/4.74 fof(f9684,plain,(
% 34.47/4.74 spl0_1178|~spl0_152|~spl0_1179),
% 34.47/4.74 inference(split_clause,[status(thm)],[f9683,f9677,f1462,f9680])).
% 34.47/4.74 fof(f9761,plain,(
% 34.47/4.74 $false|spl0_1179),
% 34.47/4.74 inference(forward_subsumption_resolution,[status(thm)],[f9682,f407])).
% 34.47/4.74 fof(f9762,plain,(
% 34.47/4.74 spl0_1179),
% 34.47/4.74 inference(contradiction_clause,[status(thm)],[f9761])).
% 34.47/4.74 fof(f14386,plain,(
% 34.47/4.74 spl0_1709 <=> ~aElementOf0(X0,xT)|aSubsetOf0(sk0_21(xX,X0),xY)),
% 34.47/4.74 introduced(split_symbol_definition)).
% 34.47/4.74 fof(f14387,plain,(
% 34.47/4.74 ![X0]: (~aElementOf0(X0,xT)|aSubsetOf0(sk0_21(xX,X0),xY)|~spl0_1709)),
% 34.47/4.74 inference(component_clause,[status(thm)],[f14386])).
% 34.47/4.74 fof(f14389,plain,(
% 34.47/4.74 ![X0]: (~aElementOf0(X0,xT)|~aSubsetOf0(xX,xY)|~isCountable0(xX)|~aSet0(xX)|aSubsetOf0(sk0_21(xX,X0),xY)|~spl0_1147|~spl0_224)),
% 34.47/4.74 inference(resolution,[status(thm)],[f9357,f2217])).
% 34.47/4.74 fof(f14390,plain,(
% 34.47/4.74 spl0_1709|~spl0_152|~spl0_1179|~spl0_15|~spl0_1147|~spl0_224),
% 34.47/4.74 inference(split_clause,[status(thm)],[f14389,f14386,f1462,f9680,f533,f9356,f2216])).
% 34.71/4.75 fof(f16659,plain,(
% 34.71/4.75 spl0_1897 <=> ~aElementOf0(X0,xT)|aSet0(sk0_21(xX,X0))),
% 34.71/4.75 introduced(split_symbol_definition)).
% 34.71/4.75 fof(f16660,plain,(
% 34.71/4.75 ![X0]: (~aElementOf0(X0,xT)|aSet0(sk0_21(xX,X0))|~spl0_1897)),
% 34.71/4.75 inference(component_clause,[status(thm)],[f16659])).
% 34.71/4.75 fof(f16683,plain,(
% 34.71/4.75 ![X0]: (~aElementOf0(X0,xT)|~aSet0(xY)|aSet0(sk0_21(xX,X0))|~spl0_1709)),
% 34.71/4.75 inference(resolution,[status(thm)],[f14387,f124])).
% 34.71/4.75 fof(f16684,plain,(
% 34.71/4.75 spl0_1897|~spl0_17|~spl0_1709),
% 34.71/4.75 inference(split_clause,[status(thm)],[f16683,f16659,f541,f14386])).
% 34.71/4.75 fof(f16720,plain,(
% 34.71/4.75 ![X0]: (sdtlpdtrp0(xd,sk0_21(xX,X0))=xu|~aElementOf0(X0,xT)|~spl0_1897|~spl0_1178)),
% 34.71/4.75 inference(forward_subsumption_resolution,[status(thm)],[f9678,f16660])).
% 34.71/4.75 fof(f16721,plain,(
% 34.71/4.75 spl0_1904 <=> aElementOf0(xu,xT)),
% 34.71/4.75 introduced(split_symbol_definition)).
% 34.71/4.75 fof(f16723,plain,(
% 34.71/4.75 ~aElementOf0(xu,xT)|spl0_1904),
% 34.71/4.75 inference(component_clause,[status(thm)],[f16721])).
% 34.71/4.75 fof(f16724,plain,(
% 34.71/4.75 ~aElementOf0(xu,xT)|~aElementOf0(xu,xT)|~aSubsetOf0(xX,xY)|~isCountable0(xX)|~spl0_1897|~spl0_1178),
% 34.71/4.75 inference(resolution,[status(thm)],[f16720,f8617])).
% 34.71/4.75 fof(f16725,plain,(
% 34.71/4.75 ~spl0_1904|~spl0_152|~spl0_1179|~spl0_1897|~spl0_1178),
% 34.71/4.75 inference(split_clause,[status(thm)],[f16724,f16721,f1462,f9680,f16659,f9677])).
% 34.71/4.75 fof(f16726,plain,(
% 34.71/4.75 $false|spl0_1904),
% 34.71/4.75 inference(forward_subsumption_resolution,[status(thm)],[f16723,f405])).
% 34.71/4.75 fof(f16727,plain,(
% 34.71/4.75 spl0_1904),
% 34.71/4.75 inference(contradiction_clause,[status(thm)],[f16726])).
% 34.71/4.75 fof(f16728,plain,(
% 34.71/4.75 $false),
% 34.71/4.75 inference(sat_refutation,[status(thm)],[f500,f760,f773,f788,f798,f1461,f1466,f1532,f1574,f2220,f9360,f9684,f9762,f14390,f16684,f16725,f16727])).
% 34.71/4.75 % SZS output end CNFRefutation for theBenchmark.p
% 34.71/4.77 % Elapsed time: 4.403058 seconds
% 34.71/4.77 % CPU time: 34.808257 seconds
% 34.71/4.77 % Total memory used: 239.665 MB
% 34.71/4.77 % Net memory used: 232.451 MB
%------------------------------------------------------------------------------