TSTP Solution File: NUM564+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:35:10 EDT 2024
% Result : Theorem 14.45s 2.24s
% Output : CNFRefutation 14.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:52:12 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 14.45/2.24 % Refutation found
% 14.45/2.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.45/2.24 % SZS output start CNFRefutation for theBenchmark
% 14.45/2.24 fof(f5,definition,(
% 14.45/2.24 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f8,axiom,(
% 14.45/2.24 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ isFinite0(W0) ) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f10,definition,(
% 14.45/2.24 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f23,axiom,(
% 14.45/2.24 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f24,axiom,(
% 14.45/2.24 aElementOf0(sz00,szNzAzT0) ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f42,axiom,(
% 14.45/2.24 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f57,definition,(
% 14.45/2.24 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f59,axiom,(
% 14.45/2.24 (! [W0] :( ( aSet0(W0)& ~ isFinite0(W0) )=> (! [W1] :( aElementOf0(W1,szNzAzT0)=> slbdtsldtrb0(W0,W1) != slcrc0 ) )) )),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f75,hypothesis,(
% 14.45/2.24 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f76,hypothesis,(
% 14.45/2.24 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f78,hypothesis,(
% 14.45/2.24 xK = sz00 ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f79,conjecture,(
% 14.45/2.24 aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
% 14.45/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.45/2.24 fof(f80,negated_conjecture,(
% 14.45/2.24 ~(aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) )),
% 14.45/2.24 inference(negated_conjecture,[status(cth)],[f79])).
% 14.45/2.24 fof(f91,plain,(
% 14.45/2.24 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 14.45/2.24 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 14.45/2.24 fof(f92,plain,(
% 14.45/2.24 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 14.45/2.24 inference(NNF_transformation,[status(esa)],[f91])).
% 14.45/2.24 fof(f93,plain,(
% 14.45/2.24 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 14.45/2.24 inference(miniscoping,[status(esa)],[f92])).
% 14.45/2.24 fof(f94,plain,(
% 14.45/2.24 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 14.45/2.24 inference(skolemization,[status(esa)],[f93])).
% 14.45/2.24 fof(f95,plain,(
% 14.45/2.24 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 14.45/2.24 inference(cnf_transformation,[status(esa)],[f94])).
% 14.45/2.24 fof(f97,plain,(
% 14.45/2.24 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sk0_0(X0),X0))),
% 14.45/2.24 inference(cnf_transformation,[status(esa)],[f94])).
% 14.45/2.24 fof(f101,plain,(
% 14.45/2.24 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),
% 14.45/2.24 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 14.45/2.24 fof(f102,plain,(
% 14.45/2.24 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~isFinite0(X0))),
% 14.45/2.24 inference(cnf_transformation,[status(esa)],[f101])).
% 14.45/2.24 fof(f105,plain,(
% 14.45/2.24 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 14.45/2.24 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 14.45/2.24 fof(f106,plain,(
% 14.45/2.24 ![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))))))))),
% 14.45/2.24 inference(NNF_transformation,[status(esa)],[f105])).
% 14.45/2.24 fof(f107,plain,(
% 14.45/2.24 ![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))))))))),
% 14.45/2.25 inference(miniscoping,[status(esa)],[f106])).
% 14.45/2.25 fof(f108,plain,(
% 14.45/2.25 ![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)))))))),
% 14.45/2.25 inference(skolemization,[status(esa)],[f107])).
% 14.45/2.25 fof(f109,plain,(
% 14.45/2.25 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f108])).
% 14.45/2.25 fof(f157,plain,(
% 14.45/2.25 aSet0(szNzAzT0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f23])).
% 14.45/2.25 fof(f159,plain,(
% 14.45/2.25 aElementOf0(sz00,szNzAzT0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f24])).
% 14.45/2.25 fof(f201,plain,(
% 14.45/2.25 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 14.45/2.25 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 14.45/2.25 fof(f202,plain,(
% 14.45/2.25 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 14.45/2.25 inference(NNF_transformation,[status(esa)],[f201])).
% 14.45/2.25 fof(f203,plain,(
% 14.45/2.25 ![X0]: (~aSet0(X0)|~sbrdtbr0(X0)=sz00|X0=slcrc0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f202])).
% 14.45/2.25 fof(f204,plain,(
% 14.45/2.25 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f202])).
% 14.45/2.25 fof(f262,plain,(
% 14.45/2.25 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 14.45/2.25 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 14.45/2.25 fof(f263,plain,(
% 14.45/2.25 ![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)))))))))),
% 14.45/2.25 inference(NNF_transformation,[status(esa)],[f262])).
% 14.45/2.25 fof(f264,plain,(
% 14.45/2.25 ![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)))))))))),
% 14.45/2.25 inference(miniscoping,[status(esa)],[f263])).
% 14.45/2.25 fof(f265,plain,(
% 14.45/2.25 ![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))))))))),
% 14.45/2.25 inference(skolemization,[status(esa)],[f264])).
% 14.45/2.25 fof(f266,plain,(
% 14.45/2.25 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f265])).
% 14.45/2.25 fof(f267,plain,(
% 14.45/2.25 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|aSubsetOf0(X3,X0))),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f265])).
% 14.45/2.25 fof(f268,plain,(
% 14.45/2.25 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f265])).
% 14.45/2.25 fof(f275,plain,(
% 14.45/2.25 ![W0]: ((~aSet0(W0)|isFinite0(W0))|(![W1]: (~aElementOf0(W1,szNzAzT0)|~slbdtsldtrb0(W0,W1)=slcrc0)))),
% 14.45/2.25 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 14.45/2.25 fof(f276,plain,(
% 14.45/2.25 ![X0,X1]: (~aSet0(X0)|isFinite0(X0)|~aElementOf0(X1,szNzAzT0)|~slbdtsldtrb0(X0,X1)=slcrc0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f275])).
% 14.45/2.25 fof(f340,plain,(
% 14.45/2.25 aSubsetOf0(xS,szNzAzT0)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f75])).
% 14.45/2.25 fof(f341,plain,(
% 14.45/2.25 isCountable0(xS)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f75])).
% 14.45/2.25 fof(f343,plain,(
% 14.45/2.25 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f76])).
% 14.45/2.25 fof(f351,plain,(
% 14.45/2.25 xK=sz00),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f78])).
% 14.45/2.25 fof(f352,plain,(
% 14.45/2.25 ~aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))),
% 14.45/2.25 inference(cnf_transformation,[status(esa)],[f80])).
% 14.45/2.25 fof(f359,plain,(
% 14.45/2.25 aSet0(slcrc0)),
% 14.45/2.25 inference(destructive_equality_resolution,[status(esa)],[f95])).
% 14.45/2.25 fof(f371,plain,(
% 14.45/2.25 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 14.45/2.25 inference(destructive_equality_resolution,[status(esa)],[f204])).
% 14.45/2.25 fof(f382,plain,(
% 14.45/2.25 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 14.45/2.25 inference(destructive_equality_resolution,[status(esa)],[f266])).
% 14.45/2.25 fof(f383,plain,(
% 14.45/2.25 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|aSubsetOf0(X2,X0))),
% 14.45/2.25 inference(destructive_equality_resolution,[status(esa)],[f267])).
% 14.45/2.25 fof(f384,plain,(
% 14.45/2.25 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 14.45/2.25 inference(destructive_equality_resolution,[status(esa)],[f268])).
% 14.45/2.25 fof(f402,plain,(
% 14.45/2.25 sbrdtbr0(slcrc0)=sz00),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f371,f359])).
% 14.45/2.25 fof(f418,plain,(
% 14.45/2.25 spl0_3 <=> aSet0(xS)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f421,plain,(
% 14.45/2.25 spl0_4 <=> aElementOf0(xK,szNzAzT0)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f423,plain,(
% 14.45/2.25 ~aElementOf0(xK,szNzAzT0)|spl0_4),
% 14.45/2.25 inference(component_clause,[status(thm)],[f421])).
% 14.45/2.25 fof(f424,plain,(
% 14.45/2.25 spl0_5 <=> aSet0(szDzozmdt0(xc))),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f427,plain,(
% 14.45/2.25 ~aSet0(xS)|~aElementOf0(xK,szNzAzT0)|aSet0(szDzozmdt0(xc))),
% 14.45/2.25 inference(paramodulation,[status(thm)],[f343,f382])).
% 14.45/2.25 fof(f428,plain,(
% 14.45/2.25 ~spl0_3|~spl0_4|spl0_5),
% 14.45/2.25 inference(split_clause,[status(thm)],[f427,f418,f421,f424])).
% 14.45/2.25 fof(f429,plain,(
% 14.45/2.25 spl0_6 <=> ~aElementOf0(X0,szDzozmdt0(xc))|aSubsetOf0(X0,xS)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f430,plain,(
% 14.45/2.25 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aSubsetOf0(X0,xS)|~spl0_6)),
% 14.45/2.25 inference(component_clause,[status(thm)],[f429])).
% 14.45/2.25 fof(f432,plain,(
% 14.45/2.25 ![X0]: (~aSet0(xS)|~aElementOf0(xK,szNzAzT0)|~aElementOf0(X0,szDzozmdt0(xc))|aSubsetOf0(X0,xS))),
% 14.45/2.25 inference(paramodulation,[status(thm)],[f343,f383])).
% 14.45/2.25 fof(f433,plain,(
% 14.45/2.25 ~spl0_3|~spl0_4|spl0_6),
% 14.45/2.25 inference(split_clause,[status(thm)],[f432,f418,f421,f429])).
% 14.45/2.25 fof(f434,plain,(
% 14.45/2.25 szDzozmdt0(xc)=slbdtsldtrb0(xS,sz00)),
% 14.45/2.25 inference(backward_demodulation,[status(thm)],[f351,f343])).
% 14.45/2.25 fof(f441,plain,(
% 14.45/2.25 spl0_8 <=> aSet0(szNzAzT0)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f443,plain,(
% 14.45/2.25 ~aSet0(szNzAzT0)|spl0_8),
% 14.45/2.25 inference(component_clause,[status(thm)],[f441])).
% 14.45/2.25 fof(f449,plain,(
% 14.45/2.25 spl0_10 <=> isFinite0(xS)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f452,plain,(
% 14.45/2.25 ~aSet0(xS)|~isFinite0(xS)),
% 14.45/2.25 inference(resolution,[status(thm)],[f102,f341])).
% 14.45/2.25 fof(f453,plain,(
% 14.45/2.25 ~spl0_3|~spl0_10),
% 14.45/2.25 inference(split_clause,[status(thm)],[f452,f418,f449])).
% 14.45/2.25 fof(f469,plain,(
% 14.45/2.25 $false|spl0_8),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f443,f157])).
% 14.45/2.25 fof(f470,plain,(
% 14.45/2.25 spl0_8),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f469])).
% 14.45/2.25 fof(f493,plain,(
% 14.45/2.25 ~aSet0(szNzAzT0)|aSet0(xS)),
% 14.45/2.25 inference(resolution,[status(thm)],[f109,f340])).
% 14.45/2.25 fof(f494,plain,(
% 14.45/2.25 ~spl0_8|spl0_3),
% 14.45/2.25 inference(split_clause,[status(thm)],[f493,f441,f418])).
% 14.45/2.25 fof(f495,plain,(
% 14.45/2.25 ~aElementOf0(sz00,szNzAzT0)|spl0_4),
% 14.45/2.25 inference(forward_demodulation,[status(thm)],[f351,f423])).
% 14.45/2.25 fof(f496,plain,(
% 14.45/2.25 $false|spl0_4),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f495,f159])).
% 14.45/2.25 fof(f497,plain,(
% 14.45/2.25 spl0_4),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f496])).
% 14.45/2.25 fof(f499,plain,(
% 14.45/2.25 spl0_17 <=> aSubsetOf0(sk0_0(szDzozmdt0(xc)),xS)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f500,plain,(
% 14.45/2.25 aSubsetOf0(sk0_0(szDzozmdt0(xc)),xS)|~spl0_17),
% 14.45/2.25 inference(component_clause,[status(thm)],[f499])).
% 14.45/2.25 fof(f502,plain,(
% 14.45/2.25 spl0_18 <=> szDzozmdt0(xc)=slcrc0),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f504,plain,(
% 14.45/2.25 ~szDzozmdt0(xc)=slcrc0|spl0_18),
% 14.45/2.25 inference(component_clause,[status(thm)],[f502])).
% 14.45/2.25 fof(f505,plain,(
% 14.45/2.25 aSubsetOf0(sk0_0(szDzozmdt0(xc)),xS)|szDzozmdt0(xc)=slcrc0|~aSet0(szDzozmdt0(xc))|~spl0_6),
% 14.45/2.25 inference(resolution,[status(thm)],[f430,f97])).
% 14.45/2.25 fof(f506,plain,(
% 14.45/2.25 spl0_17|spl0_18|~spl0_5|~spl0_6),
% 14.45/2.25 inference(split_clause,[status(thm)],[f505,f499,f502,f424,f429])).
% 14.45/2.25 fof(f507,plain,(
% 14.45/2.25 spl0_19 <=> aSet0(sk0_0(szDzozmdt0(xc)))),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f510,plain,(
% 14.45/2.25 ~aSet0(xS)|aSet0(sk0_0(szDzozmdt0(xc)))|~spl0_17),
% 14.45/2.25 inference(resolution,[status(thm)],[f500,f109])).
% 14.45/2.25 fof(f511,plain,(
% 14.45/2.25 ~spl0_3|spl0_19|~spl0_17),
% 14.45/2.25 inference(split_clause,[status(thm)],[f510,f418,f507,f499])).
% 14.45/2.25 fof(f530,plain,(
% 14.45/2.25 ~aElementOf0(slcrc0,szDzozmdt0(xc))),
% 14.45/2.25 inference(backward_demodulation,[status(thm)],[f434,f352])).
% 14.45/2.25 fof(f534,plain,(
% 14.45/2.25 spl0_21 <=> aElementOf0(sz00,szNzAzT0)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f536,plain,(
% 14.45/2.25 ~aElementOf0(sz00,szNzAzT0)|spl0_21),
% 14.45/2.25 inference(component_clause,[status(thm)],[f534])).
% 14.45/2.25 fof(f546,plain,(
% 14.45/2.25 ~aSet0(xS)|isFinite0(xS)|~aElementOf0(sz00,szNzAzT0)|~szDzozmdt0(xc)=slcrc0),
% 14.45/2.25 inference(paramodulation,[status(thm)],[f434,f276])).
% 14.45/2.25 fof(f547,plain,(
% 14.45/2.25 ~spl0_3|spl0_10|~spl0_21|~spl0_18),
% 14.45/2.25 inference(split_clause,[status(thm)],[f546,f418,f449,f534,f502])).
% 14.45/2.25 fof(f577,plain,(
% 14.45/2.25 $false|spl0_21),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f536,f159])).
% 14.45/2.25 fof(f578,plain,(
% 14.45/2.25 spl0_21),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f577])).
% 14.45/2.25 fof(f584,plain,(
% 14.45/2.25 spl0_28 <=> slbdtsldtrb0(xS,sz00)=slcrc0),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f585,plain,(
% 14.45/2.25 slbdtsldtrb0(xS,sz00)=slcrc0|~spl0_28),
% 14.45/2.25 inference(component_clause,[status(thm)],[f584])).
% 14.45/2.25 fof(f646,plain,(
% 14.45/2.25 spl0_36 <=> sk0_0(slbdtsldtrb0(xS,sz00))=slcrc0),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f647,plain,(
% 14.45/2.25 sk0_0(slbdtsldtrb0(xS,sz00))=slcrc0|~spl0_36),
% 14.45/2.25 inference(component_clause,[status(thm)],[f646])).
% 14.45/2.25 fof(f648,plain,(
% 14.45/2.25 ~sk0_0(slbdtsldtrb0(xS,sz00))=slcrc0|spl0_36),
% 14.45/2.25 inference(component_clause,[status(thm)],[f646])).
% 14.45/2.25 fof(f651,plain,(
% 14.45/2.25 szDzozmdt0(xc)=slcrc0|~spl0_28),
% 14.45/2.25 inference(forward_demodulation,[status(thm)],[f434,f585])).
% 14.45/2.25 fof(f652,plain,(
% 14.45/2.25 $false|spl0_18|~spl0_28),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f651,f504])).
% 14.45/2.25 fof(f653,plain,(
% 14.45/2.25 spl0_18|~spl0_28),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f652])).
% 14.45/2.25 fof(f659,plain,(
% 14.45/2.25 sk0_0(szDzozmdt0(xc))=slcrc0|~spl0_36),
% 14.45/2.25 inference(forward_demodulation,[status(thm)],[f434,f647])).
% 14.45/2.25 fof(f992,plain,(
% 14.45/2.25 spl0_86 <=> aElementOf0(slcrc0,szDzozmdt0(xc))),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f993,plain,(
% 14.45/2.25 aElementOf0(slcrc0,szDzozmdt0(xc))|~spl0_86),
% 14.45/2.25 inference(component_clause,[status(thm)],[f992])).
% 14.45/2.25 fof(f995,plain,(
% 14.45/2.25 szDzozmdt0(xc)=slcrc0|~aSet0(szDzozmdt0(xc))|aElementOf0(slcrc0,szDzozmdt0(xc))|~spl0_36),
% 14.45/2.25 inference(paramodulation,[status(thm)],[f659,f97])).
% 14.45/2.25 fof(f996,plain,(
% 14.45/2.25 spl0_18|~spl0_5|spl0_86|~spl0_36),
% 14.45/2.25 inference(split_clause,[status(thm)],[f995,f502,f424,f992,f646])).
% 14.45/2.25 fof(f997,plain,(
% 14.45/2.25 $false|~spl0_86),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f993,f530])).
% 14.45/2.25 fof(f998,plain,(
% 14.45/2.25 ~spl0_86),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f997])).
% 14.45/2.25 fof(f999,plain,(
% 14.45/2.25 ~sk0_0(szDzozmdt0(xc))=slcrc0|spl0_36),
% 14.45/2.25 inference(forward_demodulation,[status(thm)],[f434,f648])).
% 14.45/2.25 fof(f1708,plain,(
% 14.45/2.25 spl0_182 <=> aSubsetOf0(xS,szNzAzT0)),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f1710,plain,(
% 14.45/2.25 ~aSubsetOf0(xS,szNzAzT0)|spl0_182),
% 14.45/2.25 inference(component_clause,[status(thm)],[f1708])).
% 14.45/2.25 fof(f1758,plain,(
% 14.45/2.25 $false|spl0_182),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f1710,f340])).
% 14.45/2.25 fof(f1759,plain,(
% 14.45/2.25 spl0_182),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f1758])).
% 14.45/2.25 fof(f2072,plain,(
% 14.45/2.25 spl0_217 <=> sk0_0(szDzozmdt0(xc))=slcrc0),
% 14.45/2.25 introduced(split_symbol_definition)).
% 14.45/2.25 fof(f2073,plain,(
% 14.45/2.25 sk0_0(szDzozmdt0(xc))=slcrc0|~spl0_217),
% 14.45/2.25 inference(component_clause,[status(thm)],[f2072])).
% 14.45/2.25 fof(f2659,plain,(
% 14.45/2.25 $false|spl0_36|~spl0_217),
% 14.45/2.25 inference(forward_subsumption_resolution,[status(thm)],[f2073,f999])).
% 14.45/2.25 fof(f2660,plain,(
% 14.45/2.25 spl0_36|~spl0_217),
% 14.45/2.25 inference(contradiction_clause,[status(thm)],[f2659])).
% 14.45/2.25 fof(f6434,plain,(
% 14.45/2.25 spl0_665 <=> aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)),
% 14.45/2.26 introduced(split_symbol_definition)).
% 14.45/2.26 fof(f6436,plain,(
% 14.45/2.26 ~aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)|spl0_665),
% 14.45/2.26 inference(component_clause,[status(thm)],[f6434])).
% 14.45/2.26 fof(f6439,plain,(
% 14.45/2.26 ~aElementOf0(sz00,szNzAzT0)|spl0_665),
% 14.45/2.26 inference(forward_demodulation,[status(thm)],[f402,f6436])).
% 14.45/2.26 fof(f6440,plain,(
% 14.45/2.26 $false|spl0_665),
% 14.45/2.26 inference(forward_subsumption_resolution,[status(thm)],[f6439,f159])).
% 14.45/2.26 fof(f6441,plain,(
% 14.45/2.26 spl0_665),
% 14.45/2.26 inference(contradiction_clause,[status(thm)],[f6440])).
% 14.45/2.26 fof(f8377,plain,(
% 14.45/2.26 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|sbrdtbr0(sk0_0(slbdtsldtrb0(X0,X1)))=X1|slbdtsldtrb0(X0,X1)=slcrc0|~aSet0(slbdtsldtrb0(X0,X1)))),
% 14.45/2.26 inference(resolution,[status(thm)],[f384,f97])).
% 14.45/2.26 fof(f8378,plain,(
% 14.45/2.26 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|sbrdtbr0(sk0_0(slbdtsldtrb0(X0,X1)))=X1|slbdtsldtrb0(X0,X1)=slcrc0)),
% 14.45/2.26 inference(forward_subsumption_resolution,[status(thm)],[f8377,f382])).
% 14.45/2.26 fof(f8899,plain,(
% 14.45/2.26 spl0_933 <=> sbrdtbr0(sk0_0(szDzozmdt0(xc)))=sz00),
% 14.45/2.26 introduced(split_symbol_definition)).
% 14.45/2.26 fof(f8900,plain,(
% 14.45/2.26 sbrdtbr0(sk0_0(szDzozmdt0(xc)))=sz00|~spl0_933),
% 14.45/2.26 inference(component_clause,[status(thm)],[f8899])).
% 14.45/2.26 fof(f9262,plain,(
% 14.45/2.26 ~aSet0(xS)|~aElementOf0(sz00,szNzAzT0)|sbrdtbr0(sk0_0(szDzozmdt0(xc)))=sz00|slbdtsldtrb0(xS,sz00)=slcrc0),
% 14.45/2.26 inference(paramodulation,[status(thm)],[f434,f8378])).
% 14.45/2.26 fof(f9263,plain,(
% 14.45/2.26 ~spl0_3|~spl0_21|spl0_933|spl0_28),
% 14.45/2.26 inference(split_clause,[status(thm)],[f9262,f418,f534,f8899,f584])).
% 14.45/2.26 fof(f10516,plain,(
% 14.45/2.26 ~aSet0(sk0_0(szDzozmdt0(xc)))|sk0_0(szDzozmdt0(xc))=slcrc0|~spl0_933),
% 14.45/2.26 inference(resolution,[status(thm)],[f8900,f203])).
% 14.45/2.26 fof(f10517,plain,(
% 14.45/2.26 ~spl0_19|spl0_217|~spl0_933),
% 14.45/2.26 inference(split_clause,[status(thm)],[f10516,f507,f2072,f8899])).
% 14.45/2.26 fof(f10592,plain,(
% 14.45/2.26 $false),
% 14.45/2.26 inference(sat_refutation,[status(thm)],[f428,f433,f453,f470,f494,f497,f506,f511,f547,f578,f653,f996,f998,f1759,f2660,f6441,f9263,f10517])).
% 14.45/2.26 % SZS output end CNFRefutation for theBenchmark.p
% 15.26/2.28 % Elapsed time: 1.910677 seconds
% 15.26/2.28 % CPU time: 14.986191 seconds
% 15.26/2.28 % Total memory used: 178.594 MB
% 15.26/2.28 % Net memory used: 175.179 MB
%------------------------------------------------------------------------------