TSTP Solution File: NUM609+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM609+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:29:55 EDT 2023
% Result : Theorem 9.40s 1.75s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM609+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:59:43 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.33 % Drodi V3.5.1
% 9.40/1.75 % Refutation found
% 9.40/1.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.40/1.75 % SZS output start CNFRefutation for theBenchmark
% 9.40/1.75 fof(f3,axiom,(
% 9.40/1.75 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f10,definition,(
% 9.40/1.75 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f16,definition,(
% 9.40/1.75 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtmndt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& aElementOf0(W3,W0)& W3 != W1 ) ) )) ) )) )),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f23,axiom,(
% 9.40/1.75 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f80,hypothesis,(
% 9.40/1.75 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f95,hypothesis,(
% 9.40/1.75 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f101,hypothesis,(
% 9.40/1.75 aSubsetOf0(xQ,szNzAzT0) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f103,hypothesis,(
% 9.40/1.75 xp = szmzizndt0(xQ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f104,hypothesis,(
% 9.40/1.75 ( aSet0(xP)& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f105,hypothesis,(
% 9.40/1.75 aElementOf0(xp,xQ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f106,hypothesis,(
% 9.40/1.75 aElementOf0(xp,xO) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f107,conjecture,(
% 9.40/1.75 aSubsetOf0(xP,xQ) ),
% 9.40/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.40/1.75 fof(f108,negated_conjecture,(
% 9.40/1.75 ~(aSubsetOf0(xP,xQ) )),
% 9.40/1.75 inference(negated_conjecture,[status(cth)],[f107])).
% 9.40/1.75 fof(f115,plain,(
% 9.40/1.75 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 9.40/1.75 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 9.40/1.75 fof(f116,plain,(
% 9.40/1.75 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f115])).
% 9.40/1.75 fof(f133,plain,(
% 9.40/1.75 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 9.40/1.75 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 9.40/1.75 fof(f134,plain,(
% 9.40/1.75 ![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))))))))),
% 9.40/1.75 inference(NNF_transformation,[status(esa)],[f133])).
% 9.40/1.75 fof(f135,plain,(
% 9.40/1.75 ![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))))))))),
% 9.40/1.75 inference(miniscoping,[status(esa)],[f134])).
% 9.40/1.75 fof(f136,plain,(
% 9.40/1.75 ![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)))))))),
% 9.40/1.75 inference(skolemization,[status(esa)],[f135])).
% 9.40/1.75 fof(f137,plain,(
% 9.40/1.75 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f136])).
% 9.40/1.75 fof(f139,plain,(
% 9.40/1.75 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sk0_1(X1,X0),X1))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f136])).
% 9.40/1.75 fof(f140,plain,(
% 9.40/1.75 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sk0_1(X1,X0),X0))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f136])).
% 9.40/1.75 fof(f162,plain,(
% 9.40/1.75 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))))))),
% 9.40/1.75 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 9.40/1.75 fof(f163,plain,(
% 9.40/1.75 ![W0,W1,W3]: (pd0_0(W3,W1,W0)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))),
% 9.40/1.75 introduced(predicate_definition,[f162])).
% 9.40/1.75 fof(f164,plain,(
% 9.40/1.75 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>pd0_0(W3,W1,W0)))))))),
% 9.40/1.75 inference(formula_renaming,[status(thm)],[f162,f163])).
% 9.40/1.75 fof(f165,plain,(
% 9.40/1.75 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtmndt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))))))&(W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 9.40/1.75 inference(NNF_transformation,[status(esa)],[f164])).
% 9.40/1.75 fof(f166,plain,(
% 9.40/1.75 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 9.40/1.75 inference(miniscoping,[status(esa)],[f165])).
% 9.40/1.75 fof(f167,plain,(
% 9.40/1.75 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_3(W2,W1,W0),W2)|~pd0_0(sk0_3(W2,W1,W0),W1,W0))&(aElementOf0(sk0_3(W2,W1,W0),W2)|pd0_0(sk0_3(W2,W1,W0),W1,W0))))))))),
% 9.40/1.75 inference(skolemization,[status(esa)],[f166])).
% 9.40/1.75 fof(f169,plain,(
% 9.40/1.75 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|~aElementOf0(X3,X2)|pd0_0(X3,X1,X0))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f167])).
% 9.40/1.75 fof(f185,plain,(
% 9.40/1.75 aSet0(szNzAzT0)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f23])).
% 9.40/1.75 fof(f381,plain,(
% 9.40/1.75 aElementOf0(xk,szNzAzT0)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f80])).
% 9.40/1.75 fof(f429,plain,(
% 9.40/1.75 aSet0(xO)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f95])).
% 9.40/1.75 fof(f442,plain,(
% 9.40/1.75 aSubsetOf0(xQ,szNzAzT0)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f101])).
% 9.40/1.75 fof(f444,plain,(
% 9.40/1.75 xp=szmzizndt0(xQ)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f103])).
% 9.40/1.75 fof(f445,plain,(
% 9.40/1.75 aSet0(xP)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f104])).
% 9.40/1.75 fof(f446,plain,(
% 9.40/1.75 xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f104])).
% 9.40/1.75 fof(f447,plain,(
% 9.40/1.75 aElementOf0(xp,xQ)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f105])).
% 9.40/1.75 fof(f448,plain,(
% 9.40/1.75 aElementOf0(xp,xO)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f106])).
% 9.40/1.75 fof(f449,plain,(
% 9.40/1.75 ~aSubsetOf0(xP,xQ)),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f108])).
% 9.40/1.75 fof(f450,plain,(
% 9.40/1.75 ![W0,W1,W3]: ((~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))&(pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 9.40/1.75 inference(NNF_transformation,[status(esa)],[f163])).
% 9.40/1.75 fof(f451,plain,(
% 9.40/1.75 (![W0,W1,W3]: (~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))&(![W0,W1,W3]: (pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 9.40/1.75 inference(miniscoping,[status(esa)],[f450])).
% 9.40/1.75 fof(f453,plain,(
% 9.40/1.75 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|aElementOf0(X0,X2))),
% 9.40/1.75 inference(cnf_transformation,[status(esa)],[f451])).
% 9.40/1.75 fof(f474,plain,(
% 9.40/1.75 spl0_1 <=> aSet0(szNzAzT0)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f476,plain,(
% 9.40/1.75 ~aSet0(szNzAzT0)|spl0_1),
% 9.40/1.75 inference(component_clause,[status(thm)],[f474])).
% 9.40/1.75 fof(f487,plain,(
% 9.40/1.75 spl0_4 <=> aSet0(xP)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f489,plain,(
% 9.40/1.75 ~aSet0(xP)|spl0_4),
% 9.40/1.75 inference(component_clause,[status(thm)],[f487])).
% 9.40/1.75 fof(f492,plain,(
% 9.40/1.75 $false|spl0_4),
% 9.40/1.75 inference(forward_subsumption_resolution,[status(thm)],[f489,f445])).
% 9.40/1.75 fof(f493,plain,(
% 9.40/1.75 spl0_4),
% 9.40/1.75 inference(contradiction_clause,[status(thm)],[f492])).
% 9.40/1.75 fof(f495,plain,(
% 9.40/1.75 spl0_5 <=> aSet0(xQ)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f497,plain,(
% 9.40/1.75 ~aSet0(xQ)|spl0_5),
% 9.40/1.75 inference(component_clause,[status(thm)],[f495])).
% 9.40/1.75 fof(f560,plain,(
% 9.40/1.75 spl0_17 <=> aElement0(szmzizndt0(xQ))),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f562,plain,(
% 9.40/1.75 ~aElement0(szmzizndt0(xQ))|spl0_17),
% 9.40/1.75 inference(component_clause,[status(thm)],[f560])).
% 9.40/1.75 fof(f579,plain,(
% 9.40/1.75 spl0_19 <=> aElementOf0(sk0_1(xP,xQ),xP)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f580,plain,(
% 9.40/1.75 aElementOf0(sk0_1(xP,xQ),xP)|~spl0_19),
% 9.40/1.75 inference(component_clause,[status(thm)],[f579])).
% 9.40/1.75 fof(f582,plain,(
% 9.40/1.75 ~aSet0(xQ)|~aSet0(xP)|aElementOf0(sk0_1(xP,xQ),xP)),
% 9.40/1.75 inference(resolution,[status(thm)],[f139,f449])).
% 9.40/1.75 fof(f583,plain,(
% 9.40/1.75 ~spl0_5|~spl0_4|spl0_19),
% 9.40/1.75 inference(split_clause,[status(thm)],[f582,f495,f487,f579])).
% 9.40/1.75 fof(f600,plain,(
% 9.40/1.75 spl0_22 <=> aElementOf0(sk0_1(xP,xQ),xQ)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f602,plain,(
% 9.40/1.75 ~aElementOf0(sk0_1(xP,xQ),xQ)|spl0_22),
% 9.40/1.75 inference(component_clause,[status(thm)],[f600])).
% 9.40/1.75 fof(f603,plain,(
% 9.40/1.75 ~aSet0(xQ)|~aSet0(xP)|~aElementOf0(sk0_1(xP,xQ),xQ)),
% 9.40/1.75 inference(resolution,[status(thm)],[f140,f449])).
% 9.40/1.75 fof(f604,plain,(
% 9.40/1.75 ~spl0_5|~spl0_4|~spl0_22),
% 9.40/1.75 inference(split_clause,[status(thm)],[f603,f495,f487,f600])).
% 9.40/1.75 fof(f624,plain,(
% 9.40/1.75 spl0_25 <=> ~aElementOf0(X0,xP)|pd0_0(X0,szmzizndt0(xQ),xQ)),
% 9.40/1.75 introduced(split_symbol_definition)).
% 9.40/1.75 fof(f625,plain,(
% 9.40/1.75 ![X0]: (~aElementOf0(X0,xP)|pd0_0(X0,szmzizndt0(xQ),xQ)|~spl0_25)),
% 9.40/1.75 inference(component_clause,[status(thm)],[f624])).
% 9.40/1.75 fof(f627,plain,(
% 9.40/1.75 ![X0]: (~aSet0(xQ)|~aElement0(szmzizndt0(xQ))|~aElementOf0(X0,xP)|pd0_0(X0,szmzizndt0(xQ),xQ))),
% 9.40/1.75 inference(resolution,[status(thm)],[f169,f446])).
% 9.40/1.75 fof(f628,plain,(
% 9.40/1.75 ~spl0_5|~spl0_17|spl0_25),
% 9.40/1.75 inference(split_clause,[status(thm)],[f627,f495,f560,f624])).
% 9.40/1.75 fof(f703,plain,(
% 9.40/1.75 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|spl0_5)),
% 9.40/1.75 inference(resolution,[status(thm)],[f497,f137])).
% 9.40/1.75 fof(f704,plain,(
% 9.40/1.75 ~aSet0(szNzAzT0)|spl0_5),
% 9.40/1.75 inference(resolution,[status(thm)],[f703,f442])).
% 9.40/1.75 fof(f836,plain,(
% 9.40/1.75 ~spl0_1|spl0_5),
% 9.40/1.75 inference(split_clause,[status(thm)],[f704,f474,f495])).
% 9.40/1.75 fof(f1275,plain,(
% 9.40/1.75 $false|spl0_1),
% 9.40/1.75 inference(forward_subsumption_resolution,[status(thm)],[f185,f476])).
% 9.40/1.75 fof(f1276,plain,(
% 9.40/1.75 spl0_1),
% 9.40/1.75 inference(contradiction_clause,[status(thm)],[f1275])).
% 9.40/1.75 fof(f2379,plain,(
% 9.40/1.75 ![X0]: (~aElementOf0(X0,xO)|aElement0(X0))),
% 9.40/1.75 inference(resolution,[status(thm)],[f429,f116])).
% 9.40/1.75 fof(f3732,plain,(
% 9.40/1.75 ~aElement0(xp)|spl0_17),
% 9.40/1.76 inference(backward_demodulation,[status(thm)],[f444,f562])).
% 9.40/1.76 fof(f4350,plain,(
% 9.40/1.76 spl0_428 <=> aElement0(xp)),
% 9.40/1.76 introduced(split_symbol_definition)).
% 9.40/1.76 fof(f4352,plain,(
% 9.40/1.76 ~aElement0(xp)|spl0_428),
% 9.40/1.76 inference(component_clause,[status(thm)],[f4350])).
% 9.40/1.76 fof(f5188,plain,(
% 9.40/1.76 ~aElementOf0(xp,xO)|spl0_17),
% 9.40/1.76 inference(resolution,[status(thm)],[f2379,f3732])).
% 9.40/1.76 fof(f5189,plain,(
% 9.40/1.76 $false|spl0_17),
% 9.40/1.76 inference(forward_subsumption_resolution,[status(thm)],[f5188,f448])).
% 9.40/1.76 fof(f5190,plain,(
% 9.40/1.76 spl0_17),
% 9.40/1.76 inference(contradiction_clause,[status(thm)],[f5189])).
% 9.40/1.76 fof(f5196,plain,(
% 9.40/1.76 ![X0]: (~aElementOf0(X0,xP)|pd0_0(X0,xp,xQ)|~spl0_25)),
% 9.40/1.76 inference(forward_demodulation,[status(thm)],[f444,f625])).
% 9.40/1.76 fof(f5282,plain,(
% 9.40/1.76 spl0_531 <=> aElementOf0(xp,xQ)),
% 9.40/1.76 introduced(split_symbol_definition)).
% 9.40/1.76 fof(f5284,plain,(
% 9.40/1.76 ~aElementOf0(xp,xQ)|spl0_531),
% 9.40/1.76 inference(component_clause,[status(thm)],[f5282])).
% 9.40/1.76 fof(f5290,plain,(
% 9.40/1.76 $false|spl0_531),
% 9.40/1.76 inference(forward_subsumption_resolution,[status(thm)],[f5284,f447])).
% 9.40/1.76 fof(f5291,plain,(
% 9.40/1.76 spl0_531),
% 9.40/1.76 inference(contradiction_clause,[status(thm)],[f5290])).
% 9.40/1.76 fof(f5433,plain,(
% 9.40/1.76 ~aElementOf0(xp,xO)|spl0_428),
% 9.40/1.76 inference(resolution,[status(thm)],[f4352,f2379])).
% 9.40/1.76 fof(f5434,plain,(
% 9.40/1.76 $false|spl0_428),
% 9.40/1.76 inference(forward_subsumption_resolution,[status(thm)],[f5433,f448])).
% 9.40/1.76 fof(f5435,plain,(
% 9.40/1.76 spl0_428),
% 9.40/1.76 inference(contradiction_clause,[status(thm)],[f5434])).
% 9.40/1.76 fof(f6085,plain,(
% 9.40/1.76 spl0_603 <=> aElementOf0(xk,szNzAzT0)),
% 9.40/1.76 introduced(split_symbol_definition)).
% 9.40/1.76 fof(f6087,plain,(
% 9.40/1.76 ~aElementOf0(xk,szNzAzT0)|spl0_603),
% 9.40/1.76 inference(component_clause,[status(thm)],[f6085])).
% 9.40/1.76 fof(f6093,plain,(
% 9.40/1.76 $false|spl0_603),
% 9.40/1.76 inference(forward_subsumption_resolution,[status(thm)],[f6087,f381])).
% 9.40/1.76 fof(f6094,plain,(
% 9.40/1.76 spl0_603),
% 9.40/1.76 inference(contradiction_clause,[status(thm)],[f6093])).
% 9.40/1.76 fof(f6104,plain,(
% 9.40/1.76 ![X0]: (~pd0_0(sk0_1(xP,xQ),X0,xQ)|spl0_22)),
% 9.40/1.76 inference(resolution,[status(thm)],[f453,f602])).
% 9.40/1.76 fof(f6388,plain,(
% 9.40/1.76 ~aElementOf0(sk0_1(xP,xQ),xP)|~spl0_25|spl0_22),
% 9.40/1.76 inference(resolution,[status(thm)],[f5196,f6104])).
% 9.40/1.76 fof(f6389,plain,(
% 9.40/1.76 $false|~spl0_19|~spl0_25|spl0_22),
% 9.40/1.76 inference(forward_subsumption_resolution,[status(thm)],[f6388,f580])).
% 9.40/1.76 fof(f6390,plain,(
% 9.40/1.76 ~spl0_19|~spl0_25|spl0_22),
% 9.40/1.76 inference(contradiction_clause,[status(thm)],[f6389])).
% 9.40/1.76 fof(f6391,plain,(
% 9.40/1.76 $false),
% 9.40/1.76 inference(sat_refutation,[status(thm)],[f493,f583,f604,f628,f836,f1276,f5190,f5291,f5435,f6094,f6390])).
% 9.40/1.76 % SZS output end CNFRefutation for theBenchmark.p
% 10.11/1.79 % Elapsed time: 1.466320 seconds
% 10.11/1.79 % CPU time: 10.230217 seconds
% 10.11/1.79 % Memory used: 117.889 MB
%------------------------------------------------------------------------------