TSTP Solution File: NUM607+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:35:19 EDT 2024
% Result : Theorem 24.55s 3.47s
% Output : CNFRefutation 24.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:51:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 24.55/3.47 % Refutation found
% 24.55/3.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.55/3.47 % SZS output start CNFRefutation for theBenchmark
% 24.55/3.47 fof(f10,definition,(
% 24.55/3.47 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f14,axiom,(
% 24.55/3.47 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f25,axiom,(
% 24.55/3.47 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f57,definition,(
% 24.55/3.47 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f64,axiom,(
% 24.55/3.47 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f75,hypothesis,(
% 24.55/3.47 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f76,hypothesis,(
% 24.55/3.47 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f80,hypothesis,(
% 24.55/3.47 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f92,hypothesis,(
% 24.55/3.47 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f98,hypothesis,(
% 24.55/3.47 aSubsetOf0(xO,xS) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f99,hypothesis,(
% 24.55/3.47 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f100,hypothesis,(
% 24.55/3.47 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f102,conjecture,(
% 24.55/3.47 aElementOf0(xQ,szDzozmdt0(xc)) ),
% 24.55/3.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.55/3.47 fof(f103,negated_conjecture,(
% 24.55/3.47 ~(aElementOf0(xQ,szDzozmdt0(xc)) )),
% 24.55/3.47 inference(negated_conjecture,[status(cth)],[f102])).
% 24.55/3.47 fof(f128,plain,(
% 24.55/3.47 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 24.55/3.47 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 24.55/3.47 fof(f129,plain,(
% 24.55/3.47 ![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))))))))),
% 24.55/3.47 inference(NNF_transformation,[status(esa)],[f128])).
% 24.55/3.47 fof(f130,plain,(
% 24.55/3.47 ![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))))))))),
% 24.55/3.47 inference(miniscoping,[status(esa)],[f129])).
% 24.55/3.47 fof(f131,plain,(
% 24.55/3.47 ![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)))))))),
% 24.55/3.47 inference(skolemization,[status(esa)],[f130])).
% 24.55/3.47 fof(f132,plain,(
% 24.55/3.47 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 24.55/3.47 inference(cnf_transformation,[status(esa)],[f131])).
% 24.55/3.47 fof(f142,plain,(
% 24.55/3.47 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 24.55/3.47 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 24.55/3.47 fof(f143,plain,(
% 24.55/3.47 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 24.55/3.47 inference(cnf_transformation,[status(esa)],[f142])).
% 24.55/3.47 fof(f183,plain,(
% 24.55/3.47 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 24.55/3.48 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 24.55/3.48 fof(f184,plain,(
% 24.55/3.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f183])).
% 24.55/3.48 fof(f285,plain,(
% 24.55/3.48 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 24.55/3.48 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 24.55/3.48 fof(f286,plain,(
% 24.55/3.48 ![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)))))))))),
% 24.55/3.48 inference(NNF_transformation,[status(esa)],[f285])).
% 24.55/3.48 fof(f287,plain,(
% 24.55/3.48 ![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)))))))))),
% 24.55/3.48 inference(miniscoping,[status(esa)],[f286])).
% 24.55/3.48 fof(f288,plain,(
% 24.55/3.48 ![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))))))))),
% 24.55/3.48 inference(skolemization,[status(esa)],[f287])).
% 24.55/3.48 fof(f291,plain,(
% 24.55/3.48 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f288])).
% 24.55/3.48 fof(f292,plain,(
% 24.55/3.48 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f288])).
% 24.55/3.48 fof(f312,plain,(
% 24.55/3.48 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 24.55/3.48 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 24.55/3.48 fof(f313,plain,(
% 24.55/3.48 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f312])).
% 24.55/3.48 fof(f363,plain,(
% 24.55/3.48 aSubsetOf0(xS,szNzAzT0)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f75])).
% 24.55/3.48 fof(f366,plain,(
% 24.55/3.48 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f76])).
% 24.55/3.48 fof(f376,plain,(
% 24.55/3.48 aElementOf0(xk,szNzAzT0)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f80])).
% 24.55/3.48 fof(f377,plain,(
% 24.55/3.48 szszuzczcdt0(xk)=xK),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f80])).
% 24.55/3.48 fof(f417,plain,(
% 24.55/3.48 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 24.55/3.48 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 24.55/3.48 fof(f418,plain,(
% 24.55/3.48 aFunction0(xd)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f417])).
% 24.55/3.48 fof(f419,plain,(
% 24.55/3.48 szDzozmdt0(xd)=szNzAzT0),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f417])).
% 24.55/3.48 fof(f433,plain,(
% 24.55/3.48 aSubsetOf0(xO,xS)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f98])).
% 24.55/3.48 fof(f434,plain,(
% 24.55/3.48 aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f99])).
% 24.55/3.48 fof(f435,plain,(
% 24.55/3.48 aSubsetOf0(xQ,xO)),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f100])).
% 24.55/3.48 fof(f438,plain,(
% 24.55/3.48 ~aElementOf0(xQ,szDzozmdt0(xc))),
% 24.55/3.48 inference(cnf_transformation,[status(esa)],[f103])).
% 24.55/3.48 fof(f450,plain,(
% 24.55/3.48 spl0_0 <=> aSet0(szNzAzT0)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f476,plain,(
% 24.55/3.48 spl0_6 <=> aFunction0(xd)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f478,plain,(
% 24.55/3.48 ~aFunction0(xd)|spl0_6),
% 24.55/3.48 inference(component_clause,[status(thm)],[f476])).
% 24.55/3.48 fof(f479,plain,(
% 24.55/3.48 ~aFunction0(xd)|aSet0(szNzAzT0)),
% 24.55/3.48 inference(paramodulation,[status(thm)],[f419,f313])).
% 24.55/3.48 fof(f480,plain,(
% 24.55/3.48 ~spl0_6|spl0_0),
% 24.55/3.48 inference(split_clause,[status(thm)],[f479,f476,f450])).
% 24.55/3.48 fof(f481,plain,(
% 24.55/3.48 $false|spl0_6),
% 24.55/3.48 inference(forward_subsumption_resolution,[status(thm)],[f478,f418])).
% 24.55/3.48 fof(f482,plain,(
% 24.55/3.48 spl0_6),
% 24.55/3.48 inference(contradiction_clause,[status(thm)],[f481])).
% 24.55/3.48 fof(f489,plain,(
% 24.55/3.48 spl0_8 <=> aElementOf0(xk,szNzAzT0)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f491,plain,(
% 24.55/3.48 ~aElementOf0(xk,szNzAzT0)|spl0_8),
% 24.55/3.48 inference(component_clause,[status(thm)],[f489])).
% 24.55/3.48 fof(f497,plain,(
% 24.55/3.48 $false|spl0_8),
% 24.55/3.48 inference(forward_subsumption_resolution,[status(thm)],[f491,f376])).
% 24.55/3.48 fof(f498,plain,(
% 24.55/3.48 spl0_8),
% 24.55/3.48 inference(contradiction_clause,[status(thm)],[f497])).
% 24.55/3.48 fof(f499,plain,(
% 24.55/3.48 spl0_10 <=> aSet0(xS)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f525,plain,(
% 24.55/3.48 spl0_16 <=> aSet0(xO)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f607,plain,(
% 24.55/3.48 ~aSet0(xS)|aSet0(xO)),
% 24.55/3.48 inference(resolution,[status(thm)],[f132,f433])).
% 24.55/3.48 fof(f608,plain,(
% 24.55/3.48 ~spl0_10|spl0_16),
% 24.55/3.48 inference(split_clause,[status(thm)],[f607,f499,f525])).
% 24.55/3.48 fof(f609,plain,(
% 24.55/3.48 ~aSet0(szNzAzT0)|aSet0(xS)),
% 24.55/3.48 inference(resolution,[status(thm)],[f132,f363])).
% 24.55/3.48 fof(f610,plain,(
% 24.55/3.48 ~spl0_0|spl0_10),
% 24.55/3.48 inference(split_clause,[status(thm)],[f609,f450,f499])).
% 24.55/3.48 fof(f656,plain,(
% 24.55/3.48 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 24.55/3.48 inference(forward_subsumption_resolution,[status(thm)],[f143,f132])).
% 24.55/3.48 fof(f679,plain,(
% 24.55/3.48 spl0_37 <=> ~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f680,plain,(
% 24.55/3.48 ![X0]: (~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0)|~spl0_37)),
% 24.55/3.48 inference(component_clause,[status(thm)],[f679])).
% 24.55/3.48 fof(f682,plain,(
% 24.55/3.48 ![X0]: (~aSet0(xO)|~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0))),
% 24.55/3.48 inference(resolution,[status(thm)],[f656,f435])).
% 24.55/3.48 fof(f683,plain,(
% 24.55/3.48 ~spl0_16|spl0_37),
% 24.55/3.48 inference(split_clause,[status(thm)],[f682,f525,f679])).
% 24.55/3.48 fof(f684,plain,(
% 24.55/3.48 spl0_38 <=> aSubsetOf0(xQ,xS)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f687,plain,(
% 24.55/3.48 ~aSet0(xS)|aSubsetOf0(xQ,xS)|~spl0_37),
% 24.55/3.48 inference(resolution,[status(thm)],[f680,f433])).
% 24.55/3.48 fof(f688,plain,(
% 24.55/3.48 ~spl0_10|spl0_38|~spl0_37),
% 24.55/3.48 inference(split_clause,[status(thm)],[f687,f499,f684,f679])).
% 24.55/3.48 fof(f3282,plain,(
% 24.55/3.48 spl0_333 <=> aElementOf0(xK,szNzAzT0)),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f3285,plain,(
% 24.55/3.48 ~aElementOf0(xk,szNzAzT0)|aElementOf0(xK,szNzAzT0)),
% 24.55/3.48 inference(paramodulation,[status(thm)],[f377,f184])).
% 24.55/3.48 fof(f3286,plain,(
% 24.55/3.48 ~spl0_8|spl0_333),
% 24.55/3.48 inference(split_clause,[status(thm)],[f3285,f489,f3282])).
% 24.55/3.48 fof(f8335,plain,(
% 24.55/3.48 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 24.55/3.48 inference(equality_resolution,[status(esa)],[f291])).
% 24.55/3.48 fof(f8342,plain,(
% 24.55/3.48 spl0_917 <=> aElementOf0(X0,szDzozmdt0(xc))|~aSubsetOf0(X0,xS)|~sbrdtbr0(X0)=xK),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f8343,plain,(
% 24.55/3.48 ![X0]: (aElementOf0(X0,szDzozmdt0(xc))|~aSubsetOf0(X0,xS)|~sbrdtbr0(X0)=xK|~spl0_917)),
% 24.55/3.48 inference(component_clause,[status(thm)],[f8342])).
% 24.55/3.48 fof(f8345,plain,(
% 24.55/3.48 ![X0]: (~aSet0(xS)|~aElementOf0(xK,szNzAzT0)|aElementOf0(X0,szDzozmdt0(xc))|~aSubsetOf0(X0,xS)|~sbrdtbr0(X0)=xK)),
% 24.55/3.48 inference(resolution,[status(thm)],[f292,f366])).
% 24.55/3.48 fof(f8346,plain,(
% 24.55/3.48 ~spl0_10|~spl0_333|spl0_917),
% 24.55/3.48 inference(split_clause,[status(thm)],[f8345,f499,f3282,f8342])).
% 24.55/3.48 fof(f9820,plain,(
% 24.55/3.48 spl0_1067 <=> sbrdtbr0(xQ)=xK),
% 24.55/3.48 introduced(split_symbol_definition)).
% 24.55/3.48 fof(f9821,plain,(
% 24.55/3.48 sbrdtbr0(xQ)=xK|~spl0_1067),
% 24.55/3.48 inference(component_clause,[status(thm)],[f9820])).
% 24.55/3.48 fof(f9823,plain,(
% 24.55/3.48 ~aSet0(xO)|~aElementOf0(xK,szNzAzT0)|sbrdtbr0(xQ)=xK),
% 24.55/3.48 inference(resolution,[status(thm)],[f8335,f434])).
% 24.55/3.48 fof(f9824,plain,(
% 24.55/3.48 ~spl0_16|~spl0_333|spl0_1067),
% 24.55/3.48 inference(split_clause,[status(thm)],[f9823,f525,f3282,f9820])).
% 24.55/3.48 fof(f9836,plain,(
% 24.72/3.50 spl0_1069 <=> aElementOf0(xQ,szDzozmdt0(xc))),
% 24.72/3.50 introduced(split_symbol_definition)).
% 24.72/3.50 fof(f9837,plain,(
% 24.72/3.50 aElementOf0(xQ,szDzozmdt0(xc))|~spl0_1069),
% 24.72/3.50 inference(component_clause,[status(thm)],[f9836])).
% 24.72/3.50 fof(f9839,plain,(
% 24.72/3.50 aElementOf0(xQ,szDzozmdt0(xc))|~aSubsetOf0(xQ,xS)|~spl0_1067|~spl0_917),
% 24.72/3.50 inference(resolution,[status(thm)],[f9821,f8343])).
% 24.72/3.50 fof(f9840,plain,(
% 24.72/3.50 spl0_1069|~spl0_38|~spl0_1067|~spl0_917),
% 24.72/3.50 inference(split_clause,[status(thm)],[f9839,f9836,f684,f9820,f8342])).
% 24.72/3.50 fof(f9892,plain,(
% 24.72/3.50 $false|~spl0_1069),
% 24.72/3.50 inference(forward_subsumption_resolution,[status(thm)],[f9837,f438])).
% 24.72/3.50 fof(f9893,plain,(
% 24.72/3.50 ~spl0_1069),
% 24.72/3.50 inference(contradiction_clause,[status(thm)],[f9892])).
% 24.72/3.50 fof(f9894,plain,(
% 24.72/3.50 $false),
% 24.72/3.50 inference(sat_refutation,[status(thm)],[f480,f482,f498,f608,f610,f683,f688,f3286,f8346,f9824,f9840,f9893])).
% 24.72/3.50 % SZS output end CNFRefutation for theBenchmark.p
% 25.13/3.53 % Elapsed time: 3.165705 seconds
% 25.13/3.53 % CPU time: 24.857664 seconds
% 25.13/3.53 % Total memory used: 201.973 MB
% 25.13/3.53 % Net memory used: 197.033 MB
%------------------------------------------------------------------------------