TSTP Solution File: NUM611+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM611+3 : 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 : Wed May 31 12:29:55 EDT 2023
% Result : Theorem 12.68s 2.02s
% Output : CNFRefutation 13.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM611+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % 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 : Tue May 30 10:03:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 12.68/2.02 % Refutation found
% 12.68/2.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.68/2.02 % SZS output start CNFRefutation for theBenchmark
% 12.68/2.02 fof(f3,axiom,(
% 12.68/2.02 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f11,axiom,(
% 12.68/2.02 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aSubsetOf0(W1,W0)=> isFinite0(W1) ) )) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f17,axiom,(
% 12.68/2.02 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) )) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f25,axiom,(
% 12.68/2.02 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f26,axiom,(
% 12.68/2.02 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f41,axiom,(
% 12.68/2.02 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f43,axiom,(
% 12.68/2.02 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aElement0(W1)=> ( ~ aElementOf0(W1,W0)=> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) )) )),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f80,hypothesis,(
% 12.68/2.02 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f99,hypothesis,(
% 12.68/2.02 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& aSubsetOf0(xQ,xO)& sbrdtbr0(xQ) = xK& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f103,hypothesis,(
% 12.68/2.02 ( aElementOf0(xp,xQ)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(xp,W0) ))& xp = szmzizndt0(xQ) ) ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f104,hypothesis,(
% 12.68/2.02 ( aSet0(xP)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(szmzizndt0(xQ),W0) ))& (! [W0] :( aElementOf0(W0,xP)<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != szmzizndt0(xQ) ) ))& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f107,hypothesis,(
% 12.68/2.02 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xQ) ))& aSubsetOf0(xP,xQ) ) ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f109,conjecture,(
% 12.68/2.02 sbrdtbr0(xP) = xk ),
% 12.68/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.68/2.02 fof(f110,negated_conjecture,(
% 12.68/2.02 ~(sbrdtbr0(xP) = xk )),
% 12.68/2.02 inference(negated_conjecture,[status(cth)],[f109])).
% 12.68/2.02 fof(f117,plain,(
% 12.68/2.02 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 12.68/2.02 fof(f118,plain,(
% 12.68/2.02 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f117])).
% 12.68/2.02 fof(f143,plain,(
% 12.68/2.02 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aSubsetOf0(W1,W0)|isFinite0(W1))))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 12.68/2.02 fof(f144,plain,(
% 12.68/2.02 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aSubsetOf0(X1,X0)|isFinite0(X1))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f143])).
% 12.68/2.02 fof(f175,plain,(
% 12.68/2.02 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|sdtpldt0(sdtmndt0(W0,W1),W1)=W0)))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 12.68/2.02 fof(f176,plain,(
% 12.68/2.02 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|sdtpldt0(sdtmndt0(X0,X1),X1)=X0)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f175])).
% 12.68/2.02 fof(f190,plain,(
% 12.68/2.02 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 12.68/2.02 fof(f191,plain,(
% 12.68/2.02 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f190])).
% 12.68/2.02 fof(f193,plain,(
% 12.68/2.02 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 12.68/2.02 fof(f194,plain,(
% 12.68/2.02 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f193])).
% 12.68/2.02 fof(f227,plain,(
% 12.68/2.02 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 12.68/2.02 fof(f228,plain,(
% 12.68/2.02 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 12.68/2.02 inference(NNF_transformation,[status(esa)],[f227])).
% 12.68/2.02 fof(f229,plain,(
% 12.68/2.02 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X0),szNzAzT0)|isFinite0(X0))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f228])).
% 12.68/2.02 fof(f230,plain,(
% 12.68/2.02 ![X0]: (~aSet0(X0)|aElementOf0(sbrdtbr0(X0),szNzAzT0)|~isFinite0(X0))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f228])).
% 12.68/2.02 fof(f235,plain,(
% 12.68/2.02 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aElement0(W1)|(aElementOf0(W1,W0)|sbrdtbr0(sdtpldt0(W0,W1))=szszuzczcdt0(sbrdtbr0(W0))))))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 12.68/2.02 fof(f236,plain,(
% 12.68/2.02 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElement0(X1)|aElementOf0(X1,X0)|sbrdtbr0(sdtpldt0(X0,X1))=szszuzczcdt0(sbrdtbr0(X0)))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f235])).
% 12.68/2.02 fof(f405,plain,(
% 12.68/2.02 aElementOf0(xk,szNzAzT0)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f80])).
% 12.68/2.02 fof(f406,plain,(
% 12.68/2.02 szszuzczcdt0(xk)=xK),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f80])).
% 12.68/2.02 fof(f598,plain,(
% 12.68/2.02 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO))))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f99])).
% 12.68/2.02 fof(f599,plain,(
% 12.68/2.02 aSet0(xQ)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f598])).
% 12.68/2.02 fof(f602,plain,(
% 12.68/2.02 sbrdtbr0(xQ)=xK),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f598])).
% 12.68/2.02 fof(f618,plain,(
% 12.68/2.02 (aElementOf0(xp,xQ)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(xp,W0))))&xp=szmzizndt0(xQ)),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f103])).
% 12.68/2.02 fof(f619,plain,(
% 12.68/2.02 aElementOf0(xp,xQ)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f618])).
% 12.68/2.02 fof(f621,plain,(
% 12.68/2.02 xp=szmzizndt0(xQ)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f618])).
% 12.68/2.02 fof(f622,plain,(
% 12.68/2.02 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: (aElementOf0(W0,xP)<=>((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 12.68/2.02 fof(f623,plain,(
% 12.68/2.02 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: ((~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))&(aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 12.68/2.02 inference(NNF_transformation,[status(esa)],[f622])).
% 12.68/2.02 fof(f624,plain,(
% 12.68/2.02 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&((![W0]: (~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ))))&(![W0]: (aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 12.68/2.02 inference(miniscoping,[status(esa)],[f623])).
% 12.68/2.02 fof(f625,plain,(
% 12.68/2.02 aSet0(xP)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f624])).
% 12.68/2.02 fof(f629,plain,(
% 12.68/2.02 ![X0]: (~aElementOf0(X0,xP)|~X0=szmzizndt0(xQ))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f624])).
% 12.68/2.02 fof(f631,plain,(
% 12.68/2.02 xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f624])).
% 12.68/2.02 fof(f636,plain,(
% 12.68/2.02 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,xQ)))&aSubsetOf0(xP,xQ)),
% 12.68/2.02 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 12.68/2.02 fof(f638,plain,(
% 12.68/2.02 aSubsetOf0(xP,xQ)),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f636])).
% 12.68/2.02 fof(f642,plain,(
% 12.68/2.02 ~sbrdtbr0(xP)=xk),
% 12.68/2.02 inference(cnf_transformation,[status(esa)],[f110])).
% 12.68/2.02 fof(f795,plain,(
% 12.68/2.02 ~aElementOf0(szmzizndt0(xQ),xP)),
% 12.68/2.02 inference(destructive_equality_resolution,[status(esa)],[f629])).
% 12.68/2.02 fof(f829,plain,(
% 12.68/2.02 spl0_5 <=> aSet0(xP)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f831,plain,(
% 12.68/2.02 ~aSet0(xP)|spl0_5),
% 12.68/2.02 inference(component_clause,[status(thm)],[f829])).
% 12.68/2.02 fof(f837,plain,(
% 12.68/2.02 $false|spl0_5),
% 12.68/2.02 inference(forward_subsumption_resolution,[status(thm)],[f831,f625])).
% 12.68/2.02 fof(f838,plain,(
% 12.68/2.02 spl0_5),
% 12.68/2.02 inference(contradiction_clause,[status(thm)],[f837])).
% 12.68/2.02 fof(f879,plain,(
% 12.68/2.02 spl0_12 <=> aSet0(xQ)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f881,plain,(
% 12.68/2.02 ~aSet0(xQ)|spl0_12),
% 12.68/2.02 inference(component_clause,[status(thm)],[f879])).
% 12.68/2.02 fof(f959,plain,(
% 12.68/2.02 $false|spl0_12),
% 12.68/2.02 inference(forward_subsumption_resolution,[status(thm)],[f599,f881])).
% 12.68/2.02 fof(f960,plain,(
% 12.68/2.02 spl0_12),
% 12.68/2.02 inference(contradiction_clause,[status(thm)],[f959])).
% 12.68/2.02 fof(f1379,plain,(
% 12.68/2.02 spl0_93 <=> aElement0(xp)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f1382,plain,(
% 12.68/2.02 ~aSet0(xQ)|aElement0(xp)),
% 12.68/2.02 inference(resolution,[status(thm)],[f619,f118])).
% 12.68/2.02 fof(f1383,plain,(
% 12.68/2.02 ~spl0_12|spl0_93),
% 12.68/2.02 inference(split_clause,[status(thm)],[f1382,f879,f1379])).
% 12.68/2.02 fof(f1384,plain,(
% 12.68/2.02 ~aElementOf0(xp,xP)),
% 12.68/2.02 inference(backward_demodulation,[status(thm)],[f621,f795])).
% 12.68/2.02 fof(f1385,plain,(
% 12.68/2.02 xP=sdtmndt0(xQ,xp)),
% 12.68/2.02 inference(backward_demodulation,[status(thm)],[f621,f631])).
% 12.68/2.02 fof(f1614,plain,(
% 12.68/2.02 spl0_131 <=> isFinite0(xQ)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f1784,plain,(
% 12.68/2.02 spl0_157 <=> isFinite0(xP)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f1787,plain,(
% 12.68/2.02 ~aSet0(xQ)|~isFinite0(xQ)|isFinite0(xP)),
% 12.68/2.02 inference(resolution,[status(thm)],[f638,f144])).
% 12.68/2.02 fof(f1788,plain,(
% 12.68/2.02 ~spl0_12|~spl0_131|spl0_157),
% 12.68/2.02 inference(split_clause,[status(thm)],[f1787,f879,f1614,f1784])).
% 12.68/2.02 fof(f1983,plain,(
% 12.68/2.02 spl0_182 <=> aElementOf0(xp,xQ)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f1985,plain,(
% 12.68/2.02 ~aElementOf0(xp,xQ)|spl0_182),
% 12.68/2.02 inference(component_clause,[status(thm)],[f1983])).
% 12.68/2.02 fof(f1995,plain,(
% 12.68/2.02 $false|spl0_182),
% 12.68/2.02 inference(forward_subsumption_resolution,[status(thm)],[f1985,f619])).
% 12.68/2.02 fof(f1996,plain,(
% 12.68/2.02 spl0_182),
% 12.68/2.02 inference(contradiction_clause,[status(thm)],[f1995])).
% 12.68/2.02 fof(f2606,plain,(
% 12.68/2.02 spl0_258 <=> sdtpldt0(xP,xp)=xQ),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f2607,plain,(
% 12.68/2.02 sdtpldt0(xP,xp)=xQ|~spl0_258),
% 12.68/2.02 inference(component_clause,[status(thm)],[f2606])).
% 12.68/2.02 fof(f2609,plain,(
% 12.68/2.02 ~aSet0(xQ)|~aElementOf0(xp,xQ)|sdtpldt0(xP,xp)=xQ),
% 12.68/2.02 inference(paramodulation,[status(thm)],[f1385,f176])).
% 12.68/2.02 fof(f2610,plain,(
% 12.68/2.02 ~spl0_12|~spl0_182|spl0_258),
% 12.68/2.02 inference(split_clause,[status(thm)],[f2609,f879,f1983,f2606])).
% 12.68/2.02 fof(f2624,plain,(
% 12.68/2.02 spl0_261 <=> aElementOf0(xp,xP)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f2625,plain,(
% 12.68/2.02 aElementOf0(xp,xP)|~spl0_261),
% 12.68/2.02 inference(component_clause,[status(thm)],[f2624])).
% 12.68/2.02 fof(f2634,plain,(
% 12.68/2.02 $false|~spl0_261),
% 12.68/2.02 inference(forward_subsumption_resolution,[status(thm)],[f2625,f1384])).
% 12.68/2.02 fof(f2635,plain,(
% 12.68/2.02 ~spl0_261),
% 12.68/2.02 inference(contradiction_clause,[status(thm)],[f2634])).
% 12.68/2.02 fof(f3164,plain,(
% 12.68/2.02 spl0_303 <=> aElementOf0(xk,szNzAzT0)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f3166,plain,(
% 12.68/2.02 ~aElementOf0(xk,szNzAzT0)|spl0_303),
% 12.68/2.02 inference(component_clause,[status(thm)],[f3164])).
% 12.68/2.02 fof(f3167,plain,(
% 12.68/2.02 spl0_304 <=> aElementOf0(xK,szNzAzT0)),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f3170,plain,(
% 12.68/2.02 ~aElementOf0(xk,szNzAzT0)|aElementOf0(xK,szNzAzT0)),
% 12.68/2.02 inference(paramodulation,[status(thm)],[f406,f191])).
% 12.68/2.02 fof(f3171,plain,(
% 12.68/2.02 ~spl0_303|spl0_304),
% 12.68/2.02 inference(split_clause,[status(thm)],[f3170,f3164,f3167])).
% 12.68/2.02 fof(f3172,plain,(
% 12.68/2.02 $false|spl0_303),
% 12.68/2.02 inference(forward_subsumption_resolution,[status(thm)],[f3166,f405])).
% 12.68/2.02 fof(f3173,plain,(
% 12.68/2.02 spl0_303),
% 12.68/2.02 inference(contradiction_clause,[status(thm)],[f3172])).
% 12.68/2.02 fof(f4309,plain,(
% 12.68/2.02 ~aSet0(xQ)|~aElementOf0(xK,szNzAzT0)|isFinite0(xQ)),
% 12.68/2.02 inference(paramodulation,[status(thm)],[f602,f229])).
% 12.68/2.02 fof(f4310,plain,(
% 12.68/2.02 ~spl0_12|~spl0_304|spl0_131),
% 12.68/2.02 inference(split_clause,[status(thm)],[f4309,f879,f3167,f1614])).
% 12.68/2.02 fof(f4331,plain,(
% 12.68/2.02 spl0_418 <=> sbrdtbr0(xQ)=szszuzczcdt0(sbrdtbr0(xP))),
% 12.68/2.02 introduced(split_symbol_definition)).
% 12.68/2.02 fof(f4332,plain,(
% 12.68/2.02 sbrdtbr0(xQ)=szszuzczcdt0(sbrdtbr0(xP))|~spl0_418),
% 12.68/2.02 inference(component_clause,[status(thm)],[f4331])).
% 12.68/2.02 fof(f4334,plain,(
% 12.68/2.02 ~aSet0(xP)|~isFinite0(xP)|~aElement0(xp)|aElementOf0(xp,xP)|sbrdtbr0(xQ)=szszuzczcdt0(sbrdtbr0(xP))|~spl0_258),
% 12.68/2.02 inference(paramodulation,[status(thm)],[f2607,f236])).
% 13.09/2.05 fof(f4335,plain,(
% 13.09/2.05 ~spl0_5|~spl0_157|~spl0_93|spl0_261|spl0_418|~spl0_258),
% 13.09/2.05 inference(split_clause,[status(thm)],[f4334,f829,f1784,f1379,f2624,f4331,f2606])).
% 13.09/2.05 fof(f4336,plain,(
% 13.09/2.05 xK=szszuzczcdt0(sbrdtbr0(xP))|~spl0_418),
% 13.09/2.05 inference(forward_demodulation,[status(thm)],[f602,f4332])).
% 13.09/2.05 fof(f4550,plain,(
% 13.09/2.05 spl0_454 <=> aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 13.09/2.05 introduced(split_symbol_definition)).
% 13.09/2.05 fof(f4552,plain,(
% 13.09/2.05 ~aElementOf0(sbrdtbr0(xP),szNzAzT0)|spl0_454),
% 13.09/2.05 inference(component_clause,[status(thm)],[f4550])).
% 13.09/2.05 fof(f4590,plain,(
% 13.09/2.05 spl0_462 <=> ~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xK|X0=sbrdtbr0(xP)),
% 13.09/2.05 introduced(split_symbol_definition)).
% 13.09/2.05 fof(f4591,plain,(
% 13.09/2.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xK|X0=sbrdtbr0(xP)|~spl0_462)),
% 13.09/2.05 inference(component_clause,[status(thm)],[f4590])).
% 13.09/2.05 fof(f4593,plain,(
% 13.09/2.05 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sbrdtbr0(xP),szNzAzT0)|~szszuzczcdt0(X0)=xK|X0=sbrdtbr0(xP)|~spl0_418)),
% 13.09/2.05 inference(paramodulation,[status(thm)],[f4336,f194])).
% 13.09/2.05 fof(f4594,plain,(
% 13.09/2.05 spl0_462|~spl0_454|~spl0_418),
% 13.09/2.05 inference(split_clause,[status(thm)],[f4593,f4590,f4550,f4331])).
% 13.09/2.05 fof(f4710,plain,(
% 13.09/2.05 ~aSet0(xP)|~isFinite0(xP)|spl0_454),
% 13.09/2.05 inference(resolution,[status(thm)],[f4552,f230])).
% 13.09/2.05 fof(f4711,plain,(
% 13.09/2.05 ~spl0_5|~spl0_157|spl0_454),
% 13.09/2.05 inference(split_clause,[status(thm)],[f4710,f829,f1784,f4550])).
% 13.09/2.05 fof(f7158,plain,(
% 13.09/2.05 spl0_722 <=> szszuzczcdt0(xk)=xK),
% 13.09/2.05 introduced(split_symbol_definition)).
% 13.09/2.05 fof(f7160,plain,(
% 13.09/2.05 ~szszuzczcdt0(xk)=xK|spl0_722),
% 13.09/2.05 inference(component_clause,[status(thm)],[f7158])).
% 13.09/2.05 fof(f7161,plain,(
% 13.09/2.05 spl0_723 <=> xk=sbrdtbr0(xP)),
% 13.09/2.05 introduced(split_symbol_definition)).
% 13.09/2.05 fof(f7162,plain,(
% 13.09/2.05 xk=sbrdtbr0(xP)|~spl0_723),
% 13.09/2.05 inference(component_clause,[status(thm)],[f7161])).
% 13.09/2.05 fof(f7164,plain,(
% 13.09/2.05 ~szszuzczcdt0(xk)=xK|xk=sbrdtbr0(xP)|~spl0_462),
% 13.09/2.05 inference(resolution,[status(thm)],[f405,f4591])).
% 13.09/2.05 fof(f7165,plain,(
% 13.09/2.05 ~spl0_722|spl0_723|~spl0_462),
% 13.09/2.05 inference(split_clause,[status(thm)],[f7164,f7158,f7161,f4590])).
% 13.09/2.05 fof(f7167,plain,(
% 13.09/2.05 $false|~spl0_723),
% 13.09/2.05 inference(forward_subsumption_resolution,[status(thm)],[f7162,f642])).
% 13.09/2.05 fof(f7168,plain,(
% 13.09/2.05 ~spl0_723),
% 13.09/2.05 inference(contradiction_clause,[status(thm)],[f7167])).
% 13.09/2.05 fof(f7285,plain,(
% 13.09/2.05 $false|spl0_722),
% 13.09/2.05 inference(forward_subsumption_resolution,[status(thm)],[f406,f7160])).
% 13.09/2.05 fof(f7286,plain,(
% 13.09/2.05 spl0_722),
% 13.09/2.05 inference(contradiction_clause,[status(thm)],[f7285])).
% 13.09/2.05 fof(f7287,plain,(
% 13.09/2.05 $false),
% 13.09/2.05 inference(sat_refutation,[status(thm)],[f838,f960,f1383,f1788,f1996,f2610,f2635,f3171,f3173,f4310,f4335,f4594,f4711,f7165,f7168,f7286])).
% 13.09/2.05 % SZS output end CNFRefutation for theBenchmark.p
% 13.09/2.05 % Elapsed time: 1.697744 seconds
% 13.09/2.05 % CPU time: 13.170400 seconds
% 13.09/2.05 % Memory used: 148.105 MB
%------------------------------------------------------------------------------