TSTP Solution File: NUM584+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:29:48 EDT 2023
% Result : Theorem 11.37s 1.86s
% Output : CNFRefutation 11.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:49:22 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 11.37/1.86 % Refutation found
% 11.37/1.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.37/1.86 % SZS output start CNFRefutation for theBenchmark
% 11.37/1.86 fof(f10,definition,(
% 11.37/1.86 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f23,axiom,(
% 11.37/1.86 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f57,definition,(
% 11.37/1.86 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f74,hypothesis,(
% 11.37/1.86 aElementOf0(xK,szNzAzT0) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f75,hypothesis,(
% 11.37/1.86 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f76,hypothesis,(
% 11.37/1.86 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f87,hypothesis,(
% 11.37/1.86 sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f88,hypothesis,(
% 11.37/1.86 aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f89,conjecture,(
% 11.37/1.86 aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
% 11.37/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.37/1.86 fof(f90,negated_conjecture,(
% 11.37/1.86 ~(aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) )),
% 11.37/1.86 inference(negated_conjecture,[status(cth)],[f89])).
% 11.37/1.86 fof(f115,plain,(
% 11.37/1.86 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 11.37/1.86 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 11.37/1.86 fof(f116,plain,(
% 11.37/1.86 ![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))))))))),
% 11.37/1.86 inference(NNF_transformation,[status(esa)],[f115])).
% 11.37/1.86 fof(f117,plain,(
% 11.37/1.86 ![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))))))))),
% 11.37/1.86 inference(miniscoping,[status(esa)],[f116])).
% 11.37/1.86 fof(f118,plain,(
% 11.37/1.86 ![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)))))))),
% 11.37/1.86 inference(skolemization,[status(esa)],[f117])).
% 11.37/1.86 fof(f119,plain,(
% 11.37/1.86 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f118])).
% 11.37/1.86 fof(f167,plain,(
% 11.37/1.86 aSet0(szNzAzT0)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f23])).
% 11.37/1.86 fof(f272,plain,(
% 11.37/1.86 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 11.37/1.86 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 11.37/1.86 fof(f273,plain,(
% 11.37/1.86 ![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)))))))))),
% 11.37/1.86 inference(NNF_transformation,[status(esa)],[f272])).
% 11.37/1.86 fof(f274,plain,(
% 11.37/1.86 ![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)))))))))),
% 11.37/1.86 inference(miniscoping,[status(esa)],[f273])).
% 11.37/1.86 fof(f275,plain,(
% 11.37/1.86 ![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))))))))),
% 11.37/1.86 inference(skolemization,[status(esa)],[f274])).
% 11.37/1.86 fof(f279,plain,(
% 11.37/1.86 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f275])).
% 11.37/1.86 fof(f349,plain,(
% 11.37/1.86 aElementOf0(xK,szNzAzT0)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f74])).
% 11.37/1.86 fof(f350,plain,(
% 11.37/1.86 aSubsetOf0(xS,szNzAzT0)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f75])).
% 11.37/1.86 fof(f353,plain,(
% 11.37/1.86 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f76])).
% 11.37/1.86 fof(f380,plain,(
% 11.37/1.86 sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f87])).
% 11.37/1.86 fof(f381,plain,(
% 11.37/1.86 aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f88])).
% 11.37/1.86 fof(f382,plain,(
% 11.37/1.86 ~aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))),
% 11.37/1.86 inference(cnf_transformation,[status(esa)],[f90])).
% 11.37/1.86 fof(f415,plain,(
% 11.37/1.86 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 11.37/1.86 inference(destructive_equality_resolution,[status(esa)],[f279])).
% 11.37/1.86 fof(f698,plain,(
% 11.37/1.86 spl0_41 <=> aSet0(xS)),
% 11.37/1.86 introduced(split_symbol_definition)).
% 11.37/1.86 fof(f700,plain,(
% 11.37/1.86 ~aSet0(xS)|spl0_41),
% 11.37/1.86 inference(component_clause,[status(thm)],[f698])).
% 11.37/1.86 fof(f793,plain,(
% 11.37/1.86 ~aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))),
% 11.37/1.86 inference(backward_demodulation,[status(thm)],[f353,f382])).
% 11.37/1.86 fof(f794,plain,(
% 11.37/1.86 spl0_58 <=> aElementOf0(xK,szNzAzT0)),
% 11.37/1.86 introduced(split_symbol_definition)).
% 11.37/1.86 fof(f796,plain,(
% 11.37/1.86 ~aElementOf0(xK,szNzAzT0)|spl0_58),
% 11.37/1.86 inference(component_clause,[status(thm)],[f794])).
% 11.37/1.86 fof(f799,plain,(
% 11.37/1.86 $false|spl0_58),
% 11.37/1.86 inference(forward_subsumption_resolution,[status(thm)],[f796,f349])).
% 11.37/1.86 fof(f800,plain,(
% 11.37/1.86 spl0_58),
% 11.37/1.86 inference(contradiction_clause,[status(thm)],[f799])).
% 11.37/1.86 fof(f876,plain,(
% 11.37/1.86 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|aSet0(X0))),
% 11.37/1.86 inference(resolution,[status(thm)],[f119,f167])).
% 11.37/1.86 fof(f1648,plain,(
% 11.37/1.86 aSet0(xS)),
% 11.37/1.86 inference(resolution,[status(thm)],[f876,f350])).
% 11.37/1.86 fof(f1649,plain,(
% 11.37/1.86 $false|spl0_41),
% 11.37/1.86 inference(forward_subsumption_resolution,[status(thm)],[f1648,f700])).
% 11.37/1.86 fof(f1650,plain,(
% 11.37/1.86 spl0_41),
% 11.37/1.86 inference(contradiction_clause,[status(thm)],[f1649])).
% 11.37/1.86 fof(f6468,plain,(
% 11.37/1.86 spl0_527 <=> ~aSet0(X0)|aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))|~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)),
% 11.37/1.86 introduced(split_symbol_definition)).
% 11.37/1.86 fof(f6469,plain,(
% 11.37/1.86 ![X0]: (~aSet0(X0)|aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))|~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)|~spl0_527)),
% 11.37/1.86 inference(component_clause,[status(thm)],[f6468])).
% 11.37/1.86 fof(f6471,plain,(
% 11.37/1.86 ![X0]: (~aSet0(X0)|~aElementOf0(xK,szNzAzT0)|aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))|~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0))),
% 11.37/1.86 inference(paramodulation,[status(thm)],[f380,f415])).
% 11.37/1.86 fof(f6472,plain,(
% 11.37/1.86 spl0_527|~spl0_58),
% 11.37/1.86 inference(split_clause,[status(thm)],[f6471,f6468,f794])).
% 11.37/1.86 fof(f6490,plain,(
% 11.37/1.86 ![X0]: (~aSet0(X0)|aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(X0,xK))|~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)|~spl0_527)),
% 11.37/1.86 inference(forward_demodulation,[status(thm)],[f380,f6469])).
% 11.37/1.86 fof(f6513,plain,(
% 11.37/1.86 spl0_534 <=> aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))),
% 11.37/1.86 introduced(split_symbol_definition)).
% 11.37/1.86 fof(f6514,plain,(
% 11.37/1.86 aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))|~spl0_534),
% 11.37/1.86 inference(component_clause,[status(thm)],[f6513])).
% 11.37/1.86 fof(f6516,plain,(
% 11.37/1.86 spl0_535 <=> aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)),
% 11.37/1.86 introduced(split_symbol_definition)).
% 11.37/1.86 fof(f6518,plain,(
% 11.37/1.86 ~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)|spl0_535),
% 11.37/1.86 inference(component_clause,[status(thm)],[f6516])).
% 11.37/1.86 fof(f6519,plain,(
% 11.37/1.86 ~aSet0(xS)|aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))|~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)|~spl0_527),
% 11.37/1.86 inference(paramodulation,[status(thm)],[f353,f6490])).
% 11.37/1.86 fof(f6520,plain,(
% 11.37/1.86 ~spl0_41|spl0_534|~spl0_535|~spl0_527),
% 11.37/1.86 inference(split_clause,[status(thm)],[f6519,f698,f6513,f6516,f6468])).
% 11.37/1.86 fof(f6521,plain,(
% 11.37/1.86 $false|spl0_535),
% 11.37/1.86 inference(forward_subsumption_resolution,[status(thm)],[f6518,f381])).
% 11.37/1.86 fof(f6522,plain,(
% 11.37/1.86 spl0_535),
% 11.37/1.86 inference(contradiction_clause,[status(thm)],[f6521])).
% 11.37/1.86 fof(f6523,plain,(
% 11.37/1.86 $false|~spl0_534),
% 11.37/1.86 inference(forward_subsumption_resolution,[status(thm)],[f6514,f793])).
% 11.37/1.86 fof(f6524,plain,(
% 11.37/1.86 ~spl0_534),
% 11.37/1.86 inference(contradiction_clause,[status(thm)],[f6523])).
% 11.37/1.86 fof(f6525,plain,(
% 11.37/1.86 $false),
% 11.37/1.86 inference(sat_refutation,[status(thm)],[f800,f1650,f6472,f6520,f6522,f6524])).
% 11.37/1.86 % SZS output end CNFRefutation for theBenchmark.p
% 11.37/1.89 % Elapsed time: 1.583900 seconds
% 11.37/1.89 % CPU time: 11.960983 seconds
% 11.37/1.89 % Memory used: 135.893 MB
%------------------------------------------------------------------------------