TSTP Solution File: NUM610+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM610+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 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM610+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:01:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.37 % Drodi V3.5.1
% 0.19/0.38 % Refutation found
% 0.19/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.38 fof(f5,definition,(
% 0.19/0.38 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f10,definition,(
% 0.19/0.38 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f75,hypothesis,(
% 0.19/0.38 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f95,hypothesis,(
% 0.19/0.38 ( aSet0(xO)& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=> ( aElementOf0(W0,szDzozmdt0(xd))& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ))& (! [W0] :( aElementOf0(W0,xO)<=> (? [W1] :( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )))& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f99,hypothesis,(
% 0.19/0.38 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& aSubsetOf0(xQ,xO)& sbrdtbr0(xQ) = xK& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f107,hypothesis,(
% 0.19/0.38 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xQ) ))& aSubsetOf0(xP,xQ) ) ),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f108,conjecture,(
% 0.19/0.38 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xO) ))| aSubsetOf0(xP,xO) ) ),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f109,negated_conjecture,(
% 0.19/0.38 ~(( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xO) ))| aSubsetOf0(xP,xO) ) )),
% 0.19/0.38 inference(negated_conjecture,[status(cth)],[f108])).
% 0.19/0.38 fof(f120,plain,(
% 0.19/0.38 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.19/0.38 fof(f121,plain,(
% 0.19/0.38 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f120])).
% 0.19/0.38 fof(f122,plain,(
% 0.19/0.38 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f121])).
% 0.19/0.38 fof(f123,plain,(
% 0.19/0.38 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f122])).
% 0.19/0.38 fof(f124,plain,(
% 0.19/0.38 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f123])).
% 0.19/0.38 fof(f125,plain,(
% 0.19/0.38 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f123])).
% 0.19/0.38 fof(f134,plain,(
% 0.19/0.38 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.19/0.38 fof(f135,plain,(
% 0.19/0.38 ![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))))))))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f134])).
% 0.19/0.38 fof(f136,plain,(
% 0.19/0.38 ![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))))))))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f135])).
% 0.19/0.38 fof(f137,plain,(
% 0.19/0.38 ![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)))))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f136])).
% 0.19/0.38 fof(f138,plain,(
% 0.19/0.38 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f137])).
% 0.19/0.38 fof(f139,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f137])).
% 0.19/0.38 fof(f369,plain,(
% 0.19/0.38 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.19/0.38 fof(f370,plain,(
% 0.19/0.38 aSet0(xS)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.38 fof(f572,plain,(
% 0.19/0.38 (((aSet0(xO)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&(![W0]: ((~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))&(aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))))&(![W0]: ((~aElementOf0(W0,xO)|(?[W1]: (aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W1)=W0)))&(aElementOf0(W0,xO)|(![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))))))&xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f95])).
% 0.19/0.38 fof(f573,plain,(
% 0.19/0.38 (((aSet0(xO)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))))&((![W0]: (~aElementOf0(W0,xO)|(?[W1]: (aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W1)=W0))))&(![W0]: (aElementOf0(W0,xO)|(![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))))))&xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f572])).
% 0.19/0.38 fof(f574,plain,(
% 0.19/0.38 (((aSet0(xO)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))))&((![W0]: (~aElementOf0(W0,xO)|(aElementOf0(sk0_34(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sk0_34(W0))=W0)))&(![W0]: (aElementOf0(W0,xO)|(![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))))))&xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f573])).
% 0.19/0.38 fof(f575,plain,(
% 0.19/0.38 aSet0(xO)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f574])).
% 0.19/0.38 fof(f597,plain,(
% 0.19/0.38 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO))))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f99])).
% 0.19/0.38 fof(f600,plain,(
% 0.19/0.38 aSubsetOf0(xQ,xO)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f597])).
% 0.19/0.38 fof(f635,plain,(
% 0.19/0.38 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,xQ)))&aSubsetOf0(xP,xQ)),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 0.19/0.38 fof(f637,plain,(
% 0.19/0.38 aSubsetOf0(xP,xQ)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f635])).
% 0.19/0.38 fof(f638,plain,(
% 0.19/0.38 ((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xO)))&~aSubsetOf0(xP,xO))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f109])).
% 0.19/0.38 fof(f639,plain,(
% 0.19/0.38 (aElementOf0(sk0_38,xP)&~aElementOf0(sk0_38,xO))&~aSubsetOf0(xP,xO)),
% 0.19/0.38 inference(skolemization,[status(esa)],[f638])).
% 0.19/0.38 fof(f640,plain,(
% 0.19/0.38 aElementOf0(sk0_38,xP)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f639])).
% 0.19/0.38 fof(f641,plain,(
% 0.19/0.38 ~aElementOf0(sk0_38,xO)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f639])).
% 0.19/0.38 fof(f745,plain,(
% 0.19/0.38 aSet0(slcrc0)),
% 0.19/0.38 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.19/0.38 fof(f746,plain,(
% 0.19/0.38 ![X0]: (~aElementOf0(X0,slcrc0))),
% 0.19/0.38 inference(destructive_equality_resolution,[status(esa)],[f125])).
% 0.19/0.38 fof(f808,plain,(
% 0.19/0.38 spl0_0 <=> aSet0(xS)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f810,plain,(
% 0.19/0.38 ~aSet0(xS)|spl0_0),
% 0.19/0.38 inference(component_clause,[status(thm)],[f808])).
% 0.19/0.38 fof(f811,plain,(
% 0.19/0.38 spl0_1 <=> aSet0(xO)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f813,plain,(
% 0.19/0.38 ~aSet0(xO)|spl0_1),
% 0.19/0.38 inference(component_clause,[status(thm)],[f811])).
% 0.19/0.38 fof(f816,plain,(
% 0.19/0.38 spl0_2 <=> aSet0(xQ)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f819,plain,(
% 0.19/0.38 ~aSet0(xO)|aSet0(xQ)),
% 0.19/0.38 inference(resolution,[status(thm)],[f600,f138])).
% 0.19/0.40 fof(f820,plain,(
% 0.19/0.40 ~spl0_1|spl0_2),
% 0.19/0.40 inference(split_clause,[status(thm)],[f819,f811,f816])).
% 0.19/0.40 fof(f826,plain,(
% 0.19/0.40 $false|spl0_1),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f813,f575])).
% 0.19/0.40 fof(f827,plain,(
% 0.19/0.40 spl0_1),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f826])).
% 0.19/0.40 fof(f829,plain,(
% 0.19/0.40 spl0_4 <=> ~aElementOf0(X0,xP)|aElementOf0(X0,xQ)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f830,plain,(
% 0.19/0.40 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xQ)|~spl0_4)),
% 0.19/0.40 inference(component_clause,[status(thm)],[f829])).
% 0.19/0.40 fof(f832,plain,(
% 0.19/0.40 ![X0]: (~aSet0(xQ)|~aElementOf0(X0,xP)|aElementOf0(X0,xQ))),
% 0.19/0.40 inference(resolution,[status(thm)],[f139,f637])).
% 0.19/0.40 fof(f833,plain,(
% 0.19/0.40 ~spl0_2|spl0_4),
% 0.19/0.40 inference(split_clause,[status(thm)],[f832,f816,f829])).
% 0.19/0.40 fof(f834,plain,(
% 0.19/0.40 spl0_5 <=> ~aElementOf0(X0,xQ)|aElementOf0(X0,xO)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f835,plain,(
% 0.19/0.40 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xO)|~spl0_5)),
% 0.19/0.40 inference(component_clause,[status(thm)],[f834])).
% 0.19/0.40 fof(f837,plain,(
% 0.19/0.40 ![X0]: (~aSet0(xO)|~aElementOf0(X0,xQ)|aElementOf0(X0,xO))),
% 0.19/0.40 inference(resolution,[status(thm)],[f139,f600])).
% 0.19/0.40 fof(f838,plain,(
% 0.19/0.40 ~spl0_1|spl0_5),
% 0.19/0.40 inference(split_clause,[status(thm)],[f837,f811,f834])).
% 0.19/0.40 fof(f877,plain,(
% 0.19/0.40 spl0_15 <=> aSet0(slcrc0)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f879,plain,(
% 0.19/0.40 ~aSet0(slcrc0)|spl0_15),
% 0.19/0.40 inference(component_clause,[status(thm)],[f877])).
% 0.19/0.40 fof(f890,plain,(
% 0.19/0.40 spl0_18 <=> xP=slcrc0),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f891,plain,(
% 0.19/0.40 xP=slcrc0|~spl0_18),
% 0.19/0.40 inference(component_clause,[status(thm)],[f890])).
% 0.19/0.40 fof(f900,plain,(
% 0.19/0.40 $false|spl0_15),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f879,f745])).
% 0.19/0.40 fof(f901,plain,(
% 0.19/0.40 spl0_15),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f900])).
% 0.19/0.40 fof(f902,plain,(
% 0.19/0.40 $false|spl0_0),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f810,f370])).
% 0.19/0.40 fof(f903,plain,(
% 0.19/0.40 spl0_0),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f902])).
% 0.19/0.40 fof(f909,plain,(
% 0.19/0.40 aElementOf0(sk0_38,slcrc0)|~spl0_18),
% 0.19/0.40 inference(backward_demodulation,[status(thm)],[f891,f640])).
% 0.19/0.40 fof(f910,plain,(
% 0.19/0.40 $false|~spl0_18),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f909,f746])).
% 0.19/0.40 fof(f911,plain,(
% 0.19/0.40 ~spl0_18),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f910])).
% 0.19/0.40 fof(f992,plain,(
% 0.19/0.40 aElementOf0(sk0_38,xQ)|~spl0_4),
% 0.19/0.40 inference(resolution,[status(thm)],[f640,f830])).
% 0.19/0.40 fof(f995,plain,(
% 0.19/0.40 aElementOf0(sk0_38,xO)|~spl0_4|~spl0_5),
% 0.19/0.40 inference(resolution,[status(thm)],[f992,f835])).
% 0.19/0.40 fof(f1000,plain,(
% 0.19/0.40 $false|~spl0_4|~spl0_5),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f641,f995])).
% 0.19/0.40 fof(f1001,plain,(
% 0.19/0.40 ~spl0_4|~spl0_5),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1000])).
% 0.19/0.40 fof(f1002,plain,(
% 0.19/0.40 $false),
% 0.19/0.40 inference(sat_refutation,[status(thm)],[f820,f827,f833,f838,f901,f903,f911,f1001])).
% 0.19/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 % Elapsed time: 0.050069 seconds
% 0.19/0.40 % CPU time: 0.081677 seconds
% 0.19/0.40 % Memory used: 21.093 MB
%------------------------------------------------------------------------------