TSTP Solution File: NUM590+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:29:50 EDT 2023
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:53:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f82,hypothesis,(
% 0.19/0.41 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSet0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f90,hypothesis,(
% 0.19/0.41 aElementOf0(xi,szNzAzT0) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f91,hypothesis,(
% 0.19/0.41 ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aSet0(xY)& (! [W0] :( aElementOf0(W0,xY)<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xi))& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ))& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))& xd = sdtlpdtrp0(xC,xi) ) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f92,conjecture,(
% 0.19/0.41 ( (! [W0] :( aElementOf0(W0,xY)=> aElementOf0(W0,szNzAzT0) ))| aSubsetOf0(xY,szNzAzT0) ) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f93,negated_conjecture,(
% 0.19/0.41 ~(( (! [W0] :( aElementOf0(W0,xY)=> aElementOf0(W0,szNzAzT0) ))| aSubsetOf0(xY,szNzAzT0) ) )),
% 0.19/0.41 inference(negated_conjecture,[status(cth)],[f92])).
% 0.19/0.41 fof(f409,plain,(
% 0.19/0.41 ![W0]: (~aElementOf0(W0,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.19/0.41 fof(f411,plain,(
% 0.19/0.41 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,sdtlpdtrp0(xN,X0))|aElementOf0(X1,szNzAzT0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f409])).
% 0.19/0.41 fof(f499,plain,(
% 0.19/0.41 aElementOf0(xi,szNzAzT0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f90])).
% 0.19/0.41 fof(f500,plain,(
% 0.19/0.41 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]: (aElementOf0(W0,xY)<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 0.19/0.41 fof(f501,plain,(
% 0.19/0.41 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]: ((~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W0,xY)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 0.19/0.41 inference(NNF_transformation,[status(esa)],[f500])).
% 0.19/0.41 fof(f502,plain,(
% 0.19/0.41 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&((![W0]: (~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,xY)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f501])).
% 0.19/0.41 fof(f507,plain,(
% 0.19/0.41 ![X0]: (~aElementOf0(X0,xY)|aElementOf0(X0,sdtlpdtrp0(xN,xi)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f502])).
% 0.19/0.41 fof(f512,plain,(
% 0.19/0.41 ((?[W0]: (aElementOf0(W0,xY)&~aElementOf0(W0,szNzAzT0)))&~aSubsetOf0(xY,szNzAzT0))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 0.19/0.41 fof(f513,plain,(
% 0.19/0.41 (aElementOf0(sk0_27,xY)&~aElementOf0(sk0_27,szNzAzT0))&~aSubsetOf0(xY,szNzAzT0)),
% 0.19/0.41 inference(skolemization,[status(esa)],[f512])).
% 0.19/0.41 fof(f514,plain,(
% 0.19/0.41 aElementOf0(sk0_27,xY)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f513])).
% 0.19/0.41 fof(f515,plain,(
% 0.19/0.41 ~aElementOf0(sk0_27,szNzAzT0)),
% 0.35/0.66 inference(cnf_transformation,[status(esa)],[f513])).
% 0.35/0.66 fof(f695,plain,(
% 0.35/0.66 spl0_4 <=> aElementOf0(xi,szNzAzT0)),
% 0.35/0.66 introduced(split_symbol_definition)).
% 0.35/0.66 fof(f697,plain,(
% 0.35/0.66 ~aElementOf0(xi,szNzAzT0)|spl0_4),
% 0.35/0.66 inference(component_clause,[status(thm)],[f695])).
% 0.35/0.66 fof(f698,plain,(
% 0.35/0.66 spl0_5 <=> aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,xY)),
% 0.35/0.66 introduced(split_symbol_definition)).
% 0.35/0.66 fof(f699,plain,(
% 0.35/0.66 ![X0]: (aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,xY)|~spl0_5)),
% 0.35/0.66 inference(component_clause,[status(thm)],[f698])).
% 0.35/0.66 fof(f701,plain,(
% 0.35/0.66 ![X0]: (~aElementOf0(xi,szNzAzT0)|aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,xY))),
% 0.35/0.66 inference(resolution,[status(thm)],[f411,f507])).
% 0.35/0.66 fof(f702,plain,(
% 0.35/0.66 ~spl0_4|spl0_5),
% 0.35/0.66 inference(split_clause,[status(thm)],[f701,f695,f698])).
% 0.35/0.66 fof(f1041,plain,(
% 0.35/0.66 $false|spl0_4),
% 0.35/0.66 inference(forward_subsumption_resolution,[status(thm)],[f499,f697])).
% 0.35/0.66 fof(f1042,plain,(
% 0.35/0.66 spl0_4),
% 0.35/0.66 inference(contradiction_clause,[status(thm)],[f1041])).
% 0.35/0.66 fof(f1265,plain,(
% 0.35/0.66 aElementOf0(sk0_27,szNzAzT0)|~spl0_5),
% 0.35/0.66 inference(resolution,[status(thm)],[f699,f514])).
% 0.35/0.66 fof(f1266,plain,(
% 0.35/0.66 $false|~spl0_5),
% 0.35/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1265,f515])).
% 0.35/0.66 fof(f1267,plain,(
% 0.35/0.66 ~spl0_5),
% 0.35/0.66 inference(contradiction_clause,[status(thm)],[f1266])).
% 0.35/0.66 fof(f1268,plain,(
% 0.35/0.66 $false),
% 0.35/0.66 inference(sat_refutation,[status(thm)],[f702,f1042,f1267])).
% 0.35/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.35/0.66 % Elapsed time: 0.102625 seconds
% 0.35/0.66 % CPU time: 0.103823 seconds
% 0.35/0.66 % Memory used: 15.953 MB
%------------------------------------------------------------------------------