TSTP Solution File: NUM582+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 09:57:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f24,axiom,(
% 0.13/0.37 aElementOf0(sz00,szNzAzT0) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f30,axiom,(
% 0.13/0.37 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f81,hypothesis,(
% 0.13/0.37 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f83,hypothesis,(
% 0.13/0.37 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f85,hypothesis,(
% 0.13/0.37 aElementOf0(xi,szNzAzT0) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f88,conjecture,(
% 0.13/0.37 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f89,negated_conjecture,(
% 0.13/0.37 ~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS) )),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f88])).
% 0.13/0.37 fof(f168,plain,(
% 0.13/0.37 aElementOf0(sz00,szNzAzT0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.13/0.37 fof(f183,plain,(
% 0.13/0.37 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f182])).
% 0.13/0.37 fof(f364,plain,(
% 0.13/0.37 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 0.13/0.37 fof(f367,plain,(
% 0.13/0.37 sdtlpdtrp0(xN,sz00)=xS),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f364])).
% 0.13/0.37 fof(f373,plain,(
% 0.13/0.37 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.13/0.37 fof(f374,plain,(
% 0.13/0.37 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f373])).
% 0.13/0.37 fof(f377,plain,(
% 0.13/0.37 aElementOf0(xi,szNzAzT0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.37 fof(f380,plain,(
% 0.13/0.37 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f89])).
% 0.13/0.37 fof(f428,plain,(
% 0.13/0.37 spl0_0 <=> aElementOf0(sz00,szNzAzT0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f430,plain,(
% 0.13/0.37 ~aElementOf0(sz00,szNzAzT0)|spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f428])).
% 0.13/0.37 fof(f495,plain,(
% 0.13/0.37 $false|spl0_0),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f430,f168])).
% 0.13/0.37 fof(f496,plain,(
% 0.13/0.37 spl0_0),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f495])).
% 0.13/0.37 fof(f908,plain,(
% 0.13/0.37 spl0_55 <=> ~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,sz00))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f909,plain,(
% 0.13/0.37 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,sz00))|~spl0_55)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f908])).
% 0.13/0.37 fof(f911,plain,(
% 0.13/0.37 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,sz00)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f183,f374])).
% 0.13/0.37 fof(f912,plain,(
% 0.13/0.37 spl0_55|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f911,f908,f428])).
% 0.13/0.37 fof(f913,plain,(
% 0.13/0.37 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS)|~spl0_55)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f367,f909])).
% 0.13/0.38 fof(f914,plain,(
% 0.13/0.38 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS)|~spl0_55)),
% 0.13/0.38 inference(duplicate_literals_removal,[status(esa)],[f913])).
% 0.13/0.38 fof(f990,plain,(
% 0.13/0.38 ~aElementOf0(xi,szNzAzT0)|~spl0_55),
% 0.13/0.38 inference(resolution,[status(thm)],[f914,f380])).
% 0.13/0.38 fof(f991,plain,(
% 0.13/0.38 $false|~spl0_55),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f990,f377])).
% 0.13/0.38 fof(f992,plain,(
% 0.13/0.38 ~spl0_55),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f991])).
% 0.13/0.38 fof(f993,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f496,f912,f992])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.039000 seconds
% 0.13/0.39 % CPU time: 0.114367 seconds
% 0.13/0.39 % Memory used: 20.325 MB
%------------------------------------------------------------------------------