TSTP Solution File: NUM633+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:30:01 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 09:19:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f94,hypothesis,(
% 0.13/0.36 ( aElementOf0(szDzizrdt0(xd),xT)& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f96,hypothesis,(
% 0.13/0.36 ( aSet0(xO)& isCountable0(xO) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f98,hypothesis,(
% 0.13/0.36 aSubsetOf0(xO,xS) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f99,conjecture,(
% 0.13/0.36 ( (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xO,xK))=> ( W0 != slcrc0& aSubsetOf0(W0,szNzAzT0)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f100,negated_conjecture,(
% 0.13/0.36 ~(( (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xO,xK))=> ( W0 != slcrc0& aSubsetOf0(W0,szNzAzT0)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f99])).
% 0.13/0.36 fof(f419,plain,(
% 0.13/0.36 aElementOf0(szDzizrdt0(xd),xT)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f94])).
% 0.13/0.36 fof(f424,plain,(
% 0.13/0.36 isCountable0(xO)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f96])).
% 0.13/0.36 fof(f430,plain,(
% 0.13/0.36 aSubsetOf0(xO,xS)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f98])).
% 0.13/0.36 fof(f431,plain,(
% 0.13/0.36 ((![W0]: (~aElementOf0(W0,slbdtsldtrb0(xO,xK))|(((~W0=slcrc0&aSubsetOf0(W0,szNzAzT0))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(?[W2]: (aElementOf0(W2,slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,W2)=W0)))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f432,plain,(
% 0.13/0.36 (![W0]: (~aElementOf0(W0,slbdtsldtrb0(xO,xK))|(((~W0=slcrc0&aSubsetOf0(W0,szNzAzT0))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(aElementOf0(sk0_25(W1,W0),slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,sk0_25(W1,W0))=W0)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f431])).
% 0.13/0.36 fof(f436,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xO,xK))|sdtlpdtrp0(xc,X0)=szDzizrdt0(xd))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f432])).
% 0.13/0.36 fof(f437,plain,(
% 0.13/0.36 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|aElementOf0(sk0_25(X1,X0),slbdtsldtrb0(X1,xK)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f432])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|~sdtlpdtrp0(xc,sk0_25(X1,X0))=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f432])).
% 0.13/0.36 fof(f487,plain,(
% 0.13/0.36 spl0_0 <=> ~aElementOf0(X0,xT)|sdtlpdtrp0(xc,sk0_25(xO,X0))=szDzizrdt0(xd)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f488,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,xT)|sdtlpdtrp0(xc,sk0_25(xO,X0))=szDzizrdt0(xd)|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f487])).
% 0.13/0.36 fof(f490,plain,(
% 0.13/0.36 spl0_1 <=> aSubsetOf0(xO,xS)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f492,plain,(
% 0.13/0.36 ~aSubsetOf0(xO,xS)|spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f490])).
% 0.13/0.36 fof(f493,plain,(
% 0.13/0.36 spl0_2 <=> isCountable0(xO)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f495,plain,(
% 0.13/0.36 ~isCountable0(xO)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f493])).
% 0.13/0.36 fof(f496,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,xT)|~aSubsetOf0(xO,xS)|~isCountable0(xO)|sdtlpdtrp0(xc,sk0_25(xO,X0))=szDzizrdt0(xd))),
% 0.13/0.36 inference(resolution,[status(thm)],[f437,f436])).
% 0.13/0.36 fof(f497,plain,(
% 0.13/0.36 spl0_0|~spl0_1|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f496,f487,f490,f493])).
% 0.13/0.36 fof(f601,plain,(
% 0.13/0.36 $false|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f495,f424])).
% 0.13/0.36 fof(f602,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f601])).
% 0.13/0.36 fof(f603,plain,(
% 0.13/0.38 $false|spl0_1),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f430,f492])).
% 0.13/0.38 fof(f604,plain,(
% 0.13/0.38 spl0_1),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f603])).
% 0.13/0.38 fof(f605,plain,(
% 0.13/0.38 spl0_24 <=> aElementOf0(szDzizrdt0(xd),xT)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f607,plain,(
% 0.13/0.38 ~aElementOf0(szDzizrdt0(xd),xT)|spl0_24),
% 0.13/0.38 inference(component_clause,[status(thm)],[f605])).
% 0.13/0.38 fof(f608,plain,(
% 0.13/0.38 ~aElementOf0(szDzizrdt0(xd),xT)|~aElementOf0(szDzizrdt0(xd),xT)|~aSubsetOf0(xO,xS)|~isCountable0(xO)|~spl0_0),
% 0.13/0.38 inference(resolution,[status(thm)],[f488,f438])).
% 0.13/0.38 fof(f609,plain,(
% 0.13/0.38 ~spl0_24|~spl0_1|~spl0_2|~spl0_0),
% 0.13/0.38 inference(split_clause,[status(thm)],[f608,f605,f490,f493,f487])).
% 0.13/0.38 fof(f618,plain,(
% 0.13/0.38 $false|spl0_24),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f419,f607])).
% 0.13/0.38 fof(f619,plain,(
% 0.13/0.38 spl0_24),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f618])).
% 0.13/0.38 fof(f620,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f497,f602,f604,f609,f619])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.032941 seconds
% 0.13/0.38 % CPU time: 0.053962 seconds
% 0.13/0.38 % Memory used: 16.399 MB
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