TSTP Solution File: NUM603+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM603+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 : Tue Apr 30 20:35:18 EDT 2024
% Result : Theorem 8.74s 1.48s
% Output : CNFRefutation 8.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM603+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 : Mon Apr 29 20:27:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 8.74/1.48 % Refutation found
% 8.74/1.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.74/1.48 % SZS output start CNFRefutation for theBenchmark
% 8.74/1.48 fof(f24,axiom,(
% 8.74/1.48 aElementOf0(sz00,szNzAzT0) ),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f30,axiom,(
% 8.74/1.48 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f81,hypothesis,(
% 8.74/1.48 ( 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))) ) ) ) )) ),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f83,hypothesis,(
% 8.74/1.48 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W1,W0)=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) )),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f99,hypothesis,(
% 8.74/1.48 ( aElementOf0(xi,szNzAzT0)& sdtlpdtrp0(xe,xi) = xx ) ),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f100,conjecture,(
% 8.74/1.48 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
% 8.74/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.74/1.48 fof(f101,negated_conjecture,(
% 8.74/1.48 ~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS) )),
% 8.74/1.48 inference(negated_conjecture,[status(cth)],[f100])).
% 8.74/1.48 fof(f180,plain,(
% 8.74/1.48 aElementOf0(sz00,szNzAzT0)),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f24])).
% 8.74/1.48 fof(f194,plain,(
% 8.74/1.48 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 8.74/1.48 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 8.74/1.48 fof(f195,plain,(
% 8.74/1.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f194])).
% 8.74/1.48 fof(f376,plain,(
% 8.74/1.48 ((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)))))))),
% 8.74/1.48 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 8.74/1.48 fof(f379,plain,(
% 8.74/1.48 sdtlpdtrp0(xN,sz00)=xS),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f376])).
% 8.74/1.48 fof(f385,plain,(
% 8.74/1.48 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(W1,W0)|aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))))),
% 8.74/1.48 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 8.74/1.48 fof(f386,plain,(
% 8.74/1.48 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X1,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)))),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f385])).
% 8.74/1.48 fof(f432,plain,(
% 8.74/1.48 aElementOf0(xi,szNzAzT0)),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f99])).
% 8.74/1.48 fof(f434,plain,(
% 8.74/1.48 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),
% 8.74/1.48 inference(cnf_transformation,[status(esa)],[f101])).
% 8.74/1.48 fof(f494,plain,(
% 8.74/1.48 spl0_10 <=> aElementOf0(sz00,szNzAzT0)),
% 8.74/1.48 introduced(split_symbol_definition)).
% 8.74/1.48 fof(f496,plain,(
% 8.74/1.48 ~aElementOf0(sz00,szNzAzT0)|spl0_10),
% 8.74/1.48 inference(component_clause,[status(thm)],[f494])).
% 8.74/1.48 fof(f518,plain,(
% 8.74/1.48 $false|spl0_10),
% 8.74/1.48 inference(forward_subsumption_resolution,[status(thm)],[f180,f496])).
% 8.74/1.48 fof(f519,plain,(
% 8.74/1.48 spl0_10),
% 8.74/1.48 inference(contradiction_clause,[status(thm)],[f518])).
% 8.74/1.48 fof(f1323,plain,(
% 8.74/1.48 spl0_108 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS)),
% 8.74/1.48 introduced(split_symbol_definition)).
% 8.74/1.48 fof(f1324,plain,(
% 8.74/1.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS)|~spl0_108)),
% 8.74/1.48 inference(component_clause,[status(thm)],[f1323])).
% 8.74/1.48 fof(f1326,plain,(
% 8.74/1.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(sdtlpdtrp0(xN,X0),xS))),
% 8.74/1.48 inference(paramodulation,[status(thm)],[f379,f386])).
% 8.74/1.48 fof(f1327,plain,(
% 8.74/1.48 spl0_108|~spl0_10),
% 8.74/1.48 inference(split_clause,[status(thm)],[f1326,f1323,f494])).
% 8.74/1.48 fof(f1360,plain,(
% 8.74/1.48 spl0_114 <=> aElementOf0(xi,szNzAzT0)),
% 8.74/1.48 introduced(split_symbol_definition)).
% 8.74/1.48 fof(f1362,plain,(
% 8.74/1.48 ~aElementOf0(xi,szNzAzT0)|spl0_114),
% 8.74/1.48 inference(component_clause,[status(thm)],[f1360])).
% 8.74/1.48 fof(f1363,plain,(
% 8.74/1.48 spl0_115 <=> sdtlseqdt0(sz00,xi)),
% 8.74/1.48 introduced(split_symbol_definition)).
% 8.74/1.48 fof(f1365,plain,(
% 8.74/1.48 ~sdtlseqdt0(sz00,xi)|spl0_115),
% 8.74/1.48 inference(component_clause,[status(thm)],[f1363])).
% 8.74/1.48 fof(f1366,plain,(
% 8.74/1.48 ~aElementOf0(xi,szNzAzT0)|~sdtlseqdt0(sz00,xi)|~spl0_108),
% 8.74/1.48 inference(resolution,[status(thm)],[f1324,f434])).
% 8.74/1.48 fof(f1367,plain,(
% 8.74/1.48 ~spl0_114|~spl0_115|~spl0_108),
% 8.74/1.48 inference(split_clause,[status(thm)],[f1366,f1360,f1363,f1323])).
% 8.74/1.48 fof(f1390,plain,(
% 8.74/1.48 $false|spl0_114),
% 8.74/1.48 inference(forward_subsumption_resolution,[status(thm)],[f1362,f432])).
% 8.74/1.48 fof(f1391,plain,(
% 8.74/1.48 spl0_114),
% 8.74/1.48 inference(contradiction_clause,[status(thm)],[f1390])).
% 8.74/1.48 fof(f5098,plain,(
% 8.74/1.48 sdtlseqdt0(sz00,xi)),
% 8.74/1.48 inference(resolution,[status(thm)],[f195,f432])).
% 8.74/1.48 fof(f5099,plain,(
% 8.74/1.48 $false|spl0_115),
% 8.74/1.48 inference(forward_subsumption_resolution,[status(thm)],[f5098,f1365])).
% 8.74/1.48 fof(f5100,plain,(
% 8.74/1.48 spl0_115),
% 8.74/1.48 inference(contradiction_clause,[status(thm)],[f5099])).
% 8.74/1.48 fof(f5101,plain,(
% 8.74/1.48 $false),
% 8.74/1.48 inference(sat_refutation,[status(thm)],[f519,f1327,f1367,f1391,f5100])).
% 8.74/1.48 % SZS output end CNFRefutation for theBenchmark.p
% 8.89/1.51 % Elapsed time: 1.146121 seconds
% 8.89/1.51 % CPU time: 8.945077 seconds
% 8.89/1.51 % Total memory used: 129.460 MB
% 8.89/1.51 % Net memory used: 126.440 MB
%------------------------------------------------------------------------------