0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : drodi -timeout(180) /export/starexec/sandbox2/benchmark/theBenchmark.p
0.11/0.35	% Computer : n017.cluster.edu
0.11/0.35	% Model    : x86_64 x86_64
0.11/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.35	% Memory   : 8046.5625MB
0.11/0.35	% OS       : Linux 6.8.0-71-generic
0.11/0.35	% CPULimit : 1440
0.11/0.35	% WCLimit  : 180
0.11/0.35	% DateTime : Mon Jul 27 09:23:07 UTC 2026
0.11/0.35	% CPUTime  : 
117.98/118.22	% Drodi V4.1.1
118.12/118.53	% Refutation found
118.12/118.53	% SZS status Theorem for theBenchmark: Theorem is valid
118.12/118.53	% SZS output start CNFRefutation for theBenchmark
118.12/118.53	fof(f968,conjecture,(
118.12/118.53	  (! [V0__K] :( (! [V1__g] :( (! [V2__n] :( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(V2__n)=> ( cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(V2__n,V1__g)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,V1__g))<= cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,V2__n) = cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(V0__K),V1__g)) ) ))<= cColor_2egraph___24t(V1__g) ))<= cCoq_2eInit_2eDatatypes_2enat___24t(V0__K) ) )),
118.12/118.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
118.12/118.53	fof(f969,negated_conjecture,(
118.12/118.53	  ~((! [V0__K] :( (! [V1__g] :( (! [V2__n] :( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(V2__n)=> ( cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(V2__n,V1__g)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,V1__g))<= cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,V2__n) = cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(V0__K),V1__g)) ) ))<= cColor_2egraph___24t(V1__g) ))<= cCoq_2eInit_2eDatatypes_2enat___24t(V0__K) ) ))),
118.12/118.53	  inference(negated_conjecture,[status(cth)],[f968])).
118.12/118.53	fof(f2734,axiom,(
118.12/118.53	  (! [V0__K] :( (! [V1__g] :( cColor_2egraph___24t(V1__g)=> (! [V2__n] :( ( cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(V2__n,V1__g)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,V1__g))<= cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,V2__n) = cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(V0__K),V1__g)) )<= cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(V2__n) ) )))<= cCoq_2eInit_2eDatatypes_2enat___24t(V0__K) ) )),
118.12/118.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
118.12/118.53	fof(f6445,plain,(
118.12/118.53	  (?[V0__K]: ((?[V1__g]: ((?[V2__n]: (cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(V2__n)&(~cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(V2__n,V1__g)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,V1__g))&cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,V2__n)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(V0__K),V1__g)))))&cColor_2egraph___24t(V1__g)))&cCoq_2eInit_2eDatatypes_2enat___24t(V0__K)))),
118.12/118.53	  inference(pre_NNF_transformation,[status(thm)],[f969])).
118.12/118.53	fof(f6446,plain,(
118.12/118.53	  (((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(sK566_skl)&(~cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(sK566_skl,sK565_skl)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,sK565_skl))&cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(sK564_skl),sK565_skl))))&cColor_2egraph___24t(sK565_skl))&cCoq_2eInit_2eDatatypes_2enat___24t(sK564_skl))),
118.12/118.53	  inference(skolemize,[status(esa),new_symbols(skolem,[sK564_skl,sK565_skl,sK566_skl]),skolemize(V0__K,sK564_skl),skolemize(V1__g,sK565_skl),skolemize(V2__n,sK566_skl)],[f6445])).
118.12/118.53	fof(f6447,plain,(
118.12/118.53	  cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(sK566_skl)),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f6446])).
118.12/118.53	fof(f6448,plain,(
118.12/118.53	  ~cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(sK566_skl,sK565_skl)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,sK565_skl))),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f6446])).
118.12/118.53	fof(f6449,plain,(
118.12/118.53	  cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(sK564_skl),sK565_skl))),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f6446])).
118.12/118.53	fof(f6450,plain,(
118.12/118.53	  cColor_2egraph___24t(sK565_skl)),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f6446])).
118.12/118.53	fof(f6451,plain,(
118.12/118.53	  cCoq_2eInit_2eDatatypes_2enat___24t(sK564_skl)),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f6446])).
118.12/118.53	fof(f12712,plain,(
118.12/118.53	  ![V0__K]: ((![V1__g]: (~cColor_2egraph___24t(V1__g)|(![V2__n]: ((cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(V2__n,V1__g)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,V1__g))|~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,V2__n)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(V0__K),V1__g)))|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(V2__n)))))|~cCoq_2eInit_2eDatatypes_2enat___24t(V0__K))),
118.12/118.53	  inference(pre_NNF_transformation,[status(thm)],[f2734])).
118.12/118.53	fof(f12713,plain,(
118.12/118.53	  ![X0,X1,X2]: (~cColor_2egraph___24t(X0)|cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X1,X0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X0))|~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X1)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X2),X0))|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2))),
118.12/118.53	  inference(cnf_transformation,[status(thm)],[f12712])).
118.12/118.53	fof(f23263,plain,(
118.12/118.53	  ![X0]: (~cColor_2egraph___24t(sK565_skl)|~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X0),sK565_skl))|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(sK566_skl)|~cCoq_2eInit_2eDatatypes_2enat___24t(X0))),
118.12/118.53	  inference(resolution,[status(thm)],[f12713,f6448])).
118.12/118.53	fof(f23264,plain,(
118.12/118.53	  ![X0]: (~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X0),sK565_skl))|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(sK566_skl)|~cCoq_2eInit_2eDatatypes_2enat___24t(X0))),
118.12/118.53	  inference(forward_subsumption_resolution,[status(thm)],[f23263,f6450])).
118.12/118.53	fof(f23265,plain,(
118.12/118.53	  ![X0]: (~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X0),sK565_skl))|~cCoq_2eInit_2eDatatypes_2enat___24t(X0))),
118.12/118.53	  inference(forward_subsumption_resolution,[status(thm)],[f23264,f6447])).
118.12/118.53	fof(f23266,plain,(
118.12/118.53	  ~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(sK564_skl),sK565_skl))),
118.12/118.53	  inference(resolution,[status(thm)],[f23265,f6451])).
118.12/118.53	fof(f23267,plain,(
118.12/118.53	  ~cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,sK566_skl)),
118.12/118.53	  inference(forward_demodulation,[status(thm)],[f6449,f23266])).
118.12/118.53	fof(f23268,plain,(
118.12/118.60	  $false),
118.12/118.60	  inference(trivial_equality_resolution,[status(thm)],[f23267])).
118.12/118.60	% SZS output end CNFRefutation for theBenchmark.p
118.14/118.70	% Elapsed time: 118.313567 seconds
118.14/118.70	% CPU time: 120.219336 seconds
118.14/118.70	% Total memory used: 6.484 GB
118.14/118.70	% Net memory used: 6.476 GB
118.14/118.72	EOF