0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : drodi -timeout(180) /export/starexec/sandbox2/benchmark/theBenchmark.p
0.07/0.34	% Computer : n024.cluster.edu
0.07/0.34	% Model    : x86_64 x86_64
0.07/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.34	% Memory   : 8046.5625MB
0.07/0.34	% OS       : Linux 6.8.0-71-generic
0.07/0.35	% CPULimit : 1440
0.07/0.35	% WCLimit  : 180
0.07/0.35	% DateTime : Mon Jul 27 04:45:45 UTC 2026
0.07/0.35	% CPUTime  : 
133.86/134.16	% Drodi V4.1.1
134.03/134.31	% Refutation found
134.03/134.31	% SZS status Theorem for theBenchmark: Theorem is valid
134.03/134.31	% SZS output start CNFRefutation for theBenchmark
134.03/134.31	fof(f537,axiom,(
134.03/134.31	  ~ p(c_24False) ),
134.03/134.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
134.03/134.31	fof(f1602,axiom,(
134.03/134.31	  cCoq_2eNumbers_2eBinNums_2epositive___24t(cCoq_2eNumbers_2eBinNums_2exH) ),
134.03/134.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
134.03/134.31	fof(f1815,axiom,(
134.03/134.31	  ( (! [V0__x] :( cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)=> ( cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))=> cUseAuto_2eP___24a1(V0__x) ) ))<=> p(cUseAuto_2emyFact) ) ),
134.03/134.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
134.03/134.31	fof(f2601,axiom,(
134.03/134.31	  cType___24t(cCoq_2eInit_2eByte_2ebyte) ),
134.03/134.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
134.03/134.31	fof(f2849,conjecture,(
134.03/134.31	  ( p(cUseAuto_2emyFact)<= (! [V0__x] :( cUseAuto_2eP___24a1(V0__x)<= cCoq_2eInit_2eDatatypes_2enat___24t(V0__x) ) )) ),
134.03/134.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
134.03/134.31	fof(f2850,negated_conjecture,(
134.03/134.31	  ~(( p(cUseAuto_2emyFact)<= (! [V0__x] :( cUseAuto_2eP___24a1(V0__x)<= cCoq_2eInit_2eDatatypes_2enat___24t(V0__x) ) )) )),
134.03/134.31	  inference(negated_conjecture,[status(cth)],[f2849])).
134.03/134.31	fof(f4727,plain,(
134.03/134.31	  ~p(c_24False)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f537])).
134.03/134.31	fof(f8187,plain,(
134.03/134.31	  cCoq_2eNumbers_2eBinNums_2epositive___24t(cCoq_2eNumbers_2eBinNums_2exH)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f1602])).
134.03/134.31	fof(f8889,plain,(
134.03/134.31	  (![V0__x]: (~cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)|(~cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))|cUseAuto_2eP___24a1(V0__x))))<=>p(cUseAuto_2emyFact)),
134.03/134.31	  inference(pre_NNF_transformation,[status(thm)],[f1815])).
134.03/134.31	fof(f8890,plain,(
134.03/134.31	  ((?[V0__x]: (cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)&(cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))&~cUseAuto_2eP___24a1(V0__x))))|p(cUseAuto_2emyFact))&((![V0__x]: (~cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)|(~cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))|cUseAuto_2eP___24a1(V0__x))))|~p(cUseAuto_2emyFact))),
134.03/134.31	  inference(NNF_transformation,[status(thm)],[f8889])).
134.03/134.31	fof(f8891,plain,(
134.03/134.31	  ((cCoq_2eInit_2eDatatypes_2enat___24t(sK718_skl)&(cCoq_2eInit_2ePeano_2ele___24a2(sK718_skl,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))&~cUseAuto_2eP___24a1(sK718_skl)))|p(cUseAuto_2emyFact))&((![V0__x]: (~cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)|(~cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))|cUseAuto_2eP___24a1(V0__x))))|~p(cUseAuto_2emyFact))),
134.03/134.31	  inference(skolemize,[status(esa),new_symbols(skolem,[sK718_skl]),skolemize(V0__x,sK718_skl)],[f8890])).
134.03/134.31	fof(f8892,plain,(
134.03/134.31	  cCoq_2eInit_2eDatatypes_2enat___24t(sK718_skl)|p(cUseAuto_2emyFact)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f8891])).
134.03/134.31	fof(f8894,plain,(
134.03/134.31	  ~cUseAuto_2eP___24a1(sK718_skl)|p(cUseAuto_2emyFact)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f8891])).
134.03/134.31	fof(f11568,plain,(
134.03/134.31	  cType___24t(cCoq_2eInit_2eByte_2ebyte)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f2601])).
134.03/134.31	fof(f12407,plain,(
134.03/134.31	  (~p(cUseAuto_2emyFact)&(![V0__x]: (cUseAuto_2eP___24a1(V0__x)|~cCoq_2eInit_2eDatatypes_2enat___24t(V0__x))))),
134.03/134.31	  inference(pre_NNF_transformation,[status(thm)],[f2850])).
134.03/134.31	fof(f12408,plain,(
134.03/134.31	  ~p(cUseAuto_2emyFact)),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f12407])).
134.03/134.31	fof(f12409,plain,(
134.03/134.31	  ![X0]: (cUseAuto_2eP___24a1(X0)|~cCoq_2eInit_2eDatatypes_2enat___24t(X0))),
134.03/134.31	  inference(cnf_transformation,[status(thm)],[f12407])).
134.03/134.40	fof(f19163,definition,(
134.03/134.40	  sQ16_spl <=> (p(c_24False))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
134.03/134.40	fof(f19164,plain,(
134.03/134.40	  p(c_24False)|~sQ16_spl),
134.03/134.40	  inference(component_clause,[status(thm)],[f19163])).
134.03/134.40	fof(f19211,definition,(
134.03/134.40	  sQ28_spl <=> (cCoq_2eInit_2eDatatypes_2enat___24t(sK718_skl))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
134.03/134.40	fof(f19212,plain,(
134.03/134.40	  cCoq_2eInit_2eDatatypes_2enat___24t(sK718_skl)|~sQ28_spl),
134.03/134.40	  inference(component_clause,[status(thm)],[f19211])).
134.03/134.40	fof(f19214,definition,(
134.03/134.40	  sQ29_spl <=> (p(cUseAuto_2emyFact))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
134.03/134.40	fof(f19215,plain,(
134.03/134.40	  p(cUseAuto_2emyFact)|~sQ29_spl),
134.03/134.40	  inference(component_clause,[status(thm)],[f19214])).
134.03/134.40	fof(f19217,plain,(
134.03/134.40	  sQ28_spl|sQ29_spl),
134.03/134.40	  inference(split_clause,[status(thm)],[f8892,f19211,f19214])).
134.03/134.40	fof(f19222,definition,(
134.03/134.40	  sQ31_spl <=> (cUseAuto_2eP___24a1(sK718_skl))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
134.03/134.40	fof(f19224,plain,(
134.03/134.40	  ~cUseAuto_2eP___24a1(sK718_skl)|sQ31_spl),
134.03/134.40	  inference(component_clause,[status(thm)],[f19222])).
134.03/134.40	fof(f19225,plain,(
134.03/134.40	  ~sQ31_spl|sQ29_spl),
134.03/134.40	  inference(split_clause,[status(thm)],[f8894,f19222,f19214])).
134.03/134.40	fof(f19334,definition,(
134.03/134.40	  ![X2]: (sQ59_spl <=> (~cCoq_2eNumbers_2eBinNums_2epositive___24t(X2)))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
134.03/134.40	fof(f19335,plain,(
134.03/134.40	  ![X0]: (~cCoq_2eNumbers_2eBinNums_2epositive___24t(X0)|~sQ59_spl)),
134.03/134.40	  inference(component_clause,[status(thm)],[f19334])).
134.03/134.40	fof(f20335,plain,(
134.03/134.40	  $false|~sQ29_spl),
134.03/134.40	  inference(forward_subsumption_resolution,[status(thm)],[f19215,f12408])).
134.03/134.40	fof(f20336,plain,(
134.03/134.40	  ~sQ29_spl),
134.03/134.40	  inference(contradiction_clause,[status(thm)],[f20335])).
134.03/134.40	fof(f20404,plain,(
134.03/134.40	  $false|~sQ59_spl),
134.03/134.40	  inference(forward_subsumption_resolution,[status(thm)],[f8187,f19335])).
134.03/134.40	fof(f20405,plain,(
134.03/134.40	  ~sQ59_spl),
134.03/134.40	  inference(contradiction_clause,[status(thm)],[f20404])).
134.03/134.40	fof(f20526,definition,(
134.03/134.40	  sQ103_spl <=> (cType___24t(cCoq_2eInit_2eByte_2ebyte))),
134.03/134.40	  introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
134.03/134.40	fof(f20528,plain,(
134.03/134.40	  ~cType___24t(cCoq_2eInit_2eByte_2ebyte)|sQ103_spl),
134.03/134.40	  inference(component_clause,[status(thm)],[f20526])).
134.03/134.40	fof(f20546,plain,(
134.03/134.40	  $false|sQ103_spl),
134.03/134.40	  inference(forward_subsumption_resolution,[status(thm)],[f20528,f11568])).
134.03/134.40	fof(f20547,plain,(
134.03/134.40	  sQ103_spl),
134.03/134.40	  inference(contradiction_clause,[status(thm)],[f20546])).
134.03/134.40	fof(f20562,plain,(
134.03/134.40	  $false|~sQ16_spl),
134.03/134.40	  inference(forward_subsumption_resolution,[status(thm)],[f19164,f4727])).
134.03/134.40	fof(f20563,plain,(
134.03/134.40	  ~sQ16_spl),
134.03/134.40	  inference(contradiction_clause,[status(thm)],[f20562])).
134.03/134.40	fof(f20581,plain,(
134.03/134.40	  cUseAuto_2eP___24a1(sK718_skl)|~sQ28_spl),
134.03/134.40	  inference(resolution,[status(thm)],[f19212,f12409])).
134.03/134.40	fof(f20582,plain,(
134.03/134.40	  $false|~sQ28_spl|sQ31_spl),
134.03/134.40	  inference(forward_subsumption_resolution,[status(thm)],[f19224,f20581])).
134.03/134.40	fof(f20583,plain,(
134.03/134.40	  ~sQ28_spl|sQ31_spl),
134.03/134.40	  inference(contradiction_clause,[status(thm)],[f20582])).
134.03/134.40	fof(f20584,plain,(
134.03/134.40	  $false),
134.03/134.40	  inference(sat_refutation,[status(thm)],[f19217,f19225,f20336,f20405,f20547,f20563,f20583])).
134.03/134.40	% SZS output end CNFRefutation for theBenchmark.p
134.04/134.43	% Elapsed time: 134.064315 seconds
134.04/134.43	% CPU time: 135.047046 seconds
134.04/134.43	% Total memory used: 5.208 GB
134.04/134.43	% Net memory used: 5.203 GB
134.04/134.44	EOF