0.00/0.03	% Problem  : MGT086+1 : TPTP v9.3.0. Released v9.3.0.
0.00/0.04	% Command  : drodi -timeout(180) /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.36	% Computer : n028.cluster.edu
0.10/0.36	% Model    : x86_64 x86_64
0.10/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.36	% Memory   : 8046.5625MB
0.10/0.36	% OS       : Linux 6.8.0-71-generic
0.10/0.36	% CPULimit : 1440
0.10/0.36	% WCLimit  : 180
0.10/0.36	% DateTime : Tue Aug  4 10:26:56 UTC 2026
0.10/0.36	% CPUTime  : 
0.10/0.37	% Drodi V4.1.1
0.10/0.39	% Refutation found
0.10/0.39	% SZS status Theorem for theBenchmark: Theorem is valid
0.10/0.39	% SZS output start CNFRefutation for theBenchmark
0.10/0.39	fof(f4,axiom,(
0.10/0.39	  (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f7,axiom,(
0.10/0.39	  (! [X,Y] :( ( leq(Y,X)& leq(X,Y) )=> Y = X ) )),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f8,axiom,(
0.10/0.39	  (! [X] : ~ less(X,X) )),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f14,axiom,(
0.10/0.39	  (! [X,A,B] :( in_lopen(X,A,B)<=> ( leq(X,B)& less(A,X) ) ) )),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f33,axiom,(
0.10/0.39	  less(v0,v200) ),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f37,axiom,(
0.10/0.39	  less(v200,v400) ),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f42,axiom,(
0.10/0.39	  less(v600,v800) ),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f43,conjecture,(
0.10/0.39	  (? [X,Y] :( leq(v800,X)& in_lopen(Y,v0,v200)& ( ( in_lopen(X,v0,v600)& ~ in_lopen(Y,v0,v400) )| ( ~ in_lopen(X,v0,v600)& in_lopen(Y,v0,v400) ) ) ) )),
0.10/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
0.10/0.39	fof(f44,negated_conjecture,(
0.10/0.39	  ~((? [X,Y] :( leq(v800,X)& in_lopen(Y,v0,v200)& ( ( in_lopen(X,v0,v600)& ~ in_lopen(Y,v0,v400) )| ( ~ in_lopen(X,v0,v600)& in_lopen(Y,v0,v400) ) ) ) ))),
0.10/0.39	  inference(negated_conjecture,[status(cth)],[f43])).
0.10/0.39	fof(f52,plain,(
0.10/0.39	  ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
0.10/0.39	  inference(NNF_transformation,[status(thm)],[f4])).
0.10/0.39	fof(f53,plain,(
0.10/0.39	  (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
0.10/0.39	  inference(miniscoping,[status(thm)],[f52])).
0.10/0.39	fof(f54,plain,(
0.10/0.39	  ![X0,X1]: (~leq(X0,X1)|less(X0,X1)|X0=X1)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f53])).
0.10/0.39	fof(f55,plain,(
0.10/0.39	  ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f53])).
0.10/0.39	fof(f56,plain,(
0.10/0.39	  ![X0,X1]: (leq(X0,X1)|~X0=X1)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f53])).
0.10/0.39	fof(f63,plain,(
0.10/0.39	  ![X,Y]: ((~leq(Y,X)|~leq(X,Y))|Y=X)),
0.10/0.39	  inference(pre_NNF_transformation,[status(thm)],[f7])).
0.10/0.39	fof(f64,plain,(
0.10/0.39	  ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f63])).
0.10/0.39	fof(f65,plain,(
0.10/0.39	  ![X0]: (~less(X0,X0))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f8])).
0.10/0.39	fof(f80,plain,(
0.10/0.39	  ![X,A,B]: ((~in_lopen(X,A,B)|(leq(X,B)&less(A,X)))&(in_lopen(X,A,B)|(~leq(X,B)|~less(A,X))))),
0.10/0.39	  inference(NNF_transformation,[status(thm)],[f14])).
0.10/0.39	fof(f81,plain,(
0.10/0.39	  (![X,A,B]: (~in_lopen(X,A,B)|(leq(X,B)&less(A,X))))&(![X,A,B]: (in_lopen(X,A,B)|(~leq(X,B)|~less(A,X))))),
0.10/0.39	  inference(miniscoping,[status(thm)],[f80])).
0.10/0.39	fof(f82,plain,(
0.10/0.39	  ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|leq(X0,X2))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f81])).
0.10/0.39	fof(f83,plain,(
0.10/0.39	  ![X0,X1,X2]: (~in_lopen(X0,X1,X2)|less(X1,X0))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f81])).
0.10/0.39	fof(f84,plain,(
0.10/0.39	  ![X0,X1,X2]: (in_lopen(X0,X1,X2)|~leq(X0,X2)|~less(X1,X0))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f81])).
0.10/0.39	fof(f131,plain,(
0.10/0.39	  less(v0,v200)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f33])).
0.10/0.39	fof(f135,plain,(
0.10/0.39	  less(v200,v400)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f37])).
0.10/0.39	fof(f140,plain,(
0.10/0.39	  less(v600,v800)),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f42])).
0.10/0.39	fof(f141,plain,(
0.10/0.39	  (![X,Y]: ((~leq(v800,X)|~in_lopen(Y,v0,v200))|((~in_lopen(X,v0,v600)|in_lopen(Y,v0,v400))&(in_lopen(X,v0,v600)|~in_lopen(Y,v0,v400)))))),
0.10/0.39	  inference(pre_NNF_transformation,[status(thm)],[f44])).
0.10/0.39	fof(f143,plain,(
0.10/0.39	  ![X0,X1]: (~leq(v800,X0)|~in_lopen(X1,v0,v200)|in_lopen(X0,v0,v600)|~in_lopen(X1,v0,v400))),
0.10/0.39	  inference(cnf_transformation,[status(thm)],[f141])).
0.10/0.39	fof(f151,definition,(
0.10/0.39	  ![X0]: (sQ2_spl <=> (~leq(v800,X0)|in_lopen(X0,v0,v600)))),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
0.10/0.39	fof(f152,plain,(
0.10/0.39	  ![X0]: (~leq(v800,X0)|in_lopen(X0,v0,v600)|~sQ2_spl)),
0.10/0.39	  inference(component_clause,[status(thm)],[f151])).
0.10/0.39	fof(f154,definition,(
0.10/0.39	  ![X1]: (sQ3_spl <=> (~in_lopen(X1,v0,v200)|~in_lopen(X1,v0,v400)))),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
0.10/0.39	fof(f155,plain,(
0.10/0.39	  ![X0]: (~in_lopen(X0,v0,v200)|~in_lopen(X0,v0,v400)|~sQ3_spl)),
0.10/0.39	  inference(component_clause,[status(thm)],[f154])).
0.10/0.39	fof(f157,plain,(
0.10/0.39	  sQ2_spl|sQ3_spl),
0.10/0.39	  inference(split_clause,[status(thm)],[f143,f151,f154])).
0.10/0.39	fof(f158,plain,(
0.10/0.39	  ![X0]: (leq(X0,X0))),
0.10/0.39	  inference(destructive_equality_resolution,[status(thm)],[f56])).
0.10/0.39	fof(f170,plain,(
0.10/0.39	  leq(v600,v800)),
0.10/0.39	  inference(resolution,[status(thm)],[f55,f140])).
0.10/0.39	fof(f175,plain,(
0.10/0.39	  leq(v200,v400)),
0.10/0.39	  inference(resolution,[status(thm)],[f55,f135])).
0.10/0.39	fof(f179,plain,(
0.10/0.39	  leq(v0,v200)),
0.10/0.39	  inference(resolution,[status(thm)],[f55,f131])).
0.10/0.39	fof(f195,definition,(
0.10/0.39	  sQ7_spl <=> (v600=v800)),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
0.10/0.39	fof(f196,plain,(
0.10/0.39	  v600=v800|~sQ7_spl),
0.10/0.39	  inference(component_clause,[status(thm)],[f195])).
0.10/0.39	fof(f297,plain,(
0.10/0.39	  less(v0,v200)|v0=v200),
0.10/0.39	  inference(resolution,[status(thm)],[f179,f54])).
0.10/0.39	fof(f299,definition,(
0.10/0.39	  sQ22_spl <=> (less(v0,v200))),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
0.10/0.39	fof(f302,definition,(
0.10/0.39	  sQ23_spl <=> (v0=v200)),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
0.10/0.39	fof(f303,plain,(
0.10/0.39	  v0=v200|~sQ23_spl),
0.10/0.39	  inference(component_clause,[status(thm)],[f302])).
0.10/0.39	fof(f305,plain,(
0.10/0.39	  sQ22_spl|sQ23_spl),
0.10/0.39	  inference(split_clause,[status(thm)],[f297,f299,f302])).
0.10/0.39	fof(f315,plain,(
0.10/0.39	  ~leq(v800,v600)|v800=v600),
0.10/0.39	  inference(resolution,[status(thm)],[f64,f170])).
0.10/0.39	fof(f353,definition,(
0.10/0.39	  sQ33_spl <=> (leq(v800,v600))),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
0.10/0.39	fof(f355,plain,(
0.10/0.39	  ~leq(v800,v600)|sQ33_spl),
0.10/0.39	  inference(component_clause,[status(thm)],[f353])).
0.10/0.39	fof(f356,plain,(
0.10/0.39	  ~sQ33_spl|sQ7_spl),
0.10/0.39	  inference(split_clause,[status(thm)],[f315,f353,f195])).
0.10/0.39	fof(f365,plain,(
0.10/0.39	  less(v600,v600)|~sQ7_spl),
0.10/0.39	  inference(backward_demodulation,[status(thm)],[f196,f140])).
0.10/0.39	fof(f369,plain,(
0.10/0.39	  $false|~sQ7_spl),
0.10/0.39	  inference(forward_subsumption_resolution,[status(thm)],[f365,f65])).
0.10/0.39	fof(f370,plain,(
0.10/0.39	  ~sQ7_spl),
0.10/0.39	  inference(contradiction_clause,[status(thm)],[f369])).
0.10/0.39	fof(f392,plain,(
0.10/0.39	  less(v0,v0)|~sQ23_spl),
0.10/0.39	  inference(backward_demodulation,[status(thm)],[f303,f131])).
0.10/0.39	fof(f394,plain,(
0.10/0.39	  $false|~sQ23_spl),
0.10/0.39	  inference(forward_subsumption_resolution,[status(thm)],[f392,f65])).
0.10/0.39	fof(f395,plain,(
0.10/0.39	  ~sQ23_spl),
0.10/0.39	  inference(contradiction_clause,[status(thm)],[f394])).
0.10/0.39	fof(f541,plain,(
0.10/0.39	  ![X0]: (~leq(v800,X0)|leq(X0,v600)|~sQ2_spl)),
0.10/0.39	  inference(resolution,[status(thm)],[f152,f82])).
0.10/0.39	fof(f552,plain,(
0.10/0.39	  leq(v800,v600)|~sQ2_spl),
0.10/0.39	  inference(resolution,[status(thm)],[f541,f158])).
0.10/0.39	fof(f620,plain,(
0.10/0.39	  $false|sQ33_spl|~sQ2_spl),
0.10/0.39	  inference(forward_subsumption_resolution,[status(thm)],[f552,f355])).
0.10/0.39	fof(f621,plain,(
0.10/0.39	  sQ33_spl|~sQ2_spl),
0.10/0.39	  inference(contradiction_clause,[status(thm)],[f620])).
0.10/0.39	fof(f625,plain,(
0.10/0.39	  ![X0]: (~in_lopen(X0,v0,v200)|~leq(X0,v400)|~less(v0,X0)|~sQ3_spl)),
0.10/0.39	  inference(resolution,[status(thm)],[f155,f84])).
0.10/0.39	fof(f626,plain,(
0.10/0.39	  ![X0]: (~in_lopen(X0,v0,v200)|~leq(X0,v400)|~sQ3_spl)),
0.10/0.39	  inference(forward_subsumption_resolution,[status(thm)],[f625,f83])).
0.10/0.39	fof(f627,plain,(
0.10/0.39	  ![X0]: (~leq(X0,v400)|~leq(X0,v200)|~less(v0,X0)|~sQ3_spl)),
0.10/0.39	  inference(resolution,[status(thm)],[f626,f84])).
0.10/0.39	fof(f631,plain,(
0.10/0.39	  ~leq(v200,v200)|~less(v0,v200)|~sQ3_spl),
0.10/0.39	  inference(resolution,[status(thm)],[f627,f175])).
0.10/0.39	fof(f637,definition,(
0.10/0.39	  sQ43_spl <=> (leq(v200,v200))),
0.10/0.39	  introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
0.10/0.39	fof(f639,plain,(
0.10/0.39	  ~leq(v200,v200)|sQ43_spl),
0.10/0.39	  inference(component_clause,[status(thm)],[f637])).
0.10/0.39	fof(f640,plain,(
0.10/0.39	  ~sQ43_spl|~sQ22_spl|~sQ3_spl),
0.10/0.39	  inference(split_clause,[status(thm)],[f631,f637,f299,f154])).
0.10/0.39	fof(f644,plain,(
0.10/0.39	  $false|sQ43_spl),
0.10/0.39	  inference(forward_subsumption_resolution,[status(thm)],[f639,f158])).
0.10/0.39	fof(f645,plain,(
0.10/0.39	  sQ43_spl),
0.10/0.39	  inference(contradiction_clause,[status(thm)],[f644])).
0.10/0.39	fof(f646,plain,(
0.10/0.39	  $false),
0.10/0.39	  inference(sat_refutation,[status(thm)],[f157,f305,f356,f370,f395,f621,f640,f645])).
0.10/0.39	% SZS output end CNFRefutation for theBenchmark.p
0.14/0.43	% Elapsed time: 0.052167 seconds
0.14/0.43	% CPU time: 0.175290 seconds
0.14/0.43	% Total memory used: 82.670 MB
0.14/0.43	% Net memory used: 82.507 MB
0.14/0.43	EOF