0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : satallax -E eprover -P picomus -M modes -p tstp -t %d %s
0.02/0.22	% Computer   : n130.star.cs.uiowa.edu
0.02/0.22	% Model      : x86_64 x86_64
0.02/0.22	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.22	% Memory     : 32218.625MB
0.02/0.22	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.22	% CPULimit   : 300
0.02/0.22	% DateTime   : Sun Jul 15 13:33:40 CDT 2018
0.02/0.23	% CPUTime    : 
0.06/0.27	% SZS status Theorem
0.06/0.27	% Mode: mode213
0.06/0.27	% Inferences: 373
0.06/0.27	% SZS output start Proof
0.06/0.27	thf(ty_$i, type, $i : $tType).
0.06/0.27	thf(ty_eigen__2, type, eigen__2 : ($i>$o)).
0.06/0.27	thf(ty_eigen__3, type, eigen__3 : $i).
0.06/0.27	thf(h0, assumption, (![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
0.06/0.27	thf(eigendef_eigen__3, definition, (eigen__3 = (eps__0 @ (^[X1:$i]:(~(((![X2:$i]:((~($false)) => (eigen__2 @ X2))) => (eigen__2 @ X1))))))), introduced(definition,[new_symbols(definition,[eigen__3]))).
0.06/0.27	thf(h1, assumption, (![X1:($i>$o)>$o]:(![X2:$i>$o]:((X1 @ X2) => (X1 @ (eps__1 @ X1))))),introduced(assumption,[])).
0.06/0.27	thf(eigendef_eigen__2, definition, (eigen__2 = (eps__1 @ (^[X1:$i>$o]:(~((![X2:$i]:((![X3:$i]:((~($false)) => (X1 @ X3))) => (X1 @ X2)))))))), introduced(definition,[new_symbols(definition,[eigen__2]))).
0.06/0.27	thf(sP1,plain,(sP1 <=> (![X1:$i>$o]:(![X2:$i]:((![X3:$i]:((~($false)) => (X1 @ X3))) => (X1 @ X2)))),introduced(definition,[new_symbols(definition,[sP1])]))).
0.06/0.27	thf(sP2,plain,(sP2 <=> (![X1:$i]:((~($false)) => (eigen__2 @ X1))),introduced(definition,[new_symbols(definition,[sP2])]))).
0.06/0.27	thf(sP3,plain,(sP3 <=> ((~($false)) => (eigen__2 @ eigen__3)),introduced(definition,[new_symbols(definition,[sP3])]))).
0.06/0.27	thf(sP4,plain,(sP4 <=> (sP2 => (eigen__2 @ eigen__3)),introduced(definition,[new_symbols(definition,[sP4])]))).
0.06/0.27	thf(sP5,plain,(sP5 <=> (eigen__2 @ eigen__3),introduced(definition,[new_symbols(definition,[sP5])]))).
0.06/0.27	thf(sP6,plain,(sP6 <=> (![X1:$i>$i>$o]:(~((![X2:$i>$o]:(![X3:$i]:((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))) => (X2 @ X3))))))),introduced(definition,[new_symbols(definition,[sP6])]))).
0.06/0.27	thf(sP7,plain,(sP7 <=> (![X1:$i]:(sP2 => (eigen__2 @ X1))),introduced(definition,[new_symbols(definition,[sP7])]))).
0.06/0.27	thf(sP8,plain,(sP8 <=> $false,introduced(definition,[new_symbols(definition,[sP8])]))).
0.06/0.27	thf(def_mfalse,definition,(mfalse = (^[X1:$i]:sP8))).
0.06/0.27	thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~(sP8))))).
0.06/0.27	thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
0.06/0.27	thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
0.06/0.27	thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
0.06/0.27	thf(def_mimpl,definition,(mimpl = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
0.06/0.27	thf(def_miff,definition,(miff = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimpl @ X1) @ X2)) @ ((mimpl @ X2) @ X1)))))).
0.06/0.27	thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
0.06/0.27	thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~((![X4:$i]:(((X1 @ X3) @ X4) => (~((X2 @ X4)))))))))))).
0.06/0.27	thf(def_mall,definition,(mall = (^[X1:individuals>$i>$o]:(^[X2:$i]:(![X3:individuals]:((X1 @ X3) @ X2)))))).
0.06/0.27	thf(def_mexists,definition,(mexists = (^[X1:individuals>$i>$o]:(^[X2:$i]:(~((![X3:individuals]:(~(((X1 @ X3) @ X2)))))))))).
0.06/0.27	thf(def_mvalid,definition,(mvalid = (!!))).
0.06/0.27	thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
0.06/0.27	thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
0.06/0.27	thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
0.06/0.27	thf(thm,conjecture,(~((![X1:$i>$i>$o]:(~((![X2:$i>$o]:(mvalid @ ((mimpl @ ((mbox @ X1) @ X2)) @ X2))))))))).
0.06/0.27	thf(h2,negated_conjecture,sP6,inference(assume_negation,[status(cth)],[thm])).
0.06/0.27	thf(1,plain,(~(sP6) | ~(sP1)),inference(all_rule,[status(thm)],[])).
0.06/0.27	thf(2,plain,(sP1 | ~(sP7)),inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__2])).
0.06/0.27	thf(3,plain,(sP7 | ~(sP4)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3])).
0.06/0.27	thf(4,plain,(sP4 | sP2),inference(prop_rule,[status(thm)],[])).
0.06/0.27	thf(5,plain,(sP4 | ~(sP5)),inference(prop_rule,[status(thm)],[])).
0.06/0.27	thf(6,plain,~(sP8),inference(prop_rule,[status(thm)],[])).
0.06/0.27	thf(7,plain,((~(sP3) | sP8) | sP5),inference(prop_rule,[status(thm)],[])).
0.06/0.27	thf(8,plain,(~(sP2) | sP3),inference(all_rule,[status(thm)],[])).
0.06/0.27	thf(9,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h1,h0])],[h2,1,2,3,4,5,6,7,8])).
0.06/0.27	thf(10,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h2,h0]),eigenvar_choice(discharge,[h1])],[9,h1])).
0.06/0.27	thf(11,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h2]),eigenvar_choice(discharge,[h0])],[10,h0])).
0.06/0.27	% SZS output end Proof
0.06/0.28	EOF