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
0.02/0.23	% Computer   : n126.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sun Jul 15 13:25:10 CDT 2018
0.02/0.23	% CPUTime    : 
0.06/0.47	% SZS status Theorem
0.06/0.47	% Mode: mode485
0.06/0.47	% Inferences: 3
0.06/0.47	% SZS output start Proof
0.06/0.47	thf(ty_subst, type, subst : $tType).
0.06/0.47	thf(ty_term, type, term : $tType).
0.06/0.47	thf(ty_push, type, push : (term>subst>subst)).
0.06/0.47	thf(ty_eigen__0, type, eigen__0 : term).
0.06/0.47	thf(ty_one, type, one : term).
0.06/0.47	thf(ty_sub, type, sub : (term>subst>term)).
0.06/0.47	thf(ty_sh, type, sh : subst).
0.06/0.47	thf(h0, assumption, (![X1:term>$o]:(![X2:term]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
0.06/0.47	thf(eigendef_eigen__0, definition, (eigen__0 = (eps__0 @ (^[X1:term]:(~((~((![X2:subst>term>term]:(~((((sub @ X1) @ ((push @ one) @ sh)) = ((X2 @ sh) @ one)))))))))))), introduced(definition,[new_symbols(definition,[eigen__0]))).
0.06/0.47	thf(sP1,plain,(sP1 <=> (![X1:subst>term>term]:(~((((sub @ eigen__0) @ ((push @ one) @ sh)) = ((X1 @ sh) @ one))))),introduced(definition,[new_symbols(definition,[sP1])]))).
0.06/0.47	thf(sP2,plain,(sP2 <=> (((sub @ eigen__0) @ ((push @ one) @ sh)) = ((sub @ eigen__0) @ ((push @ one) @ sh))),introduced(definition,[new_symbols(definition,[sP2])]))).
0.06/0.47	thf(sP3,plain,(sP3 <=> (![X1:term]:(~((![X2:subst>term>term]:(~((((sub @ X1) @ ((push @ one) @ sh)) = ((X2 @ sh) @ one)))))))),introduced(definition,[new_symbols(definition,[sP3])]))).
0.06/0.47	thf(def_hoasinduction_lem3b,definition,(hoasinduction_lem3b = sP3)).
0.06/0.47	thf(def_hoasinduction_lem3b_lthm,definition,(hoasinduction_lem3b_lthm = hoasinduction_lem3b)).
0.06/0.47	thf(thm,conjecture,hoasinduction_lem3b_lthm).
0.06/0.47	thf(h1,negated_conjecture,(~(sP3)),inference(assume_negation,[status(cth)],[thm])).
0.06/0.47	thf(1,plain,(sP3 | sP1),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__0])).
0.06/0.47	thf(2,plain,(~(sP1) | ~(sP2)),inference(all_rule,[status(thm)],[])).
0.06/0.47	thf(3,plain,sP2,inference(prop_rule,[status(thm)],[])).
0.06/0.47	thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[h1,1,2,3])).
0.06/0.47	thf(5,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[4,h0])).
0.06/0.47	% SZS output end Proof
0.06/0.47	EOF