0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : satallax -s schedule_3_1 -E eprover -P picomus -M modes -p tstp -t %d %s
0.02/0.23	% Computer   : n135.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 12:44:10 CDT 2018
0.02/0.23	% CPUTime    : 
0.91/1.15	% SZS status Theorem
0.91/1.15	% Mode: mode506
0.91/1.15	% Inferences: 1027
0.91/1.15	% SZS output start Proof
0.91/1.15	thf(ty_a, type, a : $tType).
0.91/1.15	thf(ty_eigen__2, type, eigen__2 : ((a>a>a)>a)).
0.91/1.15	thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
0.91/1.15	thf(ty_eigen__4, type, eigen__4 : a).
0.91/1.15	thf(ty_eigen__3, type, eigen__3 : a).
0.91/1.15	thf(h0, assumption, (![X1:a>$o]:(![X2:a]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
0.91/1.15	thf(eigendef_eigen__3, definition, (eigen__3 = (eps__0 @ (^[X1:a]:(~((![X2:a]:(~(((eigen__0 @ X1) @ X2))))))))), introduced(definition,[new_symbols(definition,[eigen__3]))).
0.91/1.15	thf(h1, assumption, (![X1:(a>a>$o)>$o]:(![X2:a>a>$o]:((X1 @ X2) => (X1 @ (eps__1 @ X1))))),introduced(assumption,[])).
0.91/1.15	thf(eigendef_eigen__0, definition, (eigen__0 = (eps__1 @ (^[X1:a>a>$o]:(~(((~((![X2:a]:(![X3:a]:(~(((X1 @ X2) @ X3))))))) = (~((![X2:(a>a>a)>a]:(~(((X1 @ (X2 @ (^[X3:a]:(^[X4:a]:X3)))) @ (X2 @ (^[X3:a]:(^[X4:a]:X4))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__0]))).
0.91/1.15	thf(h2, assumption, (![X1:((a>a>a)>a)>$o]:(![X2:(a>a>a)>a]:((X1 @ X2) => (X1 @ (eps__2 @ X1))))),introduced(assumption,[])).
0.91/1.16	thf(eigendef_eigen__2, definition, (eigen__2 = (eps__2 @ (^[X1:(a>a>a)>a]:(~((~(((eigen__0 @ (X1 @ (^[X2:a]:(^[X3:a]:X2)))) @ (X1 @ (^[X2:a]:(^[X3:a]:X3))))))))))), introduced(definition,[new_symbols(definition,[eigen__2]))).
0.91/1.16	thf(eigendef_eigen__4, definition, (eigen__4 = (eps__0 @ (^[X1:a]:(~((~(((eigen__0 @ eigen__3) @ X1)))))))), introduced(definition,[new_symbols(definition,[eigen__4]))).
0.91/1.16	thf(sP1,plain,(sP1 <=> ((~((![X1:a]:(![X2:a]:(~(((eigen__0 @ X1) @ X2))))))) = (~((![X1:(a>a>a)>a]:(~(((eigen__0 @ (X1 @ (^[X2:a]:(^[X3:a]:X2)))) @ (X1 @ (^[X2:a]:(^[X3:a]:X3)))))))))),introduced(definition,[new_symbols(definition,[sP1])]))).
0.91/1.16	thf(sP2,plain,(sP2 <=> (![X1:(a>a>a)>a]:(~(((eigen__0 @ (X1 @ (^[X2:a]:(^[X3:a]:X2)))) @ (X1 @ (^[X2:a]:(^[X3:a]:X3))))))),introduced(definition,[new_symbols(definition,[sP2])]))).
0.91/1.16	thf(sP3,plain,(sP3 <=> (![X1:a]:(~(((eigen__0 @ (eigen__2 @ (^[X2:a]:(^[X3:a]:X2)))) @ X1)))),introduced(definition,[new_symbols(definition,[sP3])]))).
0.91/1.16	thf(sP4,plain,(sP4 <=> (![X1:a]:(![X2:a]:(~(((eigen__0 @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP4])]))).
0.91/1.16	thf(sP5,plain,(sP5 <=> ((eigen__0 @ eigen__3) @ eigen__4),introduced(definition,[new_symbols(definition,[sP5])]))).
0.91/1.16	thf(sP6,plain,(sP6 <=> (![X1:a>a>$o]:((~((![X2:a]:(![X3:a]:(~(((X1 @ X2) @ X3))))))) = (~((![X2:(a>a>a)>a]:(~(((X1 @ (X2 @ (^[X3:a]:(^[X4:a]:X3)))) @ (X2 @ (^[X3:a]:(^[X4:a]:X4))))))))))),introduced(definition,[new_symbols(definition,[sP6])]))).
0.91/1.16	thf(sP7,plain,(sP7 <=> ((eigen__0 @ (eigen__2 @ (^[X1:a]:(^[X2:a]:X1)))) @ (eigen__2 @ (^[X1:a]:(^[X2:a]:X2)))),introduced(definition,[new_symbols(definition,[sP7])]))).
0.91/1.16	thf(sP8,plain,(sP8 <=> (![X1:a]:(~(((eigen__0 @ eigen__3) @ X1)))),introduced(definition,[new_symbols(definition,[sP8])]))).
0.91/1.16	thf(cTHM185_pme,conjecture,sP6).
0.91/1.16	thf(h3,negated_conjecture,(~(sP6)),inference(assume_negation,[status(cth)],[cTHM185_pme])).
0.91/1.16	thf(1,plain,(sP6 | ~(sP1)),inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__0])).
0.91/1.16	thf(2,plain,((sP1 | ~(sP4)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
0.91/1.16	thf(3,plain,((sP1 | sP4) | sP2),inference(prop_rule,[status(thm)],[])).
0.91/1.16	thf(4,plain,(sP2 | sP7),inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__2])).
0.91/1.16	thf(5,plain,(~(sP3) | ~(sP7)),inference(all_rule,[status(thm)],[])).
0.91/1.16	thf(6,plain,(~(sP4) | sP3),inference(all_rule,[status(thm)],[])).
0.91/1.16	thf(7,plain,(sP4 | ~(sP8)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3])).
0.91/1.16	thf(8,plain,(sP8 | sP5),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4])).
0.91/1.16	thf(9,plain,(~(sP2) | ~(sP5)),inference(all_rule,[status(thm)],[])).
0.91/1.16	thf(10,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h2,h1,h0])],[h3,1,2,3,4,5,6,7,8,9])).
0.91/1.16	thf(11,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h3,h1,h0]),eigenvar_choice(discharge,[h2])],[10,h2])).
0.91/1.16	thf(12,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h3,h0]),eigenvar_choice(discharge,[h1])],[11,h1])).
0.91/1.16	thf(13,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h3]),eigenvar_choice(discharge,[h0])],[12,h0])).
0.91/1.16	thf(0,theorem,sP6,inference(contra,[status(thm),contra(discharge,[h3])],[10,h3])).
0.91/1.16	% SZS output end Proof
0.91/1.16	EOF