0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.12	% Command    : satallax -s schedule_3_1 -E eprover -P picomus -M modes -p tstp -t %d %s
0.12/0.34	% Computer   : n015.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 180
0.12/0.34	% DateTime   : Fri Sep  6 10:21:51 EDT 2019
0.12/0.34	% CPUTime    : 
160.43/160.73	% SZS status Theorem
160.43/160.73	% Mode: mode455
160.43/160.73	% Inferences: 2955
160.43/160.73	% SZS output start Proof
160.43/160.73	thf(ty_$i, type, $i : $tType).
160.43/160.73	thf(ty_eigen__6, type, eigen__6 : $i).
160.43/160.73	thf(ty_parent_THFTYPE_IiioI, type, parent_THFTYPE_IiioI : ($i>$i>$o)).
160.43/160.73	thf(ty_eigen__2, type, eigen__2 : $i).
160.43/160.73	thf(ty_eigen__7, type, eigen__7 : $i).
160.43/160.73	thf(ty_likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI : ($i>$i>$o)).
160.43/160.73	thf(ty_eigen__1, type, eigen__1 : $i).
160.43/160.73	thf(ty_eigen__0, type, eigen__0 : $i).
160.43/160.73	thf(ty_lMary_THFTYPE_i, type, lMary_THFTYPE_i : $i).
160.43/160.73	thf(ty_eigen__4, type, eigen__4 : $i).
160.43/160.73	thf(ty_eigen__5, type, eigen__5 : $i).
160.43/160.73	thf(ty_eigen__3, type, eigen__3 : $i).
160.43/160.73	thf(ty_lBill_THFTYPE_i, type, lBill_THFTYPE_i : $i).
160.43/160.73	thf(ty_lAnna_THFTYPE_i, type, lAnna_THFTYPE_i : $i).
160.43/160.73	thf(sP1,plain,(sP1 <=> $false,introduced(definition,[new_symbols(definition,[sP1])]))).
160.43/160.73	thf(sP2,plain,(sP2 <=> ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lAnna_THFTYPE_i),introduced(definition,[new_symbols(definition,[sP2])]))).
160.43/160.73	thf(sP3,plain,(sP3 <=> (![X1:$i]:(((parent_THFTYPE_IiioI @ eigen__4) @ X1) = (~(sP1)))),introduced(definition,[new_symbols(definition,[sP3])]))).
160.43/160.73	thf(sP4,plain,(sP4 <=> ((parent_THFTYPE_IiioI @ eigen__4) @ eigen__5),introduced(definition,[new_symbols(definition,[sP4])]))).
160.43/160.73	thf(sP5,plain,(sP5 <=> (![X1:$i>$i>$o]:(![X2:$i>$i>$o]:(![X3:$i]:((~(((~(((~((X1 = (^[X4:$i]:(^[X5:$i]:(~(sP1))))))) => (X2 = (^[X4:$i]:(^[X5:$i]:(~(sP1)))))))) => (~(((X1 @ X3) @ lAnna_THFTYPE_i)))))) => (~(((X2 @ X3) @ lBill_THFTYPE_i))))))),introduced(definition,[new_symbols(definition,[sP5])]))).
160.43/160.73	thf(sP6,plain,(sP6 <=> ((~(((~(((~((parent_THFTYPE_IiioI = (^[X1:$i]:(^[X2:$i]:(~(sP1))))))) => (likes_THFTYPE_IiioI = (^[X1:$i]:(^[X2:$i]:(~(sP1)))))))) => (~(sP2))))) => (~(((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i)))),introduced(definition,[new_symbols(definition,[sP6])]))).
160.43/160.73	thf(sP7,plain,(sP7 <=> (![X1:$i]:(((likes_THFTYPE_IiioI @ eigen__0) @ X1) = (~(sP1)))),introduced(definition,[new_symbols(definition,[sP7])]))).
160.43/160.73	thf(sP8,plain,(sP8 <=> (![X1:$i]:((~(((~(((~((parent_THFTYPE_IiioI = (^[X2:$i]:(^[X3:$i]:(~(sP1))))))) => (likes_THFTYPE_IiioI = (^[X2:$i]:(^[X3:$i]:(~(sP1)))))))) => (~(((parent_THFTYPE_IiioI @ X1) @ lAnna_THFTYPE_i)))))) => (~(((likes_THFTYPE_IiioI @ X1) @ lBill_THFTYPE_i))))),introduced(definition,[new_symbols(definition,[sP8])]))).
160.43/160.73	thf(sP9,plain,(sP9 <=> ((likes_THFTYPE_IiioI @ eigen__0) = (^[X1:$i]:(~(sP1)))),introduced(definition,[new_symbols(definition,[sP9])]))).
160.43/160.73	thf(sP10,plain,(sP10 <=> (parent_THFTYPE_IiioI = (^[X1:$i]:(^[X2:$i]:(~(sP1))))),introduced(definition,[new_symbols(definition,[sP10])]))).
160.43/160.73	thf(sP11,plain,(sP11 <=> ((parent_THFTYPE_IiioI @ eigen__4) = (^[X1:$i]:(~(sP1)))),introduced(definition,[new_symbols(definition,[sP11])]))).
160.43/160.73	thf(sP12,plain,(sP12 <=> (![X1:$i]:((likes_THFTYPE_IiioI @ X1) = (^[X2:$i]:(~(sP1))))),introduced(definition,[new_symbols(definition,[sP12])]))).
160.43/160.73	thf(sP13,plain,(sP13 <=> ((~(sP10)) => (likes_THFTYPE_IiioI = (^[X1:$i]:(^[X2:$i]:(~(sP1)))))),introduced(definition,[new_symbols(definition,[sP13])]))).
160.43/160.73	thf(sP14,plain,(sP14 <=> (((likes_THFTYPE_IiioI @ eigen__0) @ eigen__1) = (~(sP1))),introduced(definition,[new_symbols(definition,[sP14])]))).
160.43/160.73	thf(sP15,plain,(sP15 <=> ((~(sP13)) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP15])]))).
160.43/160.73	thf(sP16,plain,(sP16 <=> (![X1:$i]:((parent_THFTYPE_IiioI @ X1) = (^[X2:$i]:(~(sP1))))),introduced(definition,[new_symbols(definition,[sP16])]))).
160.43/160.73	thf(sP17,plain,(sP17 <=> ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i),introduced(definition,[new_symbols(definition,[sP17])]))).
160.43/160.73	thf(sP18,plain,(sP18 <=> ((likes_THFTYPE_IiioI @ eigen__0) @ eigen__1),introduced(definition,[new_symbols(definition,[sP18])]))).
160.43/160.73	thf(sP19,plain,(sP19 <=> (![X1:$i>$i>$o]:(![X2:$i]:((~(((~(((~(sP10)) => (X1 = (^[X3:$i]:(^[X4:$i]:(~(sP1)))))))) => (~(((parent_THFTYPE_IiioI @ X2) @ lAnna_THFTYPE_i)))))) => (~(((X1 @ X2) @ lBill_THFTYPE_i)))))),introduced(definition,[new_symbols(definition,[sP19])]))).
160.43/160.73	thf(sP20,plain,(sP20 <=> (likes_THFTYPE_IiioI = (^[X1:$i]:(^[X2:$i]:(~(sP1))))),introduced(definition,[new_symbols(definition,[sP20])]))).
160.43/160.73	thf(sP21,plain,(sP21 <=> (sP4 = (~(sP1))),introduced(definition,[new_symbols(definition,[sP21])]))).
160.43/160.73	thf(con,conjecture,(~(sP5))).
160.43/160.73	thf(h0,negated_conjecture,sP5,inference(assume_negation,[status(cth)],[con])).
160.43/160.73	thf(h1,assumption,(~(((!!) @ (likes_THFTYPE_IiioI @ eigen__0)))),introduced(assumption,[])).
160.43/160.73	thf(h2,assumption,(~(sP18)),introduced(assumption,[])).
160.43/160.73	thf(h3,assumption,(~(((!!) @ (likes_THFTYPE_IiioI @ eigen__2)))),introduced(assumption,[])).
160.43/160.73	thf(h4,assumption,(~(((likes_THFTYPE_IiioI @ eigen__2) @ eigen__3))),introduced(assumption,[])).
160.43/160.73	thf(h5,assumption,(~(((!!) @ (parent_THFTYPE_IiioI @ eigen__4)))),introduced(assumption,[])).
160.43/160.73	thf(h6,assumption,(~(sP4)),introduced(assumption,[])).
160.43/160.73	thf(h7,assumption,(~(((!!) @ (parent_THFTYPE_IiioI @ eigen__6)))),introduced(assumption,[])).
160.43/160.73	thf(h8,assumption,(~(((parent_THFTYPE_IiioI @ eigen__6) @ eigen__7))),introduced(assumption,[])).
160.43/160.73	thf(ax_001,axiom,sP2).
160.43/160.73	thf(ax_034,axiom,sP17).
160.43/160.73	thf(1,plain,(~(sP5) | sP19),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(2,plain,(~(sP19) | sP8),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(3,plain,(~(sP10) | sP16),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(4,plain,(~(sP16) | sP11),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(5,plain,((~(sP13) | sP10) | sP20),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(6,plain,((~(sP15) | sP13) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(7,plain,((~(sP6) | sP15) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(8,plain,(~(sP8) | sP6),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(9,plain,(~(sP20) | sP12),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(10,plain,(~(sP12) | sP9),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(11,plain,(~(sP11) | sP3),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(12,plain,(~(sP3) | sP21),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(13,plain,(~(sP9) | sP7),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(14,plain,(~(sP7) | sP14),inference(all_rule,[status(thm)],[])).
160.43/160.73	thf(15,plain,~(sP1),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(16,plain,((~(sP21) | sP4) | sP1),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(17,plain,((~(sP14) | sP18) | sP1),inference(prop_rule,[status(thm)],[])).
160.43/160.73	thf(18,plain,$false,inference(prop_unsat,[status(thm),assumptions([h8,h7,h6,h5,h4,h3,h2,h1,h0])],[h0,ax_001,ax_034,h6,h2,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17])).
160.43/160.73	thf(19,plain,$false,inference(tab_negall,[status(thm),assumptions([h7,h6,h5,h4,h3,h2,h1,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__7)],[h7,18,h8])).
160.43/160.73	thf(ax_027,axiom,(~((![X1:$i]:((!!) @ (parent_THFTYPE_IiioI @ X1)))))).
160.43/160.73	thf(20,plain,$false,inference(tab_negall,[status(thm),assumptions([h6,h5,h4,h3,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__6)],[ax_027,19,h7])).
160.43/160.73	thf(21,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h4,h3,h2,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__5)],[h5,20,h6])).
160.43/160.73	thf(22,plain,$false,inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__4)],[ax_027,21,h5])).
160.43/160.73	thf(23,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,22,h4])).
160.43/160.73	thf(ax_005,axiom,(~((![X1:$i]:((!!) @ (likes_THFTYPE_IiioI @ X1)))))).
160.43/160.73	thf(24,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[ax_005,23,h3])).
160.43/160.73	thf(25,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,24,h2])).
160.43/160.73	thf(26,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[ax_005,25,h1])).
160.43/160.73	thf(0,theorem,(~(sP5)),inference(contra,[status(thm),contra(discharge,[h0])],[26,h0])).
160.43/160.73	% SZS output end Proof
160.43/160.73	EOF