TSTP Solution File: SYN056^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN056^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 11:40:52 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__6,type,
eigen__6: $i ).
thf(ty_cS,type,
cS: $i > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_cP,type,
cP: $i > $o ).
thf(ty_eigen__7,type,
eigen__7: $i ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_cR,type,
cR: $i > $o ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_eigen__5,type,
eigen__5: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_eigen__10,type,
eigen__10: $i ).
thf(ty_eigen__8,type,
eigen__8: $i ).
thf(ty_eigen__9,type,
eigen__9: $i ).
thf(ty_cQ,type,
cQ: $i > $o ).
thf(sP1,plain,
( sP1
<=> ( cQ @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cQ @ eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( cP @ eigen__10 )
=> ~ ( cQ @ eigen__5 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cQ @ eigen__5 )
=> ( cS @ eigen__5 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ sP3
=> ~ ( ( ( cR @ eigen__10 )
=> ( cS @ eigen__5 ) )
=> ~ ( ( cS @ eigen__5 )
=> ( cR @ eigen__10 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cS @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
( ~ ( ( cP @ eigen__8 )
=> ~ ( cQ @ X1 ) )
=> ~ ( ( ( cR @ eigen__8 )
=> ( cS @ X1 ) )
=> ~ ( ( cS @ X1 )
=> ( cR @ eigen__8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( cP @ eigen__8 )
=> ~ ( cQ @ eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
~ ( cQ @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( cQ @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( ( cR @ eigen__10 )
=> sP6 )
=> ~ ( sP6
=> ( cR @ eigen__10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( cR @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( cP @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( cR @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( cP @ eigen__8 )
=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
~ ( cP @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $i] :
( ~ ( sP13
=> ~ ( cQ @ X1 ) )
=> ~ ( ( sP14
=> ( cS @ X1 ) )
=> ~ ( ( cS @ X1 )
=> sP14 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $i] :
( ( cQ @ X1 )
=> ( cS @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ~ sP8
=> ~ ( ( sP12
=> ( cS @ eigen__9 ) )
=> ~ ( ( cS @ eigen__9 )
=> sP12 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( cS @ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP12
=> sP20 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( sP6
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: $i] :
( ( cP @ X1 )
=> ( cR @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( cP @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( sP21
=> ~ ( sP20
=> sP12 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( cP @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( cQ @ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: $i,X2: $i] :
( ~ ( ( cP @ X1 )
=> ~ ( cQ @ X2 ) )
=> ~ ( ( ( cR @ X1 )
=> ( cS @ X2 ) )
=> ~ ( ( cS @ X2 )
=> ( cR @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( cP @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(cPELL26,conjecture,
( ~ ( ~ ( ( ~ sP16
=> ~ sP9 )
=> ~ ( ~ sP9
=> ~ sP16 ) )
=> ~ sP28 )
=> ~ ( ( sP23
=> sP18 )
=> ~ ( sP18
=> sP23 ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ( ~ sP16
=> ~ sP9 )
=> ~ ( ~ sP9
=> ~ sP16 ) )
=> ~ sP28 )
=> ~ ( ( sP23
=> sP18 )
=> ~ ( sP18
=> sP23 ) ) ),
inference(assume_negation,[status(cth)],[cPELL26]) ).
thf(h1,assumption,
~ ( ~ ( ( ~ sP16
=> ~ sP9 )
=> ~ ( ~ sP9
=> ~ sP16 ) )
=> ~ sP28 ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ( sP23
=> sP18 )
=> ~ ( sP18
=> sP23 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ( ~ sP16
=> ~ sP9 )
=> ~ ( ~ sP9
=> ~ sP16 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP28,
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ sP16
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h6,assumption,
( ~ sP9
=> ~ sP16 ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP16,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(h9,assumption,
sP9,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP16,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( sP23
=> sP18 ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( sP18
=> sP23 ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP23,
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP18,
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( sP1
=> ( cS @ eigen__0 ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
sP1,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( cS @ eigen__0 ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP9
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h16,h17,h15,h13,h14,h11,h9,h7,h5,h6,h3,h4,h1,h2,h0])],[1,h9,h16]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h11,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h15,2,h16,h17]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h11,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__0)],[h14,3,h15]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,4,h13,h14]) ).
thf(h18,assumption,
sP18,
introduced(assumption,[]) ).
thf(h19,assumption,
~ sP23,
introduced(assumption,[]) ).
thf(h20,assumption,
~ ( sP26
=> ( cR @ eigen__1 ) ),
introduced(assumption,[]) ).
thf(h21,assumption,
sP26,
introduced(assumption,[]) ).
thf(h22,assumption,
~ ( cR @ eigen__1 ),
introduced(assumption,[]) ).
thf(6,plain,
( ~ sP16
| ~ sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h21,h22,h20,h18,h19,h12,h9,h7,h5,h6,h3,h4,h1,h2,h0])],[6,h7,h21]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h18,h19,h12,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h20,7,h21,h22]) ).
thf(9,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h18,h19,h12,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h20]),tab_negall(eigenvar,eigen__1)],[h19,8,h20]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h12,9,h18,h19]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h2,5,10,h11,h12]) ).
thf(h23,assumption,
sP29,
introduced(assumption,[]) ).
thf(h24,assumption,
~ ( ( cQ @ eigen__3 )
=> ( cS @ eigen__3 ) ),
introduced(assumption,[]) ).
thf(h25,assumption,
cQ @ eigen__3,
introduced(assumption,[]) ).
thf(h26,assumption,
~ ( cS @ eigen__3 ),
introduced(assumption,[]) ).
thf(12,plain,
( ~ sP16
| ~ sP29 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h25,h26,h24,h13,h14,h11,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0])],[12,h7,h23]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h13,h14,h11,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h25,h26])],[h24,13,h25,h26]) ).
thf(15,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h11,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h24]),tab_negall(eigenvar,eigen__3)],[h14,14,h24]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,15,h13,h14]) ).
thf(h27,assumption,
~ ( ( cP @ eigen__4 )
=> ( cR @ eigen__4 ) ),
introduced(assumption,[]) ).
thf(h28,assumption,
cP @ eigen__4,
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( cR @ eigen__4 ),
introduced(assumption,[]) ).
thf(17,plain,
( ~ sP16
| ~ sP29 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h28,h29,h27,h18,h19,h12,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0])],[17,h7,h23]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h27,h18,h19,h12,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h28,h29])],[h27,18,h28,h29]) ).
thf(20,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h18,h19,h12,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__4)],[h19,19,h27]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h12,20,h18,h19]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h2,16,21,h11,h12]) ).
thf(23,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h23]),tab_negall(eigenvar,eigen__2)],[h10,22,h23]) ).
thf(24,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h6,11,23,h9,h10]) ).
thf(h30,assumption,
sP10,
introduced(assumption,[]) ).
thf(h31,assumption,
~ ( sP2
=> ( cS @ eigen__6 ) ),
introduced(assumption,[]) ).
thf(h32,assumption,
sP2,
introduced(assumption,[]) ).
thf(h33,assumption,
~ ( cS @ eigen__6 ),
introduced(assumption,[]) ).
thf(25,plain,
( ~ sP9
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h32,h33,h31,h13,h14,h11,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0])],[25,h9,h32]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h31,h13,h14,h11,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h32,h33])],[h31,26,h32,h33]) ).
thf(28,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h11,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h31]),tab_negall(eigenvar,eigen__6)],[h14,27,h31]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,28,h13,h14]) ).
thf(h34,assumption,
~ ( ( cP @ eigen__7 )
=> ( cR @ eigen__7 ) ),
introduced(assumption,[]) ).
thf(h35,assumption,
cP @ eigen__7,
introduced(assumption,[]) ).
thf(h36,assumption,
~ ( cR @ eigen__7 ),
introduced(assumption,[]) ).
thf(30,plain,
( ~ sP9
| ~ sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h35,h36,h34,h18,h19,h12,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0])],[30,h30,h9]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h34,h18,h19,h12,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h35,h36])],[h34,31,h35,h36]) ).
thf(33,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h18,h19,h12,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h34]),tab_negall(eigenvar,eigen__7)],[h19,32,h34]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h12,33,h18,h19]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h2,29,34,h11,h12]) ).
thf(h37,assumption,
sP24,
introduced(assumption,[]) ).
thf(h38,assumption,
~ ( sP27
=> sP20 ),
introduced(assumption,[]) ).
thf(h39,assumption,
sP27,
introduced(assumption,[]) ).
thf(h40,assumption,
~ sP20,
introduced(assumption,[]) ).
thf(36,plain,
( ~ sP21
| ~ sP12
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(37,plain,
( sP25
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP23
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP15
| ~ sP24
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP28
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP7
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP19
| sP8
| ~ sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP8
| ~ sP24
| ~ sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h39,h40,h38,h13,h14,h11,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0])],[36,37,38,39,40,41,42,43,h37,h4,h13,h39,h40]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h13,h14,h11,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h39,h40])],[h38,44,h39,h40]) ).
thf(46,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h11,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h38]),tab_negall(eigenvar,eigen__9)],[h14,45,h38]) ).
thf(47,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,46,h13,h14]) ).
thf(h41,assumption,
~ ( sP13
=> sP14 ),
introduced(assumption,[]) ).
thf(h42,assumption,
sP13,
introduced(assumption,[]) ).
thf(h43,assumption,
~ sP14,
introduced(assumption,[]) ).
thf(48,plain,
( ~ sP22
| ~ sP6
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( sP11
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP18
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP4
| ~ sP10
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP28
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP17
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP5
| sP3
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(55,plain,
( ~ sP3
| ~ sP13
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(56,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h42,h43,h41,h18,h19,h12,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0])],[48,49,50,51,52,53,54,55,h30,h4,h18,h42,h43]) ).
thf(57,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h41,h18,h19,h12,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h42,h43])],[h41,56,h42,h43]) ).
thf(58,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h18,h19,h12,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h41]),tab_negall(eigenvar,eigen__10)],[h19,57,h41]) ).
thf(59,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h12,58,h18,h19]) ).
thf(60,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h37,h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h2,47,59,h11,h12]) ).
thf(61,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h37]),tab_negall(eigenvar,eigen__8)],[h10,60,h37]) ).
thf(62,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h30,h8,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h6,35,61,h9,h10]) ).
thf(63,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h30]),tab_negall(eigenvar,eigen__5)],[h8,62,h30]) ).
thf(64,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,24,63,h7,h8]) ).
thf(65,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,64,h5,h6]) ).
thf(66,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,65,h3,h4]) ).
thf(67,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,66,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ( ~ sP16
=> ~ sP9 )
=> ~ ( ~ sP9
=> ~ sP16 ) )
=> ~ sP28 )
=> ~ ( ( sP23
=> sP18 )
=> ~ ( sP18
=> sP23 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[67,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN056^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 23:22:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % Mode: mode213
% 0.19/0.47 % Inferences: 701
% 0.19/0.47 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------