TSTP Solution File: GRA030^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : GRA030^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n013.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 : 300s
% DateTime : Thu Aug 31 00:03:56 EDT 2023
% Result : Theorem 1.28s 1.46s
% Output : Proof 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 458
% Syntax : Number of formulae : 483 ( 31 unt; 19 typ; 19 def)
% Number of atoms : 1790 ( 119 equ; 0 cnn)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 2476 ( 833 ~; 482 |; 0 &; 565 @)
% ( 163 <=>; 433 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 195 ( 195 >; 0 *; 0 +; 0 <<)
% Number of symbols : 187 ( 185 usr; 177 con; 0-2 aty)
% Number of variables : 131 ( 19 ^; 112 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__87,type,
eigen__87: $o ).
thf(ty_eigen__82,type,
eigen__82: $o ).
thf(ty_eigen__71,type,
eigen__71: ( $o > $o ) > $o ).
thf(ty_eigen__90,type,
eigen__90: $o ).
thf(ty_eigen__72,type,
eigen__72: ( $o > $o ) > $o ).
thf(ty_eigen__70,type,
eigen__70: $o > $o ).
thf(ty_eigen__74,type,
eigen__74: ( $o > $o ) > $o ).
thf(ty_eigen__73,type,
eigen__73: ( $o > $o ) > $o ).
thf(ty_eigen__66,type,
eigen__66: $o > $o ).
thf(ty_eigen__84,type,
eigen__84: $o ).
thf(ty_eigen__67,type,
eigen__67: $o > $o ).
thf(ty_eigen__75,type,
eigen__75: $o ).
thf(ty_eigen__69,type,
eigen__69: $o > $o ).
thf(ty_eigen__76,type,
eigen__76: $o ).
thf(ty_eigen__80,type,
eigen__80: $o ).
thf(ty_eigen__77,type,
eigen__77: $o ).
thf(ty_eigen__68,type,
eigen__68: $o > $o ).
thf(ty_eigen__78,type,
eigen__78: $o ).
thf(ty_eigen__79,type,
eigen__79: $o ).
thf(h0,assumption,
! [X1: ( ( $o > $o ) > $o ) > $o,X2: ( $o > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__71,definition,
( eigen__71
= ( eps__0
@ ^ [X1: ( $o > $o ) > $o] :
~ ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__66 )
=> ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ~ ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) )
=> ( X3 @ eigen__66 ) )
=> ( X3 @ eigen__67 ) )
=> ~ ( X3 @ eigen__68 ) )
=> ( X3 @ eigen__69 ) )
=> ( X3 @ eigen__70 ) )
=> ( X4 @ eigen__66 ) )
=> ( X4 @ eigen__67 ) )
=> ( X4 @ eigen__68 ) )
=> ~ ( X4 @ eigen__69 ) )
=> ( X4 @ eigen__70 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__71])]) ).
thf(h1,assumption,
! [X1: ( $o > $o ) > $o,X2: $o > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__1 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__68,definition,
( eigen__68
= ( eps__1
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ eigen__66 )
=> ( X4 @ eigen__67 ) )
=> ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ eigen__66 ) )
=> ~ ( X5 @ eigen__67 ) )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( X6 @ eigen__66 ) )
=> ( X6 @ eigen__67 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X7 @ eigen__66 ) )
=> ( X7 @ eigen__67 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__68])]) ).
thf(eigendef_eigen__73,definition,
( eigen__73
= ( eps__0
@ ^ [X1: ( $o > $o ) > $o] :
~ ! [X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> ( X1 @ eigen__66 ) )
=> ( X1 @ eigen__67 ) )
=> ~ ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ~ ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__73])]) ).
thf(h2,assumption,
! [X1: $o > $o,X2: $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__2 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__84,definition,
( eigen__84
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__68 @ X1 )
!= ( eigen__70 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__84])]) ).
thf(eigendef_eigen__80,definition,
( eigen__80
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__67 @ X1 )
!= ( eigen__66 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__80])]) ).
thf(eigendef_eigen__75,definition,
( eigen__75
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__69 @ X1 )
!= ( eigen__68 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__75])]) ).
thf(eigendef_eigen__69,definition,
( eigen__69
= ( eps__1
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__66 )
=> ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__66 ) )
=> ~ ( X4 @ eigen__67 ) )
=> ( X4 @ eigen__68 ) )
=> ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( X5 @ eigen__66 ) )
=> ( X5 @ eigen__67 ) )
=> ~ ( X5 @ eigen__68 ) )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X6 @ eigen__66 ) )
=> ( X6 @ eigen__67 ) )
=> ( X6 @ eigen__68 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__69])]) ).
thf(eigendef_eigen__82,definition,
( eigen__82
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__69 @ X1 )
!= ( eigen__70 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__82])]) ).
thf(eigendef_eigen__87,definition,
( eigen__87
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__67 @ X1 )
!= ( eigen__70 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__87])]) ).
thf(eigendef_eigen__77,definition,
( eigen__77
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__69 @ X1 )
!= ( eigen__66 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__77])]) ).
thf(eigendef_eigen__66,definition,
( eigen__66
= ( eps__1
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: $o > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X6 @ X1 )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( X6 @ X5 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) )
=> ( X7 @ X4 ) )
=> ( X7 @ X5 ) )
=> ( X8 @ X1 ) )
=> ( X8 @ X2 ) )
=> ~ ( X8 @ X3 ) )
=> ( X8 @ X4 ) )
=> ( X8 @ X5 ) )
=> ( X9 @ X1 ) )
=> ( X9 @ X2 ) )
=> ( X9 @ X3 ) )
=> ~ ( X9 @ X4 ) )
=> ( X9 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__66])]) ).
thf(eigendef_eigen__74,definition,
( eigen__74
= ( eps__0
@ ^ [X1: ( $o > $o ) > $o] :
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> ( eigen__73 @ eigen__66 ) )
=> ( eigen__73 @ eigen__67 ) )
=> ~ ( eigen__73 @ eigen__68 ) )
=> ( eigen__73 @ eigen__69 ) )
=> ( eigen__73 @ eigen__70 ) )
=> ( X1 @ eigen__66 ) )
=> ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ~ ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__74])]) ).
thf(eigendef_eigen__78,definition,
( eigen__78
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__68 @ X1 )
!= ( eigen__67 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__78])]) ).
thf(eigendef_eigen__67,definition,
( eigen__67
= ( eps__1
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X5 @ eigen__66 )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( X5 @ X4 ) )
=> ( X6 @ eigen__66 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( X7 @ eigen__66 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) )
=> ( X7 @ X4 ) )
=> ( X8 @ eigen__66 ) )
=> ( X8 @ X1 ) )
=> ( X8 @ X2 ) )
=> ~ ( X8 @ X3 ) )
=> ( X8 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__67])]) ).
thf(eigendef_eigen__76,definition,
( eigen__76
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__69 @ X1 )
!= ( eigen__67 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__76])]) ).
thf(eigendef_eigen__72,definition,
( eigen__72
= ( eps__0
@ ^ [X1: ( $o > $o ) > $o] :
~ ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( X1 @ eigen__66 ) )
=> ~ ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ( X2 @ eigen__67 ) )
=> ~ ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) )
=> ( X3 @ eigen__66 ) )
=> ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ~ ( X3 @ eigen__69 ) )
=> ( X3 @ eigen__70 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__72])]) ).
thf(eigendef_eigen__79,definition,
( eigen__79
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__68 @ X1 )
!= ( eigen__66 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__79])]) ).
thf(eigendef_eigen__90,definition,
( eigen__90
= ( eps__2
@ ^ [X1: $o] :
( ( eigen__66 @ X1 )
!= ( eigen__70 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__90])]) ).
thf(eigendef_eigen__70,definition,
( eigen__70
= ( eps__1
@ ^ [X1: $o > $o] :
~ ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__66 )
=> ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__66 ) )
=> ~ ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ( X3 @ eigen__69 ) )
=> ( X3 @ X1 ) )
=> ( X4 @ eigen__66 ) )
=> ( X4 @ eigen__67 ) )
=> ~ ( X4 @ eigen__68 ) )
=> ( X4 @ eigen__69 ) )
=> ( X4 @ X1 ) )
=> ( X5 @ eigen__66 ) )
=> ( X5 @ eigen__67 ) )
=> ( X5 @ eigen__68 ) )
=> ~ ( X5 @ eigen__69 ) )
=> ( X5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__70])]) ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> ( eigen__73 @ eigen__66 ) )
=> ( eigen__73 @ eigen__67 ) )
=> ~ ( eigen__73 @ eigen__68 ) )
=> ( eigen__73 @ eigen__69 ) )
=> ( eigen__73 @ eigen__70 ) )
=> ( eigen__74 @ eigen__66 ) )
=> ( eigen__74 @ eigen__67 ) )
=> ( eigen__74 @ eigen__68 ) )
=> ~ ( eigen__74 @ eigen__69 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__68 = eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__75 = eigen__78 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__73 @ eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__87 = eigen__82 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> sP4 )
=> ( eigen__73 @ eigen__67 ) )
=> ~ ( eigen__73 @ eigen__68 ) )
=> ( eigen__73 @ eigen__69 ) )
=> ( eigen__73 @ eigen__70 ) )
=> ( eigen__74 @ eigen__66 ) )
=> ( eigen__74 @ eigen__67 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> sP4 )
=> ( eigen__73 @ eigen__67 ) )
=> ~ ( eigen__73 @ eigen__68 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: ( $o > $o ) > $o,X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) )
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) )
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) )
=> ( eigen__72 @ eigen__69 ) )
=> ( eigen__72 @ eigen__70 ) )
=> ( X1 @ eigen__66 ) )
=> ( X1 @ eigen__67 ) )
=> ~ ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ~ ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ sP7
=> ( eigen__73 @ eigen__69 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( eigen__77 = eigen__82 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> eigen__79 ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $o] :
( ( eigen__69 @ X1 )
= ( eigen__68 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( eigen__69 @ eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $o] :
( ( eigen__68 @ X1 )
= ( eigen__70 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( eigen__66 @ eigen__80 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> eigen__77 ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( eigen__90 = eigen__82 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> eigen__80 ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( eigen__71 @ eigen__66 )
=> ( eigen__71 @ eigen__67 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( eigen__67 @ eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( eigen__90 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( eigen__67 @ sP18 )
= sP15 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( eigen__84 = eigen__78 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( eigen__67 @ sP18 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eigen__69 = eigen__68 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ( eigen__69 @ eigen__82 )
= ( eigen__70 @ eigen__82 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( eigen__70 @ eigen__90 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( eigen__74 @ eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( sP11 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( eigen__75 = eigen__84 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> eigen__87 ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ ( ~ sP19
=> ( eigen__71 @ eigen__68 ) )
=> ( eigen__71 @ eigen__69 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( eigen__78 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP31 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $o] :
( ( eigen__69 @ X1 )
= ( eigen__67 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( eigen__90 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ! [X1: ( $o > $o ) > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__66 )
=> ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ~ ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) )
=> ( X3 @ eigen__66 ) )
=> ( X3 @ eigen__67 ) )
=> ~ ( X3 @ eigen__68 ) )
=> ( X3 @ eigen__69 ) )
=> ( X3 @ eigen__70 ) )
=> ( X4 @ eigen__66 ) )
=> ( X4 @ eigen__67 ) )
=> ( X4 @ eigen__68 ) )
=> ~ ( X4 @ eigen__69 ) )
=> ( X4 @ eigen__70 ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( eigen__75 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( sP16 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ~ ( ~ ( ~ ( ~ sP32
=> ( eigen__71 @ eigen__70 ) )
=> ( eigen__72 @ eigen__66 ) )
=> ~ ( eigen__72 @ eigen__67 ) )
=> ( eigen__72 @ eigen__68 ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( eigen__66 @ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( eigen__75 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ~ ( ~ sP9
=> ( eigen__73 @ eigen__70 ) )
=> sP28 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ( eigen__68 @ sP11 )
= ( eigen__66 @ sP11 ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ! [X1: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP9
=> ( eigen__73 @ eigen__70 ) )
=> ( X1 @ eigen__66 ) )
=> ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ~ ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( ( eigen__66 @ eigen__90 )
= sP27 ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( eigen__69 = eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ! [X1: $o > $o,X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__66 )
=> ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__66 ) )
=> ~ ( X4 @ eigen__67 ) )
=> ( X4 @ eigen__68 ) )
=> ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( X5 @ eigen__66 ) )
=> ( X5 @ eigen__67 ) )
=> ~ ( X5 @ eigen__68 ) )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X6 @ eigen__66 ) )
=> ( X6 @ eigen__67 ) )
=> ( X6 @ eigen__68 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( eigen__68 @ eigen__84 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $o > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__66 )
=> ( X2 @ eigen__67 ) )
=> ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__66 ) )
=> ~ ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ( X3 @ eigen__69 ) )
=> ( X3 @ X1 ) )
=> ( X4 @ eigen__66 ) )
=> ( X4 @ eigen__67 ) )
=> ~ ( X4 @ eigen__68 ) )
=> ( X4 @ eigen__69 ) )
=> ( X4 @ X1 ) )
=> ( X5 @ eigen__66 ) )
=> ( X5 @ eigen__67 ) )
=> ( X5 @ eigen__68 ) )
=> ~ ( X5 @ eigen__69 ) )
=> ( X5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ sP9
=> ( eigen__73 @ eigen__70 ) ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( eigen__82 = eigen__75 ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( eigen__69 @ eigen__82 ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( sP11 = eigen__90 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( sP31 = eigen__90 ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( eigen__82 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( sP11 = eigen__78 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> eigen__84 ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( eigen__75 = eigen__82 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( sP11 = sP58 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( ~ sP6
=> ( eigen__74 @ eigen__68 ) ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> eigen__82 ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( sP16 = eigen__90 ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( eigen__66 @ eigen__90 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ~ sP40
=> ( eigen__72 @ eigen__69 ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( eigen__71 @ eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( sP62 = sP58 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ! [X1: $o] :
( ( eigen__69 @ X1 )
= ( eigen__66 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( eigen__78 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> eigen__78 ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( sP16 = eigen__75 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( sP18 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( eigen__73 @ eigen__68 ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( ( eigen__67 @ sP31 )
= ( eigen__70 @ sP31 ) ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( eigen__73 @ eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( eigen__69 = eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( eigen__72 @ eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( eigen__90 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> ( ~ ( ~ ( ~ sP65
=> ( eigen__72 @ eigen__70 ) )
=> sP4 )
=> sP75 ) ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ( eigen__67 = eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ( sP18 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ( sP62 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ( sP13 = sP20 ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> eigen__75 ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( eigen__74 @ eigen__68 ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(sP86,plain,
( sP86
<=> ( eigen__69 = eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP86])]) ).
thf(sP87,plain,
( sP87
<=> ( eigen__76 = sP70 ) ),
introduced(definition,[new_symbols(definition,[sP87])]) ).
thf(sP88,plain,
( sP88
<=> ( sP84 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP88])]) ).
thf(sP89,plain,
( sP89
<=> ( eigen__76 = sP84 ) ),
introduced(definition,[new_symbols(definition,[sP89])]) ).
thf(sP90,plain,
( sP90
<=> eigen__90 ),
introduced(definition,[new_symbols(definition,[sP90])]) ).
thf(sP91,plain,
( sP91
<=> ! [X1: $o] :
( ( eigen__67 @ X1 )
= ( eigen__70 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP91])]) ).
thf(sP92,plain,
( sP92
<=> ! [X1: $o] :
( ( eigen__68 @ X1 )
= ( eigen__67 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP92])]) ).
thf(sP93,plain,
( sP93
<=> ! [X1: $o] :
( ( eigen__67 @ X1 )
= ( eigen__66 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP93])]) ).
thf(sP94,plain,
( sP94
<=> ( sP18 = sP70 ) ),
introduced(definition,[new_symbols(definition,[sP94])]) ).
thf(sP95,plain,
( sP95
<=> ( sP31 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP95])]) ).
thf(sP96,plain,
( sP96
<=> ( sP70 = sP58 ) ),
introduced(definition,[new_symbols(definition,[sP96])]) ).
thf(sP97,plain,
( sP97
<=> ( eigen__74 @ eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP97])]) ).
thf(sP98,plain,
( sP98
<=> ( ~ sP19
=> ( eigen__71 @ eigen__68 ) ) ),
introduced(definition,[new_symbols(definition,[sP98])]) ).
thf(sP99,plain,
( sP99
<=> ( ( eigen__69 @ sP84 )
= ( eigen__68 @ sP84 ) ) ),
introduced(definition,[new_symbols(definition,[sP99])]) ).
thf(sP100,plain,
( sP100
<=> ( eigen__76 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP100])]) ).
thf(sP101,plain,
( sP101
<=> ( eigen__66 = eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP101])]) ).
thf(sP102,plain,
( sP102
<=> ( eigen__69 @ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP102])]) ).
thf(sP103,plain,
( sP103
<=> ( eigen__70 @ sP58 ) ),
introduced(definition,[new_symbols(definition,[sP103])]) ).
thf(sP104,plain,
( sP104
<=> ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X5 @ eigen__66 )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( X5 @ X4 ) )
=> ( X6 @ eigen__66 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( X7 @ eigen__66 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) )
=> ( X7 @ X4 ) )
=> ( X8 @ eigen__66 ) )
=> ( X8 @ X1 ) )
=> ( X8 @ X2 ) )
=> ~ ( X8 @ X3 ) )
=> ( X8 @ X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP104])]) ).
thf(sP105,plain,
( sP105
<=> ( sP18 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP105])]) ).
thf(sP106,plain,
( sP106
<=> ( eigen__71 @ eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP106])]) ).
thf(sP107,plain,
( sP107
<=> ( sP18 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP107])]) ).
thf(sP108,plain,
( sP108
<=> ( sP70 = sP84 ) ),
introduced(definition,[new_symbols(definition,[sP108])]) ).
thf(sP109,plain,
( sP109
<=> ( sP70 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP109])]) ).
thf(sP110,plain,
( sP110
<=> ( sP62 = sP90 ) ),
introduced(definition,[new_symbols(definition,[sP110])]) ).
thf(sP111,plain,
( sP111
<=> ( sP16 = eigen__76 ) ),
introduced(definition,[new_symbols(definition,[sP111])]) ).
thf(sP112,plain,
( sP112
<=> ( eigen__68 = eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP112])]) ).
thf(sP113,plain,
( sP113
<=> ! [X1: ( $o > $o ) > ( $o > $o ) > $o] :
( ~ ( ! [X2: $o > $o,X3: $o > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
=> ~ ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ~ ( ( X4 @ X2 )
=> ( X4 @ X3 ) )
=> ~ ( X1 @ X3 @ X2 ) ) )
=> ~ ! [X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: $o > $o,X6: $o > $o,X7: ( $o > $o ) > $o,X8: ( $o > $o ) > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X7 @ X2 )
=> ( X7 @ X3 ) )
=> ( X7 @ X4 ) )
=> ( X7 @ X5 ) )
=> ( X7 @ X6 ) )
=> ( X8 @ X2 ) )
=> ~ ( X8 @ X3 ) )
=> ( X8 @ X4 ) )
=> ( X8 @ X5 ) )
=> ( X8 @ X6 ) )
=> ( X9 @ X2 ) )
=> ( X9 @ X3 ) )
=> ~ ( X9 @ X4 ) )
=> ( X9 @ X5 ) )
=> ( X9 @ X6 ) )
=> ( X10 @ X2 ) )
=> ( X10 @ X3 ) )
=> ( X10 @ X4 ) )
=> ~ ( X10 @ X5 ) )
=> ( X10 @ X6 ) )
=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( X1 @ X3 @ X2 )
=> ( X1 @ X4 @ X2 ) )
=> ( X1 @ X4 @ X3 ) )
=> ( X1 @ X5 @ X2 ) )
=> ( X1 @ X5 @ X3 ) )
=> ( X1 @ X5 @ X4 ) )
=> ( X1 @ X6 @ X2 ) )
=> ( X1 @ X6 @ X3 ) )
=> ( X1 @ X6 @ X4 ) )
=> ( X1 @ X6 @ X5 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP113])]) ).
thf(sP114,plain,
( sP114
<=> ! [X1: ( $o > $o ) > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP32
=> sP66 )
=> ( X1 @ eigen__66 ) )
=> ~ ( X1 @ eigen__67 ) )
=> ( X1 @ eigen__68 ) )
=> ( X1 @ eigen__69 ) )
=> ( X1 @ eigen__70 ) )
=> ( X2 @ eigen__66 ) )
=> ( X2 @ eigen__67 ) )
=> ~ ( X2 @ eigen__68 ) )
=> ( X2 @ eigen__69 ) )
=> ( X2 @ eigen__70 ) )
=> ( X3 @ eigen__66 ) )
=> ( X3 @ eigen__67 ) )
=> ( X3 @ eigen__68 ) )
=> ~ ( X3 @ eigen__69 ) )
=> ( X3 @ eigen__70 ) ) ),
introduced(definition,[new_symbols(definition,[sP114])]) ).
thf(sP115,plain,
( sP115
<=> ( eigen__74 @ eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP115])]) ).
thf(sP116,plain,
( sP116
<=> eigen__76 ),
introduced(definition,[new_symbols(definition,[sP116])]) ).
thf(sP117,plain,
( sP117
<=> ( sP90 = sP58 ) ),
introduced(definition,[new_symbols(definition,[sP117])]) ).
thf(sP118,plain,
( sP118
<=> ( eigen__69 @ sP84 ) ),
introduced(definition,[new_symbols(definition,[sP118])]) ).
thf(sP119,plain,
( sP119
<=> ( ~ sP32
=> sP66 ) ),
introduced(definition,[new_symbols(definition,[sP119])]) ).
thf(sP120,plain,
( sP120
<=> ( eigen__67 = eigen__66 ) ),
introduced(definition,[new_symbols(definition,[sP120])]) ).
thf(sP121,plain,
( sP121
<=> ( eigen__72 @ eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP121])]) ).
thf(sP122,plain,
( sP122
<=> ( ~ ( ~ sP119
=> sP77 )
=> ~ ( eigen__72 @ eigen__67 ) ) ),
introduced(definition,[new_symbols(definition,[sP122])]) ).
thf(sP123,plain,
( sP123
<=> ( sP18 = sP90 ) ),
introduced(definition,[new_symbols(definition,[sP123])]) ).
thf(sP124,plain,
( sP124
<=> ( sP90 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP124])]) ).
thf(sP125,plain,
( sP125
<=> ( sP49 = sP103 ) ),
introduced(definition,[new_symbols(definition,[sP125])]) ).
thf(sP126,plain,
( sP126
<=> ( eigen__68 @ sP84 ) ),
introduced(definition,[new_symbols(definition,[sP126])]) ).
thf(sP127,plain,
( sP127
<=> ( sP31 = sP70 ) ),
introduced(definition,[new_symbols(definition,[sP127])]) ).
thf(sP128,plain,
( sP128
<=> ( sP11 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP128])]) ).
thf(sP129,plain,
( sP129
<=> ( sP70 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP129])]) ).
thf(sP130,plain,
( sP130
<=> ( sP58 = sP90 ) ),
introduced(definition,[new_symbols(definition,[sP130])]) ).
thf(sP131,plain,
( sP131
<=> ( eigen__74 @ eigen__69 ) ),
introduced(definition,[new_symbols(definition,[sP131])]) ).
thf(sP132,plain,
( sP132
<=> ( eigen__73 @ eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP132])]) ).
thf(sP133,plain,
( sP133
<=> ( sP102 = sP41 ) ),
introduced(definition,[new_symbols(definition,[sP133])]) ).
thf(sP134,plain,
( sP134
<=> ( sP58 = sP84 ) ),
introduced(definition,[new_symbols(definition,[sP134])]) ).
thf(sP135,plain,
( sP135
<=> ( ~ sP119
=> sP77 ) ),
introduced(definition,[new_symbols(definition,[sP135])]) ).
thf(sP136,plain,
( sP136
<=> ! [X1: $o] :
( ( eigen__68 @ X1 )
= ( eigen__66 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP136])]) ).
thf(sP137,plain,
( sP137
<=> ( eigen__68 = eigen__70 ) ),
introduced(definition,[new_symbols(definition,[sP137])]) ).
thf(sP138,plain,
( sP138
<=> ( sP58 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP138])]) ).
thf(sP139,plain,
( sP139
<=> ( ~ sP65
=> sP121 ) ),
introduced(definition,[new_symbols(definition,[sP139])]) ).
thf(sP140,plain,
( sP140
<=> ! [X1: $o] :
( ( eigen__66 @ X1 )
= ( eigen__70 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP140])]) ).
thf(sP141,plain,
( sP141
<=> ( eigen__67 @ sP70 ) ),
introduced(definition,[new_symbols(definition,[sP141])]) ).
thf(sP142,plain,
( sP142
<=> ( sP62 = sP31 ) ),
introduced(definition,[new_symbols(definition,[sP142])]) ).
thf(sP143,plain,
( sP143
<=> ( sP11 = sP84 ) ),
introduced(definition,[new_symbols(definition,[sP143])]) ).
thf(sP144,plain,
( sP144
<=> ( eigen__70 @ sP31 ) ),
introduced(definition,[new_symbols(definition,[sP144])]) ).
thf(sP145,plain,
( sP145
<=> ( eigen__72 @ eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP145])]) ).
thf(sP146,plain,
( sP146
<=> ( eigen__66 @ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP146])]) ).
thf(sP147,plain,
( sP147
<=> ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ eigen__66 )
=> ( X4 @ eigen__67 ) )
=> ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ eigen__66 ) )
=> ~ ( X5 @ eigen__67 ) )
=> ( X5 @ X1 ) )
=> ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( X6 @ eigen__66 ) )
=> ( X6 @ eigen__67 ) )
=> ~ ( X6 @ X1 ) )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X7 @ eigen__66 ) )
=> ( X7 @ eigen__67 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP147])]) ).
thf(sP148,plain,
( sP148
<=> ( sP58 = sP62 ) ),
introduced(definition,[new_symbols(definition,[sP148])]) ).
thf(sP149,plain,
( sP149
<=> ( sP31 = sP58 ) ),
introduced(definition,[new_symbols(definition,[sP149])]) ).
thf(sP150,plain,
( sP150
<=> ( ( eigen__68 @ sP70 )
= sP141 ) ),
introduced(definition,[new_symbols(definition,[sP150])]) ).
thf(sP151,plain,
( sP151
<=> ( sP116 = sP16 ) ),
introduced(definition,[new_symbols(definition,[sP151])]) ).
thf(sP152,plain,
( sP152
<=> ( sP116 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP152])]) ).
thf(sP153,plain,
( sP153
<=> ( sP16 = sP18 ) ),
introduced(definition,[new_symbols(definition,[sP153])]) ).
thf(sP154,plain,
( sP154
<=> ( eigen__68 @ sP70 ) ),
introduced(definition,[new_symbols(definition,[sP154])]) ).
thf(sP155,plain,
( sP155
<=> ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: $o > $o,X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( X6 @ X1 )
=> ( X6 @ X2 ) )
=> ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( X6 @ X5 ) )
=> ( X7 @ X1 ) )
=> ~ ( X7 @ X2 ) )
=> ( X7 @ X3 ) )
=> ( X7 @ X4 ) )
=> ( X7 @ X5 ) )
=> ( X8 @ X1 ) )
=> ( X8 @ X2 ) )
=> ~ ( X8 @ X3 ) )
=> ( X8 @ X4 ) )
=> ( X8 @ X5 ) )
=> ( X9 @ X1 ) )
=> ( X9 @ X2 ) )
=> ( X9 @ X3 ) )
=> ~ ( X9 @ X4 ) )
=> ( X9 @ X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP155])]) ).
thf(sP156,plain,
( sP156
<=> ( eigen__70 @ sP62 ) ),
introduced(definition,[new_symbols(definition,[sP156])]) ).
thf(sP157,plain,
( sP157
<=> ( sP116 = sP62 ) ),
introduced(definition,[new_symbols(definition,[sP157])]) ).
thf(sP158,plain,
( sP158
<=> ( ~ sP1
=> sP97 ) ),
introduced(definition,[new_symbols(definition,[sP158])]) ).
thf(sP159,plain,
( sP159
<=> ! [X1: $o] :
( ( eigen__69 @ X1 )
= ( eigen__70 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP159])]) ).
thf(sP160,plain,
( sP160
<=> ( eigen__68 @ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP160])]) ).
thf(sP161,plain,
( sP161
<=> ( sP58 = sP11 ) ),
introduced(definition,[new_symbols(definition,[sP161])]) ).
thf(sP162,plain,
( sP162
<=> ( ~ sP139
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP162])]) ).
thf(sP163,plain,
( sP163
<=> ( eigen__67 @ sP31 ) ),
introduced(definition,[new_symbols(definition,[sP163])]) ).
thf(ramsey_l_2_5_4,conjecture,
~ sP113 ).
thf(h3,negated_conjecture,
sP113,
inference(assume_negation,[status(cth)],[ramsey_l_2_5_4]) ).
thf(1,plain,
( sP17
| ~ sP90
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP17
| sP90
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP117
| ~ sP90
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP117
| sP90
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP124
| ~ sP90
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP124
| sP90
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP27
| sP156
| ~ sP17 ),
inference(mating_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP27
| sP103
| ~ sP117 ),
inference(mating_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP27
| sP144
| ~ sP124 ),
inference(mating_rule,[status(thm)],]) ).
thf(10,plain,
( sP36
| ~ sP90
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( sP36
| sP90
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP78
| ~ sP90
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( sP78
| sP90
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( sP21
| ~ sP90
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP21
| sP90
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP64
| sP41
| ~ sP36 ),
inference(mating_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP64
| sP146
| ~ sP78 ),
inference(mating_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP64
| sP15
| ~ sP21 ),
inference(mating_rule,[status(thm)],]) ).
thf(19,plain,
( sP5
| ~ sP31
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP5
| sP31
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( sP149
| ~ sP31
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( sP149
| sP31
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP144
| sP156
| ~ sP5 ),
inference(mating_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP144
| sP103
| ~ sP149 ),
inference(mating_rule,[status(thm)],]) ).
thf(25,plain,
( sP34
| ~ sP31
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( sP34
| sP31
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( sP127
| ~ sP31
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(28,plain,
( sP127
| sP31
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( sP95
| ~ sP31
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( sP95
| sP31
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP163
| sP20
| ~ sP34 ),
inference(mating_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP163
| sP141
| ~ sP127 ),
inference(mating_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP163
| sP24
| ~ sP95 ),
inference(mating_rule,[status(thm)],]) ).
thf(34,plain,
( sP148
| ~ sP58
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( sP148
| sP58
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP103
| sP156
| ~ sP148 ),
inference(mating_rule,[status(thm)],]) ).
thf(37,plain,
( sP134
| ~ sP58
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( sP134
| sP58
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP23
| ~ sP58
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP23
| sP58
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( sP161
| ~ sP58
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( sP161
| sP58
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP49
| sP126
| ~ sP134 ),
inference(mating_rule,[status(thm)],]) ).
thf(44,plain,
( ~ sP49
| sP154
| ~ sP23 ),
inference(mating_rule,[status(thm)],]) ).
thf(45,plain,
( ~ sP49
| sP160
| ~ sP161 ),
inference(mating_rule,[status(thm)],]) ).
thf(46,plain,
( sP52
| ~ sP62
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( sP52
| sP62
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( sP56
| ~ sP62
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( sP56
| sP62
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( sP82
| ~ sP62
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( sP82
| sP62
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP53
| sP118
| ~ sP52 ),
inference(mating_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP53
| sP13
| ~ sP56 ),
inference(mating_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP53
| sP102
| ~ sP82 ),
inference(mating_rule,[status(thm)],]) ).
thf(55,plain,
( sP107
| ~ sP18
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(56,plain,
( sP107
| sP18
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( sP105
| ~ sP18
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( sP105
| sP18
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP15
| sP41
| ~ sP107 ),
inference(mating_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP15
| sP146
| ~ sP105 ),
inference(mating_rule,[status(thm)],]) ).
thf(61,plain,
( sP72
| ~ sP18
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( sP72
| sP18
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( sP94
| ~ sP18
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( sP94
| sP18
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP24
| sP20
| ~ sP72 ),
inference(mating_rule,[status(thm)],]) ).
thf(66,plain,
( ~ sP24
| sP141
| ~ sP94 ),
inference(mating_rule,[status(thm)],]) ).
thf(67,plain,
( sP128
| ~ sP11
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(68,plain,
( sP128
| sP11
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(69,plain,
( ~ sP146
| sP41
| ~ sP128 ),
inference(mating_rule,[status(thm)],]) ).
thf(70,plain,
( sP143
| ~ sP11
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( sP143
| sP11
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( sP57
| ~ sP11
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( sP57
| sP11
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP160
| sP126
| ~ sP143 ),
inference(mating_rule,[status(thm)],]) ).
thf(75,plain,
( ~ sP160
| sP154
| ~ sP57 ),
inference(mating_rule,[status(thm)],]) ).
thf(76,plain,
( sP109
| ~ sP70
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(77,plain,
( sP109
| sP70
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(78,plain,
( ~ sP141
| sP20
| ~ sP109 ),
inference(mating_rule,[status(thm)],]) ).
thf(79,plain,
( sP108
| ~ sP70
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(80,plain,
( sP108
| sP70
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(81,plain,
( ~ sP154
| sP126
| ~ sP108 ),
inference(mating_rule,[status(thm)],]) ).
thf(82,plain,
( sP71
| ~ sP16
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(83,plain,
( sP71
| sP16
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(84,plain,
( sP111
| ~ sP16
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(85,plain,
( sP111
| sP16
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(86,plain,
( ~ sP102
| sP118
| ~ sP71 ),
inference(mating_rule,[status(thm)],]) ).
thf(87,plain,
( ~ sP102
| sP13
| ~ sP111 ),
inference(mating_rule,[status(thm)],]) ).
thf(88,plain,
( sP89
| ~ sP116
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(89,plain,
( sP89
| sP116
| sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(90,plain,
( ~ sP13
| sP118
| ~ sP89 ),
inference(mating_rule,[status(thm)],]) ).
thf(91,plain,
( sP110
| ~ sP62
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(92,plain,
( sP110
| sP62
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(93,plain,
( sP130
| ~ sP58
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(94,plain,
( sP130
| sP58
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(95,plain,
( sP55
| ~ sP31
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(96,plain,
( sP55
| sP31
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(97,plain,
( ~ sP156
| sP27
| ~ sP110 ),
inference(mating_rule,[status(thm)],]) ).
thf(98,plain,
( ~ sP103
| sP27
| ~ sP130 ),
inference(mating_rule,[status(thm)],]) ).
thf(99,plain,
( ~ sP144
| sP27
| ~ sP55 ),
inference(mating_rule,[status(thm)],]) ).
thf(100,plain,
( sP63
| ~ sP16
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(101,plain,
( sP63
| sP16
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(102,plain,
( sP54
| ~ sP11
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(103,plain,
( sP54
| sP11
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(104,plain,
( sP123
| ~ sP18
| ~ sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(105,plain,
( sP123
| sP18
| sP90 ),
inference(prop_rule,[status(thm)],]) ).
thf(106,plain,
( ~ sP41
| sP64
| ~ sP63 ),
inference(mating_rule,[status(thm)],]) ).
thf(107,plain,
( ~ sP146
| sP64
| ~ sP54 ),
inference(mating_rule,[status(thm)],]) ).
thf(108,plain,
( ~ sP15
| sP64
| ~ sP123 ),
inference(mating_rule,[status(thm)],]) ).
thf(109,plain,
( sP46
| ~ sP64
| ~ sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(110,plain,
( sP46
| sP64
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(111,plain,
( sP140
| ~ sP46 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__90]) ).
thf(112,plain,
( sP101
| ~ sP140 ),
inference(prop_rule,[status(thm)],]) ).
thf(113,plain,
( ~ sP106
| sP66
| ~ sP101 ),
inference(mating_rule,[status(thm)],]) ).
thf(114,plain,
( sP142
| ~ sP62
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(115,plain,
( sP142
| sP62
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(116,plain,
( sP138
| ~ sP58
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(117,plain,
( sP138
| sP58
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(118,plain,
( ~ sP156
| sP144
| ~ sP142 ),
inference(mating_rule,[status(thm)],]) ).
thf(119,plain,
( ~ sP103
| sP144
| ~ sP138 ),
inference(mating_rule,[status(thm)],]) ).
thf(120,plain,
( sP100
| ~ sP116
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(121,plain,
( sP100
| sP116
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(122,plain,
( sP33
| ~ sP70
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(123,plain,
( sP33
| sP70
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(124,plain,
( sP81
| ~ sP18
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(125,plain,
( sP81
| sP18
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(126,plain,
( ~ sP20
| sP163
| ~ sP100 ),
inference(mating_rule,[status(thm)],]) ).
thf(127,plain,
( ~ sP141
| sP163
| ~ sP33 ),
inference(mating_rule,[status(thm)],]) ).
thf(128,plain,
( ~ sP24
| sP163
| ~ sP81 ),
inference(mating_rule,[status(thm)],]) ).
thf(129,plain,
( sP74
| ~ sP163
| ~ sP144 ),
inference(prop_rule,[status(thm)],]) ).
thf(130,plain,
( sP74
| sP163
| sP144 ),
inference(prop_rule,[status(thm)],]) ).
thf(131,plain,
( sP91
| ~ sP74 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__87]) ).
thf(132,plain,
( sP80
| ~ sP91 ),
inference(prop_rule,[status(thm)],]) ).
thf(133,plain,
( ~ sP145
| sP121
| ~ sP80 ),
inference(mating_rule,[status(thm)],]) ).
thf(134,plain,
( sP67
| ~ sP62
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(135,plain,
( sP67
| sP62
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(136,plain,
( ~ sP156
| sP103
| ~ sP67 ),
inference(mating_rule,[status(thm)],]) ).
thf(137,plain,
( sP30
| ~ sP84
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(138,plain,
( sP30
| sP84
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(139,plain,
( sP96
| ~ sP70
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(140,plain,
( sP96
| sP70
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(141,plain,
( sP60
| ~ sP11
| ~ sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(142,plain,
( sP60
| sP11
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(143,plain,
( ~ sP126
| sP49
| ~ sP30 ),
inference(mating_rule,[status(thm)],]) ).
thf(144,plain,
( ~ sP154
| sP49
| ~ sP96 ),
inference(mating_rule,[status(thm)],]) ).
thf(145,plain,
( ~ sP160
| sP49
| ~ sP60 ),
inference(mating_rule,[status(thm)],]) ).
thf(146,plain,
( sP125
| ~ sP49
| ~ sP103 ),
inference(prop_rule,[status(thm)],]) ).
thf(147,plain,
( sP125
| sP49
| sP103 ),
inference(prop_rule,[status(thm)],]) ).
thf(148,plain,
( sP14
| ~ sP125 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__84]) ).
thf(149,plain,
( sP137
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(150,plain,
( ~ sP73
| sP132
| ~ sP137 ),
inference(mating_rule,[status(thm)],]) ).
thf(151,plain,
( sP59
| ~ sP84
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(152,plain,
( sP59
| sP84
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(153,plain,
( sP157
| ~ sP116
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(154,plain,
( sP157
| sP116
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(155,plain,
( sP10
| ~ sP16
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(156,plain,
( sP10
| sP16
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(157,plain,
( ~ sP118
| sP53
| ~ sP59 ),
inference(mating_rule,[status(thm)],]) ).
thf(158,plain,
( ~ sP13
| sP53
| ~ sP157 ),
inference(mating_rule,[status(thm)],]) ).
thf(159,plain,
( ~ sP102
| sP53
| ~ sP10 ),
inference(mating_rule,[status(thm)],]) ).
thf(160,plain,
( sP26
| ~ sP53
| ~ sP156 ),
inference(prop_rule,[status(thm)],]) ).
thf(161,plain,
( sP26
| sP53
| sP156 ),
inference(prop_rule,[status(thm)],]) ).
thf(162,plain,
( sP159
| ~ sP26 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__82]) ).
thf(163,plain,
( sP76
| ~ sP159 ),
inference(prop_rule,[status(thm)],]) ).
thf(164,plain,
( ~ sP131
| sP97
| ~ sP76 ),
inference(mating_rule,[status(thm)],]) ).
thf(165,plain,
( sP153
| ~ sP16
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(166,plain,
( sP153
| sP16
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(167,plain,
( sP29
| ~ sP11
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(168,plain,
( sP29
| sP11
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(169,plain,
( ~ sP41
| sP15
| ~ sP153 ),
inference(mating_rule,[status(thm)],]) ).
thf(170,plain,
( ~ sP146
| sP15
| ~ sP29 ),
inference(mating_rule,[status(thm)],]) ).
thf(171,plain,
( sP152
| ~ sP116
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(172,plain,
( sP152
| sP116
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(173,plain,
( sP129
| ~ sP70
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(174,plain,
( sP129
| sP70
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(175,plain,
( ~ sP20
| sP24
| ~ sP152 ),
inference(mating_rule,[status(thm)],]) ).
thf(176,plain,
( ~ sP141
| sP24
| ~ sP129 ),
inference(mating_rule,[status(thm)],]) ).
thf(177,plain,
( sP39
| ~ sP16
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(178,plain,
( sP39
| sP16
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(179,plain,
( ~ sP41
| sP146
| ~ sP39 ),
inference(mating_rule,[status(thm)],]) ).
thf(180,plain,
( sP42
| ~ sP84
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(181,plain,
( sP42
| sP84
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(182,plain,
( sP69
| ~ sP70
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(183,plain,
( sP69
| sP70
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(184,plain,
( ~ sP126
| sP160
| ~ sP42 ),
inference(mating_rule,[status(thm)],]) ).
thf(185,plain,
( ~ sP154
| sP160
| ~ sP69 ),
inference(mating_rule,[status(thm)],]) ).
thf(186,plain,
( sP87
| ~ sP116
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(187,plain,
( sP87
| sP116
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(188,plain,
( ~ sP20
| sP141
| ~ sP87 ),
inference(mating_rule,[status(thm)],]) ).
thf(189,plain,
( sP3
| ~ sP84
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(190,plain,
( sP3
| sP84
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(191,plain,
( ~ sP126
| sP154
| ~ sP3 ),
inference(mating_rule,[status(thm)],]) ).
thf(192,plain,
( sP38
| ~ sP84
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(193,plain,
( sP38
| sP84
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(194,plain,
( sP151
| ~ sP116
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(195,plain,
( sP151
| sP116
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(196,plain,
( ~ sP118
| sP102
| ~ sP38 ),
inference(mating_rule,[status(thm)],]) ).
thf(197,plain,
( ~ sP13
| sP102
| ~ sP151 ),
inference(mating_rule,[status(thm)],]) ).
thf(198,plain,
( sP88
| ~ sP84
| ~ sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(199,plain,
( sP88
| sP84
| sP116 ),
inference(prop_rule,[status(thm)],]) ).
thf(200,plain,
( ~ sP118
| sP13
| ~ sP88 ),
inference(mating_rule,[status(thm)],]) ).
thf(201,plain,
( sP22
| ~ sP24
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(202,plain,
( sP22
| sP24
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(203,plain,
( sP93
| ~ sP22 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__80]) ).
thf(204,plain,
( sP120
| ~ sP93 ),
inference(prop_rule,[status(thm)],]) ).
thf(205,plain,
( ~ sP145
| sP77
| ~ sP120 ),
inference(mating_rule,[status(thm)],]) ).
thf(206,plain,
( sP44
| ~ sP160
| ~ sP146 ),
inference(prop_rule,[status(thm)],]) ).
thf(207,plain,
( sP44
| sP160
| sP146 ),
inference(prop_rule,[status(thm)],]) ).
thf(208,plain,
( sP136
| ~ sP44 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__79]) ).
thf(209,plain,
( sP2
| ~ sP136 ),
inference(prop_rule,[status(thm)],]) ).
thf(210,plain,
( ~ sP73
| sP4
| ~ sP2 ),
inference(mating_rule,[status(thm)],]) ).
thf(211,plain,
( sP150
| ~ sP154
| ~ sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(212,plain,
( sP150
| sP154
| sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(213,plain,
( sP92
| ~ sP150 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__78]) ).
thf(214,plain,
( sP112
| ~ sP92 ),
inference(prop_rule,[status(thm)],]) ).
thf(215,plain,
( ~ sP73
| sP75
| ~ sP112 ),
inference(mating_rule,[status(thm)],]) ).
thf(216,plain,
( sP133
| ~ sP102
| ~ sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(217,plain,
( sP133
| sP102
| sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(218,plain,
( sP68
| ~ sP133 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__77]) ).
thf(219,plain,
( sP47
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(220,plain,
( ~ sP131
| sP28
| ~ sP47 ),
inference(mating_rule,[status(thm)],]) ).
thf(221,plain,
( sP83
| ~ sP13
| ~ sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(222,plain,
( sP83
| sP13
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(223,plain,
( sP35
| ~ sP83 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__76]) ).
thf(224,plain,
( sP86
| ~ sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(225,plain,
( ~ sP131
| sP115
| ~ sP86 ),
inference(mating_rule,[status(thm)],]) ).
thf(226,plain,
( sP99
| ~ sP118
| ~ sP126 ),
inference(prop_rule,[status(thm)],]) ).
thf(227,plain,
( sP99
| sP118
| sP126 ),
inference(prop_rule,[status(thm)],]) ).
thf(228,plain,
( sP12
| ~ sP99 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__75]) ).
thf(229,plain,
( sP25
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(230,plain,
( ~ sP131
| sP85
| ~ sP25 ),
inference(mating_rule,[status(thm)],]) ).
thf(231,plain,
( sP19
| sP106 ),
inference(prop_rule,[status(thm)],]) ).
thf(232,plain,
( sP98
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(233,plain,
( sP32
| ~ sP98 ),
inference(prop_rule,[status(thm)],]) ).
thf(234,plain,
( sP119
| ~ sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(235,plain,
( sP119
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(236,plain,
( sP135
| ~ sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(237,plain,
( sP135
| ~ sP119 ),
inference(prop_rule,[status(thm)],]) ).
thf(238,plain,
( sP122
| sP145 ),
inference(prop_rule,[status(thm)],]) ).
thf(239,plain,
( sP122
| ~ sP135 ),
inference(prop_rule,[status(thm)],]) ).
thf(240,plain,
( sP40
| ~ sP122 ),
inference(prop_rule,[status(thm)],]) ).
thf(241,plain,
( sP65
| ~ sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(242,plain,
( sP139
| ~ sP121 ),
inference(prop_rule,[status(thm)],]) ).
thf(243,plain,
( sP139
| ~ sP65 ),
inference(prop_rule,[status(thm)],]) ).
thf(244,plain,
( sP162
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(245,plain,
( sP162
| ~ sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(246,plain,
( sP79
| ~ sP75 ),
inference(prop_rule,[status(thm)],]) ).
thf(247,plain,
( sP79
| ~ sP162 ),
inference(prop_rule,[status(thm)],]) ).
thf(248,plain,
( sP7
| sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(249,plain,
( sP7
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(250,plain,
( sP9
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(251,plain,
( sP51
| ~ sP132 ),
inference(prop_rule,[status(thm)],]) ).
thf(252,plain,
( sP51
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(253,plain,
( sP43
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(254,plain,
( sP43
| ~ sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(255,plain,
( sP6
| ~ sP115 ),
inference(prop_rule,[status(thm)],]) ).
thf(256,plain,
( sP6
| ~ sP43 ),
inference(prop_rule,[status(thm)],]) ).
thf(257,plain,
( sP61
| ~ sP85 ),
inference(prop_rule,[status(thm)],]) ).
thf(258,plain,
( sP61
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(259,plain,
( sP1
| sP131 ),
inference(prop_rule,[status(thm)],]) ).
thf(260,plain,
( sP1
| ~ sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(261,plain,
( sP158
| ~ sP97 ),
inference(prop_rule,[status(thm)],]) ).
thf(262,plain,
( sP158
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(263,plain,
( sP45
| ~ sP158 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__74]) ).
thf(264,plain,
( sP8
| ~ sP45 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__73]) ).
thf(265,plain,
( sP114
| ~ sP8 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__72]) ).
thf(266,plain,
( sP37
| ~ sP114 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__71]) ).
thf(267,plain,
( sP50
| ~ sP37 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__70]) ).
thf(268,plain,
( sP48
| ~ sP50 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__69]) ).
thf(269,plain,
( sP147
| ~ sP48 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__68]) ).
thf(270,plain,
( sP104
| ~ sP147 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__67]) ).
thf(271,plain,
( sP155
| ~ sP104 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__66]) ).
thf(272,plain,
( ~ sP113
| ~ sP155 ),
inference(all_rule,[status(thm)],]) ).
thf(273,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,h3]) ).
thf(274,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h1,h0]),eigenvar_choice(discharge,[h2])],[273,h2]) ).
thf(275,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h0]),eigenvar_choice(discharge,[h1])],[274,h1]) ).
thf(276,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3]),eigenvar_choice(discharge,[h0])],[275,h0]) ).
thf(0,theorem,
~ sP113,
inference(contra,[status(thm),contra(discharge,[h3])],[273,h3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRA030^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 03:15:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 1.28/1.46 % SZS status Theorem
% 1.28/1.46 % Mode: cade22grackle2xfee4
% 1.28/1.46 % Steps: 7836
% 1.28/1.46 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------