TSTP Solution File: GRA027^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : GRA027^1 : TPTP v8.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 : Sat Jul 16 07:21:39 EDT 2022
% Result : Theorem 45.28s 45.57s
% Output : Proof 45.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 188
% Syntax : Number of formulae : 209 ( 28 unt; 15 typ; 15 def)
% Number of atoms : 906 ( 120 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1134 ( 350 ~; 142 |; 0 &; 351 @)
% ( 76 <=>; 215 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 154 ( 154 >; 0 *; 0 +; 0 <<)
% Number of symbols : 96 ( 94 usr; 83 con; 0-2 aty)
% Number of variables : 99 ( 15 ^ 84 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__108,type,
eigen__108: $o ).
thf(ty_eigen__109,type,
eigen__109: $o > $o ).
thf(ty_eigen__112,type,
eigen__112: ( $o > $o ) > $o ).
thf(ty_eigen__77,type,
eigen__77: $o > $o ).
thf(ty_eigen__79,type,
eigen__79: $o > $o ).
thf(ty_eigen__104,type,
eigen__104: ( $o > $o ) > $o ).
thf(ty_eigen__103,type,
eigen__103: ( $o > $o ) > $o ).
thf(ty_eigen__111,type,
eigen__111: ( $o > $o ) > $o ).
thf(ty_eigen__107,type,
eigen__107: $o ).
thf(ty_eigen__110,type,
eigen__110: $o > $o ).
thf(ty_eigen__105,type,
eigen__105: $o ).
thf(ty_eigen__100,type,
eigen__100: $o > $o ).
thf(ty_eigen__101,type,
eigen__101: $o > $o ).
thf(ty_eigen__78,type,
eigen__78: $o > $o ).
thf(ty_eigen__102,type,
eigen__102: $o > $o ).
thf(h0,assumption,
! [X1: ( $o > $o ) > $o,X2: $o > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__110,definition,
( eigen__110
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__77 )
=> ( X2 @ eigen__109 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__77 ) )
=> ~ ( X3 @ eigen__109 ) )
=> ( X3 @ X1 ) )
=> ( ~ ( ( ( eigen__77 @ $false )
!= ( eigen__109 @ $false ) )
=> ( ( eigen__77 @ $false )
= ( X1 @ $false ) ) )
=> ( ( eigen__109 @ $false )
= ( X1 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__110])]) ).
thf(h1,assumption,
! [X1: $o > $o,X2: $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__1 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__108,definition,
( eigen__108
= ( eps__1
@ ^ [X1: $o] :
( ( eigen__78 @ X1 )
!= ( eigen__101 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__108])]) ).
thf(eigendef_eigen__109,definition,
( eigen__109
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__77 )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__77 ) )
=> ~ ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( ~ ( ( ( eigen__77 @ $false )
!= ( X1 @ $false ) )
=> ( ( eigen__77 @ $false )
= ( X2 @ $false ) ) )
=> ( ( X1 @ $false )
= ( X2 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__109])]) ).
thf(eigendef_eigen__105,definition,
( eigen__105
= ( eps__1
@ ^ [X1: $o] :
( ( eigen__101 @ X1 )
!= ( eigen__102 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__105])]) ).
thf(eigendef_eigen__77,definition,
( eigen__77
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ X1 )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ X1 ) )
=> ~ ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( ~ ( ( ( X1 @ $false )
!= ( X2 @ $false ) )
=> ( ( X1 @ $false )
= ( X3 @ $false ) ) )
=> ( ( X2 @ $false )
= ( X3 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__77])]) ).
thf(h2,assumption,
! [X1: ( ( $o > $o ) > $o ) > $o,X2: ( $o > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__2 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__112,definition,
( eigen__112
= ( eps__2
@ ^ [X1: ( $o > $o ) > $o] :
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__111 @ eigen__77 )
=> ( eigen__111 @ eigen__109 ) )
=> ( eigen__111 @ eigen__110 ) )
=> ( X1 @ eigen__77 ) )
=> ~ ( X1 @ eigen__109 ) )
=> ( X1 @ eigen__110 ) )
=> ( ~ ( ( ( eigen__77 @ $false )
!= ( eigen__109 @ $false ) )
=> ( ( eigen__77 @ $false )
= ( eigen__110 @ $false ) ) )
=> ( ( eigen__109 @ $false )
= ( eigen__110 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__112])]) ).
thf(eigendef_eigen__100,definition,
( eigen__100
= ( eps__0
@ ^ [X1: $o > $o] :
~ ( ( ( X1 @ $false )
= ( eigen__79 @ $false ) )
=> ( ( eigen__79 @ $false )
= ( X1 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__100])]) ).
thf(eigendef_eigen__101,definition,
( eigen__101
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__78 )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__78 ) )
=> ~ ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( ~ ( ( ( eigen__78 @ $false )
= ( X1 @ $false ) )
=> ( ( eigen__78 @ $false )
!= ( X2 @ $false ) ) )
=> ( ( X1 @ $false )
!= ( X2 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__101])]) ).
thf(eigendef_eigen__78,definition,
( eigen__78
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ X1 )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ X1 ) )
=> ~ ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( ~ ( ( ( X1 @ $false )
= ( X2 @ $false ) )
=> ( ( X1 @ $false )
!= ( X3 @ $false ) ) )
=> ( ( X2 @ $false )
!= ( X3 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__78])]) ).
thf(eigendef_eigen__102,definition,
( eigen__102
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__78 )
=> ( X2 @ eigen__101 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__78 ) )
=> ~ ( X3 @ eigen__101 ) )
=> ( X3 @ X1 ) )
=> ( ~ ( ( ( eigen__78 @ $false )
= ( eigen__101 @ $false ) )
=> ( ( eigen__78 @ $false )
!= ( X1 @ $false ) ) )
=> ( ( eigen__101 @ $false )
!= ( X1 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__102])]) ).
thf(eigendef_eigen__103,definition,
( eigen__103
= ( eps__2
@ ^ [X1: ( $o > $o ) > $o] :
~ ! [X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__78 )
=> ( X1 @ eigen__101 ) )
=> ( X1 @ eigen__102 ) )
=> ( X2 @ eigen__78 ) )
=> ~ ( X2 @ eigen__101 ) )
=> ( X2 @ eigen__102 ) )
=> ( ~ ( ( ( eigen__78 @ $false )
= ( eigen__101 @ $false ) )
=> ( ( eigen__78 @ $false )
!= ( eigen__102 @ $false ) ) )
=> ( ( eigen__101 @ $false )
!= ( eigen__102 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__103])]) ).
thf(eigendef_eigen__104,definition,
( eigen__104
= ( eps__2
@ ^ [X1: ( $o > $o ) > $o] :
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__103 @ eigen__78 )
=> ( eigen__103 @ eigen__101 ) )
=> ( eigen__103 @ eigen__102 ) )
=> ( X1 @ eigen__78 ) )
=> ~ ( X1 @ eigen__101 ) )
=> ( X1 @ eigen__102 ) )
=> ( ~ ( ( ( eigen__78 @ $false )
= ( eigen__101 @ $false ) )
=> ( ( eigen__78 @ $false )
!= ( eigen__102 @ $false ) ) )
=> ( ( eigen__101 @ $false )
!= ( eigen__102 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__104])]) ).
thf(eigendef_eigen__111,definition,
( eigen__111
= ( eps__2
@ ^ [X1: ( $o > $o ) > $o] :
~ ! [X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__77 )
=> ( X1 @ eigen__109 ) )
=> ( X1 @ eigen__110 ) )
=> ( X2 @ eigen__77 ) )
=> ~ ( X2 @ eigen__109 ) )
=> ( X2 @ eigen__110 ) )
=> ( ~ ( ( ( eigen__77 @ $false )
!= ( eigen__109 @ $false ) )
=> ( ( eigen__77 @ $false )
= ( eigen__110 @ $false ) ) )
=> ( ( eigen__109 @ $false )
= ( eigen__110 @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__111])]) ).
thf(eigendef_eigen__79,definition,
( eigen__79
= ( eps__0
@ ^ [X1: $o > $o] :
~ ! [X2: $o > $o] :
( ( ( X2 @ $false )
= ( X1 @ $false ) )
=> ( ( X1 @ $false )
= ( X2 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__79])]) ).
thf(eigendef_eigen__107,definition,
( eigen__107
= ( eps__1
@ ^ [X1: $o] :
( ( eigen__78 @ X1 )
!= ( eigen__102 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__107])]) ).
thf(sP1,plain,
( sP1
<=> ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ X1 )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ X1 ) )
=> ~ ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( ~ ( ( ( X1 @ $false )
!= ( X2 @ $false ) )
=> ( ( X1 @ $false )
= ( X3 @ $false ) ) )
=> ( ( X2 @ $false )
= ( X3 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( eigen__78 @ eigen__107 )
= ( eigen__102 @ eigen__107 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $o > $o,X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__78 )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__78 ) )
=> ~ ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( ~ ( ( ( eigen__78 @ $false )
= ( X1 @ $false ) )
=> ( ( eigen__78 @ $false )
!= ( X2 @ $false ) ) )
=> ( ( X1 @ $false )
!= ( X2 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__107 = eigen__105 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__105 = eigen__108 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( eigen__101 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( eigen__78 @ eigen__108 )
= ( eigen__101 @ eigen__108 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eigen__102 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( eigen__102 @ eigen__105 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> eigen__107 ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( $false = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $o] :
( ( eigen__101 @ X1 )
= ( eigen__102 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( eigen__77 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( eigen__108 = eigen__105 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( eigen__104 @ eigen__101 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( eigen__101 @ eigen__108 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ~ ( ~ ( ~ ( ( eigen__103 @ eigen__78 )
=> ( eigen__103 @ eigen__101 ) )
=> ( eigen__103 @ eigen__102 ) )
=> ( eigen__104 @ eigen__78 ) )
=> ~ sP15 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( eigen__102 @ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: ( $o > $o ) > $o,X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__77 )
=> ( X1 @ eigen__109 ) )
=> ( X1 @ eigen__110 ) )
=> ( X2 @ eigen__77 ) )
=> ~ ( X2 @ eigen__109 ) )
=> ( X2 @ eigen__110 ) )
=> ( ~ ( ( sP13
!= ( eigen__109 @ $false ) )
=> ( sP13
= ( eigen__110 @ $false ) ) )
=> ( ( eigen__109 @ $false )
= ( eigen__110 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( $false = eigen__108 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( eigen__109 @ $false )
= ( eigen__110 @ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( eigen__78 @ eigen__108 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ~ ( ( sP13
!= ( eigen__109 @ $false ) )
=> ( sP13
= ( eigen__110 @ $false ) ) )
=> sP21 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( sP13
!= ( eigen__109 @ $false ) )
=> ( sP13
= ( eigen__110 @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eigen__108 = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( $false = eigen__105 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $o] :
( ( ( eigen__100 @ $false )
= X1 )
=> ( X1
= ( eigen__100 @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ( eigen__103 @ eigen__78 )
=> ( eigen__103 @ eigen__101 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( eigen__78 = eigen__102 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__111 @ eigen__77 )
=> ( eigen__111 @ eigen__109 ) )
=> ( eigen__111 @ eigen__110 ) )
=> ( eigen__112 @ eigen__77 ) )
=> ~ ( eigen__112 @ eigen__109 ) )
=> ( eigen__112 @ eigen__110 ) )
=> sP23 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( ( eigen__100 @ $false )
= ( eigen__79 @ $false ) )
=> ( ( eigen__79 @ $false )
= ( eigen__100 @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ ( ( ( eigen__78 @ $false )
= sP6 )
=> ( ( eigen__78 @ $false )
!= sP8 ) )
=> ( sP6 != sP8 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $o > $o,X2: $o > $o] :
( ( ( X2 @ $false )
= ( X1 @ $false ) )
=> ( ( X1 @ $false )
= ( X2 @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( eigen__78 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ sP28
=> ( eigen__103 @ eigen__102 ) )
=> ( X1 @ eigen__78 ) )
=> ~ ( X1 @ eigen__101 ) )
=> ( X1 @ eigen__102 ) )
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( sP10 = eigen__108 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> eigen__105 ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: $o] :
( ( eigen__78 @ X1 )
= ( eigen__101 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( sP10 = $false ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> eigen__108 ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( sP13
= ( eigen__110 @ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ! [X1: $o > $o] :
( ( ( X1 @ $false )
= ( eigen__79 @ $false ) )
=> ( ( eigen__79 @ $false )
= ( X1 @ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ! [X1: $o > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__78 )
=> ( X2 @ eigen__101 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__78 ) )
=> ~ ( X3 @ eigen__101 ) )
=> ( X3 @ X1 ) )
=> ( ~ ( ( sP34 = sP6 )
=> ( sP34
!= ( X1 @ $false ) ) )
=> ( sP6
!= ( X1 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( sP34 = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( eigen__110 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ! [X1: $o > $o,X2: $o > $o,X3: ( $o > $o ) > $o,X4: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X3 @ eigen__77 )
=> ( X3 @ X1 ) )
=> ( X3 @ X2 ) )
=> ( X4 @ eigen__77 ) )
=> ~ ( X4 @ X1 ) )
=> ( X4 @ X2 ) )
=> ( ~ ( ( sP13
!= ( X1 @ $false ) )
=> ( sP13
= ( X2 @ $false ) ) )
=> ( ( X1 @ $false )
= ( X2 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( sP37 = $false ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( eigen__109 @ $false ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ! [X1: $o > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X2 @ eigen__77 )
=> ( X2 @ eigen__109 ) )
=> ( X2 @ X1 ) )
=> ( X3 @ eigen__77 ) )
=> ~ ( X3 @ eigen__109 ) )
=> ( X3 @ X1 ) )
=> ( ~ ( ( sP13 != sP48 )
=> ( sP13
= ( X1 @ $false ) ) )
=> ( sP48
= ( X1 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( ~ ( sP33
=> ~ ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ X1 )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ X1 ) )
=> ~ ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( ~ ( ( ( X1 @ $false )
= ( X2 @ $false ) )
=> ( ( X1 @ $false )
!= ( X3 @ $false ) ) )
=> ( ( X2 @ $false )
!= ( X3 @ $false ) ) ) ) )
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ ( ~ sP17
=> ( eigen__104 @ eigen__102 ) )
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( sP37 = sP10 ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( ~ sP17
=> ( eigen__104 @ eigen__102 ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( eigen__103 @ eigen__78 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ! [X1: ( $o > $o ) > $o,X2: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X1 @ eigen__78 )
=> ( X1 @ eigen__101 ) )
=> ( X1 @ eigen__102 ) )
=> ( X2 @ eigen__78 ) )
=> ~ ( X2 @ eigen__101 ) )
=> ( X2 @ eigen__102 ) )
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( eigen__104 @ eigen__102 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ! [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,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X5 @ X2 )
=> ( X5 @ X3 ) )
=> ( X5 @ X4 ) )
=> ( X6 @ X2 ) )
=> ~ ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( ~ ( ( X1 @ X3 @ X2 )
=> ~ ( X1 @ X4 @ X2 ) )
=> ~ ( X1 @ X4 @ X3 ) ) ) )
=> ~ ! [X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X5 @ X2 )
=> ( X5 @ X3 ) )
=> ( X5 @ X4 ) )
=> ( X6 @ X2 ) )
=> ~ ( X6 @ X3 ) )
=> ( X6 @ X4 ) )
=> ( ~ ( ~ ( X1 @ X3 @ X2 )
=> ( X1 @ X4 @ X2 ) )
=> ( X1 @ X4 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( eigen__78 = eigen__101 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( eigen__101 @ sP37 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( eigen__78 @ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( sP6 = sP8 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ! [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( X4 @ X1 )
=> ( X4 @ X2 ) )
=> ( X4 @ X3 ) )
=> ( X5 @ X1 ) )
=> ~ ( X5 @ X2 ) )
=> ( X5 @ X3 ) )
=> ( ~ ( ( ( X1 @ $false )
= ( X2 @ $false ) )
=> ( ( X1 @ $false )
!= ( X3 @ $false ) ) )
=> ( ( X2 @ $false )
!= ( X3 @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( eigen__101 = eigen__102 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( sP40 = $false ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ! [X1: ( $o > $o ) > $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ( eigen__111 @ eigen__77 )
=> ( eigen__111 @ eigen__109 ) )
=> ( eigen__111 @ eigen__110 ) )
=> ( X1 @ eigen__77 ) )
=> ~ ( X1 @ eigen__109 ) )
=> ( X1 @ eigen__110 ) )
=> sP23 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( sP59 = sP9 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( eigen__103 @ eigen__101 ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> $false ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP44
=> ( sP34 != sP8 ) ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( eigen__103 @ eigen__102 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ! [X1: $o] :
( ( eigen__78 @ X1 )
= ( eigen__102 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( sP13 = sP48 ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( ~ sP28
=> sP71 ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( sP33
=> ~ sP63 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( ~ sP74
=> ( eigen__104 @ eigen__78 ) ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(ramsey_l_3_3_4,conjecture,
~ sP57 ).
thf(h3,negated_conjecture,
sP57,
inference(assume_negation,[status(cth)],[ramsey_l_3_3_4]) ).
thf(1,plain,
( sP73
| ~ sP13
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP73
| sP13
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP41
| ~ sP13
| ~ sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP41
| sP13
| sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP24
| ~ sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP24
| ~ sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( sP21
| ~ sP48
| ~ sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( sP21
| sP48
| sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP23
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( sP23
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( sP30
| ~ sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP66
| ~ sP30 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__112]) ).
thf(13,plain,
( sP19
| ~ sP66 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__111]) ).
thf(14,plain,
( sP49
| ~ sP19 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__110]) ).
thf(15,plain,
( sP46
| ~ sP49 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__109]) ).
thf(16,plain,
( sP5
| ~ sP37
| ~ sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP59
| sP16
| ~ sP5 ),
inference(mating_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP59
| sP6
| ~ sP47 ),
inference(mating_rule,[status(thm)],]) ).
thf(19,plain,
( sP52
| ~ sP37
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP9
| sP18
| ~ sP52 ),
inference(mating_rule,[status(thm)],]) ).
thf(21,plain,
( sP47
| sP37
| sP69 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP9
| sP8
| ~ sP47 ),
inference(mating_rule,[status(thm)],]) ).
thf(23,plain,
( sP14
| ~ sP40
| ~ sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP16
| sP59
| ~ sP14 ),
inference(mating_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP6
| sP59
| ~ sP26 ),
inference(mating_rule,[status(thm)],]) ).
thf(26,plain,
( sP4
| ~ sP10
| ~ sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP18
| sP9
| ~ sP4 ),
inference(mating_rule,[status(thm)],]) ).
thf(28,plain,
( sP26
| sP69
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP8
| sP9
| ~ sP26 ),
inference(mating_rule,[status(thm)],]) ).
thf(30,plain,
( sP67
| ~ sP59
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( sP67
| sP59
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( sP36
| ~ sP10
| ~ sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP60
| sP22
| ~ sP36 ),
inference(mating_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP60
| sP34
| ~ sP39 ),
inference(mating_rule,[status(thm)],]) ).
thf(35,plain,
( sP39
| sP10
| sP69 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP18
| sP8
| ~ sP39 ),
inference(mating_rule,[status(thm)],]) ).
thf(37,plain,
( sP25
| ~ sP40
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP22
| sP60
| ~ sP25 ),
inference(mating_rule,[status(thm)],]) ).
thf(39,plain,
( ~ sP34
| sP60
| ~ sP11 ),
inference(mating_rule,[status(thm)],]) ).
thf(40,plain,
( sP11
| sP69
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP8
| sP18
| ~ sP11 ),
inference(mating_rule,[status(thm)],]) ).
thf(42,plain,
( sP2
| ~ sP60
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( sP2
| sP60
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( ~ sP22
| sP34
| ~ sP65 ),
inference(mating_rule,[status(thm)],]) ).
thf(45,plain,
( sP65
| sP40
| sP69 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP16
| sP6
| ~ sP65 ),
inference(mating_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP34
| sP22
| ~ sP20 ),
inference(mating_rule,[status(thm)],]) ).
thf(48,plain,
( sP20
| sP69
| sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP6
| sP16
| ~ sP20 ),
inference(mating_rule,[status(thm)],]) ).
thf(50,plain,
( sP7
| ~ sP22
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( sP7
| sP22
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( sP38
| ~ sP7 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__108]) ).
thf(53,plain,
( sP58
| ~ sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP54
| sP68
| ~ sP58 ),
inference(mating_rule,[status(thm)],]) ).
thf(55,plain,
( sP72
| ~ sP2 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__107]) ).
thf(56,plain,
( sP29
| ~ sP72 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP54
| sP71
| ~ sP29 ),
inference(mating_rule,[status(thm)],]) ).
thf(58,plain,
( sP28
| ~ sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( sP28
| sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( sP74
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( sP74
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( sP76
| ~ sP74 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( sP12
| ~ sP67 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__105]) ).
thf(64,plain,
( sP64
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP15
| sP56
| ~ sP64 ),
inference(mating_rule,[status(thm)],]) ).
thf(66,plain,
( sP17
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(67,plain,
( sP17
| ~ sP76 ),
inference(prop_rule,[status(thm)],]) ).
thf(68,plain,
( sP53
| ~ sP56 ),
inference(prop_rule,[status(thm)],]) ).
thf(69,plain,
( sP53
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(70,plain,
( ~ sP44
| ~ sP34
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP44
| sP34
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( sP70
| sP44 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( ~ sP62
| ~ sP6
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP62
| sP6
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
( sP32
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(76,plain,
( sP32
| ~ sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(77,plain,
( sP51
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(78,plain,
( sP51
| ~ sP53 ),
inference(prop_rule,[status(thm)],]) ).
thf(79,plain,
( sP35
| ~ sP51 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__104]) ).
thf(80,plain,
( sP55
| ~ sP35 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__103]) ).
thf(81,plain,
( sP43
| ~ sP55 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__102]) ).
thf(82,plain,
( sP3
| ~ sP43 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__101]) ).
thf(83,plain,
( ~ sP27
| sP31 ),
inference(all_rule,[status(thm)],]) ).
thf(84,plain,
( ~ sP61
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(85,plain,
( sP42
| ~ sP31 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__100]) ).
thf(86,plain,
( sP33
| ~ sP42 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__79]) ).
thf(87,plain,
( sP63
| ~ sP3 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__78]) ).
thf(88,plain,
( ~ sP75
| ~ sP33
| ~ sP63 ),
inference(prop_rule,[status(thm)],]) ).
thf(89,plain,
( sP1
| ~ sP46 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__77]) ).
thf(90,plain,
( ~ sP50
| sP75
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(91,plain,
~ sP69,
inference(prop_rule,[status(thm)],]) ).
thf(92,plain,
sP61,
inference(eq_sym,[status(thm)],]) ).
thf(93,plain,
( ~ sP57
| sP50 ),
inference(all_rule,[status(thm)],]) ).
thf(94,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,h3]) ).
thf(95,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h1,h0]),eigenvar_choice(discharge,[h2])],[94,h2]) ).
thf(96,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h0]),eigenvar_choice(discharge,[h1])],[95,h1]) ).
thf(97,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3]),eigenvar_choice(discharge,[h0])],[96,h0]) ).
thf(0,theorem,
~ sP57,
inference(contra,[status(thm),contra(discharge,[h3])],[94,h3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRA027^1 : TPTP v8.1.0. Released v3.6.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n017.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 : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 23:40:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 45.28/45.57 % SZS status Theorem
% 45.28/45.57 % Mode: mode456
% 45.28/45.57 % Inferences: 1582
% 45.28/45.57 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------