%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO180^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n023.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 Oct 9 03:25:04 PM UTC 2025
% Result : Theorem 1.12s 1.51s
% Output : Proof 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 166
% Syntax : Number of formulae : 181 ( 18 unt; 0 typ; 11 def)
% Number of atoms : 1047 ( 11 equ; 0 cnn)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 3335 (1805 ~; 125 |; 0 &; 14 @)
% ( 79 <=>;1312 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 93 ( 91 usr; 92 con; 0-2 aty)
% Number of variables : 134 ( 11 ^; 123 !; 0 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__6,type,
eigen__6: $o ).
thf(ty_eigen__2,type,
eigen__2: $o ).
thf(ty_eigen__7,type,
eigen__7: $o ).
thf(ty_eigen__1,type,
eigen__1: $o ).
thf(ty_eigen__0,type,
eigen__0: $o ).
thf(ty_eigen__4,type,
eigen__4: $o ).
thf(ty_eigen__5,type,
eigen__5: $o ).
thf(ty_eigen__3,type,
eigen__3: $o ).
thf(ty_eigen__10,type,
eigen__10: $o ).
thf(ty_eigen__8,type,
eigen__8: $o ).
thf(ty_eigen__9,type,
eigen__9: $o ).
thf(h0,assumption,
! [X1: $o > $o,X2: $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__3,definition,
( eigen__3
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( X1
=> X2 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X6
=> ~ X4 )
=> ~ eigen__2 )
=> X5 ) )
=> ~ ( ~ ( ~ X1
=> eigen__1 )
=> X2 ) )
=> ~ ( ~ ( X6
=> ~ X7 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X2
=> X4 )
=> X5 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X8 ) )
=> ~ ( ~ ( ~ ( ~ ( X3
=> X6 )
=> ~ X1 )
=> X4 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ X1
=> X2 )
=> X6 ) )
=> ~ ( ~ ( ~ ( X6
=> ~ eigen__0 )
=> ~ X3 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( X2
=> ~ X3 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X1
=> X6 )
=> eigen__2 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( X4
=> eigen__1 )
=> X5 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X1
=> ~ X7 )
=> X2 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X2
=> X6 )
=> eigen__2 )
=> X1 ) )
=> ( ~ ( X3
=> ~ eigen__0 )
=> ~ ( X5
=> X7 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__3])]) ).
thf(eigendef_eigen__1,definition,
( eigen__1
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ X1 )
=> X2 )
=> ~ ( ~ ( X3
=> X4 )
=> X2 ) )
=> ~ ( ~ ( ~ ( ~ X8
=> ~ X6 )
=> ~ X2 )
=> X7 ) )
=> ~ ( ~ ( ~ X3
=> X1 )
=> X4 ) )
=> ~ ( ~ ( X8
=> ~ X9 )
=> X10 ) )
=> ~ ( ~ ( ~ ( X4
=> X6 )
=> X7 )
=> X1 ) )
=> ~ ( ~ ( eigen__0
=> ~ X2 )
=> X10 ) )
=> ~ ( ~ ( ~ ( ~ ( X5
=> X8 )
=> ~ X3 )
=> X6 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ X3
=> X4 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X8
=> ~ eigen__0 )
=> ~ X5 )
=> ~ X2 ) )
=> ~ ( ~ ( X4
=> ~ X5 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X3
=> X8 )
=> X2 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X6
=> X1 )
=> X7 )
=> X10 ) )
=> ~ ( ~ ( ~ ( X3
=> ~ X9 )
=> X4 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X4
=> X8 )
=> X2 )
=> X3 ) )
=> ( ~ ( X5
=> ~ eigen__0 )
=> ~ ( X7
=> X9 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__1])]) ).
thf(eigendef_eigen__6,definition,
( eigen__6
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X3
=> ~ X1 )
=> ~ eigen__2 )
=> X2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( X3
=> ~ X4 )
=> X5 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X1 )
=> X2 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X5 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> X3 )
=> ~ eigen__3 )
=> X1 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> X3 ) )
=> ~ ( ~ ( ~ ( X3
=> ~ eigen__0 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X3 )
=> eigen__2 )
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( X1
=> eigen__1 )
=> X2 )
=> X5 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X4 )
=> eigen__4 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X3 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ eigen__0 )
=> ~ ( X2
=> X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__6])]) ).
thf(eigendef_eigen__0,definition,
( eigen__0
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o,X11: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( X1
=> ~ X2 )
=> X3 )
=> ~ ( ~ ( X4
=> X5 )
=> X3 ) )
=> ~ ( ~ ( ~ ( ~ X9
=> ~ X7 )
=> ~ X3 )
=> X8 ) )
=> ~ ( ~ ( ~ X4
=> X2 )
=> X5 ) )
=> ~ ( ~ ( X9
=> ~ X10 )
=> X11 ) )
=> ~ ( ~ ( ~ ( X5
=> X7 )
=> X8 )
=> X2 ) )
=> ~ ( ~ ( X1
=> ~ X3 )
=> X11 ) )
=> ~ ( ~ ( ~ ( ~ ( X6
=> X9 )
=> ~ X4 )
=> X7 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ X4
=> X5 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X9
=> ~ X1 )
=> ~ X6 )
=> ~ X3 ) )
=> ~ ( ~ ( X5
=> ~ X6 )
=> ~ X11 ) )
=> ~ ( ~ ( ~ ( X4
=> X9 )
=> X3 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X7
=> X2 )
=> X8 )
=> X11 ) )
=> ~ ( ~ ( ~ ( X4
=> ~ X10 )
=> X5 )
=> ~ X11 ) )
=> ~ ( ~ ( ~ ( X5
=> X9 )
=> X3 )
=> X4 ) )
=> ( ~ ( X6
=> ~ X1 )
=> ~ ( X8
=> X10 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__0])]) ).
thf(eigendef_eigen__10,definition,
( eigen__10
= ( eps__0
@ ^ [X1: $o] :
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ eigen__8
=> ~ eigen__6 )
=> ~ eigen__2 )
=> eigen__7 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> X1 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X1 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> eigen__8 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> eigen__8 ) )
=> ~ ( ~ ( ~ ( eigen__8
=> ~ eigen__0 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X1 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> eigen__8 )
=> eigen__2 )
=> ~ eigen__9 ) )
=> ~ ( ~ ( ~ ( eigen__6
=> eigen__1 )
=> eigen__7 )
=> X1 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ eigen__9 )
=> eigen__4 )
=> ~ X1 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__8 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ eigen__0 )
=> ~ ( eigen__7
=> eigen__9 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__10])]) ).
thf(eigendef_eigen__8,definition,
( eigen__8
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X1
=> ~ eigen__6 )
=> ~ eigen__2 )
=> eigen__7 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( X1
=> ~ X2 )
=> X3 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X3 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> X1 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> X1 ) )
=> ~ ( ~ ( ~ ( X1
=> ~ eigen__0 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X1 )
=> eigen__2 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ ( eigen__6
=> eigen__1 )
=> eigen__7 )
=> X3 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X2 )
=> eigen__4 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X1 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ eigen__0 )
=> ~ ( eigen__7
=> X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__8])]) ).
thf(eigendef_eigen__2,definition,
( eigen__2
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> X1 )
=> ~ ( ~ ( X2
=> X3 )
=> X1 ) )
=> ~ ( ~ ( ~ ( ~ X7
=> ~ X5 )
=> ~ X1 )
=> X6 ) )
=> ~ ( ~ ( ~ X2
=> eigen__1 )
=> X3 ) )
=> ~ ( ~ ( X7
=> ~ X8 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X3
=> X5 )
=> X6 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ X1 )
=> X9 ) )
=> ~ ( ~ ( ~ ( ~ ( X4
=> X7 )
=> ~ X2 )
=> X5 )
=> ~ X1 ) )
=> ~ ( ~ ( ~ X2
=> X3 )
=> X7 ) )
=> ~ ( ~ ( ~ ( X7
=> ~ eigen__0 )
=> ~ X4 )
=> ~ X1 ) )
=> ~ ( ~ ( X3
=> ~ X4 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X2
=> X7 )
=> X1 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X5
=> eigen__1 )
=> X6 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X2
=> ~ X8 )
=> X3 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X3
=> X7 )
=> X1 )
=> X2 ) )
=> ( ~ ( X4
=> ~ eigen__0 )
=> ~ ( X6
=> X8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__2])]) ).
thf(eigendef_eigen__4,definition,
( eigen__4
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> X1 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X5
=> ~ X3 )
=> ~ eigen__2 )
=> X4 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> X1 ) )
=> ~ ( ~ ( X5
=> ~ X6 )
=> X7 ) )
=> ~ ( ~ ( ~ ( X1
=> X3 )
=> X4 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X7 ) )
=> ~ ( ~ ( ~ ( ~ ( X2
=> X5 )
=> ~ eigen__3 )
=> X3 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> X1 )
=> X5 ) )
=> ~ ( ~ ( ~ ( X5
=> ~ eigen__0 )
=> ~ X2 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( X1
=> ~ X2 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X5 )
=> eigen__2 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( X3
=> eigen__1 )
=> X4 )
=> X7 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X6 )
=> X1 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( X1
=> X5 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( X2
=> ~ eigen__0 )
=> ~ ( X4
=> X6 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__4])]) ).
thf(eigendef_eigen__9,definition,
( eigen__9
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ eigen__8
=> ~ eigen__6 )
=> ~ eigen__2 )
=> eigen__7 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( eigen__8
=> ~ X1 )
=> X2 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X2 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> eigen__8 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> eigen__8 ) )
=> ~ ( ~ ( ~ ( eigen__8
=> ~ eigen__0 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> eigen__8 )
=> eigen__2 )
=> ~ X1 ) )
=> ~ ( ~ ( ~ ( eigen__6
=> eigen__1 )
=> eigen__7 )
=> X2 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X1 )
=> eigen__4 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__8 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ eigen__0 )
=> ~ ( eigen__7
=> X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__9])]) ).
thf(eigendef_eigen__7,definition,
( eigen__7
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X2
=> ~ eigen__6 )
=> ~ eigen__2 )
=> X1 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( X2
=> ~ X3 )
=> X4 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> X1 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X4 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> X2 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> X2 ) )
=> ~ ( ~ ( ~ ( X2
=> ~ eigen__0 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X2 )
=> eigen__2 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ ( eigen__6
=> eigen__1 )
=> X1 )
=> X4 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X3 )
=> eigen__4 )
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X2 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ eigen__0 )
=> ~ ( X1
=> X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__7])]) ).
thf(eigendef_eigen__5,definition,
( eigen__5
= ( eps__0
@ ^ [X1: $o] :
~ ! [X2: $o,X3: $o,X4: $o,X5: $o,X6: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X4
=> ~ X2 )
=> ~ eigen__2 )
=> X3 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( X4
=> ~ X5 )
=> X6 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X2 )
=> X3 )
=> eigen__1 ) )
=> ~ ( ~ ( eigen__0
=> ~ eigen__2 )
=> X6 ) )
=> ~ ( ~ ( ~ ( ~ ( X1
=> X4 )
=> ~ eigen__3 )
=> X2 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> X4 ) )
=> ~ ( ~ ( ~ ( X4
=> ~ eigen__0 )
=> ~ X1 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ X1 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X4 )
=> eigen__2 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( X2
=> eigen__1 )
=> X3 )
=> X6 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X5 )
=> eigen__4 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X4 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( X1
=> ~ eigen__0 )
=> ~ ( X3
=> X5 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__5])]) ).
thf(sP1,plain,
( sP1
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( eigen__0
=> ~ X1 )
=> X2 )
=> ~ ( ~ ( X3
=> X4 )
=> X2 ) )
=> ~ ( ~ ( ~ ( ~ X8
=> ~ X6 )
=> ~ X2 )
=> X7 ) )
=> ~ ( ~ ( ~ X3
=> X1 )
=> X4 ) )
=> ~ ( ~ ( X8
=> ~ X9 )
=> X10 ) )
=> ~ ( ~ ( ~ ( X4
=> X6 )
=> X7 )
=> X1 ) )
=> ~ ( ~ ( eigen__0
=> ~ X2 )
=> X10 ) )
=> ~ ( ~ ( ~ ( ~ ( X5
=> X8 )
=> ~ X3 )
=> X6 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ X3
=> X4 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X8
=> ~ eigen__0 )
=> ~ X5 )
=> ~ X2 ) )
=> ~ ( ~ ( X4
=> ~ X5 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X3
=> X8 )
=> X2 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X6
=> X1 )
=> X7 )
=> X10 ) )
=> ~ ( ~ ( ~ ( X3
=> ~ X9 )
=> X4 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X4
=> X8 )
=> X2 )
=> X3 ) )
=> ( ~ ( X5
=> ~ eigen__0 )
=> ~ ( X7
=> X9 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> eigen__0 ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( eigen__3
=> ~ eigen__9 )
=> eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( eigen__6
=> eigen__1 )
=> eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( sP2
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X3
=> ~ X1 )
=> ~ eigen__2 )
=> X2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) )
=> ~ ( ~ ( X3
=> ~ X4 )
=> X5 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X1 )
=> X2 )
=> eigen__1 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> X5 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> X3 )
=> ~ eigen__3 )
=> X1 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> X3 ) )
=> ~ ( ~ ( ~ ( X3
=> ~ sP2 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X3 )
=> eigen__2 )
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( X1
=> eigen__1 )
=> X2 )
=> X5 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X4 )
=> eigen__4 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X3 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ sP2 )
=> ~ ( X2
=> X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ( ~ ( eigen__3
=> eigen__8 )
=> eigen__2 )
=> ~ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ~ ( ~ ( ( ~ ( sP2
=> ~ eigen__1 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ eigen__8
=> ~ eigen__6 )
=> ~ eigen__2 )
=> eigen__7 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__1 )
=> eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> eigen__1 ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $o,X2: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ X1 )
=> X2 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> X2 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> eigen__8 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> eigen__8 ) )
=> ~ ( ~ ( ~ ( eigen__8
=> ~ sP2 )
=> ~ eigen__5 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ eigen__5 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> eigen__8 )
=> eigen__2 )
=> ~ X1 ) )
=> ~ ( ~ sP5
=> X2 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X1 )
=> eigen__4 )
=> ~ X2 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__8 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( eigen__5
=> ~ sP2 )
=> ~ ( eigen__7
=> X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> eigen__10 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> eigen__10 ) )
=> ~ ( ~ ( ~ ( ~ ( eigen__5
=> eigen__8 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> eigen__8 ) )
=> ~ ( ~ ( ~ ( eigen__8
=> ~ sP2 )
=> ~ eigen__5 )
=> ~ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( eigen__3
=> eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ ( ~ sP11
=> ~ sP3 )
=> ~ sP7 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( eigen__6
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( eigen__5
=> eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( ~ ( sP2
=> ~ sP9 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> eigen__4 )
=> eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( sP2
=> ~ sP9 )
=> eigen__2 )
=> ~ ( ~ ( eigen__3
=> X1 )
=> eigen__2 ) )
=> ~ ( ~ ( ~ ( ~ X5
=> ~ X3 )
=> ~ eigen__2 )
=> X4 ) )
=> ~ ( ~ ( ~ eigen__3
=> sP9 )
=> X1 ) )
=> ~ ( ~ ( X5
=> ~ X6 )
=> X7 ) )
=> ~ ( ~ ( ~ ( X1
=> X3 )
=> X4 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> X7 ) )
=> ~ ( ~ ( ~ ( ~ ( X2
=> X5 )
=> ~ eigen__3 )
=> X3 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> X1 )
=> X5 ) )
=> ~ ( ~ ( ~ ( X5
=> ~ sP2 )
=> ~ X2 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( X1
=> ~ X2 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X5 )
=> eigen__2 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( X3
=> sP9 )
=> X4 )
=> X7 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X6 )
=> X1 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( X1
=> X5 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( X2
=> ~ sP2 )
=> ~ ( X4
=> X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( eigen__4
=> ~ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ~ ( ~ ( ~ ( ~ ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> eigen__10 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> eigen__6 )
=> eigen__7 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> eigen__10 ) )
=> ~ ( ~ ( ~ ( ~ sP15
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( ~ eigen__3
=> eigen__4 )
=> eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ~ ( ~ ( ~ eigen__8
=> ~ eigen__6 )
=> ~ eigen__2 )
=> eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( eigen__4
=> eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ~ sP4
=> ~ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ~ eigen__3
=> eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ~ ( ~ ( eigen__4
=> eigen__8 )
=> eigen__2 )
=> eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( ~ eigen__3
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ~ ( ~ ( eigen__8
=> ~ sP2 )
=> ~ eigen__5 )
=> ~ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ~ eigen__8
=> ~ eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ~ sP5
=> eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ sP27
=> ~ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> eigen__10 ) )
=> ~ ( ~ ( ~ sP21
=> eigen__7 )
=> sP9 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ~ sP11
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> eigen__10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( ~ sP13
=> ~ sP28 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ ( ~ ( ~ ( ~ X4
=> ~ X2 )
=> ~ eigen__2 )
=> X3 ) )
=> ~ ( ~ sP25
=> eigen__4 ) )
=> ~ ( ~ ( X4
=> ~ X5 )
=> X6 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X2 )
=> X3 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ eigen__2 )
=> X6 ) )
=> ~ ( ~ ( ~ ( ~ ( X1
=> X4 )
=> ~ eigen__3 )
=> X2 )
=> ~ eigen__2 ) )
=> ~ ( ~ sP23
=> X4 ) )
=> ~ ( ~ ( ~ ( X4
=> ~ sP2 )
=> ~ X1 )
=> ~ eigen__2 ) )
=> ~ ( ~ ( eigen__4
=> ~ X1 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X4 )
=> eigen__2 )
=> ~ X5 ) )
=> ~ ( ~ ( ~ ( X2
=> sP9 )
=> X3 )
=> X6 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X5 )
=> eigen__4 )
=> ~ X6 ) )
=> ~ ( ~ ( ~ ( eigen__4
=> X4 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( X1
=> ~ sP2 )
=> ~ ( X3
=> X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ ( sP2
=> ~ eigen__2 )
=> eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( sP2
=> ~ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( ~ ( ~ ( ~ sP15
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( ~ ( eigen__8
=> ~ eigen__9 )
=> eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ sP12
=> eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> eigen__7 ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> eigen__5 ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> eigen__4 ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ~ ( ~ sP30
=> ~ sP35 )
=> ~ sP37 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ~ ( ~ sP33
=> ~ sP22 )
=> ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( ~ sP21
=> sP40 ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ! [X1: $o,X2: $o,X3: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ ( ~ ( ~ ( ~ X1
=> ~ eigen__6 )
=> ~ eigen__2 )
=> sP40 ) )
=> ~ ( ~ sP25
=> sP42 ) )
=> ~ ( ~ ( X1
=> ~ X2 )
=> X3 ) )
=> ~ ( ~ sP45
=> sP9 ) )
=> ~ ( ~ sP36
=> X3 ) )
=> ~ ( ~ ( ~ ( ~ ( sP41
=> X1 )
=> ~ eigen__3 )
=> eigen__6 )
=> ~ eigen__2 ) )
=> ~ ( ~ sP23
=> X1 ) )
=> ~ ( ~ ( ~ ( X1
=> ~ sP2 )
=> ~ sP41 )
=> ~ eigen__2 ) )
=> ~ ( ~ sP18
=> ~ X3 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> X1 )
=> eigen__2 )
=> ~ X2 ) )
=> ~ ( ~ sP5
=> X3 ) )
=> ~ ( ~ ( ~ ( eigen__3
=> ~ X2 )
=> sP42 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ ( sP42
=> X1 )
=> eigen__2 )
=> eigen__3 ) )
=> ( ~ ( sP41
=> ~ sP2 )
=> ~ ( sP40
=> X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ! [X1: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP8
=> ~ ( ~ ( eigen__8
=> ~ eigen__9 )
=> X1 ) )
=> ~ ( ~ sP45
=> sP9 ) )
=> ~ ( ~ sP36
=> X1 ) )
=> ~ sP37 )
=> ~ ( ~ sP23
=> eigen__8 ) )
=> ~ sP26 )
=> ~ ( ~ sP18
=> ~ X1 ) )
=> ~ sP7 )
=> ~ ( ~ sP5
=> X1 ) )
=> ~ ( ~ sP4
=> ~ X1 ) )
=> ~ sP24 )
=> ( ~ ( sP41
=> ~ sP2 )
=> ~ ( sP40
=> eigen__9 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> eigen__2 ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( ~ sP15
=> ~ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( eigen__8
=> ~ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( ~ ( sP2
=> ~ sP9 )
=> sP48 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> eigen__8 ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( ~ sP33
=> ~ sP22 ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( sP40
=> eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> eigen__3 ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( sP2
=> ~ sP9 )
=> X1 )
=> ~ ( ~ ( X2
=> X3 )
=> X1 ) )
=> ~ ( ~ ( ~ ( ~ X7
=> ~ X5 )
=> ~ X1 )
=> X6 ) )
=> ~ ( ~ ( ~ X2
=> sP9 )
=> X3 ) )
=> ~ ( ~ ( X7
=> ~ X8 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X3
=> X5 )
=> X6 )
=> sP9 ) )
=> ~ ( ~ ( sP2
=> ~ X1 )
=> X9 ) )
=> ~ ( ~ ( ~ ( ~ ( X4
=> X7 )
=> ~ X2 )
=> X5 )
=> ~ X1 ) )
=> ~ ( ~ ( ~ X2
=> X3 )
=> X7 ) )
=> ~ ( ~ ( ~ ( X7
=> ~ sP2 )
=> ~ X4 )
=> ~ X1 ) )
=> ~ ( ~ ( X3
=> ~ X4 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X2
=> X7 )
=> X1 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X5
=> sP9 )
=> X6 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X2
=> ~ X8 )
=> X3 )
=> ~ X9 ) )
=> ~ ( ~ ( ~ ( X3
=> X7 )
=> X1 )
=> X2 ) )
=> ( ~ ( X4
=> ~ sP2 )
=> ~ ( X6
=> X8 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ~ sP25
=> sP42 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( ~ ( sP42
=> sP52 )
=> sP48 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( ~ ( sP55
=> sP42 )
=> sP48 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o,X11: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( X1
=> ~ X2 )
=> X3 )
=> ~ ( ~ ( X4
=> X5 )
=> X3 ) )
=> ~ ( ~ ( ~ ( ~ X9
=> ~ X7 )
=> ~ X3 )
=> X8 ) )
=> ~ ( ~ ( ~ X4
=> X2 )
=> X5 ) )
=> ~ ( ~ ( X9
=> ~ X10 )
=> X11 ) )
=> ~ ( ~ ( ~ ( X5
=> X7 )
=> X8 )
=> X2 ) )
=> ~ ( ~ ( X1
=> ~ X3 )
=> X11 ) )
=> ~ ( ~ ( ~ ( ~ ( X6
=> X9 )
=> ~ X4 )
=> X7 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ X4
=> X5 )
=> X9 ) )
=> ~ ( ~ ( ~ ( X9
=> ~ X1 )
=> ~ X6 )
=> ~ X3 ) )
=> ~ ( ~ ( X5
=> ~ X6 )
=> ~ X11 ) )
=> ~ ( ~ ( ~ ( X4
=> X9 )
=> X3 )
=> ~ X10 ) )
=> ~ ( ~ ( ~ ( X7
=> X2 )
=> X8 )
=> X11 ) )
=> ~ ( ~ ( ~ ( X4
=> ~ X10 )
=> X5 )
=> ~ X11 ) )
=> ~ ( ~ ( ~ ( X5
=> X9 )
=> X3 )
=> X4 ) )
=> ( ~ ( X6
=> ~ X1 )
=> ~ ( X8
=> X10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( sP55
=> sP42 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( ~ sP30
=> ~ sP35 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> eigen__6 ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP16
=> ~ ( ~ ( ~ ( ~ X2
=> ~ sP63 )
=> ~ sP48 )
=> X1 ) )
=> ~ sP57 )
=> ~ ( ~ ( X2
=> ~ X3 )
=> X4 ) )
=> ~ ( ~ ( ~ sP21
=> X1 )
=> sP9 ) )
=> ~ ( ~ sP36
=> X4 ) )
=> ~ ( ~ ( ~ ( ~ ( sP41
=> X2 )
=> ~ sP55 )
=> sP63 )
=> ~ sP48 ) )
=> ~ ( ~ sP23
=> X2 ) )
=> ~ ( ~ ( ~ ( X2
=> ~ sP2 )
=> ~ sP41 )
=> ~ sP48 ) )
=> ~ ( ~ sP18
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( sP55
=> X2 )
=> sP48 )
=> ~ X3 ) )
=> ~ ( ~ ( ~ sP14
=> X1 )
=> X4 ) )
=> ~ ( ~ ( ~ ( sP55
=> ~ X3 )
=> sP42 )
=> ~ X4 ) )
=> ~ ( ~ ( ~ ( sP42
=> X2 )
=> sP48 )
=> sP55 ) )
=> ( ~ ( sP41
=> ~ sP2 )
=> ~ ( X1
=> X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ~ sP16
=> ~ sP20 ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( ~ sP44
=> ( ~ ( sP41
=> ~ sP2 )
=> ~ sP54 ) ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( sP55
=> ~ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( ~ sP49
=> sP63 ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( sP2
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP41
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( ~ sP70
=> ~ sP54 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( ~ sP45
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> eigen__10 ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ! [X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP51
=> ~ ( ~ ( X1
=> X2 )
=> sP48 ) )
=> ~ ( ~ ( ~ ( ~ X6
=> ~ X4 )
=> ~ sP48 )
=> X5 ) )
=> ~ ( ~ ( ~ X1
=> sP9 )
=> X2 ) )
=> ~ ( ~ ( X6
=> ~ X7 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X2
=> X4 )
=> X5 )
=> sP9 ) )
=> ~ ( ~ sP36
=> X8 ) )
=> ~ ( ~ ( ~ ( ~ ( X3
=> X6 )
=> ~ X1 )
=> X4 )
=> ~ sP48 ) )
=> ~ ( ~ ( ~ X1
=> X2 )
=> X6 ) )
=> ~ ( ~ ( ~ ( X6
=> ~ sP2 )
=> ~ X3 )
=> ~ sP48 ) )
=> ~ ( ~ ( X2
=> ~ X3 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X1
=> X6 )
=> sP48 )
=> ~ X7 ) )
=> ~ ( ~ ( ~ ( X4
=> sP9 )
=> X5 )
=> X8 ) )
=> ~ ( ~ ( ~ ( X1
=> ~ X7 )
=> X2 )
=> ~ X8 ) )
=> ~ ( ~ ( ~ ( X2
=> X6 )
=> sP48 )
=> X1 ) )
=> ( ~ ( X3
=> ~ sP2 )
=> ~ ( X5
=> X7 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( ~ ( sP52
=> ~ sP2 )
=> ~ sP41 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( ~ sP23
=> sP52 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( sP42
=> sP52 ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( sP52
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> eigen__9 ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(cPORKCHOP2,conjecture,
sP60 ).
thf(h1,negated_conjecture,
~ sP60,
inference(assume_negation,[status(cth)],[cPORKCHOP2]) ).
thf(1,plain,
( ~ sP69
| ~ sP2
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP27
| sP52
| ~ sP63 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP51
| sP69
| sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP61
| ~ sP55
| sP42 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP59
| sP61
| sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP16
| sP59 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( sP16
| sP51 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP29
| sP27
| ~ sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP20
| sP29
| sP40 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( sP65
| sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(11,plain,
( sP65
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP25
| sP55
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP21
| ~ sP42
| sP63 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP57
| sP25
| sP42 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( sP8
| sP57 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( sP8
| ~ sP65 ),
inference(prop_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP50
| ~ sP52
| ~ sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP38
| sP50
| sP73 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( sP32
| sP38 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( sP32
| ~ sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(21,plain,
( ~ sP45
| sP21
| sP40 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
( ~ sP15
| ~ sP41
| sP52 ),
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( ~ sP49
| sP15
| ~ sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP72
| sP45
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(25,plain,
( sP30
| sP72 ),
inference(prop_rule,[status(thm)],[]) ).
thf(26,plain,
( sP30
| ~ sP32 ),
inference(prop_rule,[status(thm)],[]) ).
thf(27,plain,
( ~ sP36
| ~ sP2
| ~ sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP35
| sP36
| sP73 ),
inference(prop_rule,[status(thm)],[]) ).
thf(29,plain,
( sP62
| sP35 ),
inference(prop_rule,[status(thm)],[]) ).
thf(30,plain,
( sP62
| ~ sP30 ),
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP68
| sP49
| sP63 ),
inference(prop_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP78
| ~ sP52
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP37
| sP68
| ~ sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(34,plain,
( sP43
| sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(35,plain,
( sP43
| ~ sP62 ),
inference(prop_rule,[status(thm)],[]) ).
thf(36,plain,
( ~ sP23
| sP55
| sP42 ),
inference(prop_rule,[status(thm)],[]) ).
thf(37,plain,
( ~ sP76
| sP23
| sP52 ),
inference(prop_rule,[status(thm)],[]) ).
thf(38,plain,
( sP19
| sP76 ),
inference(prop_rule,[status(thm)],[]) ).
thf(39,plain,
( sP19
| ~ sP43 ),
inference(prop_rule,[status(thm)],[]) ).
thf(40,plain,
( ~ sP75
| sP78
| ~ sP41 ),
inference(prop_rule,[status(thm)],[]) ).
thf(41,plain,
( ~ sP12
| ~ sP55
| sP52 ),
inference(prop_rule,[status(thm)],[]) ).
thf(42,plain,
( ~ sP26
| sP75
| ~ sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(43,plain,
( sP11
| sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(44,plain,
( sP11
| ~ sP19 ),
inference(prop_rule,[status(thm)],[]) ).
thf(45,plain,
( ~ sP18
| ~ sP42
| ~ sP41 ),
inference(prop_rule,[status(thm)],[]) ).
thf(46,plain,
( ~ sP14
| ~ sP63
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(47,plain,
( ~ sP3
| sP18
| ~ sP73 ),
inference(prop_rule,[status(thm)],[]) ).
thf(48,plain,
( sP31
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(49,plain,
( sP31
| ~ sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(50,plain,
( ~ sP39
| sP12
| sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(51,plain,
( ~ sP67
| ~ sP55
| ~ sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(52,plain,
( ~ sP7
| sP39
| ~ sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(53,plain,
( sP13
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(54,plain,
( sP13
| ~ sP31 ),
inference(prop_rule,[status(thm)],[]) ).
thf(55,plain,
( ~ sP5
| sP14
| sP40 ),
inference(prop_rule,[status(thm)],[]) ).
thf(56,plain,
( ~ sP77
| ~ sP42
| sP52 ),
inference(prop_rule,[status(thm)],[]) ).
thf(57,plain,
( ~ sP28
| sP5
| sP73 ),
inference(prop_rule,[status(thm)],[]) ).
thf(58,plain,
( sP33
| sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(59,plain,
( sP33
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(60,plain,
( ~ sP4
| sP67
| sP42 ),
inference(prop_rule,[status(thm)],[]) ).
thf(61,plain,
( ~ sP22
| sP4
| ~ sP73 ),
inference(prop_rule,[status(thm)],[]) ).
thf(62,plain,
( sP53
| sP22 ),
inference(prop_rule,[status(thm)],[]) ).
thf(63,plain,
( sP53
| ~ sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(64,plain,
( ~ sP58
| sP77
| sP48 ),
inference(prop_rule,[status(thm)],[]) ).
thf(65,plain,
( ~ sP24
| sP58
| sP55 ),
inference(prop_rule,[status(thm)],[]) ).
thf(66,plain,
( sP44
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(67,plain,
( sP44
| ~ sP53 ),
inference(prop_rule,[status(thm)],[]) ).
thf(68,plain,
( sP70
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(69,plain,
( sP70
| sP41 ),
inference(prop_rule,[status(thm)],[]) ).
thf(70,plain,
( ~ sP54
| ~ sP40
| sP79 ),
inference(prop_rule,[status(thm)],[]) ).
thf(71,plain,
( sP71
| sP54 ),
inference(prop_rule,[status(thm)],[]) ).
thf(72,plain,
( sP71
| ~ sP70 ),
inference(prop_rule,[status(thm)],[]) ).
thf(73,plain,
( sP66
| ~ sP71 ),
inference(prop_rule,[status(thm)],[]) ).
thf(74,plain,
( sP66
| ~ sP44 ),
inference(prop_rule,[status(thm)],[]) ).
thf(75,plain,
( sP47
| ~ sP66 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__10]) ).
thf(76,plain,
( sP10
| ~ sP47 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__9]) ).
thf(77,plain,
( sP46
| ~ sP10 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__8]) ).
thf(78,plain,
( sP64
| ~ sP46 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__7]) ).
thf(79,plain,
( sP6
| ~ sP64 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6]) ).
thf(80,plain,
( sP34
| ~ sP6 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__5]) ).
thf(81,plain,
( sP17
| ~ sP34 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4]) ).
thf(82,plain,
( sP74
| ~ sP17 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3]) ).
thf(83,plain,
( sP56
| ~ sP74 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2]) ).
thf(84,plain,
( sP1
| ~ sP56 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1]) ).
thf(85,plain,
( sP60
| ~ sP1 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__0]) ).
thf(86,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([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,h1]) ).
thf(87,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[86,h0]) ).
thf(0,theorem,
sP60,
inference(contra,[status(thm),contra(discharge,[h1])],[86,h1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO180^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Oct 9 00:45:08 EDT 2025
% 0.15/0.36 % CPUTime :
% 1.12/1.51 % SZS status Theorem
% 1.12/1.51 % Mode: mode506
% 1.12/1.51 % Inferences: 311294
% 1.12/1.51 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------