TSTP Solution File: SYO529^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO529^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 19:33:15 EDT 2022
% Result : Unsatisfiable 5.10s 5.35s
% Output : Proof 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1382
% Syntax : Number of formulae : 1455 ( 71 unt; 55 typ; 50 def)
% Number of atoms : 4598 ( 479 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 3672 (1170 ~;1370 |; 0 &; 550 @)
% ( 530 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 589 ( 587 usr; 573 con; 0-2 aty)
% Number of variables : 136 ( 50 ^ 86 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__14,type,
eigen__14: $o ).
thf(ty_eigen__6,type,
eigen__6: $o > $o ).
thf(ty_eigen__12,type,
eigen__12: $o ).
thf(ty_eigen__56,type,
eigen__56: $o ).
thf(ty_eigen__2,type,
eigen__2: $o > $o ).
thf(ty_eigen__16,type,
eigen__16: $o ).
thf(ty_eigen__40,type,
eigen__40: $o ).
thf(ty_eigen__7,type,
eigen__7: $o > $o ).
thf(ty_eigen__30,type,
eigen__30: $o ).
thf(ty_eigen__44,type,
eigen__44: $o ).
thf(ty_eigen__24,type,
eigen__24: $o ).
thf(ty_eigen__35,type,
eigen__35: $o ).
thf(ty_eps4,type,
eps4: ( $o > $o ) > $o ).
thf(ty_eps3,type,
eps3: ( $o > $o ) > $o ).
thf(ty_eigen__15,type,
eigen__15: $o ).
thf(ty_eigen__1,type,
eigen__1: $o > $o ).
thf(ty_eigen__45,type,
eigen__45: $o ).
thf(ty_eigen__0,type,
eigen__0: $o > $o ).
thf(ty_eigen__32,type,
eigen__32: $o ).
thf(ty_eigen__21,type,
eigen__21: $o ).
thf(ty_eigen__26,type,
eigen__26: $o ).
thf(ty_eps1,type,
eps1: ( $o > $o ) > $o ).
thf(ty_eigen__4,type,
eigen__4: $o > $o ).
thf(ty_eigen__37,type,
eigen__37: $o ).
thf(ty_eps2,type,
eps2: ( $o > $o ) > $o ).
thf(ty_eigen__60,type,
eigen__60: $o ).
thf(ty_eigen__27,type,
eigen__27: $o ).
thf(ty_eigen__5,type,
eigen__5: $o > $o ).
thf(ty_eigen__29,type,
eigen__29: $o ).
thf(ty_eigen__19,type,
eigen__19: $o ).
thf(ty_eigen__11,type,
eigen__11: $o ).
thf(ty_eigen__55,type,
eigen__55: $o ).
thf(ty_eigen__3,type,
eigen__3: $o > $o ).
thf(ty_eigen__17,type,
eigen__17: $o ).
thf(ty_eigen__10,type,
eigen__10: $o ).
thf(ty_eps5,type,
eps5: ( $o > $o ) > $o ).
thf(ty_eigen__8,type,
eigen__8: $o > $o ).
thf(ty_eigen__63,type,
eigen__63: $o ).
thf(ty_eigen__48,type,
eigen__48: $o ).
thf(ty_eigen__41,type,
eigen__41: $o ).
thf(ty_eigen__9,type,
eigen__9: $o > $o ).
thf(ty_eigen__53,type,
eigen__53: $o ).
thf(ty_eigen__28,type,
eigen__28: $o ).
thf(ty_eigen__67,type,
eigen__67: $o ).
thf(ty_eigen__42,type,
eigen__42: $o ).
thf(ty_eigen__18,type,
eigen__18: $o ).
thf(ty_eigen__22,type,
eigen__22: $o ).
thf(ty_eigen__23,type,
eigen__23: $o ).
thf(ty_eigen__43,type,
eigen__43: $o ).
thf(ty_eigen__64,type,
eigen__64: $o ).
thf(ty_eigen__51,type,
eigen__51: $o ).
thf(ty_eigen__49,type,
eigen__49: $o ).
thf(ty_eigen__57,type,
eigen__57: $o ).
thf(ty_eigen__61,type,
eigen__61: $o ).
thf(ty_eigen__38,type,
eigen__38: $o ).
thf(h0,assumption,
! [X1: $o > $o,X2: $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__11,definition,
( eigen__11
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__4 @ X1 )
!= ( eigen__0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__11])]) ).
thf(eigendef_eigen__55,definition,
( eigen__55
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__1 @ X1 )
!= ( eigen__3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__55])]) ).
thf(h1,assumption,
! [X1: ( $o > $o ) > $o,X2: $o > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__1 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__3,definition,
( eigen__3
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps2 @ X1 )
!= ( eps5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__3])]) ).
thf(eigendef_eigen__1,definition,
( eigen__1
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps3 @ X1 )
!= ( eps5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__1])]) ).
thf(eigendef_eigen__15,definition,
( eigen__15
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__5 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__15])]) ).
thf(eigendef_eigen__17,definition,
( eigen__17
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__0 @ X1 )
!= ( eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__17])]) ).
thf(eigendef_eigen__6,definition,
( eigen__6
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps1 @ X1 )
!= ( eps5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__6])]) ).
thf(eigendef_eigen__14,definition,
( eigen__14
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__14])]) ).
thf(eigendef_eigen__42,definition,
( eigen__42
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__0 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__42])]) ).
thf(eigendef_eigen__45,definition,
( eigen__45
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__5 @ X1 )
!= ( eigen__9 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__45])]) ).
thf(eigendef_eigen__0,definition,
( eigen__0
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps4 @ X1 )
!= ( eps5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__0])]) ).
thf(eigendef_eigen__10,definition,
( eigen__10
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__7 @ X1 )
!= ( eigen__8 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__10])]) ).
thf(eigendef_eigen__12,definition,
( eigen__12
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__12])]) ).
thf(eigendef_eigen__32,definition,
( eigen__32
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__7 @ X1 )
!= ( eigen__2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__32])]) ).
thf(eigendef_eigen__18,definition,
( eigen__18
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__0 @ X1 )
!= ( eigen__2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__18])]) ).
thf(eigendef_eigen__22,definition,
( eigen__22
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__9 @ X1 )
!= ( eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__22])]) ).
thf(eigendef_eigen__56,definition,
( eigen__56
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__9 @ X1 )
!= ( eigen__4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__56])]) ).
thf(eigendef_eigen__8,definition,
( eigen__8
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps1 @ X1 )
!= ( eps3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__8])]) ).
thf(eigendef_eigen__21,definition,
( eigen__21
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__9 @ X1 )
!= ( eigen__8 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__21])]) ).
thf(eigendef_eigen__63,definition,
( eigen__63
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__63])]) ).
thf(eigendef_eigen__2,definition,
( eigen__2
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps3 @ X1 )
!= ( eps4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__2])]) ).
thf(eigendef_eigen__23,definition,
( eigen__23
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__9 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__23])]) ).
thf(eigendef_eigen__48,definition,
( eigen__48
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__3 @ X1 )
!= ( eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__48])]) ).
thf(eigendef_eigen__4,definition,
( eigen__4
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps2 @ X1 )
!= ( eps4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__4])]) ).
thf(eigendef_eigen__16,definition,
( eigen__16
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__0 @ X1 )
!= ( eigen__4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__16])]) ).
thf(eigendef_eigen__26,definition,
( eigen__26
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__6 @ X1 )
!= ( eigen__9 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__26])]) ).
thf(eigendef_eigen__41,definition,
( eigen__41
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__7 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__41])]) ).
thf(eigendef_eigen__43,definition,
( eigen__43
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__1 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__43])]) ).
thf(eigendef_eigen__9,definition,
( eigen__9
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps1 @ X1 )
!= ( eps2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__9])]) ).
thf(eigendef_eigen__64,definition,
( eigen__64
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__4 @ X1 )
!= ( eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__64])]) ).
thf(eigendef_eigen__37,definition,
( eigen__37
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__4 @ X1 )
!= ( eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__37])]) ).
thf(eigendef_eigen__40,definition,
( eigen__40
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__6 @ X1 )
!= ( eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__40])]) ).
thf(eigendef_eigen__53,definition,
( eigen__53
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__3 @ X1 )
!= ( eigen__0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__53])]) ).
thf(eigendef_eigen__51,definition,
( eigen__51
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__2 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__51])]) ).
thf(eigendef_eigen__49,definition,
( eigen__49
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__3 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__49])]) ).
thf(eigendef_eigen__60,definition,
( eigen__60
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__7 @ X1 )
!= ( eigen__4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__60])]) ).
thf(eigendef_eigen__7,definition,
( eigen__7
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps1 @ X1 )
!= ( eps4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__7])]) ).
thf(eigendef_eigen__28,definition,
( eigen__28
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__6 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__28])]) ).
thf(eigendef_eigen__67,definition,
( eigen__67
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__67])]) ).
thf(eigendef_eigen__27,definition,
( eigen__27
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__0 @ X1 )
!= ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__27])]) ).
thf(eigendef_eigen__5,definition,
( eigen__5
= ( eps__1
@ ^ [X1: $o > $o] :
( ( eps2 @ X1 )
!= ( eps3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__5])]) ).
thf(eigendef_eigen__30,definition,
( eigen__30
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__2 @ X1 )
!= ( eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__30])]) ).
thf(eigendef_eigen__44,definition,
( eigen__44
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__3 @ X1 )
!= ( eigen__9 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__44])]) ).
thf(eigendef_eigen__57,definition,
( eigen__57
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__3 @ X1 )
!= ( eigen__6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__57])]) ).
thf(eigendef_eigen__24,definition,
( eigen__24
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__9 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__24])]) ).
thf(eigendef_eigen__29,definition,
( eigen__29
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__8 @ X1 )
!= ( eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__29])]) ).
thf(eigendef_eigen__35,definition,
( eigen__35
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__4 @ X1 )
!= ( eigen__3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__35])]) ).
thf(eigendef_eigen__61,definition,
( eigen__61
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__2 @ X1 )
!= ( eigen__4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__61])]) ).
thf(eigendef_eigen__19,definition,
( eigen__19
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__2 @ X1 )
!= ( eigen__0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__19])]) ).
thf(eigendef_eigen__38,definition,
( eigen__38
= ( eps__0
@ ^ [X1: $o] :
( ( eigen__5 @ X1 )
!= ( eigen__4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__38])]) ).
thf(sP1,plain,
( sP1
<=> ( eps1 = eps3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eps2 @ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__8 @ eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( eigen__8 @ eigen__67 )
= ( eigen__7 @ eigen__67 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( eps4 @ eigen__7 )
= eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( eps3 @ eigen__8 )
= eigen__63 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( eigen__4 = eigen__7 )
=> ( eigen__7 = eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( eps3 @ eigen__8 )
= eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( eps2 @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $o] :
( ( eigen__2 @ X1 )
= ( eigen__5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( eigen__9 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( eigen__8 @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $o] :
( ( eigen__5 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( eps4 @ eigen__4 )
= eigen__11 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $o > $o] :
( ( eps3 @ X1 )
= ( eps4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( eps3 @ eigen__1 )
= eigen__55 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $o] :
( ( eigen__3 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( eigen__9 = eigen__8 )
=> ( eigen__8 = eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( eps1 @ eigen__6 )
= eigen__23 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( eps3 @ eigen__1 )
= ( eps5 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( eigen__1 @ eigen__14 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( eigen__9 @ eigen__44 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( eps5 @ eigen__1 )
= eigen__49 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> eigen__41 ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eigen__6 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ( eps4 @ eigen__7 )
= eigen__40 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $o] :
( ( eigen__5 @ X1 )
= ( eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ( eps3 @ eigen__5 )
= eigen__29 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ( eps1 @ eigen__6 )
= eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: $o > $o] :
( ( eps2 @ X1 )
= ( eps5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( eps5 @ eigen__1 )
= eigen__55 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> eigen__55 ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( ( eigen__5 = eigen__9 )
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> eigen__11 ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ( eigen__8 = eigen__2 )
=> ( eigen__2 = eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ( eps3 @ eigen__2 )
= eigen__32 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( eigen__9 @ eigen__45 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( ( eps1 @ eigen__6 )
= eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ( eps2 @ eigen__3 )
= ( eps5 @ eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ( eigen__0 = eigen__6 )
=> ( eigen__6 = eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ( eigen__2 = eigen__5 )
=> ( eigen__5 = eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( ( eps5 @ eigen__6 )
= eigen__57 ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( sP9
= ( eps3 @ eigen__5 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( eigen__3 @ ( eps5 @ eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( eigen__0 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( eigen__8 @ ( eps3 @ eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ( eps1 @ eigen__7 )
= eigen__22 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> eigen__14 ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( eigen__6 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $o] :
( ( eigen__3 @ X1 )
= ( eigen__0 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( eigen__5 @ eigen__37 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( eigen__5 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( eigen__6 @ ( eps1 @ eigen__6 ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( eigen__4 @ eigen__64 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( eigen__5 @ eigen__15 ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( ( eigen__6 = eigen__7 )
=> ( eigen__7 = eigen__6 ) ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( eigen__0 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( ( eps2 @ eigen__3 )
= eigen__35 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( ( eigen__0 = eigen__4 )
=> ( eigen__4 = eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( ( eps1 @ eigen__9 )
= eigen__23 ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( eigen__2 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( ( eps4 @ eigen__7 )
= eigen__22 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( ( eigen__9 @ eigen__22 )
= ( eigen__7 @ eigen__22 ) ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( sP2 = eigen__26 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( ( eigen__9 = eigen__6 )
=> ( eigen__6 = eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> eigen__16 ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( eigen__7 @ eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( ( eps4 @ eigen__7 )
= eigen__32 ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( ( eps5 @ eigen__6 )
= sP24 ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( eigen__5 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> eigen__15 ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( ( eps2 @ eigen__3 )
= eigen__53 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( sP49
=> ( eigen__1 = eigen__6 ) ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( ( eigen__3 = eigen__9 )
=> ( eigen__9 = eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( eps3 = eps5 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( ( eigen__6 @ eigen__40 )
= ( eigen__7 @ eigen__40 ) ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( ( eigen__3 @ eigen__53 )
= ( eigen__0 @ eigen__53 ) ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> eigen__38 ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> eigen__57 ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ( ( eps5 @ eigen__6 )
= eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ! [X1: $o] :
( ( eigen__7 @ X1 )
= ( eigen__4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ( ( eigen__8 @ eigen__24 )
= ( eigen__9 @ eigen__24 ) ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ( ( eps1 @ eigen__9 )
= eigen__44 ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> ( ( eps2 @ eigen__4 )
= eigen__56 ) ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( eigen__8 @ sP48 ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(sP86,plain,
( sP86
<=> ( ( eps1 @ eigen__7 )
= eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP86])]) ).
thf(sP87,plain,
( sP87
<=> ( eigen__3 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP87])]) ).
thf(sP88,plain,
( sP88
<=> ( ( eigen__7 @ eigen__32 )
= ( eigen__2 @ eigen__32 ) ) ),
introduced(definition,[new_symbols(definition,[sP88])]) ).
thf(sP89,plain,
( sP89
<=> ( eigen__7 @ eigen__22 ) ),
introduced(definition,[new_symbols(definition,[sP89])]) ).
thf(sP90,plain,
( sP90
<=> ( ( eigen__0 @ eigen__42 )
= ( eigen__6 @ eigen__42 ) ) ),
introduced(definition,[new_symbols(definition,[sP90])]) ).
thf(sP91,plain,
( sP91
<=> ( eigen__3 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP91])]) ).
thf(sP92,plain,
( sP92
<=> ( eigen__6 @ eigen__63 ) ),
introduced(definition,[new_symbols(definition,[sP92])]) ).
thf(sP93,plain,
( sP93
<=> ! [X1: $o > $o] :
( ( eps1 @ X1 )
= ( eps2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP93])]) ).
thf(sP94,plain,
( sP94
<=> ( eigen__6 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP94])]) ).
thf(sP95,plain,
( sP95
<=> ! [X1: $o] :
( ( eigen__3 @ X1 )
= ( eigen__5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP95])]) ).
thf(sP96,plain,
( sP96
<=> ( ( eps5 @ eigen__6 )
= eigen__40 ) ),
introduced(definition,[new_symbols(definition,[sP96])]) ).
thf(sP97,plain,
( sP97
<=> ( ( eps1 @ eigen__7 )
= ( eps4 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP97])]) ).
thf(sP98,plain,
( sP98
<=> ( ( eps2 @ eigen__4 )
= sP66 ) ),
introduced(definition,[new_symbols(definition,[sP98])]) ).
thf(sP99,plain,
( sP99
<=> ( eps1 @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP99])]) ).
thf(sP100,plain,
( sP100
<=> ( eigen__0 @ eigen__27 ) ),
introduced(definition,[new_symbols(definition,[sP100])]) ).
thf(sP101,plain,
( sP101
<=> ( eigen__4 @ eigen__56 ) ),
introduced(definition,[new_symbols(definition,[sP101])]) ).
thf(sP102,plain,
( sP102
<=> ( eigen__2 @ eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP102])]) ).
thf(sP103,plain,
( sP103
<=> ( eigen__7 @ eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP103])]) ).
thf(sP104,plain,
( sP104
<=> ( ( eigen__4 @ eigen__37 )
= sP51 ) ),
introduced(definition,[new_symbols(definition,[sP104])]) ).
thf(sP105,plain,
( sP105
<=> ( ( eps3 @ eigen__1 )
= eigen__49 ) ),
introduced(definition,[new_symbols(definition,[sP105])]) ).
thf(sP106,plain,
( sP106
<=> ( eigen__1 @ ( eps3 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP106])]) ).
thf(sP107,plain,
( sP107
<=> eigen__26 ),
introduced(definition,[new_symbols(definition,[sP107])]) ).
thf(sP108,plain,
( sP108
<=> eigen__22 ),
introduced(definition,[new_symbols(definition,[sP108])]) ).
thf(sP109,plain,
( sP109
<=> ( eigen__8 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP109])]) ).
thf(sP110,plain,
( sP110
<=> ( ( eps4 @ eigen__2 )
= eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP110])]) ).
thf(sP111,plain,
( sP111
<=> ( ( eps4 @ eigen__7 )
= eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP111])]) ).
thf(sP112,plain,
( sP112
<=> eigen__60 ),
introduced(definition,[new_symbols(definition,[sP112])]) ).
thf(sP113,plain,
( sP113
<=> ( ( eigen__7 = eigen__6 )
=> ( eigen__6 = eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP113])]) ).
thf(sP114,plain,
( sP114
<=> ( ( eps3 @ eigen__2 )
= eigen__61 ) ),
introduced(definition,[new_symbols(definition,[sP114])]) ).
thf(sP115,plain,
( sP115
<=> ( ( eps5 @ eigen__3 )
= sP79 ) ),
introduced(definition,[new_symbols(definition,[sP115])]) ).
thf(sP116,plain,
( sP116
<=> ( ( eigen__9 @ eigen__56 )
= sP101 ) ),
introduced(definition,[new_symbols(definition,[sP116])]) ).
thf(sP117,plain,
( sP117
<=> ( ( eigen__8 = eigen__1 )
=> ( eigen__1 = eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP117])]) ).
thf(sP118,plain,
( sP118
<=> ( eigen__7 @ eigen__32 ) ),
introduced(definition,[new_symbols(definition,[sP118])]) ).
thf(sP119,plain,
( sP119
<=> ( eps4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP119])]) ).
thf(sP120,plain,
( sP120
<=> ( eigen__7 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP120])]) ).
thf(sP121,plain,
( sP121
<=> ( sP9 = eigen__29 ) ),
introduced(definition,[new_symbols(definition,[sP121])]) ).
thf(sP122,plain,
( sP122
<=> ( eigen__1 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP122])]) ).
thf(sP123,plain,
( sP123
<=> ( eigen__6 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP123])]) ).
thf(sP124,plain,
( sP124
<=> eigen__49 ),
introduced(definition,[new_symbols(definition,[sP124])]) ).
thf(sP125,plain,
( sP125
<=> eigen__40 ),
introduced(definition,[new_symbols(definition,[sP125])]) ).
thf(sP126,plain,
( sP126
<=> ( ( eigen__9 @ eigen__21 )
= ( eigen__8 @ eigen__21 ) ) ),
introduced(definition,[new_symbols(definition,[sP126])]) ).
thf(sP127,plain,
( sP127
<=> ( sP99 = eigen__29 ) ),
introduced(definition,[new_symbols(definition,[sP127])]) ).
thf(sP128,plain,
( sP128
<=> ! [X1: $o] :
~ ( eigen__5 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP128])]) ).
thf(sP129,plain,
( sP129
<=> ( eigen__5 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP129])]) ).
thf(sP130,plain,
( sP130
<=> ( ( eigen__2 @ eigen__61 )
= ( eigen__4 @ eigen__61 ) ) ),
introduced(definition,[new_symbols(definition,[sP130])]) ).
thf(sP131,plain,
( sP131
<=> ( eps2 = eps5 ) ),
introduced(definition,[new_symbols(definition,[sP131])]) ).
thf(sP132,plain,
( sP132
<=> ( eigen__9 @ ( eps1 @ eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP132])]) ).
thf(sP133,plain,
( sP133
<=> ( ( eigen__2 = eigen__4 )
=> ( eigen__4 = eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP133])]) ).
thf(sP134,plain,
( sP134
<=> ( ( eps3 @ eigen__1 )
= sP71 ) ),
introduced(definition,[new_symbols(definition,[sP134])]) ).
thf(sP135,plain,
( sP135
<=> ( eigen__7 @ ( eps4 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP135])]) ).
thf(sP136,plain,
( sP136
<=> ! [X1: $o] :
( ( eigen__9 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP136])]) ).
thf(sP137,plain,
( sP137
<=> ( eigen__8 @ eigen__67 ) ),
introduced(definition,[new_symbols(definition,[sP137])]) ).
thf(sP138,plain,
( sP138
<=> ( ( eps5 @ eigen__3 )
= eigen__53 ) ),
introduced(definition,[new_symbols(definition,[sP138])]) ).
thf(sP139,plain,
( sP139
<=> ! [X1: $o] :
( ( eigen__4 @ X1 )
= ( eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP139])]) ).
thf(sP140,plain,
( sP140
<=> ( eps3 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP140])]) ).
thf(sP141,plain,
( sP141
<=> eigen__67 ),
introduced(definition,[new_symbols(definition,[sP141])]) ).
thf(sP142,plain,
( sP142
<=> ( eigen__6 @ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP142])]) ).
thf(sP143,plain,
( sP143
<=> ( eigen__3 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP143])]) ).
thf(sP144,plain,
( sP144
<=> ( eigen__3 @ eigen__53 ) ),
introduced(definition,[new_symbols(definition,[sP144])]) ).
thf(sP145,plain,
( sP145
<=> ( eigen__3 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP145])]) ).
thf(sP146,plain,
( sP146
<=> ( sP2 = eigen__44 ) ),
introduced(definition,[new_symbols(definition,[sP146])]) ).
thf(sP147,plain,
( sP147
<=> ! [X1: $o] :
( ( eigen__5 @ X1 )
= ( eigen__4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP147])]) ).
thf(sP148,plain,
( sP148
<=> ( eigen__4 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP148])]) ).
thf(sP149,plain,
( sP149
<=> ( ( eigen__2 = eigen__1 )
=> ( eigen__1 = eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP149])]) ).
thf(sP150,plain,
( sP150
<=> ( eigen__0 @ sP119 ) ),
introduced(definition,[new_symbols(definition,[sP150])]) ).
thf(sP151,plain,
( sP151
<=> eigen__24 ),
introduced(definition,[new_symbols(definition,[sP151])]) ).
thf(sP152,plain,
( sP152
<=> ( eps1 @ eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP152])]) ).
thf(sP153,plain,
( sP153
<=> ( ( eigen__8 @ eigen__29 )
= ( eigen__5 @ eigen__29 ) ) ),
introduced(definition,[new_symbols(definition,[sP153])]) ).
thf(sP154,plain,
( sP154
<=> ( ( eps3 @ eigen__8 )
= sP48 ) ),
introduced(definition,[new_symbols(definition,[sP154])]) ).
thf(sP155,plain,
( sP155
<=> ( eigen__0 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP155])]) ).
thf(sP156,plain,
( sP156
<=> ( ( eigen__7 = eigen__4 )
=> ( eigen__4 = eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP156])]) ).
thf(sP157,plain,
( sP157
<=> ( sP2 = sP108 ) ),
introduced(definition,[new_symbols(definition,[sP157])]) ).
thf(sP158,plain,
( sP158
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP158])]) ).
thf(sP159,plain,
( sP159
<=> ( ( eps2 @ eigen__4 )
= eigen__37 ) ),
introduced(definition,[new_symbols(definition,[sP159])]) ).
thf(sP160,plain,
( sP160
<=> ( ( eps4 @ eigen__4 )
= sP78 ) ),
introduced(definition,[new_symbols(definition,[sP160])]) ).
thf(sP161,plain,
( sP161
<=> ( ( eigen__3 @ sP79 )
= ( eigen__6 @ sP79 ) ) ),
introduced(definition,[new_symbols(definition,[sP161])]) ).
thf(sP162,plain,
( sP162
<=> ( ( eps3 @ eigen__8 )
= eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP162])]) ).
thf(sP163,plain,
( sP163
<=> ( eigen__6 @ eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP163])]) ).
thf(sP164,plain,
( sP164
<=> ( eigen__4 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP164])]) ).
thf(sP165,plain,
( sP165
<=> ( ( eigen__7 @ sP112 )
= ( eigen__4 @ sP112 ) ) ),
introduced(definition,[new_symbols(definition,[sP165])]) ).
thf(sP166,plain,
( sP166
<=> ( ( eps1 @ eigen__7 )
= eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP166])]) ).
thf(sP167,plain,
( sP167
<=> ( sP100
= ( eigen__1 @ eigen__27 ) ) ),
introduced(definition,[new_symbols(definition,[sP167])]) ).
thf(sP168,plain,
( sP168
<=> ! [X1: $o] :
~ ( eigen__9 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP168])]) ).
thf(sP169,plain,
( sP169
<=> ( eigen__4 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP169])]) ).
thf(sP170,plain,
( sP170
<=> ( sP119 = eigen__53 ) ),
introduced(definition,[new_symbols(definition,[sP170])]) ).
thf(sP171,plain,
( sP171
<=> ( ( eps5 @ eigen__1 )
= eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP171])]) ).
thf(sP172,plain,
( sP172
<=> ( ( eps3 @ eigen__5 )
= sP78 ) ),
introduced(definition,[new_symbols(definition,[sP172])]) ).
thf(sP173,plain,
( sP173
<=> ( eigen__5 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP173])]) ).
thf(sP174,plain,
( sP174
<=> ( eigen__1 @ sP124 ) ),
introduced(definition,[new_symbols(definition,[sP174])]) ).
thf(sP175,plain,
( sP175
<=> ! [X1: $o] :
~ ( eigen__6 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP175])]) ).
thf(sP176,plain,
( sP176
<=> ( eigen__0 @ eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP176])]) ).
thf(sP177,plain,
( sP177
<=> ( ( eps3 @ eigen__8 )
= sP151 ) ),
introduced(definition,[new_symbols(definition,[sP177])]) ).
thf(sP178,plain,
( sP178
<=> ( eigen__1 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP178])]) ).
thf(sP179,plain,
( sP179
<=> ! [X1: $o] :
( ( eigen__4 @ X1 )
= ( eigen__3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP179])]) ).
thf(sP180,plain,
( sP180
<=> ! [X1: $o] :
( ( eigen__0 @ X1 )
= ( eigen__2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP180])]) ).
thf(sP181,plain,
( sP181
<=> ( ( eps4 @ eigen__4 )
= eigen__61 ) ),
introduced(definition,[new_symbols(definition,[sP181])]) ).
thf(sP182,plain,
( sP182
<=> ( eigen__5 @ eigen__29 ) ),
introduced(definition,[new_symbols(definition,[sP182])]) ).
thf(sP183,plain,
( sP183
<=> ( ( eps3 @ eigen__2 )
= eigen__18 ) ),
introduced(definition,[new_symbols(definition,[sP183])]) ).
thf(sP184,plain,
( sP184
<=> ( eigen__4 @ eigen__61 ) ),
introduced(definition,[new_symbols(definition,[sP184])]) ).
thf(sP185,plain,
( sP185
<=> eigen__63 ),
introduced(definition,[new_symbols(definition,[sP185])]) ).
thf(sP186,plain,
( sP186
<=> ( eigen__9 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP186])]) ).
thf(sP187,plain,
( sP187
<=> ( sP119 = eigen__18 ) ),
introduced(definition,[new_symbols(definition,[sP187])]) ).
thf(sP188,plain,
( sP188
<=> ( sP67 = sP12 ) ),
introduced(definition,[new_symbols(definition,[sP188])]) ).
thf(sP189,plain,
( sP189
<=> ( eigen__1 = eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP189])]) ).
thf(sP190,plain,
( sP190
<=> ( eigen__6 @ eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP190])]) ).
thf(sP191,plain,
( sP191
<=> ( sP102
= ( eigen__1 @ eigen__51 ) ) ),
introduced(definition,[new_symbols(definition,[sP191])]) ).
thf(sP192,plain,
( sP192
<=> ( ( eps4 @ eigen__7 )
= sP112 ) ),
introduced(definition,[new_symbols(definition,[sP192])]) ).
thf(sP193,plain,
( sP193
<=> ( eps5 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP193])]) ).
thf(sP194,plain,
( sP194
<=> ! [X1: $o] :
( ( eigen__4 @ X1 )
= ( eigen__0 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP194])]) ).
thf(sP195,plain,
( sP195
<=> ( eigen__4 @ sP34 ) ),
introduced(definition,[new_symbols(definition,[sP195])]) ).
thf(sP196,plain,
( sP196
<=> ( sP193 = eigen__18 ) ),
introduced(definition,[new_symbols(definition,[sP196])]) ).
thf(sP197,plain,
( sP197
<=> ( eps4 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP197])]) ).
thf(sP198,plain,
( sP198
<=> ( eigen__4 @ ( eps2 @ eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP198])]) ).
thf(sP199,plain,
( sP199
<=> ( eigen__2 @ ( eps4 @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP199])]) ).
thf(sP200,plain,
( sP200
<=> ! [X1: $o > $o] :
( ( eps3 @ X1 )
= ( eps5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP200])]) ).
thf(sP201,plain,
( sP201
<=> ( ( eps3 @ eigen__8 )
= sP141 ) ),
introduced(definition,[new_symbols(definition,[sP201])]) ).
thf(sP202,plain,
( sP202
<=> ( sP193 = eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP202])]) ).
thf(sP203,plain,
( sP203
<=> ( ( eps2 @ eigen__3 )
= eigen__48 ) ),
introduced(definition,[new_symbols(definition,[sP203])]) ).
thf(sP204,plain,
( sP204
<=> ( eigen__2 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP204])]) ).
thf(sP205,plain,
( sP205
<=> eigen__29 ),
introduced(definition,[new_symbols(definition,[sP205])]) ).
thf(sP206,plain,
( sP206
<=> ( eigen__2 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP206])]) ).
thf(sP207,plain,
( sP207
<=> ( sP9 = eigen__48 ) ),
introduced(definition,[new_symbols(definition,[sP207])]) ).
thf(sP208,plain,
( sP208
<=> ! [X1: $o] :
( ( eigen__9 @ X1 )
= ( eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP208])]) ).
thf(sP209,plain,
( sP209
<=> ( ( eps3 @ eigen__2 )
= eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP209])]) ).
thf(sP210,plain,
( sP210
<=> ( eps1 = eps2 ) ),
introduced(definition,[new_symbols(definition,[sP210])]) ).
thf(sP211,plain,
( sP211
<=> ! [X1: $o > $o] :
( ( eigen__1 = X1 )
=> ( X1 = eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP211])]) ).
thf(sP212,plain,
( sP212
<=> ! [X1: $o] :
( ( eigen__0 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP212])]) ).
thf(sP213,plain,
( sP213
<=> ( eigen__9 @ sP107 ) ),
introduced(definition,[new_symbols(definition,[sP213])]) ).
thf(sP214,plain,
( sP214
<=> ( eigen__7 @ ( eps1 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP214])]) ).
thf(sP215,plain,
( sP215
<=> ( eigen__7 @ eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP215])]) ).
thf(sP216,plain,
( sP216
<=> ( ( eps5 @ eigen__6 )
= eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP216])]) ).
thf(sP217,plain,
( sP217
<=> ( sP189
=> sP49 ) ),
introduced(definition,[new_symbols(definition,[sP217])]) ).
thf(sP218,plain,
( sP218
<=> ( eigen__8 @ sP205 ) ),
introduced(definition,[new_symbols(definition,[sP218])]) ).
thf(sP219,plain,
( sP219
<=> ( eigen__9 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP219])]) ).
thf(sP220,plain,
( sP220
<=> ( sP9 = eigen__45 ) ),
introduced(definition,[new_symbols(definition,[sP220])]) ).
thf(sP221,plain,
( sP221
<=> ( ( eps4 @ eigen__4 )
= eigen__56 ) ),
introduced(definition,[new_symbols(definition,[sP221])]) ).
thf(sP222,plain,
( sP222
<=> ( sP9 = sP78 ) ),
introduced(definition,[new_symbols(definition,[sP222])]) ).
thf(sP223,plain,
( sP223
<=> ( eps3 = eps4 ) ),
introduced(definition,[new_symbols(definition,[sP223])]) ).
thf(sP224,plain,
( sP224
<=> ( ( eigen__4 @ eigen__35 )
= ( eigen__3 @ eigen__35 ) ) ),
introduced(definition,[new_symbols(definition,[sP224])]) ).
thf(sP225,plain,
( sP225
<=> ( ( eps4 @ eigen__2 )
= eigen__32 ) ),
introduced(definition,[new_symbols(definition,[sP225])]) ).
thf(sP226,plain,
( sP226
<=> ( ( eigen__0 @ sP66 )
= ( eigen__4 @ sP66 ) ) ),
introduced(definition,[new_symbols(definition,[sP226])]) ).
thf(sP227,plain,
( sP227
<=> ( eigen__0 @ sP66 ) ),
introduced(definition,[new_symbols(definition,[sP227])]) ).
thf(sP228,plain,
( sP228
<=> ( eigen__7 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP228])]) ).
thf(sP229,plain,
( sP229
<=> ! [X1: $o > $o] :
( ( eigen__7 = X1 )
=> ( X1 = eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP229])]) ).
thf(sP230,plain,
( sP230
<=> ! [X1: $o] :
( ( eigen__0 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP230])]) ).
thf(sP231,plain,
( sP231
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP231])]) ).
thf(sP232,plain,
( sP232
<=> ( sP193 = sP66 ) ),
introduced(definition,[new_symbols(definition,[sP232])]) ).
thf(sP233,plain,
( sP233
<=> ( eigen__3 @ sP124 ) ),
introduced(definition,[new_symbols(definition,[sP233])]) ).
thf(sP234,plain,
( sP234
<=> ! [X1: $o > $o] :
( ( eigen__9 = X1 )
=> ( X1 = eigen__9 ) ) ),
introduced(definition,[new_symbols(definition,[sP234])]) ).
thf(sP235,plain,
( sP235
<=> ( ( eigen__4 = eigen__0 )
=> ( eigen__0 = eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP235])]) ).
thf(sP236,plain,
( sP236
<=> ( eigen__3 @ eigen__44 ) ),
introduced(definition,[new_symbols(definition,[sP236])]) ).
thf(sP237,plain,
( sP237
<=> ( ( eigen__3 = eigen__1 )
=> sP122 ) ),
introduced(definition,[new_symbols(definition,[sP237])]) ).
thf(sP238,plain,
( sP238
<=> ( eigen__5 @ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP238])]) ).
thf(sP239,plain,
( sP239
<=> ( sP99 = eigen__10 ) ),
introduced(definition,[new_symbols(definition,[sP239])]) ).
thf(sP240,plain,
( sP240
<=> ( eigen__6 @ sP107 ) ),
introduced(definition,[new_symbols(definition,[sP240])]) ).
thf(sP241,plain,
( sP241
<=> ( eigen__1 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP241])]) ).
thf(sP242,plain,
( sP242
<=> ( eigen__3 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP242])]) ).
thf(sP243,plain,
( sP243
<=> eigen__53 ),
introduced(definition,[new_symbols(definition,[sP243])]) ).
thf(sP244,plain,
( sP244
<=> ( sP195
= ( eigen__0 @ sP34 ) ) ),
introduced(definition,[new_symbols(definition,[sP244])]) ).
thf(sP245,plain,
( sP245
<=> ( ( eigen__9 = eigen__4 )
=> sP148 ) ),
introduced(definition,[new_symbols(definition,[sP245])]) ).
thf(sP246,plain,
( sP246
<=> ( sP152 = sP185 ) ),
introduced(definition,[new_symbols(definition,[sP246])]) ).
thf(sP247,plain,
( sP247
<=> ( ( eigen__5 @ eigen__45 )
= sP37 ) ),
introduced(definition,[new_symbols(definition,[sP247])]) ).
thf(sP248,plain,
( sP248
<=> ! [X1: $o] :
~ ( eigen__8 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP248])]) ).
thf(sP249,plain,
( sP249
<=> eigen__17 ),
introduced(definition,[new_symbols(definition,[sP249])]) ).
thf(sP250,plain,
( sP250
<=> ( eps1 = eps5 ) ),
introduced(definition,[new_symbols(definition,[sP250])]) ).
thf(sP251,plain,
( sP251
<=> ( eigen__9 @ eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP251])]) ).
thf(sP252,plain,
( sP252
<=> ( ( eigen__4 = eigen__3 )
=> sP143 ) ),
introduced(definition,[new_symbols(definition,[sP252])]) ).
thf(sP253,plain,
( sP253
<=> ( eigen__3 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP253])]) ).
thf(sP254,plain,
( sP254
<=> ( sP140 = sP48 ) ),
introduced(definition,[new_symbols(definition,[sP254])]) ).
thf(sP255,plain,
( sP255
<=> ( eigen__8 @ sP99 ) ),
introduced(definition,[new_symbols(definition,[sP255])]) ).
thf(sP256,plain,
( sP256
<=> ( sP119 = sP193 ) ),
introduced(definition,[new_symbols(definition,[sP256])]) ).
thf(sP257,plain,
( sP257
<=> ( eigen__1 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP257])]) ).
thf(sP258,plain,
( sP258
<=> ( ( eps2 @ eigen__3 )
= sP124 ) ),
introduced(definition,[new_symbols(definition,[sP258])]) ).
thf(sP259,plain,
( sP259
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP259])]) ).
thf(sP260,plain,
( sP260
<=> ( sP140 = eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP260])]) ).
thf(sP261,plain,
( sP261
<=> ( ( eps5 @ eigen__3 )
= sP32 ) ),
introduced(definition,[new_symbols(definition,[sP261])]) ).
thf(sP262,plain,
( sP262
<=> ( eigen__5 @ sP78 ) ),
introduced(definition,[new_symbols(definition,[sP262])]) ).
thf(sP263,plain,
( sP263
<=> ( ( eps1 @ eigen__7 )
= sP141 ) ),
introduced(definition,[new_symbols(definition,[sP263])]) ).
thf(sP264,plain,
( sP264
<=> ( sP99 = sP48 ) ),
introduced(definition,[new_symbols(definition,[sP264])]) ).
thf(sP265,plain,
( sP265
<=> ( eigen__2 @ eigen__61 ) ),
introduced(definition,[new_symbols(definition,[sP265])]) ).
thf(sP266,plain,
( sP266
<=> eigen__18 ),
introduced(definition,[new_symbols(definition,[sP266])]) ).
thf(sP267,plain,
( sP267
<=> ( ( eps3 @ eigen__2 )
= eigen__30 ) ),
introduced(definition,[new_symbols(definition,[sP267])]) ).
thf(sP268,plain,
( sP268
<=> ( ( eigen__9 @ eigen__23 )
= ( eigen__6 @ eigen__23 ) ) ),
introduced(definition,[new_symbols(definition,[sP268])]) ).
thf(sP269,plain,
( sP269
<=> ! [X1: $o] :
~ ( eigen__1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP269])]) ).
thf(sP270,plain,
( sP270
<=> ! [X1: $o] :
( ( eigen__4 @ X1 )
= ( eigen__5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP270])]) ).
thf(sP271,plain,
( sP271
<=> ( eigen__7 @ sP112 ) ),
introduced(definition,[new_symbols(definition,[sP271])]) ).
thf(sP272,plain,
( sP272
<=> ( ( eps3 @ eigen__2 )
= ( eps4 @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP272])]) ).
thf(sP273,plain,
( sP273
<=> ( ( eps5 @ eigen__1 )
= eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP273])]) ).
thf(sP274,plain,
( sP274
<=> ( ( eps1 @ eigen__7 )
= sP24 ) ),
introduced(definition,[new_symbols(definition,[sP274])]) ).
thf(sP275,plain,
( sP275
<=> ( eps5 @ eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP275])]) ).
thf(sP276,plain,
( sP276
<=> ( ( eigen__6 = eigen__9 )
=> sP186 ) ),
introduced(definition,[new_symbols(definition,[sP276])]) ).
thf(sP277,plain,
( sP277
<=> ( eigen__2 @ eigen__30 ) ),
introduced(definition,[new_symbols(definition,[sP277])]) ).
thf(sP278,plain,
( sP278
<=> ( eigen__9 @ sP151 ) ),
introduced(definition,[new_symbols(definition,[sP278])]) ).
thf(sP279,plain,
( sP279
<=> ( ( eigen__3 @ eigen__48 )
= ( eigen__5 @ eigen__48 ) ) ),
introduced(definition,[new_symbols(definition,[sP279])]) ).
thf(sP280,plain,
( sP280
<=> ( ( eps3 @ eigen__2 )
= eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP280])]) ).
thf(sP281,plain,
( sP281
<=> ( sP140 = eigen__27 ) ),
introduced(definition,[new_symbols(definition,[sP281])]) ).
thf(sP282,plain,
( sP282
<=> ( eigen__1 @ eigen__51 ) ),
introduced(definition,[new_symbols(definition,[sP282])]) ).
thf(sP283,plain,
( sP283
<=> ( eigen__2 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP283])]) ).
thf(sP284,plain,
( sP284
<=> eigen__37 ),
introduced(definition,[new_symbols(definition,[sP284])]) ).
thf(sP285,plain,
( sP285
<=> ( eigen__3 @ ( eps2 @ eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP285])]) ).
thf(sP286,plain,
( sP286
<=> ( eigen__4 @ eigen__35 ) ),
introduced(definition,[new_symbols(definition,[sP286])]) ).
thf(sP287,plain,
( sP287
<=> ! [X1: $o > $o] :
( ( eps1 @ X1 )
= ( eps3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP287])]) ).
thf(sP288,plain,
( sP288
<=> ( eigen__4 @ sP284 ) ),
introduced(definition,[new_symbols(definition,[sP288])]) ).
thf(sP289,plain,
( sP289
<=> ( eigen__2 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP289])]) ).
thf(sP290,plain,
( sP290
<=> ( ( eps2 @ eigen__4 )
= ( eps4 @ eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP290])]) ).
thf(sP291,plain,
( sP291
<=> ( eigen__5 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP291])]) ).
thf(sP292,plain,
( sP292
<=> ! [X1: $o] :
( ( eigen__3 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP292])]) ).
thf(sP293,plain,
( sP293
<=> eigen__56 ),
introduced(definition,[new_symbols(definition,[sP293])]) ).
thf(sP294,plain,
( sP294
<=> ( sP54
= ( eigen__7 @ eigen__64 ) ) ),
introduced(definition,[new_symbols(definition,[sP294])]) ).
thf(sP295,plain,
( sP295
<=> ! [X1: $o] :
~ ( eigen__2 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP295])]) ).
thf(sP296,plain,
( sP296
<=> ( eigen__9 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP296])]) ).
thf(sP297,plain,
( sP297
<=> ( sP119 = eigen__27 ) ),
introduced(definition,[new_symbols(definition,[sP297])]) ).
thf(sP298,plain,
( sP298
<=> ( eigen__0 @ eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP298])]) ).
thf(sP299,plain,
( sP299
<=> ! [X1: $o] :
( ( eigen__9 @ X1 )
= ( eigen__4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP299])]) ).
thf(sP300,plain,
( sP300
<=> ! [X1: $o] :
~ ( eigen__7 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP300])]) ).
thf(sP301,plain,
( sP301
<=> ( sP99
= ( eps3 @ eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP301])]) ).
thf(sP302,plain,
( sP302
<=> ( eps3 @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP302])]) ).
thf(sP303,plain,
( sP303
<=> ( sP119 = sP249 ) ),
introduced(definition,[new_symbols(definition,[sP303])]) ).
thf(sP304,plain,
( sP304
<=> ( ( eps2 @ eigen__4 )
= eigen__61 ) ),
introduced(definition,[new_symbols(definition,[sP304])]) ).
thf(sP305,plain,
( sP305
<=> ( sP119 = sP66 ) ),
introduced(definition,[new_symbols(definition,[sP305])]) ).
thf(sP306,plain,
( sP306
<=> ( eigen__1 @ ( eps5 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP306])]) ).
thf(sP307,plain,
( sP307
<=> ( ( eps1 @ eigen__7 )
= sP125 ) ),
introduced(definition,[new_symbols(definition,[sP307])]) ).
thf(sP308,plain,
( sP308
<=> ( sP197 = sP24 ) ),
introduced(definition,[new_symbols(definition,[sP308])]) ).
thf(sP309,plain,
( sP309
<=> ( ( eigen__7 @ sP24 )
= sP142 ) ),
introduced(definition,[new_symbols(definition,[sP309])]) ).
thf(sP310,plain,
( sP310
<=> ( ( eps2 @ eigen__3 )
= eigen__44 ) ),
introduced(definition,[new_symbols(definition,[sP310])]) ).
thf(sP311,plain,
( sP311
<=> ( eigen__0 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP311])]) ).
thf(sP312,plain,
( sP312
<=> ( eigen__7 @ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP312])]) ).
thf(sP313,plain,
( sP313
<=> ( eigen__1 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP313])]) ).
thf(sP314,plain,
( sP314
<=> ( eps2 = eps4 ) ),
introduced(definition,[new_symbols(definition,[sP314])]) ).
thf(sP315,plain,
( sP315
<=> ( ( eps1 @ eigen__9 )
= eigen__45 ) ),
introduced(definition,[new_symbols(definition,[sP315])]) ).
thf(sP316,plain,
( sP316
<=> ( eigen__8 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP316])]) ).
thf(sP317,plain,
( sP317
<=> ( sP240 = sP213 ) ),
introduced(definition,[new_symbols(definition,[sP317])]) ).
thf(sP318,plain,
( sP318
<=> ( eps5 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP318])]) ).
thf(sP319,plain,
( sP319
<=> eigen__27 ),
introduced(definition,[new_symbols(definition,[sP319])]) ).
thf(sP320,plain,
( sP320
<=> eigen__23 ),
introduced(definition,[new_symbols(definition,[sP320])]) ).
thf(sP321,plain,
( sP321
<=> ( sP2 = sP293 ) ),
introduced(definition,[new_symbols(definition,[sP321])]) ).
thf(sP322,plain,
( sP322
<=> ( eigen__5 @ eigen__45 ) ),
introduced(definition,[new_symbols(definition,[sP322])]) ).
thf(sP323,plain,
( sP323
<=> ( eps2 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP323])]) ).
thf(sP324,plain,
( sP324
<=> ! [X1: $o > $o] :
( ( eigen__0 = X1 )
=> ( X1 = eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP324])]) ).
thf(sP325,plain,
( sP325
<=> ( ( eigen__8 = eigen__5 )
=> sP129 ) ),
introduced(definition,[new_symbols(definition,[sP325])]) ).
thf(sP326,plain,
( sP326
<=> ( sP233 = sP174 ) ),
introduced(definition,[new_symbols(definition,[sP326])]) ).
thf(sP327,plain,
( sP327
<=> ( sP91
=> sP94 ) ),
introduced(definition,[new_symbols(definition,[sP327])]) ).
thf(sP328,plain,
( sP328
<=> ( sP318 = sP71 ) ),
introduced(definition,[new_symbols(definition,[sP328])]) ).
thf(sP329,plain,
( sP329
<=> ( ( eigen__1 @ sP32 )
= ( eigen__3 @ sP32 ) ) ),
introduced(definition,[new_symbols(definition,[sP329])]) ).
thf(sP330,plain,
( sP330
<=> ( eigen__3 @ eigen__48 ) ),
introduced(definition,[new_symbols(definition,[sP330])]) ).
thf(sP331,plain,
( sP331
<=> ( eps2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP331])]) ).
thf(sP332,plain,
( sP332
<=> ! [X1: $o] :
( ( eigen__2 @ X1 )
= ( eigen__0 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP332])]) ).
thf(sP333,plain,
( sP333
<=> ( sP302 = sP71 ) ),
introduced(definition,[new_symbols(definition,[sP333])]) ).
thf(sP334,plain,
( sP334
<=> ( ( eps4 @ eigen__4 )
= sP112 ) ),
introduced(definition,[new_symbols(definition,[sP334])]) ).
thf(sP335,plain,
( sP335
<=> ( eigen__8 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP335])]) ).
thf(sP336,plain,
( sP336
<=> ! [X1: $o] :
( ( eigen__3 @ X1 )
= ( eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP336])]) ).
thf(sP337,plain,
( sP337
<=> ( sP193 = eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP337])]) ).
thf(sP338,plain,
( sP338
<=> ( eigen__6 @ sP320 ) ),
introduced(definition,[new_symbols(definition,[sP338])]) ).
thf(sP339,plain,
( sP339
<=> ! [X1: $o > $o] :
( ( eps2 @ X1 )
= ( eps3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP339])]) ).
thf(sP340,plain,
( sP340
<=> ( eigen__8 = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP340])]) ).
thf(sP341,plain,
( sP341
<=> ( eigen__1 @ eigen__28 ) ),
introduced(definition,[new_symbols(definition,[sP341])]) ).
thf(sP342,plain,
( sP342
<=> ( ( eigen__0 @ sP266 )
= ( eigen__2 @ sP266 ) ) ),
introduced(definition,[new_symbols(definition,[sP342])]) ).
thf(sP343,plain,
( sP343
<=> ( eigen__1 @ eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP343])]) ).
thf(sP344,plain,
( sP344
<=> ( eigen__6 @ sP79 ) ),
introduced(definition,[new_symbols(definition,[sP344])]) ).
thf(sP345,plain,
( sP345
<=> ( sP193 = sP319 ) ),
introduced(definition,[new_symbols(definition,[sP345])]) ).
thf(sP346,plain,
( sP346
<=> ( eigen__6 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP346])]) ).
thf(sP347,plain,
( sP347
<=> ( eigen__2 @ eigen__19 ) ),
introduced(definition,[new_symbols(definition,[sP347])]) ).
thf(sP348,plain,
( sP348
<=> ( sP119 = eigen__42 ) ),
introduced(definition,[new_symbols(definition,[sP348])]) ).
thf(sP349,plain,
( sP349
<=> ( eigen__6 @ sP275 ) ),
introduced(definition,[new_symbols(definition,[sP349])]) ).
thf(sP350,plain,
( sP350
<=> ( eigen__9 @ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP350])]) ).
thf(sP351,plain,
( sP351
<=> ( sP318 = sP319 ) ),
introduced(definition,[new_symbols(definition,[sP351])]) ).
thf(sP352,plain,
( sP352
<=> ! [X1: $o > $o] :
( ( eigen__4 = X1 )
=> ( X1 = eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP352])]) ).
thf(sP353,plain,
( sP353
<=> ( sP323 = sP78 ) ),
introduced(definition,[new_symbols(definition,[sP353])]) ).
thf(sP354,plain,
( sP354
<=> eigen__51 ),
introduced(definition,[new_symbols(definition,[sP354])]) ).
thf(sP355,plain,
( sP355
<=> ( sP343 = sP190 ) ),
introduced(definition,[new_symbols(definition,[sP355])]) ).
thf(sP356,plain,
( sP356
<=> ! [X1: $o] :
( ( eigen__6 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP356])]) ).
thf(sP357,plain,
( sP357
<=> ( sP152 = sP125 ) ),
introduced(definition,[new_symbols(definition,[sP357])]) ).
thf(sP358,plain,
( sP358
<=> eigen__61 ),
introduced(definition,[new_symbols(definition,[sP358])]) ).
thf(sP359,plain,
( sP359
<=> ( eigen__2 @ sP266 ) ),
introduced(definition,[new_symbols(definition,[sP359])]) ).
thf(sP360,plain,
( sP360
<=> eigen__45 ),
introduced(definition,[new_symbols(definition,[sP360])]) ).
thf(sP361,plain,
( sP361
<=> eigen__10 ),
introduced(definition,[new_symbols(definition,[sP361])]) ).
thf(sP362,plain,
( sP362
<=> ( sP2 = sP360 ) ),
introduced(definition,[new_symbols(definition,[sP362])]) ).
thf(sP363,plain,
( sP363
<=> ( ( eps1 @ eigen__9 )
= sP108 ) ),
introduced(definition,[new_symbols(definition,[sP363])]) ).
thf(sP364,plain,
( sP364
<=> ( ( eps4 @ eigen__2 )
= eigen__30 ) ),
introduced(definition,[new_symbols(definition,[sP364])]) ).
thf(sP365,plain,
( sP365
<=> ( eigen__0 @ sP193 ) ),
introduced(definition,[new_symbols(definition,[sP365])]) ).
thf(sP366,plain,
( sP366
<=> ( ( eps1 @ eigen__9 )
= sP2 ) ),
introduced(definition,[new_symbols(definition,[sP366])]) ).
thf(sP367,plain,
( sP367
<=> ( sP262
= ( eigen__4 @ sP78 ) ) ),
introduced(definition,[new_symbols(definition,[sP367])]) ).
thf(sP368,plain,
( sP368
<=> ( eigen__9 @ sP293 ) ),
introduced(definition,[new_symbols(definition,[sP368])]) ).
thf(sP369,plain,
( sP369
<=> ( ( eps1 @ eigen__9 )
= sP151 ) ),
introduced(definition,[new_symbols(definition,[sP369])]) ).
thf(sP370,plain,
( sP370
<=> ( eps3 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP370])]) ).
thf(sP371,plain,
( sP371
<=> ( eigen__9 @ sP108 ) ),
introduced(definition,[new_symbols(definition,[sP371])]) ).
thf(sP372,plain,
( sP372
<=> ( ( eps5 @ eigen__3 )
= sP124 ) ),
introduced(definition,[new_symbols(definition,[sP372])]) ).
thf(sP373,plain,
( sP373
<=> ( sP55
= ( eigen__1 @ sP71 ) ) ),
introduced(definition,[new_symbols(definition,[sP373])]) ).
thf(sP374,plain,
( sP374
<=> ( eigen__1 @ sP319 ) ),
introduced(definition,[new_symbols(definition,[sP374])]) ).
thf(sP375,plain,
( sP375
<=> ( sP323 = eigen__35 ) ),
introduced(definition,[new_symbols(definition,[sP375])]) ).
thf(sP376,plain,
( sP376
<=> ! [X1: $o] :
( ( eigen__2 @ X1 )
= ( eigen__4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP376])]) ).
thf(sP377,plain,
( sP377
<=> ( ( eps1 @ eigen__9 )
= eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP377])]) ).
thf(sP378,plain,
( sP378
<=> ( eigen__4 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP378])]) ).
thf(sP379,plain,
( sP379
<=> ( sP2 = eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP379])]) ).
thf(sP380,plain,
( sP380
<=> ( sP9 = sP71 ) ),
introduced(definition,[new_symbols(definition,[sP380])]) ).
thf(sP381,plain,
( sP381
<=> ( sP197 = sP141 ) ),
introduced(definition,[new_symbols(definition,[sP381])]) ).
thf(sP382,plain,
( sP382
<=> ( eps5 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP382])]) ).
thf(sP383,plain,
( sP383
<=> ! [X1: $o > $o] :
( ( eps2 @ X1 )
= ( eps4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP383])]) ).
thf(sP384,plain,
( sP384
<=> ( sP176 = sP215 ) ),
introduced(definition,[new_symbols(definition,[sP384])]) ).
thf(sP385,plain,
( sP385
<=> ( eigen__8 @ sP151 ) ),
introduced(definition,[new_symbols(definition,[sP385])]) ).
thf(sP386,plain,
( sP386
<=> ( sP99 = eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP386])]) ).
thf(sP387,plain,
( sP387
<=> ( eigen__8 = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP387])]) ).
thf(sP388,plain,
( sP388
<=> ( ( eps1 @ eigen__9 )
= sP293 ) ),
introduced(definition,[new_symbols(definition,[sP388])]) ).
thf(sP389,plain,
( sP389
<=> ( eigen__3 @ sP32 ) ),
introduced(definition,[new_symbols(definition,[sP389])]) ).
thf(sP390,plain,
( sP390
<=> ( eigen__6 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP390])]) ).
thf(sP391,plain,
( sP391
<=> ( sP302 = eigen__30 ) ),
introduced(definition,[new_symbols(definition,[sP391])]) ).
thf(sP392,plain,
( sP392
<=> ( eigen__2 @ sP370 ) ),
introduced(definition,[new_symbols(definition,[sP392])]) ).
thf(sP393,plain,
( sP393
<=> ( sP99 = sP141 ) ),
introduced(definition,[new_symbols(definition,[sP393])]) ).
thf(sP394,plain,
( sP394
<=> ( ( eps4 @ eigen__2 )
= eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP394])]) ).
thf(sP395,plain,
( sP395
<=> ( eigen__0 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP395])]) ).
thf(sP396,plain,
( sP396
<=> ( sP2 = sP320 ) ),
introduced(definition,[new_symbols(definition,[sP396])]) ).
thf(sP397,plain,
( sP397
<=> ( sP206
=> sP311 ) ),
introduced(definition,[new_symbols(definition,[sP397])]) ).
thf(sP398,plain,
( sP398
<=> ( eigen__4 @ sP78 ) ),
introduced(definition,[new_symbols(definition,[sP398])]) ).
thf(sP399,plain,
( sP399
<=> ( eigen__8 @ eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP399])]) ).
thf(sP400,plain,
( sP400
<=> ! [X1: $o] :
( ( eigen__2 @ X1 )
= ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP400])]) ).
thf(sP401,plain,
( sP401
<=> ( sP302 = sP284 ) ),
introduced(definition,[new_symbols(definition,[sP401])]) ).
thf(sP402,plain,
( sP402
<=> ( ( eps4 @ eigen__4 )
= sP66 ) ),
introduced(definition,[new_symbols(definition,[sP402])]) ).
thf(sP403,plain,
( sP403
<=> ( eps4 = eps5 ) ),
introduced(definition,[new_symbols(definition,[sP403])]) ).
thf(sP404,plain,
( sP404
<=> ( eigen__8 = eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP404])]) ).
thf(sP405,plain,
( sP405
<=> eigen__32 ),
introduced(definition,[new_symbols(definition,[sP405])]) ).
thf(sP406,plain,
( sP406
<=> ( eigen__9 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP406])]) ).
thf(sP407,plain,
( sP407
<=> ( eigen__9 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP407])]) ).
thf(sP408,plain,
( sP408
<=> ( ( eps1 @ eigen__9 )
= sP107 ) ),
introduced(definition,[new_symbols(definition,[sP408])]) ).
thf(sP409,plain,
( sP409
<=> ( eigen__0 @ sP243 ) ),
introduced(definition,[new_symbols(definition,[sP409])]) ).
thf(sP410,plain,
( sP410
<=> ( eps4 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP410])]) ).
thf(sP411,plain,
( sP411
<=> ( sP152 = sP275 ) ),
introduced(definition,[new_symbols(definition,[sP411])]) ).
thf(sP412,plain,
( sP412
<=> ( eigen__5 @ eigen__48 ) ),
introduced(definition,[new_symbols(definition,[sP412])]) ).
thf(sP413,plain,
( sP413
<=> ( sP410 = sP266 ) ),
introduced(definition,[new_symbols(definition,[sP413])]) ).
thf(sP414,plain,
( sP414
<=> ( ( eigen__6 @ eigen__28 )
= sP341 ) ),
introduced(definition,[new_symbols(definition,[sP414])]) ).
thf(sP415,plain,
( sP415
<=> ( eps2 = eps3 ) ),
introduced(definition,[new_symbols(definition,[sP415])]) ).
thf(sP416,plain,
( sP416
<=> ( sP410 = sP358 ) ),
introduced(definition,[new_symbols(definition,[sP416])]) ).
thf(sP417,plain,
( sP417
<=> ( sP140 = eigen__43 ) ),
introduced(definition,[new_symbols(definition,[sP417])]) ).
thf(sP418,plain,
( sP418
<=> ( sP277
= ( eigen__5 @ eigen__30 ) ) ),
introduced(definition,[new_symbols(definition,[sP418])]) ).
thf(sP419,plain,
( sP419
<=> ( eigen__6 @ sP125 ) ),
introduced(definition,[new_symbols(definition,[sP419])]) ).
thf(sP420,plain,
( sP420
<=> ! [X1: $o > $o] :
( ( eigen__5 = X1 )
=> ( X1 = eigen__5 ) ) ),
introduced(definition,[new_symbols(definition,[sP420])]) ).
thf(sP421,plain,
( sP421
<=> ( sP85 = sP21 ) ),
introduced(definition,[new_symbols(definition,[sP421])]) ).
thf(sP422,plain,
( sP422
<=> ( sP275 = sP107 ) ),
introduced(definition,[new_symbols(definition,[sP422])]) ).
thf(sP423,plain,
( sP423
<=> ( ( eigen__7 = eigen__2 )
=> sP204 ) ),
introduced(definition,[new_symbols(definition,[sP423])]) ).
thf(sP424,plain,
( sP424
<=> ( sP9 = eigen__30 ) ),
introduced(definition,[new_symbols(definition,[sP424])]) ).
thf(sP425,plain,
( sP425
<=> eigen__30 ),
introduced(definition,[new_symbols(definition,[sP425])]) ).
thf(sP426,plain,
( sP426
<=> ( sP9 = sP284 ) ),
introduced(definition,[new_symbols(definition,[sP426])]) ).
thf(sP427,plain,
( sP427
<=> ( eigen__8 @ sP185 ) ),
introduced(definition,[new_symbols(definition,[sP427])]) ).
thf(sP428,plain,
( sP428
<=> eigen__44 ),
introduced(definition,[new_symbols(definition,[sP428])]) ).
thf(sP429,plain,
( sP429
<=> ! [X1: $o > $o] :
( ( eigen__8 = X1 )
=> ( X1 = eigen__8 ) ) ),
introduced(definition,[new_symbols(definition,[sP429])]) ).
thf(sP430,plain,
( sP430
<=> ! [X1: $o] :
~ ( eigen__3 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP430])]) ).
thf(sP431,plain,
( sP431
<=> ( sP99 = sP185 ) ),
introduced(definition,[new_symbols(definition,[sP431])]) ).
thf(sP432,plain,
( sP432
<=> ( eigen__3 @ sP79 ) ),
introduced(definition,[new_symbols(definition,[sP432])]) ).
thf(sP433,plain,
( sP433
<=> ! [X1: $o] :
( ( eigen__0 @ X1 )
= ( eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP433])]) ).
thf(sP434,plain,
( sP434
<=> ! [X1: $o] :
( ( eigen__7 @ X1 )
= ( eigen__2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP434])]) ).
thf(sP435,plain,
( sP435
<=> ( eigen__0 = eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP435])]) ).
thf(sP436,plain,
( sP436
<=> ( eigen__5 @ sP425 ) ),
introduced(definition,[new_symbols(definition,[sP436])]) ).
thf(sP437,plain,
( sP437
<=> ! [X1: $o] :
~ ( eigen__4 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP437])]) ).
thf(sP438,plain,
( sP438
<=> ( sP193 = sP243 ) ),
introduced(definition,[new_symbols(definition,[sP438])]) ).
thf(sP439,plain,
( sP439
<=> ! [X1: $o] :
~ ( eigen__0 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP439])]) ).
thf(sP440,plain,
( sP440
<=> ( sP311
=> sP206 ) ),
introduced(definition,[new_symbols(definition,[sP440])]) ).
thf(sP441,plain,
( sP441
<=> ( sP331 = sP79 ) ),
introduced(definition,[new_symbols(definition,[sP441])]) ).
thf(sP442,plain,
( sP442
<=> ( sP155
=> ( eigen__7 = eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP442])]) ).
thf(sP443,plain,
( sP443
<=> ( eigen__7 = eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP443])]) ).
thf(sP444,plain,
( sP444
<=> ( eigen__2 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP444])]) ).
thf(sP445,plain,
( sP445
<=> ( ( eps1 @ eigen__7 )
= sP112 ) ),
introduced(definition,[new_symbols(definition,[sP445])]) ).
thf(sP446,plain,
( sP446
<=> ( eigen__1 @ sP71 ) ),
introduced(definition,[new_symbols(definition,[sP446])]) ).
thf(sP447,plain,
( sP447
<=> ! [X1: $o] :
( ( eigen__6 @ X1 )
= ( eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP447])]) ).
thf(sP448,plain,
( sP448
<=> ( ( eps4 @ eigen__4 )
= eigen__35 ) ),
introduced(definition,[new_symbols(definition,[sP448])]) ).
thf(sP449,plain,
( sP449
<=> eigen__12 ),
introduced(definition,[new_symbols(definition,[sP449])]) ).
thf(sP450,plain,
( sP450
<=> ( sP323 = sP112 ) ),
introduced(definition,[new_symbols(definition,[sP450])]) ).
thf(sP451,plain,
( sP451
<=> ( eigen__5 @ sP302 ) ),
introduced(definition,[new_symbols(definition,[sP451])]) ).
thf(sP452,plain,
( sP452
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP452])]) ).
thf(sP453,plain,
( sP453
<=> ! [X1: $o] :
( ( eigen__7 @ X1 )
= ( eigen__8 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP453])]) ).
thf(sP454,plain,
( sP454
<=> ( sP323 = sP34 ) ),
introduced(definition,[new_symbols(definition,[sP454])]) ).
thf(sP455,plain,
( sP455
<=> eigen__35 ),
introduced(definition,[new_symbols(definition,[sP455])]) ).
thf(sP456,plain,
( sP456
<=> ! [X1: $o > $o] :
( ( eps4 @ X1 )
= ( eps5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP456])]) ).
thf(sP457,plain,
( sP457
<=> ( eigen__7 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP457])]) ).
thf(sP458,plain,
( sP458
<=> ( sP275 = sP320 ) ),
introduced(definition,[new_symbols(definition,[sP458])]) ).
thf(sP459,plain,
( sP459
<=> ( sP253
=> sP435 ) ),
introduced(definition,[new_symbols(definition,[sP459])]) ).
thf(sP460,plain,
( sP460
<=> ( eigen__4 = eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP460])]) ).
thf(sP461,plain,
( sP461
<=> ( eigen__2 @ sP405 ) ),
introduced(definition,[new_symbols(definition,[sP461])]) ).
thf(sP462,plain,
( sP462
<=> ( sP152 = sP107 ) ),
introduced(definition,[new_symbols(definition,[sP462])]) ).
thf(sP463,plain,
( sP463
<=> ( ( eps3 @ eigen__8 )
= sP205 ) ),
introduced(definition,[new_symbols(definition,[sP463])]) ).
thf(sP464,plain,
( sP464
<=> ( sP318 = sP48 ) ),
introduced(definition,[new_symbols(definition,[sP464])]) ).
thf(sP465,plain,
( sP465
<=> ( eigen__7 @ eigen__64 ) ),
introduced(definition,[new_symbols(definition,[sP465])]) ).
thf(sP466,plain,
( sP466
<=> ( sP99 = eigen__21 ) ),
introduced(definition,[new_symbols(definition,[sP466])]) ).
thf(sP467,plain,
( sP467
<=> ( eps4 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP467])]) ).
thf(sP468,plain,
( sP468
<=> ( sP152 = sP79 ) ),
introduced(definition,[new_symbols(definition,[sP468])]) ).
thf(sP469,plain,
( sP469
<=> ( eigen__9 @ sP320 ) ),
introduced(definition,[new_symbols(definition,[sP469])]) ).
thf(sP470,plain,
( sP470
<=> ( sP45
=> sP178 ) ),
introduced(definition,[new_symbols(definition,[sP470])]) ).
thf(sP471,plain,
( sP471
<=> ( sP99 = sP151 ) ),
introduced(definition,[new_symbols(definition,[sP471])]) ).
thf(sP472,plain,
( sP472
<=> ( eigen__4 @ sP112 ) ),
introduced(definition,[new_symbols(definition,[sP472])]) ).
thf(sP473,plain,
( sP473
<=> ! [X1: $o > $o] :
( ( eps1 @ X1 )
= ( eps5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP473])]) ).
thf(sP474,plain,
( sP474
<=> ! [X1: $o] :
( ( eigen__1 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP474])]) ).
thf(sP475,plain,
( sP475
<=> ( sP467 = sP284 ) ),
introduced(definition,[new_symbols(definition,[sP475])]) ).
thf(sP476,plain,
( sP476
<=> ( sP152 = sP24 ) ),
introduced(definition,[new_symbols(definition,[sP476])]) ).
thf(sP477,plain,
( sP477
<=> ( eps1 @ eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP477])]) ).
thf(sP478,plain,
( sP478
<=> ! [X1: $o > $o] :
( ( eps1 @ X1 )
= ( eps4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP478])]) ).
thf(sP479,plain,
( sP479
<=> ( eigen__7 @ sP125 ) ),
introduced(definition,[new_symbols(definition,[sP479])]) ).
thf(sP480,plain,
( sP480
<=> eigen__42 ),
introduced(definition,[new_symbols(definition,[sP480])]) ).
thf(sP481,plain,
( sP481
<=> ( eigen__3 @ sP455 ) ),
introduced(definition,[new_symbols(definition,[sP481])]) ).
thf(sP482,plain,
( sP482
<=> ( ( eps1 @ eigen__7 )
= sP405 ) ),
introduced(definition,[new_symbols(definition,[sP482])]) ).
thf(sP483,plain,
( sP483
<=> ( eigen__4 @ sP66 ) ),
introduced(definition,[new_symbols(definition,[sP483])]) ).
thf(sP484,plain,
( sP484
<=> ( sP291
=> sP313 ) ),
introduced(definition,[new_symbols(definition,[sP484])]) ).
thf(sP485,plain,
( sP485
<=> ( sP87
=> sP52 ) ),
introduced(definition,[new_symbols(definition,[sP485])]) ).
thf(sP486,plain,
( sP486
<=> eigen__43 ),
introduced(definition,[new_symbols(definition,[sP486])]) ).
thf(sP487,plain,
( sP487
<=> ( eps1 = eps4 ) ),
introduced(definition,[new_symbols(definition,[sP487])]) ).
thf(sP488,plain,
( sP488
<=> ( sP193 = sP34 ) ),
introduced(definition,[new_symbols(definition,[sP488])]) ).
thf(sP489,plain,
( sP489
<=> eigen__48 ),
introduced(definition,[new_symbols(definition,[sP489])]) ).
thf(sP490,plain,
( sP490
<=> ( eigen__4 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP490])]) ).
thf(sP491,plain,
( sP491
<=> ! [X1: $o > $o] :
( ( eigen__3 = X1 )
=> ( X1 = eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP491])]) ).
thf(sP492,plain,
( sP492
<=> ( eigen__7 = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP492])]) ).
thf(sP493,plain,
( sP493
<=> ( eigen__1 @ sP32 ) ),
introduced(definition,[new_symbols(definition,[sP493])]) ).
thf(sP494,plain,
( sP494
<=> ( eigen__7 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP494])]) ).
thf(sP495,plain,
( sP495
<=> ( sP331 = sP32 ) ),
introduced(definition,[new_symbols(definition,[sP495])]) ).
thf(sP496,plain,
( sP496
<=> ( eigen__2 @ sP449 ) ),
introduced(definition,[new_symbols(definition,[sP496])]) ).
thf(sP497,plain,
( sP497
<=> ( sP302 = sP360 ) ),
introduced(definition,[new_symbols(definition,[sP497])]) ).
thf(sP498,plain,
( sP498
<=> ( sP109
=> sP25 ) ),
introduced(definition,[new_symbols(definition,[sP498])]) ).
thf(sP499,plain,
( sP499
<=> ! [X1: $o > $o] :
( ( eigen__6 = X1 )
=> ( X1 = eigen__6 ) ) ),
introduced(definition,[new_symbols(definition,[sP499])]) ).
thf(sP500,plain,
( sP500
<=> ( sP219
=> sP228 ) ),
introduced(definition,[new_symbols(definition,[sP500])]) ).
thf(sP501,plain,
( sP501
<=> ( eigen__4 @ sP467 ) ),
introduced(definition,[new_symbols(definition,[sP501])]) ).
thf(sP502,plain,
( sP502
<=> ( sP302 = sP489 ) ),
introduced(definition,[new_symbols(definition,[sP502])]) ).
thf(sP503,plain,
( sP503
<=> ( sP275 = sP185 ) ),
introduced(definition,[new_symbols(definition,[sP503])]) ).
thf(sP504,plain,
( sP504
<=> ! [X1: $o > $o,X2: $o > $o] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP504])]) ).
thf(sP505,plain,
( sP505
<=> ( sP236 = sP22 ) ),
introduced(definition,[new_symbols(definition,[sP505])]) ).
thf(sP506,plain,
( sP506
<=> ( eigen__5 = eigen__9 ) ),
introduced(definition,[new_symbols(definition,[sP506])]) ).
thf(sP507,plain,
( sP507
<=> ( sP119 = sP34 ) ),
introduced(definition,[new_symbols(definition,[sP507])]) ).
thf(sP508,plain,
( sP508
<=> ( eps1 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP508])]) ).
thf(sP509,plain,
( sP509
<=> ( eigen__0 @ sP34 ) ),
introduced(definition,[new_symbols(definition,[sP509])]) ).
thf(sP510,plain,
( sP510
<=> ( eigen__6 @ eigen__28 ) ),
introduced(definition,[new_symbols(definition,[sP510])]) ).
thf(sP511,plain,
( sP511
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP511])]) ).
thf(sP512,plain,
( sP512
<=> ! [X1: $o] :
( ( eigen__1 @ X1 )
= ( eigen__3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP512])]) ).
thf(sP513,plain,
( sP513
<=> ( sP3 = sP496 ) ),
introduced(definition,[new_symbols(definition,[sP513])]) ).
thf(sP514,plain,
( sP514
<=> eigen__21 ),
introduced(definition,[new_symbols(definition,[sP514])]) ).
thf(sP515,plain,
( sP515
<=> ! [X1: $o] :
( ( eigen__7 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP515])]) ).
thf(sP516,plain,
( sP516
<=> ( sP382 = sP489 ) ),
introduced(definition,[new_symbols(definition,[sP516])]) ).
thf(sP517,plain,
( sP517
<=> ! [X1: $o] :
( ( eigen__9 @ X1 )
= ( eigen__8 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP517])]) ).
thf(sP518,plain,
( sP518
<=> ( eigen__0 @ sP266 ) ),
introduced(definition,[new_symbols(definition,[sP518])]) ).
thf(sP519,plain,
( sP519
<=> ( eigen__0 @ eigen__19 ) ),
introduced(definition,[new_symbols(definition,[sP519])]) ).
thf(sP520,plain,
( sP520
<=> ( ( eps3 @ eigen__8 )
= sP449 ) ),
introduced(definition,[new_symbols(definition,[sP520])]) ).
thf(sP521,plain,
( sP521
<=> ( eps3 @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP521])]) ).
thf(sP522,plain,
( sP522
<=> ! [X1: $o] :
( ( eigen__0 @ X1 )
= ( eigen__4 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP522])]) ).
thf(sP523,plain,
( sP523
<=> ! [X1: $o] :
( ( eigen__8 @ X1 )
= ( eigen__6 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP523])]) ).
thf(sP524,plain,
( sP524
<=> ( sP2 = sP151 ) ),
introduced(definition,[new_symbols(definition,[sP524])]) ).
thf(sP525,plain,
( sP525
<=> ( sP382 = sP455 ) ),
introduced(definition,[new_symbols(definition,[sP525])]) ).
thf(sP526,plain,
( sP526
<=> ( sP427 = sP92 ) ),
introduced(definition,[new_symbols(definition,[sP526])]) ).
thf(sP527,plain,
( sP527
<=> ! [X1: $o] :
( ( eigen__6 @ X1 )
= ( eigen__9 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP527])]) ).
thf(sP528,plain,
( sP528
<=> ( sP347 = sP519 ) ),
introduced(definition,[new_symbols(definition,[sP528])]) ).
thf(sP529,plain,
( sP529
<=> ! [X1: $o > $o] :
( ( eigen__2 = X1 )
=> ( X1 = eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP529])]) ).
thf(sP530,plain,
( sP530
<=> ( sP382 = sP428 ) ),
introduced(definition,[new_symbols(definition,[sP530])]) ).
thf(1,plain,
( sP181
| ~ sP467
| ~ sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP181
| sP467
| sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP393
| ~ sP99
| ~ sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP201
| sP521
| sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP246
| ~ sP152
| ~ sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP246
| sP152
| sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( sP503
| ~ sP275
| ~ sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( sP503
| sP275
| sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP431
| ~ sP99
| ~ sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( sP431
| sP99
| sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( sP6
| ~ sP521
| ~ sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP6
| sP521
| sP185 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( sP530
| ~ sP382
| ~ sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( sP530
| sP382
| sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP310
| ~ sP331
| ~ sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( sP310
| sP331
| sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP166
| ~ sP508
| ~ sP361 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( sP5
| sP197
| sP361 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP162
| ~ sP521
| ~ sP361 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP239
| sP99
| sP361 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( sP297
| ~ sP119
| ~ sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( sP297
| sP119
| sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( sP345
| ~ sP193
| ~ sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( sP345
| sP193
| sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( sP495
| ~ sP331
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( sP261
| sP382
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( sP69
| sP275
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(28,plain,
( sP476
| ~ sP152
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( sP216
| ~ sP275
| ~ sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( sP216
| sP275
| sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( sP38
| ~ sP152
| ~ sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( sP38
| sP152
| sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP46
| sP427
| ~ sP6 ),
inference(mating_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP255
| sP427
| ~ sP431 ),
inference(mating_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP248
| ~ sP137 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP300
| ~ sP103 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP46
| sP137
| ~ sP201 ),
inference(mating_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP255
| sP137
| ~ sP393 ),
inference(mating_rule,[status(thm)],]) ).
thf(39,plain,
( sP381
| ~ sP197
| ~ sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( ~ sP135
| sP103
| ~ sP381 ),
inference(mating_rule,[status(thm)],]) ).
thf(41,plain,
( sP263
| sP508
| sP141 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP214
| sP103
| ~ sP263 ),
inference(mating_rule,[status(thm)],]) ).
thf(43,plain,
( sP4
| ~ sP137
| ~ sP103 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( sP4
| sP137
| sP103 ),
inference(prop_rule,[status(thm)],]) ).
thf(45,plain,
( sP353
| sP323
| sP78 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( sP160
| ~ sP467
| ~ sP78 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( sP172
| sP302
| sP78 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( sP222
| ~ sP9
| ~ sP78 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( sP416
| ~ sP410
| ~ sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( sP416
| sP410
| sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( sP114
| ~ sP370
| ~ sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( sP114
| sP370
| sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP46
| sP12
| ~ sP162 ),
inference(mating_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP255
| sP12
| ~ sP239 ),
inference(mating_rule,[status(thm)],]) ).
thf(55,plain,
( sP401
| ~ sP302
| ~ sP284 ),
inference(prop_rule,[status(thm)],]) ).
thf(56,plain,
( sP426
| sP9
| sP284 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( sP159
| ~ sP323
| ~ sP284 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( sP475
| sP467
| sP284 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP44
| sP389
| ~ sP261 ),
inference(mating_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP285
| sP389
| ~ sP495 ),
inference(mating_rule,[status(thm)],]) ).
thf(61,plain,
( sP68
| ~ sP197
| ~ sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( sP68
| sP197
| sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( sP502
| ~ sP302
| ~ sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( sP502
| sP302
| sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( sP80
| ~ sP275
| ~ sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(66,plain,
( sP80
| sP275
| sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(67,plain,
( ~ sP135
| sP67
| ~ sP5 ),
inference(mating_rule,[status(thm)],]) ).
thf(68,plain,
( ~ sP214
| sP67
| ~ sP166 ),
inference(mating_rule,[status(thm)],]) ).
thf(69,plain,
( sP158
| ~ sP4 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__67]) ).
thf(70,plain,
( sP340
| ~ sP158 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( sP497
| ~ sP302
| ~ sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( sP497
| sP302
| sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( sP274
| sP508
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( sP308
| ~ sP197
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
( sP26
| sP197
| sP125 ),
inference(prop_rule,[status(thm)],]) ).
thf(76,plain,
( ~ sP135
| sP479
| ~ sP26 ),
inference(mating_rule,[status(thm)],]) ).
thf(77,plain,
( sP307
| ~ sP508
| ~ sP125 ),
inference(prop_rule,[status(thm)],]) ).
thf(78,plain,
( ~ sP214
| sP479
| ~ sP307 ),
inference(mating_rule,[status(thm)],]) ).
thf(79,plain,
( ~ sP199
| sP265
| ~ sP416 ),
inference(mating_rule,[status(thm)],]) ).
thf(80,plain,
( ~ sP392
| sP265
| ~ sP114 ),
inference(mating_rule,[status(thm)],]) ).
thf(81,plain,
( sP334
| ~ sP467
| ~ sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(82,plain,
( sP334
| sP467
| sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(83,plain,
( ~ sP501
| sP472
| ~ sP334 ),
inference(mating_rule,[status(thm)],]) ).
thf(84,plain,
( sP450
| ~ sP323
| ~ sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(85,plain,
( sP450
| sP323
| sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(86,plain,
( ~ sP198
| sP472
| ~ sP450 ),
inference(mating_rule,[status(thm)],]) ).
thf(87,plain,
( sP225
| ~ sP410
| ~ sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(88,plain,
( sP225
| sP410
| sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(89,plain,
( ~ sP199
| sP461
| ~ sP225 ),
inference(mating_rule,[status(thm)],]) ).
thf(90,plain,
( sP36
| ~ sP370
| ~ sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(91,plain,
( sP36
| sP370
| sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(92,plain,
( ~ sP392
| sP461
| ~ sP36 ),
inference(mating_rule,[status(thm)],]) ).
thf(93,plain,
( sP192
| ~ sP197
| ~ sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(94,plain,
( sP192
| sP197
| sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(95,plain,
( ~ sP135
| sP271
| ~ sP192 ),
inference(mating_rule,[status(thm)],]) ).
thf(96,plain,
( sP445
| ~ sP508
| ~ sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(97,plain,
( sP445
| sP508
| sP112 ),
inference(prop_rule,[status(thm)],]) ).
thf(98,plain,
( ~ sP214
| sP271
| ~ sP445 ),
inference(mating_rule,[status(thm)],]) ).
thf(99,plain,
( sP165
| ~ sP271
| ~ sP472 ),
inference(prop_rule,[status(thm)],]) ).
thf(100,plain,
( ~ sP295
| ~ sP265 ),
inference(all_rule,[status(thm)],]) ).
thf(101,plain,
( ~ sP437
| ~ sP184 ),
inference(all_rule,[status(thm)],]) ).
thf(102,plain,
( ~ sP501
| sP184
| ~ sP181 ),
inference(mating_rule,[status(thm)],]) ).
thf(103,plain,
( sP304
| ~ sP323
| ~ sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(104,plain,
( sP304
| sP323
| sP358 ),
inference(prop_rule,[status(thm)],]) ).
thf(105,plain,
( ~ sP198
| sP184
| ~ sP304 ),
inference(mating_rule,[status(thm)],]) ).
thf(106,plain,
( sP130
| ~ sP265
| ~ sP184 ),
inference(prop_rule,[status(thm)],]) ).
thf(107,plain,
( sP130
| sP265
| sP184 ),
inference(prop_rule,[status(thm)],]) ).
thf(108,plain,
( sP377
| ~ sP477
| ~ sP514 ),
inference(prop_rule,[status(thm)],]) ).
thf(109,plain,
( sP379
| sP2
| sP514 ),
inference(prop_rule,[status(thm)],]) ).
thf(110,plain,
( ~ sP175
| ~ sP92 ),
inference(all_rule,[status(thm)],]) ).
thf(111,plain,
( ~ sP248
| ~ sP427 ),
inference(all_rule,[status(thm)],]) ).
thf(112,plain,
( ~ sP349
| sP92
| ~ sP503 ),
inference(mating_rule,[status(thm)],]) ).
thf(113,plain,
( ~ sP53
| sP92
| ~ sP246 ),
inference(mating_rule,[status(thm)],]) ).
thf(114,plain,
( sP526
| ~ sP427
| ~ sP92 ),
inference(prop_rule,[status(thm)],]) ).
thf(115,plain,
( sP526
| sP427
| sP92 ),
inference(prop_rule,[status(thm)],]) ).
thf(116,plain,
( sP524
| ~ sP2
| ~ sP151 ),
inference(prop_rule,[status(thm)],]) ).
thf(117,plain,
( sP369
| sP477
| sP151 ),
inference(prop_rule,[status(thm)],]) ).
thf(118,plain,
( ~ sP300
| ~ sP465 ),
inference(all_rule,[status(thm)],]) ).
thf(119,plain,
( ~ sP437
| ~ sP54 ),
inference(all_rule,[status(thm)],]) ).
thf(120,plain,
( sP294
| sP54
| sP465 ),
inference(prop_rule,[status(thm)],]) ).
thf(121,plain,
( ~ sP300
| ~ sP67 ),
inference(all_rule,[status(thm)],]) ).
thf(122,plain,
( ~ sP248
| ~ sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(123,plain,
( sP188
| ~ sP67
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(124,plain,
( sP188
| sP67
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(125,plain,
( ~ sP295
| ~ sP461 ),
inference(all_rule,[status(thm)],]) ).
thf(126,plain,
( ~ sP300
| ~ sP118 ),
inference(all_rule,[status(thm)],]) ).
thf(127,plain,
( ~ sP135
| sP118
| ~ sP68 ),
inference(mating_rule,[status(thm)],]) ).
thf(128,plain,
( sP482
| ~ sP508
| ~ sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(129,plain,
( sP482
| sP508
| sP405 ),
inference(prop_rule,[status(thm)],]) ).
thf(130,plain,
( ~ sP214
| sP118
| ~ sP482 ),
inference(mating_rule,[status(thm)],]) ).
thf(131,plain,
( sP88
| ~ sP118
| ~ sP461 ),
inference(prop_rule,[status(thm)],]) ).
thf(132,plain,
( sP88
| sP118
| sP461 ),
inference(prop_rule,[status(thm)],]) ).
thf(133,plain,
( ~ sP140
| sP521
| ~ sP241 ),
inference(mating_rule,[status(thm)],]) ).
thf(134,plain,
( ~ sP370
| sP521
| ~ sP283 ),
inference(mating_rule,[status(thm)],]) ).
thf(135,plain,
( ~ sP302
| sP521
| ~ sP129 ),
inference(mating_rule,[status(thm)],]) ).
thf(136,plain,
( sP171
| ~ sP318
| ~ sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(137,plain,
( sP171
| sP318
| sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(138,plain,
( ~ sP306
| sP282
| ~ sP171 ),
inference(mating_rule,[status(thm)],]) ).
thf(139,plain,
( sP260
| ~ sP140
| ~ sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(140,plain,
( sP260
| sP140
| sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(141,plain,
( ~ sP106
| sP282
| ~ sP260 ),
inference(mating_rule,[status(thm)],]) ).
thf(142,plain,
( sP196
| ~ sP193
| ~ sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(143,plain,
( sP196
| sP193
| sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(144,plain,
( sP187
| ~ sP119
| ~ sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(145,plain,
( sP187
| sP119
| sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(146,plain,
( sP170
| ~ sP119
| ~ sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(147,plain,
( sP170
| sP119
| sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(148,plain,
( sP438
| ~ sP193
| ~ sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(149,plain,
( sP438
| sP193
| sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(150,plain,
( sP351
| ~ sP318
| ~ sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(151,plain,
( sP351
| sP318
| sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(152,plain,
( sP281
| ~ sP140
| ~ sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(153,plain,
( sP281
| sP140
| sP319 ),
inference(prop_rule,[status(thm)],]) ).
thf(154,plain,
( sP209
| ~ sP370
| ~ sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(155,plain,
( sP209
| sP370
| sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(156,plain,
( sP394
| ~ sP410
| ~ sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(157,plain,
( sP394
| sP410
| sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(158,plain,
( sP321
| ~ sP2
| ~ sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(159,plain,
( sP321
| sP2
| sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(160,plain,
( sP139
| ~ sP294 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__64]) ).
thf(161,plain,
( sP164
| ~ sP139 ),
inference(prop_rule,[status(thm)],]) ).
thf(162,plain,
( sP471
| ~ sP99
| ~ sP151 ),
inference(prop_rule,[status(thm)],]) ).
thf(163,plain,
( sP177
| sP521
| sP151 ),
inference(prop_rule,[status(thm)],]) ).
thf(164,plain,
( sP523
| ~ sP526 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__63]) ).
thf(165,plain,
( sP109
| ~ sP523 ),
inference(prop_rule,[status(thm)],]) ).
thf(166,plain,
( sP466
| sP99
| sP514 ),
inference(prop_rule,[status(thm)],]) ).
thf(167,plain,
( sP8
| ~ sP521
| ~ sP514 ),
inference(prop_rule,[status(thm)],]) ).
thf(168,plain,
( sP42
| ~ sP275
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(169,plain,
( sP42
| sP275
| sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(170,plain,
( sP348
| ~ sP119
| ~ sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(171,plain,
( sP348
| sP119
| sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(172,plain,
( sP337
| ~ sP193
| ~ sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(173,plain,
( sP337
| sP193
| sP480 ),
inference(prop_rule,[status(thm)],]) ).
thf(174,plain,
( ~ sP451
| sP262
| ~ sP172 ),
inference(mating_rule,[status(thm)],]) ).
thf(175,plain,
( ~ sP238
| sP262
| ~ sP222 ),
inference(mating_rule,[status(thm)],]) ).
thf(176,plain,
( sP376
| ~ sP130 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__61]) ).
thf(177,plain,
( sP444
| ~ sP376 ),
inference(prop_rule,[status(thm)],]) ).
thf(178,plain,
( sP81
| ~ sP165 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__60]) ).
thf(179,plain,
( sP494
| ~ sP81 ),
inference(prop_rule,[status(thm)],]) ).
thf(180,plain,
( ~ sP7
| ~ sP164
| sP494 ),
inference(prop_rule,[status(thm)],]) ).
thf(181,plain,
( ~ sP352
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(182,plain,
( ~ sP156
| ~ sP494
| sP164 ),
inference(prop_rule,[status(thm)],]) ).
thf(183,plain,
( ~ sP229
| sP156 ),
inference(all_rule,[status(thm)],]) ).
thf(184,plain,
( sP221
| ~ sP467
| ~ sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(185,plain,
( sP221
| sP467
| sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(186,plain,
( ~ sP501
| sP101
| ~ sP221 ),
inference(mating_rule,[status(thm)],]) ).
thf(187,plain,
( sP84
| ~ sP323
| ~ sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(188,plain,
( sP84
| sP323
| sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(189,plain,
( ~ sP198
| sP101
| ~ sP84 ),
inference(mating_rule,[status(thm)],]) ).
thf(190,plain,
( sP507
| ~ sP119
| ~ sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(191,plain,
( sP488
| sP193
| sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(192,plain,
( ~ sP451
| sP51
| ~ sP401 ),
inference(mating_rule,[status(thm)],]) ).
thf(193,plain,
( ~ sP238
| sP51
| ~ sP426 ),
inference(mating_rule,[status(thm)],]) ).
thf(194,plain,
( sP525
| ~ sP382
| ~ sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(195,plain,
( sP525
| sP382
| sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(196,plain,
( ~ sP44
| sP481
| ~ sP525 ),
inference(mating_rule,[status(thm)],]) ).
thf(197,plain,
( sP58
| ~ sP331
| ~ sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(198,plain,
( sP58
| sP331
| sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(199,plain,
( ~ sP285
| sP481
| ~ sP58 ),
inference(mating_rule,[status(thm)],]) ).
thf(200,plain,
( sP375
| ~ sP323
| ~ sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(201,plain,
( sP375
| sP323
| sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(202,plain,
( sP448
| ~ sP467
| ~ sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(203,plain,
( sP448
| sP467
| sP455 ),
inference(prop_rule,[status(thm)],]) ).
thf(204,plain,
( sP516
| ~ sP382
| ~ sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(205,plain,
( sP516
| sP382
| sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(206,plain,
( sP203
| ~ sP331
| ~ sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(207,plain,
( sP203
| sP331
| sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(208,plain,
( sP520
| ~ sP521
| ~ sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(209,plain,
( sP520
| sP521
| sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(210,plain,
( sP386
| ~ sP99
| ~ sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(211,plain,
( sP386
| sP99
| sP449 ),
inference(prop_rule,[status(thm)],]) ).
thf(212,plain,
( sP372
| ~ sP382
| ~ sP124 ),
inference(prop_rule,[status(thm)],]) ).
thf(213,plain,
( sP258
| sP331
| sP124 ),
inference(prop_rule,[status(thm)],]) ).
thf(214,plain,
( ~ sP365
| sP409
| ~ sP438 ),
inference(mating_rule,[status(thm)],]) ).
thf(215,plain,
( ~ sP150
| sP409
| ~ sP170 ),
inference(mating_rule,[status(thm)],]) ).
thf(216,plain,
( sP138
| ~ sP382
| ~ sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(217,plain,
( sP138
| sP382
| sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(218,plain,
( ~ sP44
| sP144
| ~ sP138 ),
inference(mating_rule,[status(thm)],]) ).
thf(219,plain,
( sP72
| ~ sP331
| ~ sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(220,plain,
( sP72
| sP331
| sP243 ),
inference(prop_rule,[status(thm)],]) ).
thf(221,plain,
( ~ sP285
| sP144
| ~ sP72 ),
inference(mating_rule,[status(thm)],]) ).
thf(222,plain,
( sP413
| ~ sP410
| ~ sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(223,plain,
( sP413
| sP410
| sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(224,plain,
( sP183
| ~ sP370
| ~ sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(225,plain,
( sP183
| sP370
| sP266 ),
inference(prop_rule,[status(thm)],]) ).
thf(226,plain,
( sP280
| ~ sP370
| ~ sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(227,plain,
( sP280
| sP370
| sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(228,plain,
( sP110
| ~ sP410
| ~ sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(229,plain,
( sP110
| sP410
| sP354 ),
inference(prop_rule,[status(thm)],]) ).
thf(230,plain,
( sP391
| ~ sP302
| ~ sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(231,plain,
( sP391
| sP302
| sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(232,plain,
( ~ sP451
| sP436
| ~ sP391 ),
inference(mating_rule,[status(thm)],]) ).
thf(233,plain,
( sP424
| ~ sP9
| ~ sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(234,plain,
( sP424
| sP9
| sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(235,plain,
( ~ sP238
| sP436
| ~ sP424 ),
inference(mating_rule,[status(thm)],]) ).
thf(236,plain,
( sP23
| sP318
| sP124 ),
inference(prop_rule,[status(thm)],]) ).
thf(237,plain,
( ~ sP306
| sP174
| ~ sP23 ),
inference(mating_rule,[status(thm)],]) ).
thf(238,plain,
( sP105
| ~ sP140
| ~ sP124 ),
inference(prop_rule,[status(thm)],]) ).
thf(239,plain,
( ~ sP106
| sP174
| ~ sP105 ),
inference(mating_rule,[status(thm)],]) ).
thf(240,plain,
( ~ sP451
| sP412
| ~ sP502 ),
inference(mating_rule,[status(thm)],]) ).
thf(241,plain,
( sP207
| ~ sP9
| ~ sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(242,plain,
( sP207
| sP9
| sP489 ),
inference(prop_rule,[status(thm)],]) ).
thf(243,plain,
( ~ sP238
| sP412
| ~ sP207 ),
inference(mating_rule,[status(thm)],]) ).
thf(244,plain,
( sP31
| ~ sP318
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(245,plain,
( ~ sP306
| sP493
| ~ sP31 ),
inference(mating_rule,[status(thm)],]) ).
thf(246,plain,
( sP16
| sP140
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(247,plain,
( ~ sP106
| sP493
| ~ sP16 ),
inference(mating_rule,[status(thm)],]) ).
thf(248,plain,
( sP329
| ~ sP493
| ~ sP389 ),
inference(prop_rule,[status(thm)],]) ).
thf(249,plain,
( ~ sP437
| ~ sP101 ),
inference(all_rule,[status(thm)],]) ).
thf(250,plain,
( ~ sP168
| ~ sP368 ),
inference(all_rule,[status(thm)],]) ).
thf(251,plain,
( ~ sP350
| sP368
| ~ sP321 ),
inference(mating_rule,[status(thm)],]) ).
thf(252,plain,
( sP388
| ~ sP477
| ~ sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(253,plain,
( sP388
| sP477
| sP293 ),
inference(prop_rule,[status(thm)],]) ).
thf(254,plain,
( ~ sP132
| sP368
| ~ sP388 ),
inference(mating_rule,[status(thm)],]) ).
thf(255,plain,
( sP116
| ~ sP368
| ~ sP101 ),
inference(prop_rule,[status(thm)],]) ).
thf(256,plain,
( sP116
| sP368
| sP101 ),
inference(prop_rule,[status(thm)],]) ).
thf(257,plain,
( sP96
| ~ sP275
| ~ sP125 ),
inference(prop_rule,[status(thm)],]) ).
thf(258,plain,
( ~ sP349
| sP419
| ~ sP96 ),
inference(mating_rule,[status(thm)],]) ).
thf(259,plain,
( sP357
| sP152
| sP125 ),
inference(prop_rule,[status(thm)],]) ).
thf(260,plain,
( ~ sP53
| sP419
| ~ sP357 ),
inference(mating_rule,[status(thm)],]) ).
thf(261,plain,
( ~ sP175
| ~ sP344 ),
inference(all_rule,[status(thm)],]) ).
thf(262,plain,
( ~ sP430
| ~ sP432 ),
inference(all_rule,[status(thm)],]) ).
thf(263,plain,
( sP115
| ~ sP382
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(264,plain,
( sP115
| sP382
| sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(265,plain,
( ~ sP44
| sP432
| ~ sP115 ),
inference(mating_rule,[status(thm)],]) ).
thf(266,plain,
( sP441
| ~ sP331
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(267,plain,
( sP441
| sP331
| sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(268,plain,
( ~ sP285
| sP432
| ~ sP441 ),
inference(mating_rule,[status(thm)],]) ).
thf(269,plain,
( ~ sP349
| sP344
| ~ sP42 ),
inference(mating_rule,[status(thm)],]) ).
thf(270,plain,
( sP468
| ~ sP152
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(271,plain,
( sP468
| sP152
| sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(272,plain,
( ~ sP53
| sP344
| ~ sP468 ),
inference(mating_rule,[status(thm)],]) ).
thf(273,plain,
( sP161
| ~ sP432
| ~ sP344 ),
inference(prop_rule,[status(thm)],]) ).
thf(274,plain,
( sP161
| sP432
| sP344 ),
inference(prop_rule,[status(thm)],]) ).
thf(275,plain,
( ~ sP46
| sP399
| ~ sP8 ),
inference(mating_rule,[status(thm)],]) ).
thf(276,plain,
( ~ sP255
| sP399
| ~ sP466 ),
inference(mating_rule,[status(thm)],]) ).
thf(277,plain,
( sP362
| ~ sP2
| ~ sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(278,plain,
( sP362
| sP2
| sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(279,plain,
( ~ sP350
| sP37
| ~ sP362 ),
inference(mating_rule,[status(thm)],]) ).
thf(280,plain,
( sP315
| ~ sP477
| ~ sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(281,plain,
( sP315
| sP477
| sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(282,plain,
( ~ sP132
| sP37
| ~ sP315 ),
inference(mating_rule,[status(thm)],]) ).
thf(283,plain,
( sP146
| ~ sP2
| ~ sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(284,plain,
( sP146
| sP2
| sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(285,plain,
( ~ sP350
| sP22
| ~ sP146 ),
inference(mating_rule,[status(thm)],]) ).
thf(286,plain,
( sP83
| ~ sP477
| ~ sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(287,plain,
( sP83
| sP477
| sP428 ),
inference(prop_rule,[status(thm)],]) ).
thf(288,plain,
( ~ sP132
| sP22
| ~ sP83 ),
inference(mating_rule,[status(thm)],]) ).
thf(289,plain,
( ~ sP46
| sP385
| ~ sP177 ),
inference(mating_rule,[status(thm)],]) ).
thf(290,plain,
( ~ sP255
| sP385
| ~ sP471 ),
inference(mating_rule,[status(thm)],]) ).
thf(291,plain,
( ~ sP349
| sP190
| ~ sP80 ),
inference(mating_rule,[status(thm)],]) ).
thf(292,plain,
( sP29
| ~ sP152
| ~ sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(293,plain,
( sP29
| sP152
| sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(294,plain,
( ~ sP53
| sP190
| ~ sP29 ),
inference(mating_rule,[status(thm)],]) ).
thf(295,plain,
( sP417
| ~ sP140
| ~ sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(296,plain,
( sP417
| sP140
| sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(297,plain,
( sP273
| ~ sP318
| ~ sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(298,plain,
( sP273
| sP318
| sP486 ),
inference(prop_rule,[status(thm)],]) ).
thf(299,plain,
( sP17
| ~ sP161 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__57]) ).
thf(300,plain,
( sP91
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(301,plain,
( sP299
| ~ sP116 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__56]) ).
thf(302,plain,
( sP296
| ~ sP299 ),
inference(prop_rule,[status(thm)],]) ).
thf(303,plain,
( ~ sP245
| ~ sP296
| sP148 ),
inference(prop_rule,[status(thm)],]) ).
thf(304,plain,
( ~ sP234
| sP245 ),
inference(all_rule,[status(thm)],]) ).
thf(305,plain,
( sP512
| ~ sP329 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__55]) ).
thf(306,plain,
( sP122
| ~ sP512 ),
inference(prop_rule,[status(thm)],]) ).
thf(307,plain,
( ~ sP128
| ~ sP412 ),
inference(all_rule,[status(thm)],]) ).
thf(308,plain,
( ~ sP430
| ~ sP330 ),
inference(all_rule,[status(thm)],]) ).
thf(309,plain,
( ~ sP44
| sP330
| ~ sP516 ),
inference(mating_rule,[status(thm)],]) ).
thf(310,plain,
( ~ sP285
| sP330
| ~ sP203 ),
inference(mating_rule,[status(thm)],]) ).
thf(311,plain,
( sP279
| ~ sP330
| ~ sP412 ),
inference(prop_rule,[status(thm)],]) ).
thf(312,plain,
( sP279
| sP330
| sP412 ),
inference(prop_rule,[status(thm)],]) ).
thf(313,plain,
( ~ sP269
| ~ sP174 ),
inference(all_rule,[status(thm)],]) ).
thf(314,plain,
( ~ sP430
| ~ sP233 ),
inference(all_rule,[status(thm)],]) ).
thf(315,plain,
( ~ sP44
| sP233
| ~ sP372 ),
inference(mating_rule,[status(thm)],]) ).
thf(316,plain,
( ~ sP285
| sP233
| ~ sP258 ),
inference(mating_rule,[status(thm)],]) ).
thf(317,plain,
( sP326
| ~ sP233
| ~ sP174 ),
inference(prop_rule,[status(thm)],]) ).
thf(318,plain,
( sP326
| sP233
| sP174 ),
inference(prop_rule,[status(thm)],]) ).
thf(319,plain,
( sP464
| ~ sP318
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(320,plain,
( sP464
| sP318
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(321,plain,
( sP254
| ~ sP140
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(322,plain,
( sP254
| sP140
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(323,plain,
( sP267
| ~ sP370
| ~ sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(324,plain,
( sP267
| sP370
| sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(325,plain,
( sP364
| ~ sP410
| ~ sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(326,plain,
( sP364
| sP410
| sP425 ),
inference(prop_rule,[status(thm)],]) ).
thf(327,plain,
( sP121
| ~ sP9
| ~ sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(328,plain,
( sP121
| sP9
| sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(329,plain,
( sP28
| ~ sP302
| ~ sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(330,plain,
( sP28
| sP302
| sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(331,plain,
( ~ sP295
| ~ sP102 ),
inference(all_rule,[status(thm)],]) ).
thf(332,plain,
( ~ sP269
| ~ sP282 ),
inference(all_rule,[status(thm)],]) ).
thf(333,plain,
( ~ sP199
| sP102
| ~ sP110 ),
inference(mating_rule,[status(thm)],]) ).
thf(334,plain,
( ~ sP392
| sP102
| ~ sP280 ),
inference(mating_rule,[status(thm)],]) ).
thf(335,plain,
( sP191
| ~ sP102
| ~ sP282 ),
inference(prop_rule,[status(thm)],]) ).
thf(336,plain,
( sP191
| sP102
| sP282 ),
inference(prop_rule,[status(thm)],]) ).
thf(337,plain,
( ~ sP430
| ~ sP144 ),
inference(all_rule,[status(thm)],]) ).
thf(338,plain,
( ~ sP439
| ~ sP409 ),
inference(all_rule,[status(thm)],]) ).
thf(339,plain,
( sP77
| ~ sP144
| ~ sP409 ),
inference(prop_rule,[status(thm)],]) ).
thf(340,plain,
( sP77
| sP144
| sP409 ),
inference(prop_rule,[status(thm)],]) ).
thf(341,plain,
( sP50
| ~ sP77 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__53]) ).
thf(342,plain,
( sP253
| ~ sP50 ),
inference(prop_rule,[status(thm)],]) ).
thf(343,plain,
( sP303
| ~ sP119
| ~ sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(344,plain,
( sP303
| sP119
| sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(345,plain,
( sP202
| ~ sP193
| ~ sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(346,plain,
( sP202
| sP193
| sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(347,plain,
( ~ sP199
| sP359
| ~ sP413 ),
inference(mating_rule,[status(thm)],]) ).
thf(348,plain,
( ~ sP392
| sP359
| ~ sP183 ),
inference(mating_rule,[status(thm)],]) ).
thf(349,plain,
( sP400
| ~ sP191 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__51]) ).
thf(350,plain,
( sP289
| ~ sP400 ),
inference(prop_rule,[status(thm)],]) ).
thf(351,plain,
( ~ sP149
| ~ sP289
| sP257 ),
inference(prop_rule,[status(thm)],]) ).
thf(352,plain,
( ~ sP529
| sP149 ),
inference(all_rule,[status(thm)],]) ).
thf(353,plain,
( ~ sP128
| ~ sP182 ),
inference(all_rule,[status(thm)],]) ).
thf(354,plain,
( ~ sP248
| ~ sP218 ),
inference(all_rule,[status(thm)],]) ).
thf(355,plain,
( sP463
| ~ sP521
| ~ sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(356,plain,
( sP463
| sP521
| sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(357,plain,
( ~ sP46
| sP218
| ~ sP463 ),
inference(mating_rule,[status(thm)],]) ).
thf(358,plain,
( sP127
| ~ sP99
| ~ sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(359,plain,
( sP127
| sP99
| sP205 ),
inference(prop_rule,[status(thm)],]) ).
thf(360,plain,
( ~ sP255
| sP218
| ~ sP127 ),
inference(mating_rule,[status(thm)],]) ).
thf(361,plain,
( ~ sP451
| sP182
| ~ sP28 ),
inference(mating_rule,[status(thm)],]) ).
thf(362,plain,
( ~ sP238
| sP182
| ~ sP121 ),
inference(mating_rule,[status(thm)],]) ).
thf(363,plain,
( sP153
| ~ sP218
| ~ sP182 ),
inference(prop_rule,[status(thm)],]) ).
thf(364,plain,
( sP153
| sP218
| sP182 ),
inference(prop_rule,[status(thm)],]) ).
thf(365,plain,
( ~ sP295
| ~ sP277 ),
inference(all_rule,[status(thm)],]) ).
thf(366,plain,
( ~ sP128
| ~ sP436 ),
inference(all_rule,[status(thm)],]) ).
thf(367,plain,
( ~ sP199
| sP277
| ~ sP364 ),
inference(mating_rule,[status(thm)],]) ).
thf(368,plain,
( ~ sP392
| sP277
| ~ sP267 ),
inference(mating_rule,[status(thm)],]) ).
thf(369,plain,
( sP418
| ~ sP277
| ~ sP436 ),
inference(prop_rule,[status(thm)],]) ).
thf(370,plain,
( sP418
| sP277
| sP436 ),
inference(prop_rule,[status(thm)],]) ).
thf(371,plain,
( sP292
| ~ sP326 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__49]) ).
thf(372,plain,
( sP242
| ~ sP292 ),
inference(prop_rule,[status(thm)],]) ).
thf(373,plain,
( ~ sP237
| ~ sP242
| sP122 ),
inference(prop_rule,[status(thm)],]) ).
thf(374,plain,
( ~ sP491
| sP237 ),
inference(all_rule,[status(thm)],]) ).
thf(375,plain,
( ~ sP306
| sP374
| ~ sP351 ),
inference(mating_rule,[status(thm)],]) ).
thf(376,plain,
( ~ sP106
| sP374
| ~ sP281 ),
inference(mating_rule,[status(thm)],]) ).
thf(377,plain,
( sP95
| ~ sP279 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__48]) ).
thf(378,plain,
( ~ sP437
| ~ sP286 ),
inference(all_rule,[status(thm)],]) ).
thf(379,plain,
( ~ sP430
| ~ sP481 ),
inference(all_rule,[status(thm)],]) ).
thf(380,plain,
( ~ sP501
| sP286
| ~ sP448 ),
inference(mating_rule,[status(thm)],]) ).
thf(381,plain,
( ~ sP198
| sP286
| ~ sP375 ),
inference(mating_rule,[status(thm)],]) ).
thf(382,plain,
( sP224
| ~ sP286
| ~ sP481 ),
inference(prop_rule,[status(thm)],]) ).
thf(383,plain,
( sP224
| sP286
| sP481 ),
inference(prop_rule,[status(thm)],]) ).
thf(384,plain,
( ~ sP437
| ~ sP288 ),
inference(all_rule,[status(thm)],]) ).
thf(385,plain,
( ~ sP128
| ~ sP51 ),
inference(all_rule,[status(thm)],]) ).
thf(386,plain,
( ~ sP501
| sP288
| ~ sP475 ),
inference(mating_rule,[status(thm)],]) ).
thf(387,plain,
( ~ sP198
| sP288
| ~ sP159 ),
inference(mating_rule,[status(thm)],]) ).
thf(388,plain,
( sP104
| ~ sP288
| ~ sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(389,plain,
( sP104
| sP288
| sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(390,plain,
( ~ sP437
| ~ sP398 ),
inference(all_rule,[status(thm)],]) ).
thf(391,plain,
( ~ sP128
| ~ sP262 ),
inference(all_rule,[status(thm)],]) ).
thf(392,plain,
( ~ sP501
| sP398
| ~ sP160 ),
inference(mating_rule,[status(thm)],]) ).
thf(393,plain,
( ~ sP198
| sP398
| ~ sP353 ),
inference(mating_rule,[status(thm)],]) ).
thf(394,plain,
( sP367
| ~ sP262
| ~ sP398 ),
inference(prop_rule,[status(thm)],]) ).
thf(395,plain,
( sP367
| sP262
| sP398 ),
inference(prop_rule,[status(thm)],]) ).
thf(396,plain,
( sP76
| ~ sP419
| ~ sP479 ),
inference(prop_rule,[status(thm)],]) ).
thf(397,plain,
( ~ sP300
| ~ sP312 ),
inference(all_rule,[status(thm)],]) ).
thf(398,plain,
( ~ sP175
| ~ sP142 ),
inference(all_rule,[status(thm)],]) ).
thf(399,plain,
( ~ sP135
| sP312
| ~ sP308 ),
inference(mating_rule,[status(thm)],]) ).
thf(400,plain,
( ~ sP214
| sP312
| ~ sP274 ),
inference(mating_rule,[status(thm)],]) ).
thf(401,plain,
( ~ sP349
| sP142
| ~ sP69 ),
inference(mating_rule,[status(thm)],]) ).
thf(402,plain,
( ~ sP53
| sP142
| ~ sP476 ),
inference(mating_rule,[status(thm)],]) ).
thf(403,plain,
( sP309
| ~ sP312
| ~ sP142 ),
inference(prop_rule,[status(thm)],]) ).
thf(404,plain,
( sP309
| sP312
| sP142 ),
inference(prop_rule,[status(thm)],]) ).
thf(405,plain,
( ~ sP439
| ~ sP298 ),
inference(all_rule,[status(thm)],]) ).
thf(406,plain,
( ~ sP175
| ~ sP163 ),
inference(all_rule,[status(thm)],]) ).
thf(407,plain,
( ~ sP365
| sP298
| ~ sP337 ),
inference(mating_rule,[status(thm)],]) ).
thf(408,plain,
( ~ sP150
| sP298
| ~ sP348 ),
inference(mating_rule,[status(thm)],]) ).
thf(409,plain,
( ~ sP349
| sP163
| ~ sP216 ),
inference(mating_rule,[status(thm)],]) ).
thf(410,plain,
( ~ sP53
| sP163
| ~ sP38 ),
inference(mating_rule,[status(thm)],]) ).
thf(411,plain,
( sP90
| ~ sP298
| ~ sP163 ),
inference(prop_rule,[status(thm)],]) ).
thf(412,plain,
( sP90
| sP298
| sP163 ),
inference(prop_rule,[status(thm)],]) ).
thf(413,plain,
( ~ sP306
| sP343
| ~ sP273 ),
inference(mating_rule,[status(thm)],]) ).
thf(414,plain,
( ~ sP106
| sP343
| ~ sP417 ),
inference(mating_rule,[status(thm)],]) ).
thf(415,plain,
( sP355
| ~ sP343
| ~ sP190 ),
inference(prop_rule,[status(thm)],]) ).
thf(416,plain,
( ~ sP168
| ~ sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(417,plain,
( ~ sP430
| ~ sP236 ),
inference(all_rule,[status(thm)],]) ).
thf(418,plain,
( ~ sP44
| sP236
| ~ sP530 ),
inference(mating_rule,[status(thm)],]) ).
thf(419,plain,
( ~ sP285
| sP236
| ~ sP310 ),
inference(mating_rule,[status(thm)],]) ).
thf(420,plain,
( sP505
| ~ sP236
| ~ sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(421,plain,
( sP505
| sP236
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(422,plain,
( ~ sP168
| ~ sP37 ),
inference(all_rule,[status(thm)],]) ).
thf(423,plain,
( ~ sP128
| ~ sP322 ),
inference(all_rule,[status(thm)],]) ).
thf(424,plain,
( ~ sP451
| sP322
| ~ sP497 ),
inference(mating_rule,[status(thm)],]) ).
thf(425,plain,
( sP220
| ~ sP9
| ~ sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(426,plain,
( sP220
| sP9
| sP360 ),
inference(prop_rule,[status(thm)],]) ).
thf(427,plain,
( ~ sP238
| sP322
| ~ sP220 ),
inference(mating_rule,[status(thm)],]) ).
thf(428,plain,
( sP247
| ~ sP322
| ~ sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(429,plain,
( sP247
| sP322
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(430,plain,
( sP396
| ~ sP2
| ~ sP320 ),
inference(prop_rule,[status(thm)],]) ).
thf(431,plain,
( sP60
| sP477
| sP320 ),
inference(prop_rule,[status(thm)],]) ).
thf(432,plain,
( sP47
| ~ sP508
| ~ sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(433,plain,
( sP47
| sP508
| sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(434,plain,
( sP62
| ~ sP197
| ~ sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(435,plain,
( sP62
| sP197
| sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(436,plain,
( sP27
| ~ sP247 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__45]) ).
thf(437,plain,
( sP506
| ~ sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(438,plain,
( sP336
| ~ sP505 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__44]) ).
thf(439,plain,
( sP145
| ~ sP336 ),
inference(prop_rule,[status(thm)],]) ).
thf(440,plain,
( ~ sP350
| sP278
| ~ sP524 ),
inference(mating_rule,[status(thm)],]) ).
thf(441,plain,
( ~ sP132
| sP278
| ~ sP369 ),
inference(mating_rule,[status(thm)],]) ).
thf(442,plain,
( sP82
| ~ sP385
| ~ sP278 ),
inference(prop_rule,[status(thm)],]) ).
thf(443,plain,
( sP474
| ~ sP355 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__43]) ).
thf(444,plain,
( sP189
| ~ sP474 ),
inference(prop_rule,[status(thm)],]) ).
thf(445,plain,
( sP230
| ~ sP90 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__42]) ).
thf(446,plain,
( sP57
| ~ sP230 ),
inference(prop_rule,[status(thm)],]) ).
thf(447,plain,
( sP515
| ~ sP309 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__41]) ).
thf(448,plain,
( sP447
| ~ sP76 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__40]) ).
thf(449,plain,
( sP123
| ~ sP447 ),
inference(prop_rule,[status(thm)],]) ).
thf(450,plain,
( ~ sP498
| ~ sP109
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(451,plain,
( ~ sP429
| sP498 ),
inference(all_rule,[status(thm)],]) ).
thf(452,plain,
( sP422
| ~ sP275
| ~ sP107 ),
inference(prop_rule,[status(thm)],]) ).
thf(453,plain,
( ~ sP349
| sP240
| ~ sP422 ),
inference(mating_rule,[status(thm)],]) ).
thf(454,plain,
( sP462
| sP152
| sP107 ),
inference(prop_rule,[status(thm)],]) ).
thf(455,plain,
( ~ sP53
| sP240
| ~ sP462 ),
inference(mating_rule,[status(thm)],]) ).
thf(456,plain,
( sP64
| sP2
| sP107 ),
inference(prop_rule,[status(thm)],]) ).
thf(457,plain,
( ~ sP350
| sP213
| ~ sP64 ),
inference(mating_rule,[status(thm)],]) ).
thf(458,plain,
( sP408
| ~ sP477
| ~ sP107 ),
inference(prop_rule,[status(thm)],]) ).
thf(459,plain,
( ~ sP132
| sP213
| ~ sP408 ),
inference(mating_rule,[status(thm)],]) ).
thf(460,plain,
( sP317
| ~ sP240
| ~ sP213 ),
inference(prop_rule,[status(thm)],]) ).
thf(461,plain,
( sP147
| ~ sP367 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__38]) ).
thf(462,plain,
( sP173
| ~ sP147 ),
inference(prop_rule,[status(thm)],]) ).
thf(463,plain,
( sP14
| sP467
| sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(464,plain,
( sP454
| ~ sP323
| ~ sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(465,plain,
( sP270
| ~ sP104 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__37]) ).
thf(466,plain,
( ~ sP327
| ~ sP91
| sP94 ),
inference(prop_rule,[status(thm)],]) ).
thf(467,plain,
( ~ sP491
| sP327 ),
inference(all_rule,[status(thm)],]) ).
thf(468,plain,
( ~ sP459
| ~ sP253
| sP435 ),
inference(prop_rule,[status(thm)],]) ).
thf(469,plain,
( ~ sP491
| sP459 ),
inference(all_rule,[status(thm)],]) ).
thf(470,plain,
( sP179
| ~ sP224 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__35]) ).
thf(471,plain,
( sP87
| ~ sP95 ),
inference(prop_rule,[status(thm)],]) ).
thf(472,plain,
( ~ sP485
| ~ sP87
| sP52 ),
inference(prop_rule,[status(thm)],]) ).
thf(473,plain,
( ~ sP491
| sP485 ),
inference(all_rule,[status(thm)],]) ).
thf(474,plain,
( sP434
| ~ sP88 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__32]) ).
thf(475,plain,
( ~ sP199
| sP496
| ~ sP394 ),
inference(mating_rule,[status(thm)],]) ).
thf(476,plain,
( ~ sP392
| sP496
| ~ sP209 ),
inference(mating_rule,[status(thm)],]) ).
thf(477,plain,
( ~ sP439
| ~ sP100 ),
inference(all_rule,[status(thm)],]) ).
thf(478,plain,
( ~ sP269
| ~ sP374 ),
inference(all_rule,[status(thm)],]) ).
thf(479,plain,
( ~ sP365
| sP100
| ~ sP345 ),
inference(mating_rule,[status(thm)],]) ).
thf(480,plain,
( ~ sP150
| sP100
| ~ sP297 ),
inference(mating_rule,[status(thm)],]) ).
thf(481,plain,
( sP167
| ~ sP100
| ~ sP374 ),
inference(prop_rule,[status(thm)],]) ).
thf(482,plain,
( sP167
| sP100
| sP374 ),
inference(prop_rule,[status(thm)],]) ).
thf(483,plain,
( ~ sP175
| ~ sP510 ),
inference(all_rule,[status(thm)],]) ).
thf(484,plain,
( ~ sP269
| ~ sP341 ),
inference(all_rule,[status(thm)],]) ).
thf(485,plain,
( sP414
| sP510
| sP341 ),
inference(prop_rule,[status(thm)],]) ).
thf(486,plain,
( ~ sP140
| sP302
| ~ sP313 ),
inference(mating_rule,[status(thm)],]) ).
thf(487,plain,
( sP10
| ~ sP418 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__30]) ).
thf(488,plain,
( sP61
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(489,plain,
( ~ sP370
| sP302
| ~ sP61 ),
inference(mating_rule,[status(thm)],]) ).
thf(490,plain,
( sP452
| ~ sP153 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__29]) ).
thf(491,plain,
( sP404
| ~ sP452 ),
inference(prop_rule,[status(thm)],]) ).
thf(492,plain,
( ~ sP325
| ~ sP404
| sP129 ),
inference(prop_rule,[status(thm)],]) ).
thf(493,plain,
( ~ sP429
| sP325 ),
inference(all_rule,[status(thm)],]) ).
thf(494,plain,
( ~ sP521
| sP302
| ~ sP404 ),
inference(mating_rule,[status(thm)],]) ).
thf(495,plain,
( sP333
| ~ sP302
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(496,plain,
( sP333
| sP302
| sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(497,plain,
( sP380
| ~ sP9
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(498,plain,
( sP380
| sP9
| sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(499,plain,
( ~ sP365
| sP518
| ~ sP196 ),
inference(mating_rule,[status(thm)],]) ).
thf(500,plain,
( ~ sP150
| sP518
| ~ sP187 ),
inference(mating_rule,[status(thm)],]) ).
thf(501,plain,
( sP111
| ~ sP197
| ~ sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(502,plain,
( sP111
| sP197
| sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(503,plain,
( ~ sP135
| sP215
| ~ sP111 ),
inference(mating_rule,[status(thm)],]) ).
thf(504,plain,
( sP86
| ~ sP508
| ~ sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(505,plain,
( sP86
| sP508
| sP249 ),
inference(prop_rule,[status(thm)],]) ).
thf(506,plain,
( ~ sP214
| sP215
| ~ sP86 ),
inference(mating_rule,[status(thm)],]) ).
thf(507,plain,
( sP402
| ~ sP467
| ~ sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(508,plain,
( ~ sP501
| sP483
| ~ sP402 ),
inference(mating_rule,[status(thm)],]) ).
thf(509,plain,
( sP98
| sP323
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(510,plain,
( ~ sP198
| sP483
| ~ sP98 ),
inference(mating_rule,[status(thm)],]) ).
thf(511,plain,
( sP342
| ~ sP518
| ~ sP359 ),
inference(prop_rule,[status(thm)],]) ).
thf(512,plain,
( sP328
| ~ sP318
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(513,plain,
( sP328
| sP318
| sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(514,plain,
( ~ sP306
| sP446
| ~ sP328 ),
inference(mating_rule,[status(thm)],]) ).
thf(515,plain,
( ~ sP140
| sP370
| ~ sP257 ),
inference(mating_rule,[status(thm)],]) ).
thf(516,plain,
( sP134
| ~ sP140
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(517,plain,
( sP134
| sP140
| sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(518,plain,
( ~ sP106
| sP446
| ~ sP134 ),
inference(mating_rule,[status(thm)],]) ).
thf(519,plain,
( sP356
| ~ sP414 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__28]) ).
thf(520,plain,
( sP212
| ~ sP167 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__27]) ).
thf(521,plain,
( sP45
| ~ sP212 ),
inference(prop_rule,[status(thm)],]) ).
thf(522,plain,
( ~ sP470
| ~ sP45
| sP178 ),
inference(prop_rule,[status(thm)],]) ).
thf(523,plain,
( ~ sP324
| sP470 ),
inference(all_rule,[status(thm)],]) ).
thf(524,plain,
( ~ sP439
| ~ sP519 ),
inference(all_rule,[status(thm)],]) ).
thf(525,plain,
( ~ sP295
| ~ sP347 ),
inference(all_rule,[status(thm)],]) ).
thf(526,plain,
( sP528
| sP347
| sP519 ),
inference(prop_rule,[status(thm)],]) ).
thf(527,plain,
( ~ sP365
| sP509
| ~ sP488 ),
inference(mating_rule,[status(thm)],]) ).
thf(528,plain,
( ~ sP150
| sP509
| ~ sP507 ),
inference(mating_rule,[status(thm)],]) ).
thf(529,plain,
( sP527
| ~ sP317 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__26]) ).
thf(530,plain,
( sP346
| ~ sP527 ),
inference(prop_rule,[status(thm)],]) ).
thf(531,plain,
( sP511
| ~ sP82 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__24]) ).
thf(532,plain,
( sP335
| ~ sP511 ),
inference(prop_rule,[status(thm)],]) ).
thf(533,plain,
( ~ sP248
| ~ sP399 ),
inference(all_rule,[status(thm)],]) ).
thf(534,plain,
( ~ sP168
| ~ sP251 ),
inference(all_rule,[status(thm)],]) ).
thf(535,plain,
( ~ sP350
| sP251
| ~ sP379 ),
inference(mating_rule,[status(thm)],]) ).
thf(536,plain,
( ~ sP132
| sP251
| ~ sP377 ),
inference(mating_rule,[status(thm)],]) ).
thf(537,plain,
( sP126
| ~ sP251
| ~ sP399 ),
inference(prop_rule,[status(thm)],]) ).
thf(538,plain,
( sP126
| sP251
| sP399 ),
inference(prop_rule,[status(thm)],]) ).
thf(539,plain,
( ~ sP300
| ~ sP89 ),
inference(all_rule,[status(thm)],]) ).
thf(540,plain,
( ~ sP168
| ~ sP371 ),
inference(all_rule,[status(thm)],]) ).
thf(541,plain,
( sP157
| ~ sP2
| ~ sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(542,plain,
( sP157
| sP2
| sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(543,plain,
( ~ sP350
| sP371
| ~ sP157 ),
inference(mating_rule,[status(thm)],]) ).
thf(544,plain,
( sP363
| ~ sP477
| ~ sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(545,plain,
( sP363
| sP477
| sP108 ),
inference(prop_rule,[status(thm)],]) ).
thf(546,plain,
( ~ sP132
| sP371
| ~ sP363 ),
inference(mating_rule,[status(thm)],]) ).
thf(547,plain,
( ~ sP135
| sP89
| ~ sP62 ),
inference(mating_rule,[status(thm)],]) ).
thf(548,plain,
( ~ sP214
| sP89
| ~ sP47 ),
inference(mating_rule,[status(thm)],]) ).
thf(549,plain,
( sP63
| ~ sP371
| ~ sP89 ),
inference(prop_rule,[status(thm)],]) ).
thf(550,plain,
( sP63
| sP371
| sP89 ),
inference(prop_rule,[status(thm)],]) ).
thf(551,plain,
( sP458
| sP275
| sP320 ),
inference(prop_rule,[status(thm)],]) ).
thf(552,plain,
( ~ sP349
| sP338
| ~ sP458 ),
inference(mating_rule,[status(thm)],]) ).
thf(553,plain,
( sP19
| ~ sP152
| ~ sP320 ),
inference(prop_rule,[status(thm)],]) ).
thf(554,plain,
( ~ sP53
| sP338
| ~ sP19 ),
inference(mating_rule,[status(thm)],]) ).
thf(555,plain,
( ~ sP175
| ~ sP338 ),
inference(all_rule,[status(thm)],]) ).
thf(556,plain,
( ~ sP168
| ~ sP469 ),
inference(all_rule,[status(thm)],]) ).
thf(557,plain,
( ~ sP350
| sP469
| ~ sP396 ),
inference(mating_rule,[status(thm)],]) ).
thf(558,plain,
( ~ sP132
| sP469
| ~ sP60 ),
inference(mating_rule,[status(thm)],]) ).
thf(559,plain,
( sP268
| ~ sP469
| ~ sP338 ),
inference(prop_rule,[status(thm)],]) ).
thf(560,plain,
( sP268
| sP469
| sP338 ),
inference(prop_rule,[status(thm)],]) ).
thf(561,plain,
( sP136
| ~ sP268 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__23]) ).
thf(562,plain,
( sP186
| ~ sP136 ),
inference(prop_rule,[status(thm)],]) ).
thf(563,plain,
( ~ sP276
| ~ sP346
| sP186 ),
inference(prop_rule,[status(thm)],]) ).
thf(564,plain,
( ~ sP499
| sP276 ),
inference(all_rule,[status(thm)],]) ).
thf(565,plain,
( ~ sP65
| ~ sP186
| sP346 ),
inference(prop_rule,[status(thm)],]) ).
thf(566,plain,
( ~ sP234
| sP65 ),
inference(all_rule,[status(thm)],]) ).
thf(567,plain,
( ~ sP477
| sP152
| ~ sP186 ),
inference(mating_rule,[status(thm)],]) ).
thf(568,plain,
( sP208
| ~ sP63 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__22]) ).
thf(569,plain,
( sP219
| ~ sP208 ),
inference(prop_rule,[status(thm)],]) ).
thf(570,plain,
( ~ sP477
| sP508
| ~ sP219 ),
inference(mating_rule,[status(thm)],]) ).
thf(571,plain,
( sP517
| ~ sP126 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__21]) ).
thf(572,plain,
( sP406
| ~ sP517 ),
inference(prop_rule,[status(thm)],]) ).
thf(573,plain,
( ~ sP18
| ~ sP406
| sP335 ),
inference(prop_rule,[status(thm)],]) ).
thf(574,plain,
( ~ sP234
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(575,plain,
( ~ sP477
| sP99
| ~ sP406 ),
inference(mating_rule,[status(thm)],]) ).
thf(576,plain,
( ~ sP501
| sP195
| ~ sP14 ),
inference(mating_rule,[status(thm)],]) ).
thf(577,plain,
( ~ sP198
| sP195
| ~ sP454 ),
inference(mating_rule,[status(thm)],]) ).
thf(578,plain,
( sP244
| ~ sP195
| ~ sP509 ),
inference(prop_rule,[status(thm)],]) ).
thf(579,plain,
( ~ sP248
| ~ sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(580,plain,
( ~ sP295
| ~ sP496 ),
inference(all_rule,[status(thm)],]) ).
thf(581,plain,
( ~ sP46
| sP3
| ~ sP520 ),
inference(mating_rule,[status(thm)],]) ).
thf(582,plain,
( ~ sP255
| sP3
| ~ sP386 ),
inference(mating_rule,[status(thm)],]) ).
thf(583,plain,
( sP513
| ~ sP3
| ~ sP496 ),
inference(prop_rule,[status(thm)],]) ).
thf(584,plain,
( sP513
| sP3
| sP496 ),
inference(prop_rule,[status(thm)],]) ).
thf(585,plain,
( sP332
| ~ sP528 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__19]) ).
thf(586,plain,
( ~ sP248
| ~ sP85 ),
inference(all_rule,[status(thm)],]) ).
thf(587,plain,
( ~ sP269
| ~ sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(588,plain,
( sP154
| ~ sP521
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(589,plain,
( sP154
| sP521
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(590,plain,
( ~ sP46
| sP85
| ~ sP154 ),
inference(mating_rule,[status(thm)],]) ).
thf(591,plain,
( sP264
| ~ sP99
| ~ sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(592,plain,
( sP264
| sP99
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(593,plain,
( ~ sP255
| sP85
| ~ sP264 ),
inference(mating_rule,[status(thm)],]) ).
thf(594,plain,
( ~ sP306
| sP21
| ~ sP464 ),
inference(mating_rule,[status(thm)],]) ).
thf(595,plain,
( ~ sP106
| sP21
| ~ sP254 ),
inference(mating_rule,[status(thm)],]) ).
thf(596,plain,
( sP421
| ~ sP85
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(597,plain,
( sP421
| sP85
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(598,plain,
( ~ sP269
| ~ sP446 ),
inference(all_rule,[status(thm)],]) ).
thf(599,plain,
( ~ sP128
| ~ sP55 ),
inference(all_rule,[status(thm)],]) ).
thf(600,plain,
( ~ sP451
| sP55
| ~ sP333 ),
inference(mating_rule,[status(thm)],]) ).
thf(601,plain,
( ~ sP238
| sP55
| ~ sP380 ),
inference(mating_rule,[status(thm)],]) ).
thf(602,plain,
( sP373
| ~ sP55
| ~ sP446 ),
inference(prop_rule,[status(thm)],]) ).
thf(603,plain,
( sP373
| sP55
| sP446 ),
inference(prop_rule,[status(thm)],]) ).
thf(604,plain,
( sP180
| ~ sP342 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__18]) ).
thf(605,plain,
( sP311
| ~ sP180 ),
inference(prop_rule,[status(thm)],]) ).
thf(606,plain,
( ~ sP437
| ~ sP483 ),
inference(all_rule,[status(thm)],]) ).
thf(607,plain,
( ~ sP439
| ~ sP227 ),
inference(all_rule,[status(thm)],]) ).
thf(608,plain,
( sP232
| ~ sP193
| ~ sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(609,plain,
( ~ sP365
| sP227
| ~ sP232 ),
inference(mating_rule,[status(thm)],]) ).
thf(610,plain,
( sP305
| sP119
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(611,plain,
( ~ sP150
| sP227
| ~ sP305 ),
inference(mating_rule,[status(thm)],]) ).
thf(612,plain,
( sP226
| ~ sP227
| ~ sP483 ),
inference(prop_rule,[status(thm)],]) ).
thf(613,plain,
( sP226
| sP227
| sP483 ),
inference(prop_rule,[status(thm)],]) ).
thf(614,plain,
( ~ sP300
| ~ sP215 ),
inference(all_rule,[status(thm)],]) ).
thf(615,plain,
( ~ sP439
| ~ sP176 ),
inference(all_rule,[status(thm)],]) ).
thf(616,plain,
( ~ sP365
| sP176
| ~ sP202 ),
inference(mating_rule,[status(thm)],]) ).
thf(617,plain,
( ~ sP150
| sP176
| ~ sP303 ),
inference(mating_rule,[status(thm)],]) ).
thf(618,plain,
( sP384
| ~ sP176
| ~ sP215 ),
inference(prop_rule,[status(thm)],]) ).
thf(619,plain,
( sP384
| sP176
| sP215 ),
inference(prop_rule,[status(thm)],]) ).
thf(620,plain,
( ~ sP318
| sP193
| ~ sP178 ),
inference(mating_rule,[status(thm)],]) ).
thf(621,plain,
( ~ sP382
| sP193
| ~ sP253 ),
inference(mating_rule,[status(thm)],]) ).
thf(622,plain,
( ~ sP40
| ~ sP57
| sP390 ),
inference(prop_rule,[status(thm)],]) ).
thf(623,plain,
( ~ sP324
| sP40 ),
inference(all_rule,[status(thm)],]) ).
thf(624,plain,
( ~ sP275
| sP193
| ~ sP390 ),
inference(mating_rule,[status(thm)],]) ).
thf(625,plain,
( sP433
| ~ sP384 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__17]) ).
thf(626,plain,
( sP155
| ~ sP433 ),
inference(prop_rule,[status(thm)],]) ).
thf(627,plain,
( ~ sP119
| sP197
| ~ sP155 ),
inference(mating_rule,[status(thm)],]) ).
thf(628,plain,
( sP522
| ~ sP226 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__16]) ).
thf(629,plain,
( sP395
| ~ sP522 ),
inference(prop_rule,[status(thm)],]) ).
thf(630,plain,
( ~ sP119
| sP467
| ~ sP395 ),
inference(mating_rule,[status(thm)],]) ).
thf(631,plain,
( ~ sP119
| sP410
| ~ sP311 ),
inference(mating_rule,[status(thm)],]) ).
thf(632,plain,
( sP13
| ~ sP373 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__15]) ).
thf(633,plain,
( sP291
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(634,plain,
( ~ sP484
| ~ sP291
| sP313 ),
inference(prop_rule,[status(thm)],]) ).
thf(635,plain,
( ~ sP420
| sP484 ),
inference(all_rule,[status(thm)],]) ).
thf(636,plain,
( sP231
| ~ sP421 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__14]) ).
thf(637,plain,
( sP387
| ~ sP231 ),
inference(prop_rule,[status(thm)],]) ).
thf(638,plain,
( ~ sP117
| ~ sP387
| sP241 ),
inference(prop_rule,[status(thm)],]) ).
thf(639,plain,
( ~ sP429
| sP117 ),
inference(all_rule,[status(thm)],]) ).
thf(640,plain,
( ~ sP382
| sP318
| ~ sP242 ),
inference(mating_rule,[status(thm)],]) ).
thf(641,plain,
( sP49
| ~ sP356 ),
inference(prop_rule,[status(thm)],]) ).
thf(642,plain,
( ~ sP217
| ~ sP189
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(643,plain,
( ~ sP211
| sP217 ),
inference(all_rule,[status(thm)],]) ).
thf(644,plain,
( ~ sP504
| sP211 ),
inference(all_rule,[status(thm)],]) ).
thf(645,plain,
( ~ sP73
| ~ sP49
| sP189 ),
inference(prop_rule,[status(thm)],]) ).
thf(646,plain,
( ~ sP499
| sP73 ),
inference(all_rule,[status(thm)],]) ).
thf(647,plain,
( ~ sP275
| sP318
| ~ sP49 ),
inference(mating_rule,[status(thm)],]) ).
thf(648,plain,
( ~ sP193
| sP318
| ~ sP45 ),
inference(mating_rule,[status(thm)],]) ).
thf(649,plain,
( ~ sP41
| ~ sP61
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(650,plain,
( ~ sP529
| sP41 ),
inference(all_rule,[status(thm)],]) ).
thf(651,plain,
( sP259
| ~ sP513 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__12]) ).
thf(652,plain,
( sP316
| ~ sP259 ),
inference(prop_rule,[status(thm)],]) ).
thf(653,plain,
( ~ sP35
| ~ sP316
| sP283 ),
inference(prop_rule,[status(thm)],]) ).
thf(654,plain,
( ~ sP429
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(655,plain,
( sP457
| ~ sP434 ),
inference(prop_rule,[status(thm)],]) ).
thf(656,plain,
( ~ sP423
| ~ sP457
| sP204 ),
inference(prop_rule,[status(thm)],]) ).
thf(657,plain,
( ~ sP229
| sP423 ),
inference(all_rule,[status(thm)],]) ).
thf(658,plain,
( ~ sP133
| ~ sP444
| sP460 ),
inference(prop_rule,[status(thm)],]) ).
thf(659,plain,
( ~ sP529
| sP133 ),
inference(all_rule,[status(thm)],]) ).
thf(660,plain,
( sP378
| ~ sP179 ),
inference(prop_rule,[status(thm)],]) ).
thf(661,plain,
( ~ sP252
| ~ sP378
| sP143 ),
inference(prop_rule,[status(thm)],]) ).
thf(662,plain,
( ~ sP352
| sP252 ),
inference(all_rule,[status(thm)],]) ).
thf(663,plain,
( ~ sP74
| ~ sP145
| sP407 ),
inference(prop_rule,[status(thm)],]) ).
thf(664,plain,
( ~ sP491
| sP74 ),
inference(all_rule,[status(thm)],]) ).
thf(665,plain,
( ~ sP504
| sP491 ),
inference(all_rule,[status(thm)],]) ).
thf(666,plain,
( sP169
| ~ sP270 ),
inference(prop_rule,[status(thm)],]) ).
thf(667,plain,
( sP194
| ~ sP244 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__11]) ).
thf(668,plain,
( ~ sP33
| ~ sP506
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(669,plain,
( ~ sP420
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(670,plain,
( ~ sP504
| sP420 ),
inference(all_rule,[status(thm)],]) ).
thf(671,plain,
( sP120
| ~ sP515 ),
inference(prop_rule,[status(thm)],]) ).
thf(672,plain,
( ~ sP56
| ~ sP123
| sP120 ),
inference(prop_rule,[status(thm)],]) ).
thf(673,plain,
( ~ sP499
| sP56 ),
inference(all_rule,[status(thm)],]) ).
thf(674,plain,
( ~ sP504
| sP499 ),
inference(all_rule,[status(thm)],]) ).
thf(675,plain,
( ~ sP113
| ~ sP120
| sP123 ),
inference(prop_rule,[status(thm)],]) ).
thf(676,plain,
( ~ sP229
| sP113 ),
inference(all_rule,[status(thm)],]) ).
thf(677,plain,
( sP453
| ~ sP188 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__10]) ).
thf(678,plain,
( sP443
| ~ sP453 ),
inference(prop_rule,[status(thm)],]) ).
thf(679,plain,
( ~ sP504
| sP429 ),
inference(all_rule,[status(thm)],]) ).
thf(680,plain,
( ~ sP500
| ~ sP219
| sP228 ),
inference(prop_rule,[status(thm)],]) ).
thf(681,plain,
( ~ sP234
| sP500 ),
inference(all_rule,[status(thm)],]) ).
thf(682,plain,
( ~ sP504
| sP234 ),
inference(all_rule,[status(thm)],]) ).
thf(683,plain,
( ~ sP9
| sP2
| ~ sP506 ),
inference(mating_rule,[status(thm)],]) ).
thf(684,plain,
( ~ sP331
| sP2
| ~ sP145 ),
inference(mating_rule,[status(thm)],]) ).
thf(685,plain,
( ~ sP323
| sP2
| ~ sP148 ),
inference(mating_rule,[status(thm)],]) ).
thf(686,plain,
( ~ sP99
| sP152
| ~ sP109 ),
inference(mating_rule,[status(thm)],]) ).
thf(687,plain,
( ~ sP99
| sP508
| ~ sP340 ),
inference(mating_rule,[status(thm)],]) ).
thf(688,plain,
( ~ sP99
| sP477
| ~ sP335 ),
inference(mating_rule,[status(thm)],]) ).
thf(689,plain,
( ~ sP410
| sP197
| ~ sP204 ),
inference(mating_rule,[status(thm)],]) ).
thf(690,plain,
( ~ sP467
| sP197
| ~ sP164 ),
inference(mating_rule,[status(thm)],]) ).
thf(691,plain,
( ~ sP442
| ~ sP155
| sP492 ),
inference(prop_rule,[status(thm)],]) ).
thf(692,plain,
( ~ sP324
| sP442 ),
inference(all_rule,[status(thm)],]) ).
thf(693,plain,
( ~ sP504
| sP229 ),
inference(all_rule,[status(thm)],]) ).
thf(694,plain,
( ~ sP318
| sP275
| ~ sP189 ),
inference(mating_rule,[status(thm)],]) ).
thf(695,plain,
( ~ sP382
| sP275
| ~ sP91 ),
inference(mating_rule,[status(thm)],]) ).
thf(696,plain,
( ~ sP193
| sP275
| ~ sP57 ),
inference(mating_rule,[status(thm)],]) ).
thf(697,plain,
( ~ sP152
| sP508
| ~ sP123 ),
inference(mating_rule,[status(thm)],]) ).
thf(698,plain,
( ~ sP152
| sP99
| ~ sP25 ),
inference(mating_rule,[status(thm)],]) ).
thf(699,plain,
( ~ sP152
| sP477
| ~ sP346 ),
inference(mating_rule,[status(thm)],]) ).
thf(700,plain,
( ~ sP9
| sP331
| ~ sP52 ),
inference(mating_rule,[status(thm)],]) ).
thf(701,plain,
( ~ sP9
| sP323
| ~ sP173 ),
inference(mating_rule,[status(thm)],]) ).
thf(702,plain,
( ~ sP410
| sP467
| ~ sP444 ),
inference(mating_rule,[status(thm)],]) ).
thf(703,plain,
( ~ sP197
| sP467
| ~ sP494 ),
inference(mating_rule,[status(thm)],]) ).
thf(704,plain,
( sP490
| ~ sP194 ),
inference(prop_rule,[status(thm)],]) ).
thf(705,plain,
( ~ sP59
| ~ sP395
| sP490 ),
inference(prop_rule,[status(thm)],]) ).
thf(706,plain,
( ~ sP324
| sP59 ),
inference(all_rule,[status(thm)],]) ).
thf(707,plain,
( ~ sP235
| ~ sP490
| sP395 ),
inference(prop_rule,[status(thm)],]) ).
thf(708,plain,
( ~ sP352
| sP235 ),
inference(all_rule,[status(thm)],]) ).
thf(709,plain,
( ~ sP504
| sP352 ),
inference(all_rule,[status(thm)],]) ).
thf(710,plain,
( ~ sP318
| sP382
| ~ sP122 ),
inference(mating_rule,[status(thm)],]) ).
thf(711,plain,
( ~ sP275
| sP382
| ~ sP94 ),
inference(mating_rule,[status(thm)],]) ).
thf(712,plain,
( ~ sP193
| sP382
| ~ sP435 ),
inference(mating_rule,[status(thm)],]) ).
thf(713,plain,
( ~ sP331
| sP323
| ~ sP143 ),
inference(mating_rule,[status(thm)],]) ).
thf(714,plain,
( ~ sP331
| sP9
| ~ sP87 ),
inference(mating_rule,[status(thm)],]) ).
thf(715,plain,
( ~ sP467
| sP410
| ~ sP460 ),
inference(mating_rule,[status(thm)],]) ).
thf(716,plain,
( ~ sP197
| sP410
| ~ sP457 ),
inference(mating_rule,[status(thm)],]) ).
thf(717,plain,
( sP206
| ~ sP332 ),
inference(prop_rule,[status(thm)],]) ).
thf(718,plain,
( ~ sP440
| ~ sP311
| sP206 ),
inference(prop_rule,[status(thm)],]) ).
thf(719,plain,
( ~ sP324
| sP440 ),
inference(all_rule,[status(thm)],]) ).
thf(720,plain,
( ~ sP504
| sP324 ),
inference(all_rule,[status(thm)],]) ).
thf(721,plain,
( ~ sP397
| ~ sP206
| sP311 ),
inference(prop_rule,[status(thm)],]) ).
thf(722,plain,
( ~ sP529
| sP397 ),
inference(all_rule,[status(thm)],]) ).
thf(723,plain,
( ~ sP504
| sP529 ),
inference(all_rule,[status(thm)],]) ).
thf(724,plain,
sP504,
inference(eq_sym,[status(thm)],]) ).
thf(choiceax5,axiom,
! [X1: $o > $o] :
( ~ ! [X2: $o] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps5 @ X1 ) ) ) ).
thf(725,plain,
( sP306
| sP269 ),
inference(choice_rule,[status(thm)],[choiceax5]) ).
thf(726,plain,
( ~ sP370
| sP140
| ~ sP289 ),
inference(mating_rule,[status(thm)],]) ).
thf(727,plain,
( ~ sP302
| sP140
| ~ sP291 ),
inference(mating_rule,[status(thm)],]) ).
thf(728,plain,
( ~ sP521
| sP140
| ~ sP387 ),
inference(mating_rule,[status(thm)],]) ).
thf(choiceax3,axiom,
! [X1: $o > $o] :
( ~ ! [X2: $o] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps3 @ X1 ) ) ) ).
thf(729,plain,
( sP106
| sP269 ),
inference(choice_rule,[status(thm)],[choiceax3]) ).
thf(730,plain,
( sP20
| ~ sP140
| ~ sP318 ),
inference(prop_rule,[status(thm)],]) ).
thf(731,plain,
( sP20
| sP140
| sP318 ),
inference(prop_rule,[status(thm)],]) ).
thf(732,plain,
( ~ sP410
| sP119
| ~ sP206 ),
inference(mating_rule,[status(thm)],]) ).
thf(choiceax4,axiom,
! [X1: $o > $o] :
( ~ ! [X2: $o] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps4 @ X1 ) ) ) ).
thf(733,plain,
( sP199
| sP295 ),
inference(choice_rule,[status(thm)],[choiceax4]) ).
thf(734,plain,
( ~ sP302
| sP370
| ~ sP70 ),
inference(mating_rule,[status(thm)],]) ).
thf(735,plain,
( ~ sP521
| sP370
| ~ sP316 ),
inference(mating_rule,[status(thm)],]) ).
thf(736,plain,
( sP392
| sP295 ),
inference(choice_rule,[status(thm)],[choiceax3]) ).
thf(737,plain,
( sP272
| ~ sP370
| ~ sP410 ),
inference(prop_rule,[status(thm)],]) ).
thf(738,plain,
( sP272
| sP370
| sP410 ),
inference(prop_rule,[status(thm)],]) ).
thf(739,plain,
( sP44
| sP430 ),
inference(choice_rule,[status(thm)],[choiceax5]) ).
thf(740,plain,
( ~ sP323
| sP331
| ~ sP378 ),
inference(mating_rule,[status(thm)],]) ).
thf(741,plain,
( ~ sP2
| sP331
| ~ sP407 ),
inference(mating_rule,[status(thm)],]) ).
thf(choiceax2,axiom,
! [X1: $o > $o] :
( ~ ! [X2: $o] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps2 @ X1 ) ) ) ).
thf(742,plain,
( sP285
| sP430 ),
inference(choice_rule,[status(thm)],[choiceax2]) ).
thf(743,plain,
( sP39
| ~ sP331
| ~ sP382 ),
inference(prop_rule,[status(thm)],]) ).
thf(744,plain,
( sP39
| sP331
| sP382 ),
inference(prop_rule,[status(thm)],]) ).
thf(745,plain,
( ~ sP323
| sP9
| ~ sP169 ),
inference(mating_rule,[status(thm)],]) ).
thf(746,plain,
( ~ sP467
| sP119
| ~ sP490 ),
inference(mating_rule,[status(thm)],]) ).
thf(747,plain,
( sP501
| sP437 ),
inference(choice_rule,[status(thm)],[choiceax4]) ).
thf(748,plain,
( ~ sP2
| sP323
| ~ sP296 ),
inference(mating_rule,[status(thm)],]) ).
thf(749,plain,
( sP198
| sP437 ),
inference(choice_rule,[status(thm)],[choiceax2]) ).
thf(750,plain,
( sP290
| ~ sP323
| ~ sP467 ),
inference(prop_rule,[status(thm)],]) ).
thf(751,plain,
( sP290
| sP323
| sP467 ),
inference(prop_rule,[status(thm)],]) ).
thf(752,plain,
( sP451
| sP128 ),
inference(choice_rule,[status(thm)],[choiceax3]) ).
thf(753,plain,
( ~ sP2
| sP9
| ~ sP11 ),
inference(mating_rule,[status(thm)],]) ).
thf(754,plain,
( sP238
| sP128 ),
inference(choice_rule,[status(thm)],[choiceax2]) ).
thf(755,plain,
( sP43
| ~ sP9
| ~ sP302 ),
inference(prop_rule,[status(thm)],]) ).
thf(756,plain,
( sP43
| sP9
| sP302 ),
inference(prop_rule,[status(thm)],]) ).
thf(757,plain,
( sP349
| sP175 ),
inference(choice_rule,[status(thm)],[choiceax5]) ).
thf(758,plain,
( ~ sP508
| sP152
| ~ sP120 ),
inference(mating_rule,[status(thm)],]) ).
thf(choiceax1,axiom,
! [X1: $o > $o] :
( ~ ! [X2: $o] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps1 @ X1 ) ) ) ).
thf(759,plain,
( sP53
| sP175 ),
inference(choice_rule,[status(thm)],[choiceax1]) ).
thf(760,plain,
( sP411
| ~ sP152
| ~ sP275 ),
inference(prop_rule,[status(thm)],]) ).
thf(761,plain,
( sP411
| sP152
| sP275 ),
inference(prop_rule,[status(thm)],]) ).
thf(762,plain,
( ~ sP508
| sP99
| ~ sP443 ),
inference(mating_rule,[status(thm)],]) ).
thf(763,plain,
( ~ sP508
| sP477
| ~ sP228 ),
inference(mating_rule,[status(thm)],]) ).
thf(764,plain,
( ~ sP197
| sP119
| ~ sP492 ),
inference(mating_rule,[status(thm)],]) ).
thf(765,plain,
( sP135
| sP300 ),
inference(choice_rule,[status(thm)],[choiceax4]) ).
thf(766,plain,
( sP214
| sP300 ),
inference(choice_rule,[status(thm)],[choiceax1]) ).
thf(767,plain,
( sP97
| ~ sP508
| ~ sP197 ),
inference(prop_rule,[status(thm)],]) ).
thf(768,plain,
( sP97
| sP508
| sP197 ),
inference(prop_rule,[status(thm)],]) ).
thf(769,plain,
( sP46
| sP248 ),
inference(choice_rule,[status(thm)],[choiceax3]) ).
thf(770,plain,
( sP255
| sP248 ),
inference(choice_rule,[status(thm)],[choiceax1]) ).
thf(771,plain,
( sP301
| ~ sP99
| ~ sP521 ),
inference(prop_rule,[status(thm)],]) ).
thf(772,plain,
( sP301
| sP99
| sP521 ),
inference(prop_rule,[status(thm)],]) ).
thf(773,plain,
( sP350
| sP168 ),
inference(choice_rule,[status(thm)],[choiceax2]) ).
thf(774,plain,
( sP132
| sP168 ),
inference(choice_rule,[status(thm)],[choiceax1]) ).
thf(775,plain,
( sP366
| ~ sP477
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(776,plain,
( sP366
| sP477
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(777,plain,
( sP93
| ~ sP366 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__9]) ).
thf(778,plain,
( sP210
| ~ sP93 ),
inference(prop_rule,[status(thm)],]) ).
thf(779,plain,
( sP287
| ~ sP301 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__8]) ).
thf(780,plain,
( sP1
| ~ sP287 ),
inference(prop_rule,[status(thm)],]) ).
thf(781,plain,
( sP478
| ~ sP97 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__7]) ).
thf(782,plain,
( sP487
| ~ sP478 ),
inference(prop_rule,[status(thm)],]) ).
thf(783,plain,
( sP473
| ~ sP411 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__6]) ).
thf(784,plain,
( sP250
| ~ sP473 ),
inference(prop_rule,[status(thm)],]) ).
thf(785,plain,
( sP339
| ~ sP43 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__5]) ).
thf(786,plain,
( sP415
| ~ sP339 ),
inference(prop_rule,[status(thm)],]) ).
thf(787,plain,
( sP383
| ~ sP290 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__4]) ).
thf(788,plain,
( sP314
| ~ sP383 ),
inference(prop_rule,[status(thm)],]) ).
thf(789,plain,
( sP30
| ~ sP39 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__3]) ).
thf(790,plain,
( sP131
| ~ sP30 ),
inference(prop_rule,[status(thm)],]) ).
thf(791,plain,
( sP15
| ~ sP272 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__2]) ).
thf(792,plain,
( sP223
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(793,plain,
( sP200
| ~ sP20 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__1]) ).
thf(794,plain,
( sP75
| ~ sP200 ),
inference(prop_rule,[status(thm)],]) ).
thf(795,plain,
( sP365
| sP439 ),
inference(choice_rule,[status(thm)],[choiceax5]) ).
thf(796,plain,
( sP150
| sP439 ),
inference(choice_rule,[status(thm)],[choiceax4]) ).
thf(797,plain,
( sP256
| ~ sP119
| ~ sP193 ),
inference(prop_rule,[status(thm)],]) ).
thf(798,plain,
( sP256
| sP119
| sP193 ),
inference(prop_rule,[status(thm)],]) ).
thf(799,plain,
( sP456
| ~ sP256 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__0]) ).
thf(800,plain,
( sP403
| ~ sP456 ),
inference(prop_rule,[status(thm)],]) ).
thf(choiceax45,axiom,
~ sP403 ).
thf(choiceax35,axiom,
~ sP75 ).
thf(choiceax34,axiom,
~ sP223 ).
thf(choiceax25,axiom,
~ sP131 ).
thf(choiceax24,axiom,
~ sP314 ).
thf(choiceax23,axiom,
~ sP415 ).
thf(choiceax15,axiom,
~ sP250 ).
thf(choiceax14,axiom,
~ sP487 ).
thf(choiceax13,axiom,
~ sP1 ).
thf(choiceax12,axiom,
~ sP210 ).
thf(801,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,choiceax45,choiceax35,choiceax34,choiceax25,choiceax24,choiceax23,choiceax15,choiceax14,choiceax13,choiceax12]) ).
thf(802,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h0]),eigenvar_choice(discharge,[h1])],[801,h1]) ).
thf(803,plain,
$false,
inference(eigenvar_choice,[status(thm),eigenvar_choice(discharge,[h0])],[802,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO529^1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 11:22:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.10/5.35 % SZS status Unsatisfiable
% 5.10/5.35 % Mode: mode506
% 5.10/5.35 % Inferences: 26729
% 5.10/5.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------