%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO885^1.330.100 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:55:01 AM UTC 2026
% Result : Theorem 2.14s 1.60s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 161 ( 20 unt; 0 typ; 19 def)
% Number of atoms : 29947 (2721 equ; 0 cnn)
% Maximal formula atoms : 124 ( 186 avg)
% Number of connectives : 31513 (2636 ~;2515 |; 198 &;26145 @)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 144 ( 22 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1602 (1602 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 51 usr; 50 con; 0-30 aty)
% Number of variables : 999 ( 465 ^; 532 !; 2 ?; 999 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_30,type,
f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(func_def_35,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f216,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f120,f125,f130,f135,f140,f145,f150,f155,f160,f165,f170,f175,f180,f185,f190,f195,f200,f205,f210,f215]) ).
thf(f215,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[status(thm)],[f214]) ).
thf(f214,plain,
( $false
| ~ spl0_22 ),
inference(trivial_inequality_removal,[status(thm)],[f213]) ).
thf(f213,plain,
( ( b10 != b10 )
| ~ spl0_22 ),
inference(duplicate_literal_removal,[status(thm)],[f212]) ).
thf(f212,plain,
( ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ~ spl0_22 ),
inference(beta_eta_normalization,[status(thm)],[f211]) ).
thf(f211,plain,
( ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a1
@ a0
@ a2 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a0
@ a2
@ a1 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a1
@ a2
@ a0 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a0
@ a1
@ a2 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a2
@ a0
@ a1 ) )
| ~ spl0_22 ),
inference(equality_resolution,[status(thm)],[f119]) ).
thf(f119,plain,
( ! [X12: $i > $i > $i > $i] :
( ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[status(thm)],[f118]) ).
thf(f118,definition,
( spl0_22
<=> ! [X12: $i > $i > $i > $i] :
( ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition]) ).
thf(f210,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[status(thm)],[f209]) ).
thf(f209,plain,
( $false
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f208]) ).
thf(f208,plain,
( ( b14 != b14 )
| ~ spl0_21 ),
inference(duplicate_literal_removal,[status(thm)],[f207]) ).
thf(f207,plain,
( ( b14 != b14 )
| ( b14 != b14 )
| ( b14 != b14 )
| ( b14 != b14 )
| ( b14 != b14 )
| ~ spl0_21 ),
inference(beta_eta_normalization,[status(thm)],[f206]) ).
thf(f206,plain,
( ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a0
@ a2
@ a1 ) )
| ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a0
@ a1
@ a2 ) )
| ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a1
@ a2
@ a0 ) )
| ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a2
@ a0
@ a1 ) )
| ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a1
@ a0
@ a2 ) )
| ~ spl0_21 ),
inference(equality_resolution,[status(thm)],[f116]) ).
thf(f116,plain,
( ! [X1: $i > $i > $i > $i] :
( ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f115,definition,
( spl0_21
<=> ! [X1: $i > $i > $i > $i] :
( ( b14
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f205,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[status(thm)],[f204]) ).
thf(f204,plain,
( $false
| ~ spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f203]) ).
thf(f203,plain,
( ( b7 != b7 )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[status(thm)],[f202]) ).
thf(f202,plain,
( ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ~ spl0_20 ),
inference(beta_eta_normalization,[status(thm)],[f201]) ).
thf(f201,plain,
( ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a1
@ a0
@ a2 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a0
@ a1
@ a2 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a2
@ a0
@ a1 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a1
@ a2
@ a0 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a0
@ a2
@ a1 ) )
| ~ spl0_20 ),
inference(equality_resolution,[status(thm)],[f113]) ).
thf(f113,plain,
( ! [X14: $i > $i > $i > $i] :
( ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f112]) ).
thf(f112,definition,
( spl0_20
<=> ! [X14: $i > $i > $i > $i] :
( ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f200,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[status(thm)],[f199]) ).
thf(f199,plain,
( $false
| ~ spl0_19 ),
inference(trivial_inequality_removal,[status(thm)],[f198]) ).
thf(f198,plain,
( ( b20 != b20 )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[status(thm)],[f197]) ).
thf(f197,plain,
( ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ~ spl0_19 ),
inference(beta_eta_normalization,[status(thm)],[f196]) ).
thf(f196,plain,
( ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a2
@ a0
@ a1 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a1
@ a2
@ a0 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a0
@ a1
@ a2 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a1
@ a0
@ a2 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a0
@ a2
@ a1 ) )
| ~ spl0_19 ),
inference(equality_resolution,[status(thm)],[f110]) ).
thf(f110,plain,
( ! [X8: $i > $i > $i > $i] :
( ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[status(thm)],[f109]) ).
thf(f109,definition,
( spl0_19
<=> ! [X8: $i > $i > $i > $i] :
( ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition]) ).
thf(f195,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[status(thm)],[f194]) ).
thf(f194,plain,
( $false
| ~ spl0_18 ),
inference(trivial_inequality_removal,[status(thm)],[f193]) ).
thf(f193,plain,
( ( b19 != b19 )
| ~ spl0_18 ),
inference(duplicate_literal_removal,[status(thm)],[f192]) ).
thf(f192,plain,
( ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ~ spl0_18 ),
inference(beta_eta_normalization,[status(thm)],[f191]) ).
thf(f191,plain,
( ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a1
@ a0
@ a2 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a1
@ a2
@ a0 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a0
@ a1
@ a2 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a0
@ a2
@ a1 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a2
@ a0
@ a1 ) )
| ~ spl0_18 ),
inference(equality_resolution,[status(thm)],[f107]) ).
thf(f107,plain,
( ! [X18: $i > $i > $i > $i] :
( ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f106]) ).
thf(f106,definition,
( spl0_18
<=> ! [X18: $i > $i > $i > $i] :
( ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f190,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[status(thm)],[f189]) ).
thf(f189,plain,
( $false
| ~ spl0_17 ),
inference(trivial_inequality_removal,[status(thm)],[f188]) ).
thf(f188,plain,
( ( b2 != b2 )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[status(thm)],[f187]) ).
thf(f187,plain,
( ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ~ spl0_17 ),
inference(beta_eta_normalization,[status(thm)],[f186]) ).
thf(f186,plain,
( ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a0
@ a2
@ a1 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a0
@ a1
@ a2 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a2
@ a0
@ a1 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a1
@ a0
@ a2 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a1
@ a2
@ a0 ) )
| ~ spl0_17 ),
inference(equality_resolution,[status(thm)],[f104]) ).
thf(f104,plain,
( ! [X16: $i > $i > $i > $i] :
( ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f103]) ).
thf(f103,definition,
( spl0_17
<=> ! [X16: $i > $i > $i > $i] :
( ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition]) ).
thf(f185,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[status(thm)],[f184]) ).
thf(f184,plain,
( $false
| ~ spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f183]) ).
thf(f183,plain,
( ( b3 != b3 )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[status(thm)],[f182]) ).
thf(f182,plain,
( ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ~ spl0_16 ),
inference(beta_eta_normalization,[status(thm)],[f181]) ).
thf(f181,plain,
( ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a1
@ a0
@ a2 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a2
@ a0
@ a1 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a1
@ a2
@ a0 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a0
@ a2
@ a1 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a0
@ a1
@ a2 ) )
| ~ spl0_16 ),
inference(equality_resolution,[status(thm)],[f101]) ).
thf(f101,plain,
( ! [X11: $i > $i > $i > $i] :
( ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f100]) ).
thf(f100,definition,
( spl0_16
<=> ! [X11: $i > $i > $i > $i] :
( ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f180,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[status(thm)],[f179]) ).
thf(f179,plain,
( $false
| ~ spl0_15 ),
inference(trivial_inequality_removal,[status(thm)],[f178]) ).
thf(f178,plain,
( ( b15 != b15 )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[status(thm)],[f177]) ).
thf(f177,plain,
( ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ~ spl0_15 ),
inference(beta_eta_normalization,[status(thm)],[f176]) ).
thf(f176,plain,
( ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a0
@ a2
@ a1 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a1
@ a2
@ a0 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a0
@ a1
@ a2 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a2
@ a0
@ a1 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a1
@ a0
@ a2 ) )
| ~ spl0_15 ),
inference(equality_resolution,[status(thm)],[f98]) ).
thf(f98,plain,
( ! [X15: $i > $i > $i > $i] :
( ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[status(thm)],[f97]) ).
thf(f97,definition,
( spl0_15
<=> ! [X15: $i > $i > $i > $i] :
( ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition]) ).
thf(f175,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[status(thm)],[f174]) ).
thf(f174,plain,
( $false
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f173]) ).
thf(f173,plain,
( ( b24 != b24 )
| ~ spl0_14 ),
inference(duplicate_literal_removal,[status(thm)],[f172]) ).
thf(f172,plain,
( ( b24 != b24 )
| ( b24 != b24 )
| ( b24 != b24 )
| ( b24 != b24 )
| ( b24 != b24 )
| ~ spl0_14 ),
inference(beta_eta_normalization,[status(thm)],[f171]) ).
thf(f171,plain,
( ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a0
@ a1
@ a2 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a1
@ a0
@ a2 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a0
@ a2
@ a1 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a2
@ a0
@ a1 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a1
@ a2
@ a0 ) )
| ~ spl0_14 ),
inference(equality_resolution,[status(thm)],[f95]) ).
thf(f95,plain,
( ! [X2: $i > $i > $i > $i] :
( ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f94]) ).
thf(f94,definition,
( spl0_14
<=> ! [X2: $i > $i > $i > $i] :
( ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f170,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[status(thm)],[f169]) ).
thf(f169,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f168]) ).
thf(f168,plain,
( ( b1 != b1 )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[status(thm)],[f167]) ).
thf(f167,plain,
( ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ~ spl0_13 ),
inference(beta_eta_normalization,[status(thm)],[f166]) ).
thf(f166,plain,
( ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a2
@ a0
@ a1 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a0
@ a2
@ a1 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a1
@ a0
@ a2 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a0
@ a1
@ a2 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a1
@ a2
@ a0 ) )
| ~ spl0_13 ),
inference(equality_resolution,[status(thm)],[f92]) ).
thf(f92,plain,
( ! [X17: $i > $i > $i > $i] :
( ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f91]) ).
thf(f91,definition,
( spl0_13
<=> ! [X17: $i > $i > $i > $i] :
( ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f165,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[status(thm)],[f164]) ).
thf(f164,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f163]) ).
thf(f163,plain,
( ( b4 != b4 )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[status(thm)],[f162]) ).
thf(f162,plain,
( ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ~ spl0_12 ),
inference(beta_eta_normalization,[status(thm)],[f161]) ).
thf(f161,plain,
( ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a2
@ a0
@ a1 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a0
@ a2
@ a1 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a1
@ a0
@ a2 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a1
@ a2
@ a0 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a0
@ a1
@ a2 ) )
| ~ spl0_12 ),
inference(equality_resolution,[status(thm)],[f89]) ).
thf(f89,plain,
( ! [X9: $i > $i > $i > $i] :
( ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f88]) ).
thf(f88,definition,
( spl0_12
<=> ! [X9: $i > $i > $i > $i] :
( ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f160,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[status(thm)],[f159]) ).
thf(f159,plain,
( $false
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f158]) ).
thf(f158,plain,
( ( b26 != b26 )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[status(thm)],[f157]) ).
thf(f157,plain,
( ( b26 != b26 )
| ( b26 != b26 )
| ( b26 != b26 )
| ( b26 != b26 )
| ( b26 != b26 )
| ~ spl0_11 ),
inference(beta_eta_normalization,[status(thm)],[f156]) ).
thf(f156,plain,
( ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a2
@ a0
@ a1 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a0
@ a1
@ a2 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a0
@ a2
@ a1 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a1
@ a2
@ a0 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a1
@ a0
@ a2 ) )
| ~ spl0_11 ),
inference(equality_resolution,[status(thm)],[f86]) ).
thf(f86,plain,
( ! [X3: $i > $i > $i > $i] :
( ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f85]) ).
thf(f85,definition,
( spl0_11
<=> ! [X3: $i > $i > $i > $i] :
( ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f155,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[status(thm)],[f154]) ).
thf(f154,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f153]) ).
thf(f153,plain,
( ( b11 != b11 )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[status(thm)],[f152]) ).
thf(f152,plain,
( ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ~ spl0_10 ),
inference(beta_eta_normalization,[status(thm)],[f151]) ).
thf(f151,plain,
( ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a1
@ a0
@ a2 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a1
@ a2
@ a0 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a2
@ a0
@ a1 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a0
@ a1
@ a2 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a0
@ a2
@ a1 ) )
| ~ spl0_10 ),
inference(equality_resolution,[status(thm)],[f83]) ).
thf(f83,plain,
( ! [X6: $i > $i > $i > $i] :
( ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f82]) ).
thf(f82,definition,
( spl0_10
<=> ! [X6: $i > $i > $i > $i] :
( ( b11
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f150,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[status(thm)],[f149]) ).
thf(f149,plain,
( $false
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f148]) ).
thf(f148,plain,
( ( b17 != b17 )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[status(thm)],[f147]) ).
thf(f147,plain,
( ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ~ spl0_9 ),
inference(beta_eta_normalization,[status(thm)],[f146]) ).
thf(f146,plain,
( ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a0
@ a2
@ a1 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a1
@ a2
@ a0 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a0
@ a1
@ a2 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a1
@ a0
@ a2 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a2
@ a0
@ a1 ) )
| ~ spl0_9 ),
inference(equality_resolution,[status(thm)],[f80]) ).
thf(f80,plain,
( ! [X7: $i > $i > $i > $i] :
( ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f79]) ).
thf(f79,definition,
( spl0_9
<=> ! [X7: $i > $i > $i > $i] :
( ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f145,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[status(thm)],[f144]) ).
thf(f144,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f143]) ).
thf(f143,plain,
( ( b18 != b18 )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[status(thm)],[f142]) ).
thf(f142,plain,
( ( b18 != b18 )
| ( b18 != b18 )
| ( b18 != b18 )
| ( b18 != b18 )
| ( b18 != b18 )
| ~ spl0_8 ),
inference(beta_eta_normalization,[status(thm)],[f141]) ).
thf(f141,plain,
( ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a0
@ a1
@ a2 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a1
@ a0
@ a2 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a0
@ a2
@ a1 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a1
@ a2
@ a0 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a2
@ a0
@ a1 ) )
| ~ spl0_8 ),
inference(equality_resolution,[status(thm)],[f77]) ).
thf(f77,plain,
( ! [X4: $i > $i > $i > $i] :
( ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f76]) ).
thf(f76,definition,
( spl0_8
<=> ! [X4: $i > $i > $i > $i] :
( ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f140,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[status(thm)],[f139]) ).
thf(f139,plain,
( $false
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f138]) ).
thf(f138,plain,
( ( b6 != b6 )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[status(thm)],[f137]) ).
thf(f137,plain,
( ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ~ spl0_7 ),
inference(beta_eta_normalization,[status(thm)],[f136]) ).
thf(f136,plain,
( ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a0
@ a1
@ a2 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a2
@ a0
@ a1 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a1
@ a2
@ a0 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a1
@ a0
@ a2 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a0
@ a2
@ a1 ) )
| ~ spl0_7 ),
inference(equality_resolution,[status(thm)],[f74]) ).
thf(f74,plain,
( ! [X10: $i > $i > $i > $i] :
( ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f73]) ).
thf(f73,definition,
( spl0_7
<=> ! [X10: $i > $i > $i > $i] :
( ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f135,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[status(thm)],[f134]) ).
thf(f134,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f133]) ).
thf(f133,plain,
( ( b23 != b23 )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[status(thm)],[f132]) ).
thf(f132,plain,
( ( b23 != b23 )
| ( b23 != b23 )
| ( b23 != b23 )
| ( b23 != b23 )
| ( b23 != b23 )
| ~ spl0_6 ),
inference(beta_eta_normalization,[status(thm)],[f131]) ).
thf(f131,plain,
( ( b23
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b23
@ a1
@ a0
@ a2 ) )
| ( b23
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b23
@ a0
@ a1
@ a2 ) )
| ( b23
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b23
@ a2
@ a0
@ a1 ) )
| ( b23
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b23
@ a0
@ a2
@ a1 ) )
| ( b23
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b23
@ a2
@ a1
@ a0 ) )
| ~ spl0_6 ),
inference(equality_resolution,[status(thm)],[f71]) ).
thf(f71,plain,
( ! [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f70]) ).
thf(f70,definition,
( spl0_6
<=> ! [X0: $i > $i > $i > $i] :
( ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f130,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[status(thm)],[f129]) ).
thf(f129,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f128]) ).
thf(f128,plain,
( ( b21 != b21 )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[status(thm)],[f127]) ).
thf(f127,plain,
( ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f126]) ).
thf(f126,plain,
( ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a2
@ a0
@ a1 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a0
@ a1
@ a2 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a1
@ a0
@ a2 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a1
@ a2
@ a0 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a0
@ a2
@ a1 ) )
| ~ spl0_5 ),
inference(equality_resolution,[status(thm)],[f68]) ).
thf(f68,plain,
( ! [X13: $i > $i > $i > $i] :
( ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f67]) ).
thf(f67,definition,
( spl0_5
<=> ! [X13: $i > $i > $i > $i] :
( ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f125,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[status(thm)],[f124]) ).
thf(f124,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f123]) ).
thf(f123,plain,
( ( b8 != b8 )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[status(thm)],[f122]) ).
thf(f122,plain,
( ( b8 != b8 )
| ( b8 != b8 )
| ( b8 != b8 )
| ( b8 != b8 )
| ( b8 != b8 )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f121]) ).
thf(f121,plain,
( ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a1
@ a2
@ a0 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a2
@ a0
@ a1 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a1
@ a0
@ a2 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a0
@ a2
@ a1 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a0
@ a1
@ a2 ) )
| ~ spl0_4 ),
inference(equality_resolution,[status(thm)],[f65]) ).
thf(f65,plain,
( ! [X5: $i > $i > $i > $i] :
( ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f64]) ).
thf(f64,definition,
( spl0_4
<=> ! [X5: $i > $i > $i > $i] :
( ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f120,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22 ),
inference(avatar_split_clause,[status(thm)],[f62,f118,f115,f112,f109,f106,f103,f100,f97,f94,f91,f88,f85,f82,f79,f76,f73,f70,f67,f64]) ).
thf(f62,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X4: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f61]) ).
thf(f61,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X1: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X7: $i > $i > $i > $i,X6: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b16 != b16 )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b0 != b0 )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f60]) ).
thf(f60,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b16 != b16 )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b16 != b16 )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b0 != b0 )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b16 != b16 )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b16 != b16 )
| ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b0 != b0 )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b16 != b16 )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b0 != b0 )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b0 != b0 )
| ( b0 != b0 )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f59]) ).
thf(f59,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X1: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X16: $i > $i > $i > $i,X8: $i > $i > $i > $i,X4: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a0
@ a1
@ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a2
@ a0
@ a1 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a1
@ a2
@ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b20
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a0
@ a2
@ a1 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a0
@ a2
@ a1 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a2
@ a1
@ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a2
@ a1
@ a0 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a0
@ a1
@ a2 ) )
| ( b23
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a1
@ a2
@ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a2
@ a0
@ a1 ) )
| ( b19
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) ) ),
inference(equality_resolution,[status(thm)],[f58]) ).
thf(f58,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X7: $i > $i > $i > $i,X6: $i > $i > $i > $i,X4: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f57]) ).
thf(f57,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X6: $i > $i > $i > $i,X16: $i > $i > $i > $i,X7: $i > $i > $i > $i,X4: $i > $i > $i > $i,X14: $i > $i > $i > $i,X9: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b25 != b25 )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b13 != b13 )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X7: $i > $i > $i > $i,X6: $i > $i > $i > $i,X14: $i > $i > $i > $i,X1: $i > $i > $i > $i,X4: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b13 != b13 )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b13 != b13 )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b25 != b25 )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b25 != b25 )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b25 != b25 )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b25 != b25 )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b13 != b13 )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b13 != b13 )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X19: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X9: $i > $i > $i > $i,X4: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a0
@ a2
@ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a2
@ a1
@ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a1
@ a2
@ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a0
@ a1
@ a2 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a0
@ a1
@ a2 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a2
@ a1
@ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a1
@ a0
@ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a1
@ a0
@ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ a0
@ a0
@ ( X6 @ a1 @ a0 @ a2 )
@ a2
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a1
@ a2
@ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a0
@ a2
@ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) ) ),
inference(equality_resolution,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X7: $i > $i > $i > $i,X6: $i > $i > $i > $i,X4: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X12: $i > $i > $i > $i,X5: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X6: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b5 != b5 )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b9 != b9 ) ),
inference(duplicate_literal_removal,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X7: $i > $i > $i > $i,X6: $i > $i > $i > $i,X4: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X12: $i > $i > $i > $i,X5: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b9 != b9 )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b5 != b5 )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b9 != b9 )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b9 != b9 )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b5 != b5 )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b5 != b5 )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X19: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X4: $i > $i > $i > $i,X1: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X22: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a1
@ a0
@ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a1
@ a0
@ a2 )
@ ( X22 @ a1 @ a0 @ a2 )
@ ( X21 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ a0
@ a0
@ ( X6 @ a1 @ a0 @ a2 )
@ a2
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a0
@ a2
@ a1 ) )
| ( b13
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a1
@ a2
@ a0 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a0
@ a2
@ a1 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a1
@ a2
@ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a2
@ a1
@ a0 ) )
| ( b24
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a2
@ a0
@ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a2
@ a0
@ a1 )
@ ( X22 @ a2 @ a0 @ a1 )
@ ( X21 @ a2 @ a0 @ a1 )
@ ( X20 @ a2 @ a0 @ a1 )
@ ( X19 @ a2 @ a0 @ a1 )
@ ( X18 @ a2 @ a0 @ a1 )
@ ( X17 @ a2 @ a0 @ a1 )
@ ( X16 @ a2 @ a0 @ a1 )
@ ( X15 @ a2 @ a0 @ a1 )
@ ( X14 @ a2 @ a0 @ a1 )
@ ( X13 @ a2 @ a0 @ a1 )
@ ( X12 @ a2 @ a0 @ a1 )
@ ( X11 @ a2 @ a0 @ a1 )
@ ( X10 @ a2 @ a0 @ a1 )
@ ( X9 @ a2 @ a0 @ a1 )
@ ( X8 @ a2 @ a0 @ a1 )
@ ( X7 @ a2 @ a0 @ a1 )
@ a0
@ a0
@ ( X6 @ a2 @ a0 @ a1 )
@ a2
@ ( X5 @ a2 @ a0 @ a1 )
@ ( X4 @ a2 @ a0 @ a1 )
@ ( X3 @ a2 @ a0 @ a1 )
@ ( X2 @ a2 @ a0 @ a1 )
@ ( X1 @ a2 @ a0 @ a1 )
@ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b16
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a2
@ a1
@ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) ) ),
inference(equality_resolution,[status(thm)],[f50]) ).
thf(f50,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ a1 @ a0 @ ( X6 @ a0 @ a1 @ a2 ) @ a2 @ ( X5 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f49]) ).
thf(f49,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b5
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b22 != b22 )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ a1 @ a0 @ ( X6 @ a0 @ a1 @ a2 ) @ a2 @ ( X5 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b12 != b12 )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ a1 @ a0 @ ( X6 @ a0 @ a1 @ a2 ) @ a2 @ ( X5 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X6 @ a1 @ a0 @ a2 ) @ a2 @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b22 != b22 )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b12 != b12 )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b22 != b22 )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X24 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X6 @ a2 @ a0 @ a1 ) @ a2 @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b12 != b12 )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a1
@ a0
@ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a1
@ a0
@ a2 )
@ ( X24 @ a1 @ a0 @ a2 )
@ ( X23 @ a1 @ a0 @ a2 )
@ ( X22 @ a1 @ a0 @ a2 )
@ ( X21 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ a0
@ a0
@ ( X6 @ a1 @ a0 @ a2 )
@ a2
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b5
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a0
@ a1
@ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a0
@ a1
@ a2 )
@ ( X24 @ a0 @ a1 @ a2 )
@ ( X23 @ a0 @ a1 @ a2 )
@ ( X22 @ a0 @ a1 @ a2 )
@ ( X21 @ a0 @ a1 @ a2 )
@ ( X20 @ a0 @ a1 @ a2 )
@ ( X19 @ a0 @ a1 @ a2 )
@ ( X18 @ a0 @ a1 @ a2 )
@ ( X17 @ a0 @ a1 @ a2 )
@ ( X16 @ a0 @ a1 @ a2 )
@ ( X15 @ a0 @ a1 @ a2 )
@ ( X14 @ a0 @ a1 @ a2 )
@ ( X13 @ a0 @ a1 @ a2 )
@ ( X12 @ a0 @ a1 @ a2 )
@ ( X11 @ a0 @ a1 @ a2 )
@ ( X10 @ a0 @ a1 @ a2 )
@ ( X9 @ a0 @ a1 @ a2 )
@ ( X8 @ a0 @ a1 @ a2 )
@ ( X7 @ a0 @ a1 @ a2 )
@ a1
@ a0
@ ( X6 @ a0 @ a1 @ a2 )
@ a2
@ ( X5 @ a0 @ a1 @ a2 )
@ ( X4 @ a0 @ a1 @ a2 )
@ ( X3 @ a0 @ a1 @ a2 )
@ ( X2 @ a0 @ a1 @ a2 )
@ ( X1 @ a0 @ a1 @ a2 )
@ ( X0 @ a0 @ a1 @ a2 ) ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b12
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a1
@ a2
@ a0 ) )
| ( b15
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a0
@ a2
@ a1 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a2
@ a0
@ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a2
@ a0
@ a1 )
@ ( X24 @ a2 @ a0 @ a1 )
@ ( X23 @ a2 @ a0 @ a1 )
@ ( X22 @ a2 @ a0 @ a1 )
@ ( X21 @ a2 @ a0 @ a1 )
@ ( X20 @ a2 @ a0 @ a1 )
@ ( X19 @ a2 @ a0 @ a1 )
@ ( X18 @ a2 @ a0 @ a1 )
@ ( X17 @ a2 @ a0 @ a1 )
@ ( X16 @ a2 @ a0 @ a1 )
@ ( X15 @ a2 @ a0 @ a1 )
@ ( X14 @ a2 @ a0 @ a1 )
@ ( X13 @ a2 @ a0 @ a1 )
@ ( X12 @ a2 @ a0 @ a1 )
@ ( X11 @ a2 @ a0 @ a1 )
@ ( X10 @ a2 @ a0 @ a1 )
@ ( X9 @ a2 @ a0 @ a1 )
@ ( X8 @ a2 @ a0 @ a1 )
@ ( X7 @ a2 @ a0 @ a1 )
@ a0
@ a0
@ ( X6 @ a2 @ a0 @ a1 )
@ a2
@ ( X5 @ a2 @ a0 @ a1 )
@ ( X4 @ a2 @ a0 @ a1 )
@ ( X3 @ a2 @ a0 @ a1 )
@ ( X2 @ a2 @ a0 @ a1 )
@ ( X1 @ a2 @ a0 @ a1 )
@ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b25
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b12
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a0
@ a2
@ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b22
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a1
@ a2
@ a0 ) )
| ( b4
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b14
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b23 )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X7 @ a1 @ a2 @ a0 ) ) ),
inference(equality_resolution,[status(thm)],[f46]) ).
thf(f46,plain,
! [X83: $i > $i > $i > $i,X90: $i > $i > $i > $i,X81: $i > $i > $i > $i,X88: $i > $i > $i > $i,X99: $i > $i > $i > $i,X106: $i > $i > $i > $i,X87: $i > $i > $i > $i,X94: $i > $i > $i > $i,X97: $i > $i > $i > $i,X104: $i > $i > $i > $i,X85: $i > $i > $i > $i,X92: $i > $i > $i > $i,X103: $i > $i > $i > $i,X82: $i > $i > $i > $i,X101: $i > $i > $i > $i,X91: $i > $i > $i > $i,X98: $i > $i > $i > $i,X86: $i > $i > $i > $i,X89: $i > $i > $i > $i,X96: $i > $i > $i > $i,X107: $i > $i > $i > $i,X84: $i > $i > $i > $i,X95: $i > $i > $i > $i,X102: $i > $i > $i > $i,X105: $i > $i > $i > $i,X93: $i > $i > $i > $i,X100: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a1 @ a0 ) @ ( X106 @ a2 @ a1 @ a0 ) @ ( X105 @ a2 @ a1 @ a0 ) @ ( X104 @ a2 @ a1 @ a0 ) @ ( X103 @ a2 @ a1 @ a0 ) @ ( X102 @ a2 @ a1 @ a0 ) @ ( X101 @ a2 @ a1 @ a0 ) @ ( X100 @ a2 @ a1 @ a0 ) @ ( X99 @ a2 @ a1 @ a0 ) @ ( X98 @ a2 @ a1 @ a0 ) @ ( X97 @ a2 @ a1 @ a0 ) @ ( X96 @ a2 @ a1 @ a0 ) @ ( X95 @ a2 @ a1 @ a0 ) @ ( X94 @ a2 @ a1 @ a0 ) @ ( X93 @ a2 @ a1 @ a0 ) @ ( X92 @ a2 @ a1 @ a0 ) @ ( X91 @ a2 @ a1 @ a0 ) @ ( X90 @ a2 @ a1 @ a0 ) @ ( X89 @ a2 @ a1 @ a0 ) @ ( X88 @ a2 @ a1 @ a0 ) @ a1 @ a0 @ ( X87 @ a2 @ a1 @ a0 ) @ a2 @ ( X86 @ a2 @ a1 @ a0 ) @ ( X85 @ a2 @ a1 @ a0 ) @ ( X84 @ a2 @ a1 @ a0 ) @ ( X83 @ a2 @ a1 @ a0 ) @ ( X82 @ a2 @ a1 @ a0 ) @ ( X81 @ a2 @ a1 @ a0 ) ) )
| ( b11
!= ( X87 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X103 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X97 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X101 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X98 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X84 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X81 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X106 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X94 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X104 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X94 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X96 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X89 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X88 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X96 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X87 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X98 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X93 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X82 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X106 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X99 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X105 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X86 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X92 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X91 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X90 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X93 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X90 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X83 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X85 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X91 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X103 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X89 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a1 @ a0 @ a2 ) @ ( X106 @ a1 @ a0 @ a2 ) @ ( X105 @ a1 @ a0 @ a2 ) @ ( X104 @ a1 @ a0 @ a2 ) @ ( X103 @ a1 @ a0 @ a2 ) @ ( X102 @ a1 @ a0 @ a2 ) @ ( X101 @ a1 @ a0 @ a2 ) @ ( X100 @ a1 @ a0 @ a2 ) @ ( X99 @ a1 @ a0 @ a2 ) @ ( X98 @ a1 @ a0 @ a2 ) @ ( X97 @ a1 @ a0 @ a2 ) @ ( X96 @ a1 @ a0 @ a2 ) @ ( X95 @ a1 @ a0 @ a2 ) @ ( X94 @ a1 @ a0 @ a2 ) @ ( X93 @ a1 @ a0 @ a2 ) @ ( X92 @ a1 @ a0 @ a2 ) @ ( X91 @ a1 @ a0 @ a2 ) @ ( X90 @ a1 @ a0 @ a2 ) @ ( X89 @ a1 @ a0 @ a2 ) @ ( X88 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X87 @ a1 @ a0 @ a2 ) @ a2 @ ( X86 @ a1 @ a0 @ a2 ) @ ( X85 @ a1 @ a0 @ a2 ) @ ( X84 @ a1 @ a0 @ a2 ) @ ( X83 @ a1 @ a0 @ a2 ) @ ( X82 @ a1 @ a0 @ a2 ) @ ( X81 @ a1 @ a0 @ a2 ) ) )
| ( b12
!= ( X107 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X83 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X86 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a0 @ a1 @ a2 ) @ ( X106 @ a0 @ a1 @ a2 ) @ ( X105 @ a0 @ a1 @ a2 ) @ ( X104 @ a0 @ a1 @ a2 ) @ ( X103 @ a0 @ a1 @ a2 ) @ ( X102 @ a0 @ a1 @ a2 ) @ ( X101 @ a0 @ a1 @ a2 ) @ ( X100 @ a0 @ a1 @ a2 ) @ ( X99 @ a0 @ a1 @ a2 ) @ ( X98 @ a0 @ a1 @ a2 ) @ ( X97 @ a0 @ a1 @ a2 ) @ ( X96 @ a0 @ a1 @ a2 ) @ ( X95 @ a0 @ a1 @ a2 ) @ ( X94 @ a0 @ a1 @ a2 ) @ ( X93 @ a0 @ a1 @ a2 ) @ ( X92 @ a0 @ a1 @ a2 ) @ ( X91 @ a0 @ a1 @ a2 ) @ ( X90 @ a0 @ a1 @ a2 ) @ ( X89 @ a0 @ a1 @ a2 ) @ ( X88 @ a0 @ a1 @ a2 ) @ a1 @ a0 @ ( X87 @ a0 @ a1 @ a2 ) @ a2 @ ( X86 @ a0 @ a1 @ a2 ) @ ( X85 @ a0 @ a1 @ a2 ) @ ( X84 @ a0 @ a1 @ a2 ) @ ( X83 @ a0 @ a1 @ a2 ) @ ( X82 @ a0 @ a1 @ a2 ) @ ( X81 @ a0 @ a1 @ a2 ) ) )
| ( b7
!= ( X95 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X104 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X102 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X99 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X100 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X100 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X85 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X92 @ a1 @ a2 @ a0 ) )
| ( b12
!= ( X107 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X101 @ a1 @ a2 @ a0 ) )
| ( b14
!= ( X82 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X95 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X105 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a0 @ a1 ) @ ( X106 @ a2 @ a0 @ a1 ) @ ( X105 @ a2 @ a0 @ a1 ) @ ( X104 @ a2 @ a0 @ a1 ) @ ( X103 @ a2 @ a0 @ a1 ) @ ( X102 @ a2 @ a0 @ a1 ) @ ( X101 @ a2 @ a0 @ a1 ) @ ( X100 @ a2 @ a0 @ a1 ) @ ( X99 @ a2 @ a0 @ a1 ) @ ( X98 @ a2 @ a0 @ a1 ) @ ( X97 @ a2 @ a0 @ a1 ) @ ( X96 @ a2 @ a0 @ a1 ) @ ( X95 @ a2 @ a0 @ a1 ) @ ( X94 @ a2 @ a0 @ a1 ) @ ( X93 @ a2 @ a0 @ a1 ) @ ( X92 @ a2 @ a0 @ a1 ) @ ( X91 @ a2 @ a0 @ a1 ) @ ( X90 @ a2 @ a0 @ a1 ) @ ( X89 @ a2 @ a0 @ a1 ) @ ( X88 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X87 @ a2 @ a0 @ a1 ) @ a2 @ ( X86 @ a2 @ a0 @ a1 ) @ ( X85 @ a2 @ a0 @ a1 ) @ ( X84 @ a2 @ a0 @ a1 ) @ ( X83 @ a2 @ a0 @ a1 ) @ ( X82 @ a2 @ a0 @ a1 ) @ ( X81 @ a2 @ a0 @ a1 ) ) )
| ( b2
!= ( X97 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X81 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X84 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X88 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X102 @ a1 @ a2 @ a0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f45]) ).
thf(f45,plain,
! [X83: $i > $i > $i > $i,X90: $i > $i > $i > $i,X81: $i > $i > $i > $i,X88: $i > $i > $i > $i,X99: $i > $i > $i > $i,X106: $i > $i > $i > $i,X87: $i > $i > $i > $i,X94: $i > $i > $i > $i,X97: $i > $i > $i > $i,X104: $i > $i > $i > $i,X85: $i > $i > $i > $i,X92: $i > $i > $i > $i,X103: $i > $i > $i > $i,X82: $i > $i > $i > $i,X101: $i > $i > $i > $i,X91: $i > $i > $i > $i,X98: $i > $i > $i > $i,X86: $i > $i > $i > $i,X89: $i > $i > $i > $i,X96: $i > $i > $i > $i,X107: $i > $i > $i > $i,X84: $i > $i > $i > $i,X95: $i > $i > $i > $i,X102: $i > $i > $i > $i,X105: $i > $i > $i > $i,X93: $i > $i > $i > $i,X100: $i > $i > $i > $i] :
( ( b26
!= ( X84 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X85 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X100 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X90 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a0 @ a1 ) @ ( X106 @ a2 @ a0 @ a1 ) @ ( X105 @ a2 @ a0 @ a1 ) @ ( X104 @ a2 @ a0 @ a1 ) @ ( X103 @ a2 @ a0 @ a1 ) @ ( X102 @ a2 @ a0 @ a1 ) @ ( X101 @ a2 @ a0 @ a1 ) @ ( X100 @ a2 @ a0 @ a1 ) @ ( X99 @ a2 @ a0 @ a1 ) @ ( X98 @ a2 @ a0 @ a1 ) @ ( X97 @ a2 @ a0 @ a1 ) @ ( X96 @ a2 @ a0 @ a1 ) @ ( X95 @ a2 @ a0 @ a1 ) @ ( X94 @ a2 @ a0 @ a1 ) @ ( X93 @ a2 @ a0 @ a1 ) @ ( X92 @ a2 @ a0 @ a1 ) @ ( X91 @ a2 @ a0 @ a1 ) @ ( X90 @ a2 @ a0 @ a1 ) @ ( X89 @ a2 @ a0 @ a1 ) @ ( X88 @ a2 @ a0 @ a1 ) @ a0 @ a0 @ ( X87 @ a2 @ a0 @ a1 ) @ a2 @ ( X86 @ a2 @ a0 @ a1 ) @ ( X85 @ a2 @ a0 @ a1 ) @ ( X84 @ a2 @ a0 @ a1 ) @ ( X83 @ a2 @ a0 @ a1 ) @ ( X82 @ a2 @ a0 @ a1 ) @ ( X81 @ a2 @ a0 @ a1 ) ) )
| ( b19
!= ( X99 @ a1 @ a2 @ a0 ) )
| ( b12
!= ( X107 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X94 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a1 @ a0 @ a2 ) @ ( X106 @ a1 @ a0 @ a2 ) @ ( X105 @ a1 @ a0 @ a2 ) @ ( X104 @ a1 @ a0 @ a2 ) @ ( X103 @ a1 @ a0 @ a2 ) @ ( X102 @ a1 @ a0 @ a2 ) @ ( X101 @ a1 @ a0 @ a2 ) @ ( X100 @ a1 @ a0 @ a2 ) @ ( X99 @ a1 @ a0 @ a2 ) @ ( X98 @ a1 @ a0 @ a2 ) @ ( X97 @ a1 @ a0 @ a2 ) @ ( X96 @ a1 @ a0 @ a2 ) @ ( X95 @ a1 @ a0 @ a2 ) @ ( X94 @ a1 @ a0 @ a2 ) @ ( X93 @ a1 @ a0 @ a2 ) @ ( X92 @ a1 @ a0 @ a2 ) @ ( X91 @ a1 @ a0 @ a2 ) @ ( X90 @ a1 @ a0 @ a2 ) @ ( X89 @ a1 @ a0 @ a2 ) @ ( X88 @ a1 @ a0 @ a2 ) @ a0 @ a0 @ ( X87 @ a1 @ a0 @ a2 ) @ a2 @ ( X86 @ a1 @ a0 @ a2 ) @ ( X85 @ a1 @ a0 @ a2 ) @ ( X84 @ a1 @ a0 @ a2 ) @ ( X83 @ a1 @ a0 @ a2 ) @ ( X82 @ a1 @ a0 @ a2 ) @ ( X81 @ a1 @ a0 @ a2 ) ) )
| ( b20
!= ( X89 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X91 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X103 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X86 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X86 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X82 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X97 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X87 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X102 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X104 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X81 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X106 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X101 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X94 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X101 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X87 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X104 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X91 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X102 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X83 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X93 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X95 @ a0 @ a2 @ a1 ) )
| ( a2 != a2 )
| ( b18
!= ( X85 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X107 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X83 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X96 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X98 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X99 @ a0 @ a2 @ a1 ) )
| ( a0 != a0 )
| ( b22
!= ( X106 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X93 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X95 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X97 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X105 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X100 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X82 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X88 @ a1 @ a2 @ a0 ) )
| ( b23
!= ( X81 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X103 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X98 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X89 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a0 @ a1 @ a2 ) @ ( X106 @ a0 @ a1 @ a2 ) @ ( X105 @ a0 @ a1 @ a2 ) @ ( X104 @ a0 @ a1 @ a2 ) @ ( X103 @ a0 @ a1 @ a2 ) @ ( X102 @ a0 @ a1 @ a2 ) @ ( X101 @ a0 @ a1 @ a2 ) @ ( X100 @ a0 @ a1 @ a2 ) @ ( X99 @ a0 @ a1 @ a2 ) @ ( X98 @ a0 @ a1 @ a2 ) @ ( X97 @ a0 @ a1 @ a2 ) @ ( X96 @ a0 @ a1 @ a2 ) @ ( X95 @ a0 @ a1 @ a2 ) @ ( X94 @ a0 @ a1 @ a2 ) @ ( X93 @ a0 @ a1 @ a2 ) @ ( X92 @ a0 @ a1 @ a2 ) @ ( X91 @ a0 @ a1 @ a2 ) @ ( X90 @ a0 @ a1 @ a2 ) @ ( X89 @ a0 @ a1 @ a2 ) @ ( X88 @ a0 @ a1 @ a2 ) @ a1 @ a0 @ ( X87 @ a0 @ a1 @ a2 ) @ a2 @ ( X86 @ a0 @ a1 @ a2 ) @ ( X85 @ a0 @ a1 @ a2 ) @ ( X84 @ a0 @ a1 @ a2 ) @ ( X83 @ a0 @ a1 @ a2 ) @ ( X82 @ a0 @ a1 @ a2 ) @ ( X81 @ a0 @ a1 @ a2 ) ) )
| ( b26
!= ( X84 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X90 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a1 @ a0 ) @ ( X106 @ a2 @ a1 @ a0 ) @ ( X105 @ a2 @ a1 @ a0 ) @ ( X104 @ a2 @ a1 @ a0 ) @ ( X103 @ a2 @ a1 @ a0 ) @ ( X102 @ a2 @ a1 @ a0 ) @ ( X101 @ a2 @ a1 @ a0 ) @ ( X100 @ a2 @ a1 @ a0 ) @ ( X99 @ a2 @ a1 @ a0 ) @ ( X98 @ a2 @ a1 @ a0 ) @ ( X97 @ a2 @ a1 @ a0 ) @ ( X96 @ a2 @ a1 @ a0 ) @ ( X95 @ a2 @ a1 @ a0 ) @ ( X94 @ a2 @ a1 @ a0 ) @ ( X93 @ a2 @ a1 @ a0 ) @ ( X92 @ a2 @ a1 @ a0 ) @ ( X91 @ a2 @ a1 @ a0 ) @ ( X90 @ a2 @ a1 @ a0 ) @ ( X89 @ a2 @ a1 @ a0 ) @ ( X88 @ a2 @ a1 @ a0 ) @ a1 @ a0 @ ( X87 @ a2 @ a1 @ a0 ) @ a2 @ ( X86 @ a2 @ a1 @ a0 ) @ ( X85 @ a2 @ a1 @ a0 ) @ ( X84 @ a2 @ a1 @ a0 ) @ ( X83 @ a2 @ a1 @ a0 ) @ ( X82 @ a2 @ a1 @ a0 ) @ ( X81 @ a2 @ a1 @ a0 ) ) )
| ( b3
!= ( X92 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X88 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X96 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X92 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X105 @ a1 @ a2 @ a0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f38]) ).
thf(f38,plain,
! [X83: $i > $i > $i > $i,X90: $i > $i > $i > $i,X81: $i > $i > $i > $i,X88: $i > $i > $i > $i,X99: $i > $i > $i > $i,X106: $i > $i > $i > $i,X87: $i > $i > $i > $i,X94: $i > $i > $i > $i,X97: $i > $i > $i > $i,X104: $i > $i > $i > $i,X85: $i > $i > $i > $i,X92: $i > $i > $i > $i,X103: $i > $i > $i > $i,X82: $i > $i > $i > $i,X101: $i > $i > $i > $i,X91: $i > $i > $i > $i,X98: $i > $i > $i > $i,X86: $i > $i > $i > $i,X89: $i > $i > $i > $i,X96: $i > $i > $i > $i,X107: $i > $i > $i > $i,X84: $i > $i > $i > $i,X95: $i > $i > $i > $i,X102: $i > $i > $i > $i,X105: $i > $i > $i > $i,X93: $i > $i > $i > $i,X100: $i > $i > $i > $i] :
( ( b15
!= ( X96 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X101 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X106 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X93 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a0 @ a1 ) @ ( X106 @ a2 @ a0 @ a1 ) @ ( X105 @ a2 @ a0 @ a1 ) @ ( X104 @ a2 @ a0 @ a1 ) @ ( X103 @ a2 @ a0 @ a1 ) @ ( X102 @ a2 @ a0 @ a1 ) @ ( X101 @ a2 @ a0 @ a1 ) @ ( X100 @ a2 @ a0 @ a1 ) @ ( X99 @ a2 @ a0 @ a1 ) @ ( X98 @ a2 @ a0 @ a1 ) @ ( X97 @ a2 @ a0 @ a1 ) @ ( X96 @ a2 @ a0 @ a1 ) @ ( X95 @ a2 @ a0 @ a1 ) @ ( X94 @ a2 @ a0 @ a1 ) @ ( X93 @ a2 @ a0 @ a1 ) @ ( X92 @ a2 @ a0 @ a1 ) @ ( X91 @ a2 @ a0 @ a1 ) @ ( X90 @ a2 @ a0 @ a1 ) @ ( X89 @ a2 @ a0 @ a1 ) @ ( X88 @ a2 @ a0 @ a1 ) @ a0
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a2
@ a0
@ a1 )
@ ( X87 @ a2 @ a0 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a2
@ a0
@ a1 )
@ ( X86 @ a2 @ a0 @ a1 )
@ ( X85 @ a2 @ a0 @ a1 )
@ ( X84 @ a2 @ a0 @ a1 )
@ ( X83 @ a2 @ a0 @ a1 )
@ ( X82 @ a2 @ a0 @ a1 )
@ ( X81 @ a2 @ a0 @ a1 ) ) )
| ( b0
!= ( X101 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X98 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X87 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X102 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X99 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a0
@ a2
@ a1 ) )
| ( b5
!= ( X105 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X95 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X84 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X81 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X100 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X97 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X90 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X96 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X92 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X104 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X94 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X83 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X98 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X86 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X83 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X88 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X102 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X82 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X81 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X106 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X97 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X103 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X95 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X103 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X104 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X84 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a0
@ a2
@ a1 ) )
| ( b19
!= ( X99 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X91 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X85 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X105 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X87 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X82 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X89 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X86 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X90 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X88 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X92 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X93 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a1 @ a0 @ a2 ) @ ( X106 @ a1 @ a0 @ a2 ) @ ( X105 @ a1 @ a0 @ a2 ) @ ( X104 @ a1 @ a0 @ a2 ) @ ( X103 @ a1 @ a0 @ a2 ) @ ( X102 @ a1 @ a0 @ a2 ) @ ( X101 @ a1 @ a0 @ a2 ) @ ( X100 @ a1 @ a0 @ a2 ) @ ( X99 @ a1 @ a0 @ a2 ) @ ( X98 @ a1 @ a0 @ a2 ) @ ( X97 @ a1 @ a0 @ a2 ) @ ( X96 @ a1 @ a0 @ a2 ) @ ( X95 @ a1 @ a0 @ a2 ) @ ( X94 @ a1 @ a0 @ a2 ) @ ( X93 @ a1 @ a0 @ a2 ) @ ( X92 @ a1 @ a0 @ a2 ) @ ( X91 @ a1 @ a0 @ a2 ) @ ( X90 @ a1 @ a0 @ a2 ) @ ( X89 @ a1 @ a0 @ a2 ) @ ( X88 @ a1 @ a0 @ a2 ) @ a0
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a1
@ a0
@ a2 )
@ ( X87 @ a1 @ a0 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a1
@ a0
@ a2 )
@ ( X86 @ a1 @ a0 @ a2 )
@ ( X85 @ a1 @ a0 @ a2 )
@ ( X84 @ a1 @ a0 @ a2 )
@ ( X83 @ a1 @ a0 @ a2 )
@ ( X82 @ a1 @ a0 @ a2 )
@ ( X81 @ a1 @ a0 @ a2 ) ) )
| ( b12
!= ( X107 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X89 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X100 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X91 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X94 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X107 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a0 @ a1 @ a2 ) @ ( X106 @ a0 @ a1 @ a2 ) @ ( X105 @ a0 @ a1 @ a2 ) @ ( X104 @ a0 @ a1 @ a2 ) @ ( X103 @ a0 @ a1 @ a2 ) @ ( X102 @ a0 @ a1 @ a2 ) @ ( X101 @ a0 @ a1 @ a2 ) @ ( X100 @ a0 @ a1 @ a2 ) @ ( X99 @ a0 @ a1 @ a2 ) @ ( X98 @ a0 @ a1 @ a2 ) @ ( X97 @ a0 @ a1 @ a2 ) @ ( X96 @ a0 @ a1 @ a2 ) @ ( X95 @ a0 @ a1 @ a2 ) @ ( X94 @ a0 @ a1 @ a2 ) @ ( X93 @ a0 @ a1 @ a2 ) @ ( X92 @ a0 @ a1 @ a2 ) @ ( X91 @ a0 @ a1 @ a2 ) @ ( X90 @ a0 @ a1 @ a2 ) @ ( X89 @ a0 @ a1 @ a2 ) @ ( X88 @ a0 @ a1 @ a2 ) @ a1
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a0
@ a1
@ a2 )
@ ( X87 @ a0 @ a1 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a0
@ a1
@ a2 )
@ ( X86 @ a0 @ a1 @ a2 )
@ ( X85 @ a0 @ a1 @ a2 )
@ ( X84 @ a0 @ a1 @ a2 )
@ ( X83 @ a0 @ a1 @ a2 )
@ ( X82 @ a0 @ a1 @ a2 )
@ ( X81 @ a0 @ a1 @ a2 ) ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X107 @ a2 @ a1 @ a0 ) @ ( X106 @ a2 @ a1 @ a0 ) @ ( X105 @ a2 @ a1 @ a0 ) @ ( X104 @ a2 @ a1 @ a0 ) @ ( X103 @ a2 @ a1 @ a0 ) @ ( X102 @ a2 @ a1 @ a0 ) @ ( X101 @ a2 @ a1 @ a0 ) @ ( X100 @ a2 @ a1 @ a0 ) @ ( X99 @ a2 @ a1 @ a0 ) @ ( X98 @ a2 @ a1 @ a0 ) @ ( X97 @ a2 @ a1 @ a0 ) @ ( X96 @ a2 @ a1 @ a0 ) @ ( X95 @ a2 @ a1 @ a0 ) @ ( X94 @ a2 @ a1 @ a0 ) @ ( X93 @ a2 @ a1 @ a0 ) @ ( X92 @ a2 @ a1 @ a0 ) @ ( X91 @ a2 @ a1 @ a0 ) @ ( X90 @ a2 @ a1 @ a0 ) @ ( X89 @ a2 @ a1 @ a0 ) @ ( X88 @ a2 @ a1 @ a0 ) @ a1
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a2
@ a1
@ a0 )
@ ( X87 @ a2 @ a1 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a2
@ a1
@ a0 )
@ ( X86 @ a2 @ a1 @ a0 )
@ ( X85 @ a2 @ a1 @ a0 )
@ ( X84 @ a2 @ a1 @ a0 )
@ ( X83 @ a2 @ a1 @ a0 )
@ ( X82 @ a2 @ a1 @ a0 )
@ ( X81 @ a2 @ a1 @ a0 ) ) )
| ( b18
!= ( X85 @ a1 @ a2 @ a0 ) ) ),
inference(equality_resolution,[status(thm)],[f10]) ).
thf(f10,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X26 @ a1 @ a2 @ a0 ) @ ( X25 @ a1 @ a2 @ a0 ) @ ( X24 @ a1 @ a2 @ a0 ) @ ( X23 @ a1 @ a2 @ a0 ) @ ( X22 @ a1 @ a2 @ a0 ) @ ( X21 @ a1 @ a2 @ a0 ) @ ( X20 @ a1 @ a2 @ a0 ) @ ( X19 @ a1 @ a2 @ a0 ) @ ( X18 @ a1 @ a2 @ a0 ) @ ( X17 @ a1 @ a2 @ a0 ) @ ( X16 @ a1 @ a2 @ a0 ) @ ( X15 @ a1 @ a2 @ a0 ) @ ( X14 @ a1 @ a2 @ a0 ) @ ( X13 @ a1 @ a2 @ a0 ) @ ( X12 @ a1 @ a2 @ a0 ) @ ( X11 @ a1 @ a2 @ a0 ) @ ( X10 @ a1 @ a2 @ a0 ) @ ( X9 @ a1 @ a2 @ a0 ) @ ( X8 @ a1 @ a2 @ a0 ) @ ( X7 @ a1 @ a2 @ a0 ) @ a2 @ ( X27 @ a1 @ a2 @ a0 ) @ ( X6 @ a1 @ a2 @ a0 ) @ ( X28 @ a1 @ a2 @ a0 ) @ ( X5 @ a1 @ a2 @ a0 ) @ ( X4 @ a1 @ a2 @ a0 ) @ ( X3 @ a1 @ a2 @ a0 ) @ ( X2 @ a1 @ a2 @ a0 ) @ ( X1 @ a1 @ a2 @ a0 ) @ ( X0 @ a1 @ a2 @ a0 ) ) )
| ( b22
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X27 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X26 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ a0 @ ( X27 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X28 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X26 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ a1 @ ( X27 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X28 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X26 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ a0 @ ( X27 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X28 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X26 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ a1 @ ( X27 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X28 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X3 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ ( X0 @ a2 @ a1 @ a0 ) ) )
| ( a2
!= ( X28 @ a0 @ a2 @ a1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f7]) ).
thf(f7,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( b24
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X27 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : Y4
@ Y0
@ Y1
@ Y2 )
@ ( X27 @ Y0 @ Y1 @ Y2 )
@ ( X6 @ Y0 @ Y1 @ Y2 )
@ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( X5 @ Y0 @ Y1 @ Y2 )
@ ( X4 @ Y0 @ Y1 @ Y2 )
@ ( X3 @ Y0 @ Y1 @ Y2 )
@ ( X2 @ Y0 @ Y1 @ Y2 )
@ ( X1 @ Y0 @ Y1 @ Y2 )
@ ( X0 @ Y0 @ Y1 @ Y2 ) )
@ a0
@ a1
@ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : Y4
@ Y0
@ Y1
@ Y2 )
@ ( X27 @ Y0 @ Y1 @ Y2 )
@ ( X6 @ Y0 @ Y1 @ Y2 )
@ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( X5 @ Y0 @ Y1 @ Y2 )
@ ( X4 @ Y0 @ Y1 @ Y2 )
@ ( X3 @ Y0 @ Y1 @ Y2 )
@ ( X2 @ Y0 @ Y1 @ Y2 )
@ ( X1 @ Y0 @ Y1 @ Y2 )
@ ( X0 @ Y0 @ Y1 @ Y2 ) )
@ a2
@ a0
@ a1 ) )
| ( b1
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X28 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : Y4
@ Y0
@ Y1
@ Y2 )
@ ( X27 @ Y0 @ Y1 @ Y2 )
@ ( X6 @ Y0 @ Y1 @ Y2 )
@ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( X5 @ Y0 @ Y1 @ Y2 )
@ ( X4 @ Y0 @ Y1 @ Y2 )
@ ( X3 @ Y0 @ Y1 @ Y2 )
@ ( X2 @ Y0 @ Y1 @ Y2 )
@ ( X1 @ Y0 @ Y1 @ Y2 )
@ ( X0 @ Y0 @ Y1 @ Y2 ) )
@ a2
@ a1
@ a0 ) )
| ( b23
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : Y4
@ Y0
@ Y1
@ Y2 )
@ ( X27 @ Y0 @ Y1 @ Y2 )
@ ( X6 @ Y0 @ Y1 @ Y2 )
@ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( X5 @ Y0 @ Y1 @ Y2 )
@ ( X4 @ Y0 @ Y1 @ Y2 )
@ ( X3 @ Y0 @ Y1 @ Y2 )
@ ( X2 @ Y0 @ Y1 @ Y2 )
@ ( X1 @ Y0 @ Y1 @ Y2 )
@ ( X0 @ Y0 @ Y1 @ Y2 ) )
@ a1
@ a0
@ a2 ) )
| ( b16
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : Y4
@ Y0
@ Y1
@ Y2 )
@ ( X27 @ Y0 @ Y1 @ Y2 )
@ ( X6 @ Y0 @ Y1 @ Y2 )
@ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( X5 @ Y0 @ Y1 @ Y2 )
@ ( X4 @ Y0 @ Y1 @ Y2 )
@ ( X3 @ Y0 @ Y1 @ Y2 )
@ ( X2 @ Y0 @ Y1 @ Y2 )
@ ( X1 @ Y0 @ Y1 @ Y2 )
@ ( X0 @ Y0 @ Y1 @ Y2 ) )
@ a1
@ a2
@ a0 ) )
| ( b11
!= ( X6 @ a0 @ a2 @ a1 ) ) ),
inference(equality_resolution,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f5]) ).
thf(f5,plain,
! [X0: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
! [X0: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
inference(ennf_transformation,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a2 @ a0 @ a1 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a2 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
= ( X0 @ a0 @ a1 @ a2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nYhH5IPE12/DTF2THF_22309.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO885^1.330.100 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Feb 24 14:51:21 EST 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : SYO885^1.330.100 : TPTP v9.2.1. Released v7.5.0.
% 0.29/0.45 % Domain : Syntactic
% 0.29/0.45 % Problem : Test higher-order unification procedure, 10,30,100
% 0.29/0.45 % Version : Biased.
% 0.29/0.45 % English :
% 0.29/0.45
% 0.29/0.45 % Refs : [VBN20] Vukmirovic et al. (2020), Efficient Full Higher-order
% 0.29/0.45 % : [Ben21] Bentkamp (2021) Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Ben21]
% 0.29/0.45 % Names : solid.3.30.100.p [Ben21]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.92 v8.1.0, 0.91 v7.5.0
% 0.29/0.45 % Syntax : Number of formulae : 32 ( 0 unt; 31 typ; 0 def)
% 0.29/0.45 % Number of atoms : 100 ( 100 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 100 ( 100 avg)
% 0.29/0.45 % Number of connectives : 3399 ( 0 ~; 0 |; 99 &;3300 @)
% 0.29/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 101 ( 101 avg)
% 0.29/0.45 % Number of types : 1 ( 0 usr)
% 0.29/0.45 % Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 32 ( 31 usr; 30 con; 0-30 aty)
% 0.29/0.45 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.29/0.45 % SPC : TH0_THM_EQU_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : Possible solution: F -> ^[X0 : $i,X1 : $i,X2 : $i]: f @ b12 @
% 0.29/0.45 % b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @
% 0.29/0.45 % b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ X1 @ a0 @ b11 @ a2 @ b8 @
% 0.29/0.45 % b18 @ b26 @ b24 @ b14 @ b23
% 0.29/0.45 % : Biased because it was desiged for testing features in
% 0.29/0.45 % Zipperposition.
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 thf(a0_type,type,
% 0.29/0.45 a0: $i ).
% 0.29/0.45
% 0.29/0.45 thf(a1_type,type,
% 0.29/0.45 a1: $i ).
% 0.29/0.45
% 0.29/0.45 thf(a2_type,type,
% 0.29/0.45 a2: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b12_type,type,
% 0.29/0.45 b12: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b22_type,type,
% 0.29/0.45 b22: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b5_type,type,
% 0.29/0.45 b5: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b9_type,type,
% 0.29/0.45 b9: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b13_type,type,
% 0.29/0.45 b13: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b25_type,type,
% 0.29/0.45 b25: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b0_type,type,
% 0.29/0.45 b0: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b16_type,type,
% 0.29/0.45 b16: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b19_type,type,
% 0.29/0.45 b19: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b1_type,type,
% 0.29/0.45 b1: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b2_type,type,
% 0.29/0.45 b2: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b15_type,type,
% 0.29/0.45 b15: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b7_type,type,
% 0.29/0.45 b7: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b21_type,type,
% 0.29/0.45 b21: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b10_type,type,
% 0.29/0.45 b10: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b3_type,type,
% 0.29/0.45 b3: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b6_type,type,
% 0.29/0.45 b6: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b4_type,type,
% 0.29/0.45 b4: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b20_type,type,
% 0.29/0.45 b20: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b17_type,type,
% 0.29/0.45 b17: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b11_type,type,
% 0.29/0.45 b11: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b8_type,type,
% 0.29/0.45 b8: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b18_type,type,
% 0.29/0.45 b18: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b26_type,type,
% 0.29/0.45 b26: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b24_type,type,
% 0.29/0.45 b24: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b14_type,type,
% 0.29/0.45 b14: $i ).
% 0.29/0.45
% 0.29/0.45 thf(b23_type,type,
% 0.29/0.45 b23: $i ).
% 0.29/0.45
% 0.29/0.45 thf(f_type,type,
% 0.29/0.45 f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
% 0.29/0.45
% 0.29/0.45 thf(goal,conjecture,
% 0.29/0.45 ? [F: $i > $i > $i > $i] :
% 0.29/0.45 ( ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a1 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a0 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a2 @ a0 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a1 @ a2 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a0 @ a2 @ a1 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 0.29/0.45 & ( ( F @ a1 @ a2 @ a0 )
% 0.29/0.45 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 2.00/1.34 ---- Embedded in THF ---
% 2.00/1.34 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.00/1.34 %%% Generated on Tue Feb 24 14:51:22 EST 2026
% 2.00/1.34 %%% using '$$dhol' embedding, version 1.3.0.
% 2.00/1.34 %%% Logic specification used:
% 2.00/1.34 %%% thf(spec, logic, $$dhol).
% 2.00/1.34
% 2.00/1.34 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.nYhH5IPE12/DTF2DTF22309.p
% See solution above
% 2.00/1.34 ------------------------
% 2.00/1.37 ---- Cleaned THF ---
% 2.00/1.37 thf(a0_type,type,
% 2.00/1.37 a0: $i ).
% 2.00/1.37
% 2.00/1.37 thf(a1_type,type,
% 2.00/1.37 a1: $i ).
% 2.00/1.37
% 2.00/1.37 thf(a2_type,type,
% 2.00/1.37 a2: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b12_type,type,
% 2.00/1.37 b12: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b22_type,type,
% 2.00/1.37 b22: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b5_type,type,
% 2.00/1.37 b5: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b9_type,type,
% 2.00/1.37 b9: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b13_type,type,
% 2.00/1.37 b13: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b25_type,type,
% 2.00/1.37 b25: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b0_type,type,
% 2.00/1.37 b0: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b16_type,type,
% 2.00/1.37 b16: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b19_type,type,
% 2.00/1.37 b19: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b1_type,type,
% 2.00/1.37 b1: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b2_type,type,
% 2.00/1.37 b2: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b15_type,type,
% 2.00/1.37 b15: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b7_type,type,
% 2.00/1.37 b7: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b21_type,type,
% 2.00/1.37 b21: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b10_type,type,
% 2.00/1.37 b10: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b3_type,type,
% 2.00/1.37 b3: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b6_type,type,
% 2.00/1.37 b6: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b4_type,type,
% 2.00/1.37 b4: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b20_type,type,
% 2.00/1.37 b20: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b17_type,type,
% 2.00/1.37 b17: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b11_type,type,
% 2.00/1.37 b11: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b8_type,type,
% 2.00/1.37 b8: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b18_type,type,
% 2.00/1.37 b18: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b26_type,type,
% 2.00/1.37 b26: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b24_type,type,
% 2.00/1.37 b24: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b14_type,type,
% 2.00/1.37 b14: $i ).
% 2.00/1.37
% 2.00/1.37 thf(b23_type,type,
% 2.00/1.37 b23: $i ).
% 2.00/1.37
% 2.00/1.37 thf(f_type,type,
% 2.00/1.37 f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
% 2.00/1.37
% 2.00/1.37 thf(goal,conjecture,
% 2.00/1.37 ? [F: $i > $i > $i > $i] :
% 2.00/1.37 ( ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a1 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a0 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a2 @ a0 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a1 @ a2 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a0 @ a2 @ a1 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
% 2.00/1.37 & ( ( F @ a1 @ a2 @ a0 )
% 2.00/1.37 = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ) ).
% 2.00/1.37 ------------------------
% 2.14/1.40 % (22429)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/2Mi)
% 2.14/1.40 % (22427)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/27Mi)
% 2.14/1.40 % (22429)Instruction limit reached!
% 2.14/1.40 % (22429)------------------------------
% 2.14/1.40 % (22429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.40 % (22429)Termination reason: Unknown
% 2.14/1.40 % (22429)Termination phase: shuffling
% 2.14/1.40
% 2.14/1.40 % (22429)Memory used [KB]: 1023
% 2.14/1.40 % (22429)Time elapsed: 0.002 s
% 2.14/1.40 % (22429)Instructions burned: 4 (million)
% 2.14/1.40 % (22429)------------------------------
% 2.14/1.40 % (22429)------------------------------
% 2.14/1.41 % (22427)Instruction limit reached!
% 2.14/1.41 % (22427)------------------------------
% 2.14/1.41 % (22427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.41 % (22427)Termination reason: Unknown
% 2.14/1.41 % (22427)Termination phase: Property scanning
% 2.14/1.41
% 2.14/1.41 % (22427)Memory used [KB]: 1023
% 2.14/1.41 % (22427)Time elapsed: 0.008 s
% 2.14/1.41 % (22427)Instructions burned: 27 (million)
% 2.14/1.41 % (22425)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/183Mi)
% 2.14/1.41 % (22427)------------------------------
% 2.14/1.41 % (22427)------------------------------
% 2.14/1.41 % (22426)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/4Mi)
% 2.14/1.41 % (22428)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/2Mi)
% 2.14/1.41 % (22430)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/275Mi)
% 2.14/1.41 % (22431)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/18Mi)
% 2.14/1.41 % (22428)Instruction limit reached!
% 2.14/1.41 % (22428)------------------------------
% 2.14/1.41 % (22428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.41 % (22428)Termination reason: Unknown
% 2.14/1.41 % (22428)Termination phase: shuffling
% 2.14/1.41
% 2.14/1.41 % (22428)Memory used [KB]: 1023
% 2.14/1.41 % (22428)Time elapsed: 0.003 s
% 2.14/1.41 % (22428)Instructions burned: 2 (million)
% 2.14/1.41 % (22428)------------------------------
% 2.14/1.41 % (22428)------------------------------
% 2.14/1.41 % (22432)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/3Mi)
% 2.14/1.41 % (22426)Instruction limit reached!
% 2.14/1.41 % (22426)------------------------------
% 2.14/1.41 % (22426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.41 % (22426)Termination reason: Unknown
% 2.14/1.41 % (22426)Termination phase: Property scanning
% 2.14/1.41
% 2.14/1.41 % (22426)Memory used [KB]: 1023
% 2.14/1.41 % (22426)Time elapsed: 0.005 s
% 2.14/1.41 % (22426)Instructions burned: 4 (million)
% 2.14/1.41 % (22426)------------------------------
% 2.14/1.41 % (22426)------------------------------
% 2.14/1.41 % (22432)Instruction limit reached!
% 2.14/1.41 % (22432)------------------------------
% 2.14/1.41 % (22432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.41 % (22432)Termination reason: Unknown
% 2.14/1.41 % (22432)Termination phase: shuffling
% 2.14/1.41
% 2.14/1.41 % (22432)Memory used [KB]: 1023
% 2.14/1.41 % (22432)Time elapsed: 0.002 s
% 2.14/1.41 % (22432)Instructions burned: 6 (million)
% 2.14/1.41 % (22432)------------------------------
% 2.14/1.41 % (22432)------------------------------
% 2.14/1.42 % (22431)Instruction limit reached!
% 2.14/1.42 % (22431)------------------------------
% 2.14/1.42 % (22431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.42 % (22431)Termination reason: Unknown
% 2.14/1.42 % (22431)Termination phase: Property scanning
% 2.14/1.42
% 2.14/1.42 % (22431)Memory used [KB]: 1023
% 2.14/1.42 % (22431)Time elapsed: 0.011 s
% 2.14/1.42 % (22431)Instructions burned: 18 (million)
% 2.14/1.42 % (22431)------------------------------
% 2.14/1.42 % (22431)------------------------------
% 2.14/1.42 % (22433)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/37Mi)
% 2.14/1.42 % (22436)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/1041Mi)
% 2.14/1.43 % (22434)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/15Mi)
% 2.14/1.43 % (22433)Instruction limit reached!
% 2.14/1.43 % (22433)------------------------------
% 2.14/1.43 % (22433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.43 % (22433)Termination reason: Unknown
% 2.14/1.43 % (22433)Termination phase: Property scanning
% 2.14/1.43
% 2.14/1.43 % (22433)Memory used [KB]: 1023
% 2.14/1.43 % (22433)Time elapsed: 0.011 s
% 2.14/1.43 % (22433)Instructions burned: 40 (million)
% 2.14/1.43 % (22433)------------------------------
% 2.14/1.43 % (22433)------------------------------
% 2.14/1.43 % (22435)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/3Mi)
% 2.14/1.43 % (22435)Instruction limit reached!
% 2.14/1.43 % (22435)------------------------------
% 2.14/1.43 % (22435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.43 % (22435)Termination reason: Unknown
% 2.14/1.43 % (22435)Termination phase: shuffling
% 2.14/1.43
% 2.14/1.43 % (22435)Memory used [KB]: 1023
% 2.14/1.43 % (22435)Time elapsed: 0.003 s
% 2.14/1.43 % (22435)Instructions burned: 3 (million)
% 2.14/1.43 % (22435)------------------------------
% 2.14/1.43 % (22435)------------------------------
% 2.14/1.44 % (22434)Instruction limit reached!
% 2.14/1.44 % (22434)------------------------------
% 2.14/1.44 % (22434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.44 % (22434)Termination reason: Unknown
% 2.14/1.44 % (22434)Termination phase: Property scanning
% 2.14/1.44
% 2.14/1.44 % (22434)Memory used [KB]: 1023
% 2.14/1.44 % (22434)Time elapsed: 0.009 s
% 2.14/1.44 % (22434)Instructions burned: 15 (million)
% 2.14/1.44 % (22434)------------------------------
% 2.14/1.44 % (22434)------------------------------
% 2.14/1.44 % (22437)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/7Mi)
% 2.14/1.44 % (22438)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/16Mi)
% 2.14/1.44 % (22437)Instruction limit reached!
% 2.14/1.44 % (22437)------------------------------
% 2.14/1.44 % (22437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.44 % (22437)Termination reason: Unknown
% 2.14/1.44 % (22437)Termination phase: Property scanning
% 2.14/1.44
% 2.14/1.44 % (22437)Memory used [KB]: 1023
% 2.14/1.44 % (22437)Time elapsed: 0.006 s
% 2.14/1.44 % (22437)Instructions burned: 7 (million)
% 2.14/1.44 % (22437)------------------------------
% 2.14/1.44 % (22437)------------------------------
% 2.14/1.44 % (22430)Refutation not found, incomplete strategy
% 2.14/1.44 % (22430)------------------------------
% 2.14/1.44 % (22430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.44 % (22430)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.44
% 2.14/1.44
% 2.14/1.44 % (22430)Memory used [KB]: 5500
% 2.14/1.44 % (22430)Time elapsed: 0.033 s
% 2.14/1.44 % (22430)Instructions burned: 78 (million)
% 2.14/1.44 % (22430)------------------------------
% 2.14/1.44 % (22430)------------------------------
% 2.14/1.44 % (22438)Instruction limit reached!
% 2.14/1.44 % (22438)------------------------------
% 2.14/1.44 % (22438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.44 % (22438)Termination reason: Unknown
% 2.14/1.44 % (22438)Termination phase: Property scanning
% 2.14/1.44
% 2.14/1.44 % (22438)Memory used [KB]: 1023
% 2.14/1.44 % (22438)Time elapsed: 0.006 s
% 2.14/1.44 % (22438)Instructions burned: 16 (million)
% 2.14/1.44 % (22438)------------------------------
% 2.14/1.44 % (22438)------------------------------
% 2.14/1.45 % (22425)Refutation not found, incomplete strategy
% 2.14/1.45 % (22425)------------------------------
% 2.14/1.45 % (22425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.45 % (22425)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.45
% 2.14/1.45
% 2.14/1.45 % (22425)Memory used [KB]: 5884
% 2.14/1.45 % (22425)Time elapsed: 0.038 s
% 2.14/1.45 % (22425)Instructions burned: 77 (million)
% 2.14/1.45 % (22425)------------------------------
% 2.14/1.45 % (22425)------------------------------
% 2.14/1.45 % (22439)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/3Mi)
% 2.14/1.45 % (22439)Instruction limit reached!
% 2.14/1.45 % (22439)------------------------------
% 2.14/1.45 % (22439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.45 % (22439)Termination reason: Unknown
% 2.14/1.45 % (22439)Termination phase: shuffling
% 2.14/1.45
% 2.14/1.45 % (22439)Memory used [KB]: 1023
% 2.14/1.45 % (22439)Time elapsed: 0.003 s
% 2.14/1.45 % (22439)Instructions burned: 3 (million)
% 2.14/1.45 % (22439)------------------------------
% 2.14/1.45 % (22439)------------------------------
% 2.14/1.45 % (22440)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/3Mi)
% 2.14/1.45 % (22443)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/4Mi)
% 2.14/1.45 % (22442)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/3Mi)
% 2.14/1.45 % (22442)Instruction limit reached!
% 2.14/1.45 % (22442)------------------------------
% 2.14/1.45 % (22442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.45 % (22442)Termination reason: Unknown
% 2.14/1.45 % (22442)Termination phase: shuffling
% 2.14/1.45
% 2.14/1.45 % (22440)Instruction limit reached!
% 2.14/1.45 % (22440)------------------------------
% 2.14/1.45 % (22440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.45 % (22440)Termination reason: Unknown
% 2.14/1.45 % (22440)Termination phase: shuffling
% 2.14/1.45
% 2.14/1.45 % (22440)Memory used [KB]: 1023
% 2.14/1.45 % (22440)Time elapsed: 0.003 s
% 2.14/1.45 % (22440)Instructions burned: 3 (million)
% 2.14/1.45 % (22440)------------------------------
% 2.14/1.45 % (22440)------------------------------
% 2.14/1.45 % (22442)Memory used [KB]: 1023
% 2.14/1.45 % (22442)Time elapsed: 0.002 s
% 2.14/1.45 % (22442)Instructions burned: 3 (million)
% 2.14/1.45 % (22442)------------------------------
% 2.14/1.45 % (22442)------------------------------
% 2.14/1.45 % (22443)Instruction limit reached!
% 2.14/1.45 % (22443)------------------------------
% 2.14/1.45 % (22443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.45 % (22443)Termination reason: Unknown
% 2.14/1.45 % (22443)Termination phase: Property scanning
% 2.14/1.45
% 2.14/1.45 % (22443)Memory used [KB]: 1023
% 2.14/1.45 % (22443)Time elapsed: 0.003 s
% 2.14/1.45 % (22443)Instructions burned: 5 (million)
% 2.14/1.45 % (22443)------------------------------
% 2.14/1.45 % (22443)------------------------------
% 2.14/1.46 % (22441)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/7Mi)
% 2.14/1.46 % (22441)Instruction limit reached!
% 2.14/1.46 % (22441)------------------------------
% 2.14/1.46 % (22441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.46 % (22441)Termination reason: Unknown
% 2.14/1.46 % (22441)Termination phase: shuffling
% 2.14/1.46
% 2.14/1.46 % (22441)Memory used [KB]: 1023
% 2.14/1.46 % (22441)Time elapsed: 0.005 s
% 2.14/1.46 % (22441)Instructions burned: 8 (million)
% 2.14/1.46 % (22441)------------------------------
% 2.14/1.46 % (22441)------------------------------
% 2.14/1.46 % (22448)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/21Mi)
% 2.14/1.46 % (22446)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/6Mi)
% 2.14/1.46 % (22444)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/18Mi)
% 2.14/1.46 % (22445)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/710Mi)
% 2.14/1.47 % (22446)Instruction limit reached!
% 2.14/1.47 % (22446)------------------------------
% 2.14/1.47 % (22446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.47 % (22446)Termination reason: Unknown
% 2.14/1.47 % (22446)Termination phase: Property scanning
% 2.14/1.47
% 2.14/1.47 % (22446)Memory used [KB]: 1023
% 2.14/1.47 % (22446)Time elapsed: 0.004 s
% 2.14/1.47 % (22446)Instructions burned: 7 (million)
% 2.14/1.47 % (22446)------------------------------
% 2.14/1.47 % (22446)------------------------------
% 2.14/1.47 % (22448)Instruction limit reached!
% 2.14/1.47 % (22448)------------------------------
% 2.14/1.47 % (22448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.47 % (22448)Termination reason: Unknown
% 2.14/1.47 % (22448)Termination phase: shuffling
% 2.14/1.47
% 2.14/1.47 % (22448)Memory used [KB]: 1023
% 2.14/1.47 % (22448)Time elapsed: 0.006 s
% 2.14/1.47 % (22448)Instructions burned: 24 (million)
% 2.14/1.47 % (22448)------------------------------
% 2.14/1.47 % (22448)------------------------------
% 2.14/1.47 % (22447)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/902Mi)
% 2.14/1.47 % (22444)Instruction limit reached!
% 2.14/1.47 % (22444)------------------------------
% 2.14/1.47 % (22444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.47 % (22444)Termination reason: Unknown
% 2.14/1.47 % (22444)Termination phase: Property scanning
% 2.14/1.47
% 2.14/1.47 % (22444)Memory used [KB]: 1023
% 2.14/1.47 % (22444)Time elapsed: 0.011 s
% 2.14/1.47 % (22444)Instructions burned: 19 (million)
% 2.14/1.47 % (22444)------------------------------
% 2.14/1.47 % (22444)------------------------------
% 2.14/1.48 % (22450)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/6Mi)
% 2.14/1.48 % (22450)Instruction limit reached!
% 2.14/1.48 % (22450)------------------------------
% 2.14/1.48 % (22450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.48 % (22450)Termination reason: Unknown
% 2.14/1.48 % (22450)Termination phase: shuffling
% 2.14/1.48
% 2.14/1.48 % (22450)Memory used [KB]: 1023
% 2.14/1.48 % (22450)Time elapsed: 0.003 s
% 2.14/1.48 % (22450)Instructions burned: 6 (million)
% 2.14/1.48 % (22450)------------------------------
% 2.14/1.48 % (22450)------------------------------
% 2.14/1.48 % (22451)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/377Mi)
% 2.14/1.48 % (22449)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_22309 for (2999ds/5Mi)
% 2.14/1.48 % (22449)Instruction limit reached!
% 2.14/1.48 % (22449)------------------------------
% 2.14/1.48 % (22449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.48 % (22449)Termination reason: Unknown
% 2.14/1.48 % (22449)Termination phase: shuffling
% 2.14/1.48
% 2.14/1.48 % (22449)Memory used [KB]: 1023
% 2.14/1.48 % (22449)Time elapsed: 0.004 s
% 2.14/1.48 % (22449)Instructions burned: 6 (million)
% 2.14/1.48 % (22449)------------------------------
% 2.14/1.48 % (22449)------------------------------
% 2.14/1.49 % (22447)Refutation not found, incomplete strategy
% 2.14/1.49 % (22447)------------------------------
% 2.14/1.49 % (22447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.49 % (22447)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.49
% 2.14/1.49
% 2.14/1.49 % (22447)Memory used [KB]: 5500
% 2.14/1.49 % (22447)Time elapsed: 0.018 s
% 2.14/1.49 % (22447)Instructions burned: 52 (million)
% 2.14/1.49 % (22447)------------------------------
% 2.14/1.49 % (22447)------------------------------
% 2.14/1.49 % (22453)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/19Mi)
% 2.14/1.49 % (22452)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/779Mi)
% 2.14/1.49 % (22451)Refutation not found, incomplete strategy
% 2.14/1.49 % (22451)------------------------------
% 2.14/1.49 % (22451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.49 % (22451)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.49
% 2.14/1.49
% 2.14/1.49 % (22451)Memory used [KB]: 5500
% 2.14/1.49 % (22451)Time elapsed: 0.013 s
% 2.14/1.49 % (22451)Instructions burned: 52 (million)
% 2.14/1.49 % (22451)------------------------------
% 2.14/1.49 % (22451)------------------------------
% 2.14/1.49 % (22453)Instruction limit reached!
% 2.14/1.49 % (22453)------------------------------
% 2.14/1.49 % (22453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.49 % (22453)Termination reason: Unknown
% 2.14/1.49 % (22453)Termination phase: shuffling
% 2.14/1.49
% 2.14/1.49 % (22453)Memory used [KB]: 1023
% 2.14/1.49 % (22453)Time elapsed: 0.006 s
% 2.14/1.49 % (22453)Instructions burned: 19 (million)
% 2.14/1.49 % (22453)------------------------------
% 2.14/1.49 % (22453)------------------------------
% 2.14/1.50 % (22454)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/879Mi)
% 2.14/1.50 % (22455)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/17Mi)
% 2.14/1.50 % (22456)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/3Mi)
% 2.14/1.50 % (22456)Instruction limit reached!
% 2.14/1.50 % (22456)------------------------------
% 2.14/1.50 % (22456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.50 % (22456)Termination reason: Unknown
% 2.14/1.50 % (22456)Termination phase: shuffling
% 2.14/1.50
% 2.14/1.50 % (22456)Memory used [KB]: 1023
% 2.14/1.50 % (22456)Time elapsed: 0.002 s
% 2.14/1.50 % (22456)Instructions burned: 6 (million)
% 2.14/1.50 % (22456)------------------------------
% 2.14/1.50 % (22456)------------------------------
% 2.14/1.50 % (22457)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/30Mi)
% 2.14/1.50 % (22455)Instruction limit reached!
% 2.14/1.50 % (22455)------------------------------
% 2.14/1.50 % (22455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.50 % (22455)Termination reason: Unknown
% 2.14/1.50 % (22455)Termination phase: Property scanning
% 2.14/1.50
% 2.14/1.50 % (22455)Memory used [KB]: 1023
% 2.14/1.50 % (22455)Time elapsed: 0.007 s
% 2.14/1.50 % (22455)Instructions burned: 20 (million)
% 2.14/1.50 % (22455)------------------------------
% 2.14/1.50 % (22455)------------------------------
% 2.14/1.51 % (22457)Instruction limit reached!
% 2.14/1.51 % (22457)------------------------------
% 2.14/1.51 % (22457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.51 % (22457)Termination reason: Unknown
% 2.14/1.51 % (22457)Termination phase: shuffling
% 2.14/1.51
% 2.14/1.51 % (22457)Memory used [KB]: 1023
% 2.14/1.51 % (22457)Time elapsed: 0.009 s
% 2.14/1.51 % (22457)Instructions burned: 31 (million)
% 2.14/1.51 % (22457)------------------------------
% 2.14/1.51 % (22457)------------------------------
% 2.14/1.51 % (22458)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/127Mi)
% 2.14/1.51 % (22459)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/100Mi)
% 2.14/1.52 % (22460)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/3Mi)
% 2.14/1.52 % (22460)Instruction limit reached!
% 2.14/1.52 % (22460)------------------------------
% 2.14/1.52 % (22460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.52 % (22460)Termination reason: Unknown
% 2.14/1.52 % (22460)Termination phase: shuffling
% 2.14/1.52
% 2.14/1.52 % (22460)Memory used [KB]: 1023
% 2.14/1.52 % (22460)Time elapsed: 0.003 s
% 2.14/1.52 % (22460)Instructions burned: 5 (million)
% 2.14/1.52 % (22460)------------------------------
% 2.14/1.52 % (22460)------------------------------
% 2.14/1.52 % (22454)Refutation not found, incomplete strategy
% 2.14/1.52 % (22454)------------------------------
% 2.14/1.52 % (22454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.52 % (22454)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.52
% 2.14/1.52
% 2.14/1.52 % (22454)Memory used [KB]: 5500
% 2.14/1.52 % (22454)Time elapsed: 0.028 s
% 2.14/1.52 % (22454)Instructions burned: 103 (million)
% 2.14/1.52 % (22454)------------------------------
% 2.14/1.52 % (22454)------------------------------
% 2.14/1.53 % (22459)Refutation not found, incomplete strategy
% 2.14/1.53 % (22459)------------------------------
% 2.14/1.53 % (22459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.53 % (22459)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.53
% 2.14/1.53
% 2.14/1.53 % (22459)Memory used [KB]: 5500
% 2.14/1.53 % (22459)Time elapsed: 0.015 s
% 2.14/1.53 % (22459)Instructions burned: 53 (million)
% 2.14/1.53 % (22459)------------------------------
% 2.14/1.53 % (22459)------------------------------
% 2.14/1.53 % (22461)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/20Mi)
% 2.14/1.53 % (22462)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/86Mi)
% 2.14/1.54 % (22461)Instruction limit reached!
% 2.14/1.54 % (22461)------------------------------
% 2.14/1.54 % (22461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.54 % (22461)Termination reason: Unknown
% 2.14/1.54 % (22461)Termination phase: Property scanning
% 2.14/1.54
% 2.14/1.54 % (22461)Memory used [KB]: 1023
% 2.14/1.54 % (22461)Time elapsed: 0.007 s
% 2.14/1.54 % (22461)Instructions burned: 20 (million)
% 2.14/1.54 % (22461)------------------------------
% 2.14/1.54 % (22461)------------------------------
% 2.14/1.54 % (22463)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/107Mi)
% 2.14/1.54 % (22458)Instruction limit reached!
% 2.14/1.54 % (22458)------------------------------
% 2.14/1.54 % (22458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.54 % (22458)Termination reason: Unknown
% 2.14/1.54 % (22458)Termination phase: Saturation
% 2.14/1.54
% 2.14/1.54 % (22458)Memory used [KB]: 6268
% 2.14/1.54 % (22458)Time elapsed: 0.032 s
% 2.14/1.54 % (22458)Instructions burned: 130 (million)
% 2.14/1.54 % (22458)------------------------------
% 2.14/1.54 % (22458)------------------------------
% 2.14/1.55 % (22464)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/39Mi)
% 2.14/1.55 % (22462)Refutation not found, incomplete strategy
% 2.14/1.55 % (22462)------------------------------
% 2.14/1.55 % (22462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.55 % (22462)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.55
% 2.14/1.55
% 2.14/1.55 % (22462)Memory used [KB]: 5628
% 2.14/1.55 % (22462)Time elapsed: 0.017 s
% 2.14/1.55 % (22462)Instructions burned: 59 (million)
% 2.14/1.55 % (22462)------------------------------
% 2.14/1.55 % (22462)------------------------------
% 2.14/1.55 % (22465)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/448Mi)
% 2.14/1.56 % (22464)Instruction limit reached!
% 2.14/1.56 % (22464)------------------------------
% 2.14/1.56 % (22464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.56 % (22464)Termination reason: Unknown
% 2.14/1.56 % (22464)Termination phase: Property scanning
% 2.14/1.56
% 2.14/1.56 % (22464)Memory used [KB]: 1023
% 2.14/1.56 % (22464)Time elapsed: 0.011 s
% 2.14/1.56 % (22464)Instructions burned: 39 (million)
% 2.14/1.56 % (22464)------------------------------
% 2.14/1.56 % (22464)------------------------------
% 2.14/1.56 % (22463)Refutation not found, incomplete strategy
% 2.14/1.56 % (22463)------------------------------
% 2.14/1.56 % (22463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.56 % (22463)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.56
% 2.14/1.56
% 2.14/1.56 % (22463)Memory used [KB]: 5500
% 2.14/1.56 % (22463)Time elapsed: 0.021 s
% 2.14/1.56 % (22463)Instructions burned: 78 (million)
% 2.14/1.56 % (22463)------------------------------
% 2.14/1.56 % (22463)------------------------------
% 2.14/1.56 % (22466)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/46Mi)
% 2.14/1.56 % (22445)First to succeed.
% 2.14/1.57 % (22467)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/98Mi)
% 2.14/1.57 % (22468)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/507Mi)
% 2.14/1.57 % (22466)Instruction limit reached!
% 2.14/1.57 % (22466)------------------------------
% 2.14/1.57 % (22466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.57 % (22466)Termination reason: Unknown
% 2.14/1.57 % (22466)Termination phase: SInE selection
% 2.14/1.57
% 2.14/1.57 % (22466)Memory used [KB]: 1023
% 2.14/1.57 % (22466)Time elapsed: 0.013 s
% 2.14/1.57 % (22466)Instructions burned: 50 (million)
% 2.14/1.57 % (22466)------------------------------
% 2.14/1.57 % (22466)------------------------------
% 2.14/1.58 % (22469)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_22309 for (2998ds/149Mi)
% 2.14/1.59 % (22467)Instruction limit reached!
% 2.14/1.59 % (22467)------------------------------
% 2.14/1.59 % (22467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.59 % (22467)Termination reason: Unknown
% 2.14/1.59 % (22467)Termination phase: Saturation
% 2.14/1.59
% 2.14/1.59 % (22467)Memory used [KB]: 1151
% 2.14/1.59 % (22467)Time elapsed: 0.026 s
% 2.14/1.59 % (22467)Instructions burned: 100 (million)
% 2.14/1.59 % (22467)------------------------------
% 2.14/1.59 % (22467)------------------------------
% 2.14/1.60 % (22470)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_22309 for (2997ds/39Mi)
% 2.14/1.60 % (22445)Refutation found. Thanks to Tanya!
% 2.14/1.60 % SZS status Theorem for DTF2THF_22309
% 2.14/1.60 % SZS output start Proof for DTF2THF_22309
% 2.14/1.60 thf(func_def_30, type, f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i).
% 2.14/1.60 thf(func_def_35, type, ph1: !>[X0: $tType]:(X0)).
% 2.14/1.60 thf(f216,plain,(
% 2.14/1.60 $false),
% 2.14/1.60 inference(avatar_sat_refutation,[status(thm)],[f120,f125,f130,f135,f140,f145,f150,f155,f160,f165,f170,f175,f180,f185,f190,f195,f200,f205,f210,f215])).
% 2.14/1.60 thf(f215,plain,(
% 2.14/1.60 ~spl0_22),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f214])).
% 2.14/1.60 thf(f214,plain,(
% 2.14/1.60 $false | ~spl0_22),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f213])).
% 2.14/1.60 thf(f213,plain,(
% 2.14/1.60 (b10 != b10) | ~spl0_22),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f212])).
% 2.14/1.60 thf(f212,plain,(
% 2.14/1.60 (b10 != b10) | (b10 != b10) | (b10 != b10) | (b10 != b10) | (b10 != b10) | ~spl0_22),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f211])).
% 2.14/1.60 thf(f211,plain,(
% 2.14/1.60 (b10 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b10)))))) @ a1 @ a0 @ a2)) | (b10 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b10)))))) @ a0 @ a2 @ a1)) | (b10 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b10)))))) @ a1 @ a2 @ a0)) | (b10 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b10)))))) @ a0 @ a1 @ a2)) | (b10 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b10)))))) @ a2 @ a0 @ a1)) | ~spl0_22),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f119])).
% 2.14/1.60 thf(f119,plain,(
% 2.14/1.60 ( ! [X12 : $i > $i > $i > $i] : ((b10 != (X12 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a0 @ a2 @ a1))) ) | ~spl0_22),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f118])).
% 2.14/1.60 thf(f118,definition,(
% 2.14/1.60 spl0_22 <=> ! [X12 : $i > $i > $i > $i] : ((b10 != (X12 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a0 @ a1 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])).
% 2.14/1.60 thf(f210,plain,(
% 2.14/1.60 ~spl0_21),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f209])).
% 2.14/1.60 thf(f209,plain,(
% 2.14/1.60 $false | ~spl0_21),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f208])).
% 2.14/1.60 thf(f208,plain,(
% 2.14/1.60 (b14 != b14) | ~spl0_21),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f207])).
% 2.14/1.60 thf(f207,plain,(
% 2.14/1.60 (b14 != b14) | (b14 != b14) | (b14 != b14) | (b14 != b14) | (b14 != b14) | ~spl0_21),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f206])).
% 2.14/1.60 thf(f206,plain,(
% 2.14/1.60 (b14 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b14)))))) @ a0 @ a2 @ a1)) | (b14 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b14)))))) @ a0 @ a1 @ a2)) | (b14 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b14)))))) @ a1 @ a2 @ a0)) | (b14 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b14)))))) @ a2 @ a0 @ a1)) | (b14 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b14)))))) @ a1 @ a0 @ a2)) | ~spl0_21),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f116])).
% 2.14/1.60 thf(f116,plain,(
% 2.14/1.60 ( ! [X1 : $i > $i > $i > $i] : ((b14 != (X1 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a0 @ a2))) ) | ~spl0_21),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f115])).
% 2.14/1.60 thf(f115,definition,(
% 2.14/1.60 spl0_21 <=> ! [X1 : $i > $i > $i > $i] : ((b14 != (X1 @ a1 @ a0 @ a2)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a2 @ a1 @ a0)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 2.14/1.60 thf(f205,plain,(
% 2.14/1.60 ~spl0_20),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f204])).
% 2.14/1.60 thf(f204,plain,(
% 2.14/1.60 $false | ~spl0_20),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f203])).
% 2.14/1.60 thf(f203,plain,(
% 2.14/1.60 (b7 != b7) | ~spl0_20),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f202])).
% 2.14/1.60 thf(f202,plain,(
% 2.14/1.60 (b7 != b7) | (b7 != b7) | (b7 != b7) | (b7 != b7) | (b7 != b7) | ~spl0_20),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f201])).
% 2.14/1.60 thf(f201,plain,(
% 2.14/1.60 (b7 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b7)))))) @ a1 @ a0 @ a2)) | (b7 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b7)))))) @ a0 @ a1 @ a2)) | (b7 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b7)))))) @ a2 @ a0 @ a1)) | (b7 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b7)))))) @ a1 @ a2 @ a0)) | (b7 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b7)))))) @ a0 @ a2 @ a1)) | ~spl0_20),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f113])).
% 2.14/1.60 thf(f113,plain,(
% 2.14/1.60 ( ! [X14 : $i > $i > $i > $i] : ((b7 != (X14 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a0 @ a1 @ a2))) ) | ~spl0_20),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f112])).
% 2.14/1.60 thf(f112,definition,(
% 2.14/1.60 spl0_20 <=> ! [X14 : $i > $i > $i > $i] : ((b7 != (X14 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 2.14/1.60 thf(f200,plain,(
% 2.14/1.60 ~spl0_19),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f199])).
% 2.14/1.60 thf(f199,plain,(
% 2.14/1.60 $false | ~spl0_19),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f198])).
% 2.14/1.60 thf(f198,plain,(
% 2.14/1.60 (b20 != b20) | ~spl0_19),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f197])).
% 2.14/1.60 thf(f197,plain,(
% 2.14/1.60 (b20 != b20) | (b20 != b20) | (b20 != b20) | (b20 != b20) | (b20 != b20) | ~spl0_19),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f196])).
% 2.14/1.60 thf(f196,plain,(
% 2.14/1.60 (b20 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b20)))))) @ a2 @ a0 @ a1)) | (b20 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b20)))))) @ a1 @ a2 @ a0)) | (b20 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b20)))))) @ a0 @ a1 @ a2)) | (b20 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b20)))))) @ a1 @ a0 @ a2)) | (b20 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b20)))))) @ a0 @ a2 @ a1)) | ~spl0_19),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f110])).
% 2.14/1.60 thf(f110,plain,(
% 2.14/1.60 ( ! [X8 : $i > $i > $i > $i] : ((b20 != (X8 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a2 @ a0 @ a1))) ) | ~spl0_19),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f109])).
% 2.14/1.60 thf(f109,definition,(
% 2.14/1.60 spl0_19 <=> ! [X8 : $i > $i > $i > $i] : ((b20 != (X8 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition])).
% 2.14/1.60 thf(f195,plain,(
% 2.14/1.60 ~spl0_18),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f194])).
% 2.14/1.60 thf(f194,plain,(
% 2.14/1.60 $false | ~spl0_18),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f193])).
% 2.14/1.60 thf(f193,plain,(
% 2.14/1.60 (b19 != b19) | ~spl0_18),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f192])).
% 2.14/1.60 thf(f192,plain,(
% 2.14/1.60 (b19 != b19) | (b19 != b19) | (b19 != b19) | (b19 != b19) | (b19 != b19) | ~spl0_18),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f191])).
% 2.14/1.60 thf(f191,plain,(
% 2.14/1.60 (b19 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b19)))))) @ a1 @ a0 @ a2)) | (b19 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b19)))))) @ a1 @ a2 @ a0)) | (b19 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b19)))))) @ a0 @ a1 @ a2)) | (b19 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b19)))))) @ a0 @ a2 @ a1)) | (b19 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b19)))))) @ a2 @ a0 @ a1)) | ~spl0_18),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f107])).
% 2.14/1.60 thf(f107,plain,(
% 2.14/1.60 ( ! [X18 : $i > $i > $i > $i] : ((b19 != (X18 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a1 @ a0 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2))) ) | ~spl0_18),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f106])).
% 2.14/1.60 thf(f106,definition,(
% 2.14/1.60 spl0_18 <=> ! [X18 : $i > $i > $i > $i] : ((b19 != (X18 @ a1 @ a0 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 2.14/1.60 thf(f190,plain,(
% 2.14/1.60 ~spl0_17),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f189])).
% 2.14/1.60 thf(f189,plain,(
% 2.14/1.60 $false | ~spl0_17),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f188])).
% 2.14/1.60 thf(f188,plain,(
% 2.14/1.60 (b2 != b2) | ~spl0_17),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f187])).
% 2.14/1.60 thf(f187,plain,(
% 2.14/1.60 (b2 != b2) | (b2 != b2) | (b2 != b2) | (b2 != b2) | (b2 != b2) | ~spl0_17),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f186])).
% 2.14/1.60 thf(f186,plain,(
% 2.14/1.60 (b2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b2)))))) @ a0 @ a2 @ a1)) | (b2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b2)))))) @ a0 @ a1 @ a2)) | (b2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b2)))))) @ a2 @ a0 @ a1)) | (b2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b2)))))) @ a1 @ a0 @ a2)) | (b2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b2)))))) @ a1 @ a2 @ a0)) | ~spl0_17),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f104])).
% 2.14/1.60 thf(f104,plain,(
% 2.14/1.60 ( ! [X16 : $i > $i > $i > $i] : ((b2 != (X16 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a1 @ a0 @ a2))) ) | ~spl0_17),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f103])).
% 2.14/1.60 thf(f103,definition,(
% 2.14/1.60 spl0_17 <=> ! [X16 : $i > $i > $i > $i] : ((b2 != (X16 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a0 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])).
% 2.14/1.60 thf(f185,plain,(
% 2.14/1.60 ~spl0_16),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f184])).
% 2.14/1.60 thf(f184,plain,(
% 2.14/1.60 $false | ~spl0_16),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f183])).
% 2.14/1.60 thf(f183,plain,(
% 2.14/1.60 (b3 != b3) | ~spl0_16),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f182])).
% 2.14/1.60 thf(f182,plain,(
% 2.14/1.60 (b3 != b3) | (b3 != b3) | (b3 != b3) | (b3 != b3) | (b3 != b3) | ~spl0_16),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f181])).
% 2.14/1.60 thf(f181,plain,(
% 2.14/1.60 (b3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b3)))))) @ a1 @ a0 @ a2)) | (b3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b3)))))) @ a2 @ a0 @ a1)) | (b3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b3)))))) @ a1 @ a2 @ a0)) | (b3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b3)))))) @ a0 @ a2 @ a1)) | (b3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b3)))))) @ a0 @ a1 @ a2)) | ~spl0_16),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f101])).
% 2.14/1.60 thf(f101,plain,(
% 2.14/1.60 ( ! [X11 : $i > $i > $i > $i] : ((b3 != (X11 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a2 @ a0 @ a1))) ) | ~spl0_16),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f100])).
% 2.14/1.60 thf(f100,definition,(
% 2.14/1.60 spl0_16 <=> ! [X11 : $i > $i > $i > $i] : ((b3 != (X11 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a1 @ a0 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 2.14/1.60 thf(f180,plain,(
% 2.14/1.60 ~spl0_15),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f179])).
% 2.14/1.60 thf(f179,plain,(
% 2.14/1.60 $false | ~spl0_15),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f178])).
% 2.14/1.60 thf(f178,plain,(
% 2.14/1.60 (b15 != b15) | ~spl0_15),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f177])).
% 2.14/1.60 thf(f177,plain,(
% 2.14/1.60 (b15 != b15) | (b15 != b15) | (b15 != b15) | (b15 != b15) | (b15 != b15) | ~spl0_15),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f176])).
% 2.14/1.60 thf(f176,plain,(
% 2.14/1.60 (b15 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b15)))))) @ a0 @ a2 @ a1)) | (b15 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b15)))))) @ a1 @ a2 @ a0)) | (b15 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b15)))))) @ a0 @ a1 @ a2)) | (b15 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b15)))))) @ a2 @ a0 @ a1)) | (b15 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b15)))))) @ a1 @ a0 @ a2)) | ~spl0_15),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f98])).
% 2.14/1.60 thf(f98,plain,(
% 2.14/1.60 ( ! [X15 : $i > $i > $i > $i] : ((b15 != (X15 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b15 != (X15 @ a2 @ a0 @ a1))) ) | ~spl0_15),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f97])).
% 2.14/1.60 thf(f97,definition,(
% 2.14/1.60 spl0_15 <=> ! [X15 : $i > $i > $i > $i] : ((b15 != (X15 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a0 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
% 2.14/1.60 thf(f175,plain,(
% 2.14/1.60 ~spl0_14),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f174])).
% 2.14/1.60 thf(f174,plain,(
% 2.14/1.60 $false | ~spl0_14),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f173])).
% 2.14/1.60 thf(f173,plain,(
% 2.14/1.60 (b24 != b24) | ~spl0_14),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f172])).
% 2.14/1.60 thf(f172,plain,(
% 2.14/1.60 (b24 != b24) | (b24 != b24) | (b24 != b24) | (b24 != b24) | (b24 != b24) | ~spl0_14),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f171])).
% 2.14/1.60 thf(f171,plain,(
% 2.14/1.60 (b24 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b24)))))) @ a0 @ a1 @ a2)) | (b24 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b24)))))) @ a1 @ a0 @ a2)) | (b24 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b24)))))) @ a0 @ a2 @ a1)) | (b24 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b24)))))) @ a2 @ a0 @ a1)) | (b24 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b24)))))) @ a1 @ a2 @ a0)) | ~spl0_14),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f95])).
% 2.14/1.60 thf(f95,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i] : ((b24 != (X2 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a1 @ a0 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a1 @ a2))) ) | ~spl0_14),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f94])).
% 2.14/1.60 thf(f94,definition,(
% 2.14/1.60 spl0_14 <=> ! [X2 : $i > $i > $i > $i] : ((b24 != (X2 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a1 @ a0 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 2.14/1.60 thf(f170,plain,(
% 2.14/1.60 ~spl0_13),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f169])).
% 2.14/1.60 thf(f169,plain,(
% 2.14/1.60 $false | ~spl0_13),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f168])).
% 2.14/1.60 thf(f168,plain,(
% 2.14/1.60 (b1 != b1) | ~spl0_13),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f167])).
% 2.14/1.60 thf(f167,plain,(
% 2.14/1.60 (b1 != b1) | (b1 != b1) | (b1 != b1) | (b1 != b1) | (b1 != b1) | ~spl0_13),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f166])).
% 2.14/1.60 thf(f166,plain,(
% 2.14/1.60 (b1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b1)))))) @ a2 @ a0 @ a1)) | (b1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b1)))))) @ a0 @ a2 @ a1)) | (b1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b1)))))) @ a1 @ a0 @ a2)) | (b1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b1)))))) @ a0 @ a1 @ a2)) | (b1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b1)))))) @ a1 @ a2 @ a0)) | ~spl0_13),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f92])).
% 2.14/1.60 thf(f92,plain,(
% 2.14/1.60 ( ! [X17 : $i > $i > $i > $i] : ((b1 != (X17 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b1 != (X17 @ a2 @ a0 @ a1))) ) | ~spl0_13),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f91])).
% 2.14/1.60 thf(f91,definition,(
% 2.14/1.60 spl0_13 <=> ! [X17 : $i > $i > $i > $i] : ((b1 != (X17 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 2.14/1.60 thf(f165,plain,(
% 2.14/1.60 ~spl0_12),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f164])).
% 2.14/1.60 thf(f164,plain,(
% 2.14/1.60 $false | ~spl0_12),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f163])).
% 2.14/1.60 thf(f163,plain,(
% 2.14/1.60 (b4 != b4) | ~spl0_12),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f162])).
% 2.14/1.60 thf(f162,plain,(
% 2.14/1.60 (b4 != b4) | (b4 != b4) | (b4 != b4) | (b4 != b4) | (b4 != b4) | ~spl0_12),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f161])).
% 2.14/1.60 thf(f161,plain,(
% 2.14/1.60 (b4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b4)))))) @ a2 @ a0 @ a1)) | (b4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b4)))))) @ a0 @ a2 @ a1)) | (b4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b4)))))) @ a1 @ a0 @ a2)) | (b4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b4)))))) @ a1 @ a2 @ a0)) | (b4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b4)))))) @ a0 @ a1 @ a2)) | ~spl0_12),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f89])).
% 2.14/1.60 thf(f89,plain,(
% 2.14/1.60 ( ! [X9 : $i > $i > $i > $i] : ((b4 != (X9 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2))) ) | ~spl0_12),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f88])).
% 2.14/1.60 thf(f88,definition,(
% 2.14/1.60 spl0_12 <=> ! [X9 : $i > $i > $i > $i] : ((b4 != (X9 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 2.14/1.60 thf(f160,plain,(
% 2.14/1.60 ~spl0_11),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f159])).
% 2.14/1.60 thf(f159,plain,(
% 2.14/1.60 $false | ~spl0_11),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f158])).
% 2.14/1.60 thf(f158,plain,(
% 2.14/1.60 (b26 != b26) | ~spl0_11),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f157])).
% 2.14/1.60 thf(f157,plain,(
% 2.14/1.60 (b26 != b26) | (b26 != b26) | (b26 != b26) | (b26 != b26) | (b26 != b26) | ~spl0_11),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f156])).
% 2.14/1.60 thf(f156,plain,(
% 2.14/1.60 (b26 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b26)))))) @ a2 @ a0 @ a1)) | (b26 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b26)))))) @ a0 @ a1 @ a2)) | (b26 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b26)))))) @ a0 @ a2 @ a1)) | (b26 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b26)))))) @ a1 @ a2 @ a0)) | (b26 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b26)))))) @ a1 @ a0 @ a2)) | ~spl0_11),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f86])).
% 2.14/1.60 thf(f86,plain,(
% 2.14/1.60 ( ! [X3 : $i > $i > $i > $i] : ((b26 != (X3 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a1 @ a0 @ a2))) ) | ~spl0_11),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f85])).
% 2.14/1.60 thf(f85,definition,(
% 2.14/1.60 spl0_11 <=> ! [X3 : $i > $i > $i > $i] : ((b26 != (X3 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a0 @ a2)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a2 @ a0 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 2.14/1.60 thf(f155,plain,(
% 2.14/1.60 ~spl0_10),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f154])).
% 2.14/1.60 thf(f154,plain,(
% 2.14/1.60 $false | ~spl0_10),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f153])).
% 2.14/1.60 thf(f153,plain,(
% 2.14/1.60 (b11 != b11) | ~spl0_10),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f152])).
% 2.14/1.60 thf(f152,plain,(
% 2.14/1.60 (b11 != b11) | (b11 != b11) | (b11 != b11) | (b11 != b11) | (b11 != b11) | ~spl0_10),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f151])).
% 2.14/1.60 thf(f151,plain,(
% 2.14/1.60 (b11 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b11)))))) @ a1 @ a0 @ a2)) | (b11 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b11)))))) @ a1 @ a2 @ a0)) | (b11 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b11)))))) @ a2 @ a0 @ a1)) | (b11 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b11)))))) @ a0 @ a1 @ a2)) | (b11 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b11)))))) @ a0 @ a2 @ a1)) | ~spl0_10),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f83])).
% 2.14/1.60 thf(f83,plain,(
% 2.14/1.60 ( ! [X6 : $i > $i > $i > $i] : ((b11 != (X6 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a1 @ a0 @ a2))) ) | ~spl0_10),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f82])).
% 2.14/1.60 thf(f82,definition,(
% 2.14/1.60 spl0_10 <=> ! [X6 : $i > $i > $i > $i] : ((b11 != (X6 @ a1 @ a0 @ a2)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 2.14/1.60 thf(f150,plain,(
% 2.14/1.60 ~spl0_9),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f149])).
% 2.14/1.60 thf(f149,plain,(
% 2.14/1.60 $false | ~spl0_9),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f148])).
% 2.14/1.60 thf(f148,plain,(
% 2.14/1.60 (b17 != b17) | ~spl0_9),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f147])).
% 2.14/1.60 thf(f147,plain,(
% 2.14/1.60 (b17 != b17) | (b17 != b17) | (b17 != b17) | (b17 != b17) | (b17 != b17) | ~spl0_9),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f146])).
% 2.14/1.60 thf(f146,plain,(
% 2.14/1.60 (b17 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b17)))))) @ a0 @ a2 @ a1)) | (b17 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b17)))))) @ a1 @ a2 @ a0)) | (b17 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b17)))))) @ a0 @ a1 @ a2)) | (b17 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b17)))))) @ a1 @ a0 @ a2)) | (b17 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b17)))))) @ a2 @ a0 @ a1)) | ~spl0_9),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f80])).
% 2.14/1.60 thf(f80,plain,(
% 2.14/1.60 ( ! [X7 : $i > $i > $i > $i] : ((b17 != (X7 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a0 @ a1 @ a2))) ) | ~spl0_9),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f79])).
% 2.14/1.60 thf(f79,definition,(
% 2.14/1.60 spl0_9 <=> ! [X7 : $i > $i > $i > $i] : ((b17 != (X7 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a2 @ a0 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 2.14/1.60 thf(f145,plain,(
% 2.14/1.60 ~spl0_8),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f144])).
% 2.14/1.60 thf(f144,plain,(
% 2.14/1.60 $false | ~spl0_8),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f143])).
% 2.14/1.60 thf(f143,plain,(
% 2.14/1.60 (b18 != b18) | ~spl0_8),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f142])).
% 2.14/1.60 thf(f142,plain,(
% 2.14/1.60 (b18 != b18) | (b18 != b18) | (b18 != b18) | (b18 != b18) | (b18 != b18) | ~spl0_8),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f141])).
% 2.14/1.60 thf(f141,plain,(
% 2.14/1.60 (b18 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b18)))))) @ a0 @ a1 @ a2)) | (b18 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b18)))))) @ a1 @ a0 @ a2)) | (b18 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b18)))))) @ a0 @ a2 @ a1)) | (b18 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b18)))))) @ a1 @ a2 @ a0)) | (b18 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b18)))))) @ a2 @ a0 @ a1)) | ~spl0_8),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f77])).
% 2.14/1.60 thf(f77,plain,(
% 2.14/1.60 ( ! [X4 : $i > $i > $i > $i] : ((b18 != (X4 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a2 @ a0 @ a1))) ) | ~spl0_8),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f76])).
% 2.14/1.60 thf(f76,definition,(
% 2.14/1.60 spl0_8 <=> ! [X4 : $i > $i > $i > $i] : ((b18 != (X4 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 2.14/1.60 thf(f140,plain,(
% 2.14/1.60 ~spl0_7),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f139])).
% 2.14/1.60 thf(f139,plain,(
% 2.14/1.60 $false | ~spl0_7),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f138])).
% 2.14/1.60 thf(f138,plain,(
% 2.14/1.60 (b6 != b6) | ~spl0_7),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f137])).
% 2.14/1.60 thf(f137,plain,(
% 2.14/1.60 (b6 != b6) | (b6 != b6) | (b6 != b6) | (b6 != b6) | (b6 != b6) | ~spl0_7),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f136])).
% 2.14/1.60 thf(f136,plain,(
% 2.14/1.60 (b6 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b6)))))) @ a0 @ a1 @ a2)) | (b6 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b6)))))) @ a2 @ a0 @ a1)) | (b6 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b6)))))) @ a1 @ a2 @ a0)) | (b6 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b6)))))) @ a1 @ a0 @ a2)) | (b6 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b6)))))) @ a0 @ a2 @ a1)) | ~spl0_7),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f74])).
% 2.14/1.60 thf(f74,plain,(
% 2.14/1.60 ( ! [X10 : $i > $i > $i > $i] : ((b6 != (X10 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1))) ) | ~spl0_7),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f73])).
% 2.14/1.60 thf(f73,definition,(
% 2.14/1.60 spl0_7 <=> ! [X10 : $i > $i > $i > $i] : ((b6 != (X10 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 2.14/1.60 thf(f135,plain,(
% 2.14/1.60 ~spl0_6),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f134])).
% 2.14/1.60 thf(f134,plain,(
% 2.14/1.60 $false | ~spl0_6),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f133])).
% 2.14/1.60 thf(f133,plain,(
% 2.14/1.60 (b23 != b23) | ~spl0_6),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f132])).
% 2.14/1.60 thf(f132,plain,(
% 2.14/1.60 (b23 != b23) | (b23 != b23) | (b23 != b23) | (b23 != b23) | (b23 != b23) | ~spl0_6),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f131])).
% 2.14/1.60 thf(f131,plain,(
% 2.14/1.60 (b23 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b23)))))) @ a1 @ a0 @ a2)) | (b23 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b23)))))) @ a0 @ a1 @ a2)) | (b23 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b23)))))) @ a2 @ a0 @ a1)) | (b23 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b23)))))) @ a0 @ a2 @ a1)) | (b23 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b23)))))) @ a2 @ a1 @ a0)) | ~spl0_6),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f71])).
% 2.14/1.60 thf(f71,plain,(
% 2.14/1.60 ( ! [X0 : $i > $i > $i > $i] : (((X0 @ a1 @ a2 @ a0) != b23) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a1 @ a0 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a1 @ a2))) ) | ~spl0_6),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f70])).
% 2.14/1.60 thf(f70,definition,(
% 2.14/1.60 spl0_6 <=> ! [X0 : $i > $i > $i > $i] : ((b23 != (X0 @ a2 @ a1 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a1 @ a0 @ a2)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 2.14/1.60 thf(f130,plain,(
% 2.14/1.60 ~spl0_5),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f129])).
% 2.14/1.60 thf(f129,plain,(
% 2.14/1.60 $false | ~spl0_5),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f128])).
% 2.14/1.60 thf(f128,plain,(
% 2.14/1.60 (b21 != b21) | ~spl0_5),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f127])).
% 2.14/1.60 thf(f127,plain,(
% 2.14/1.60 (b21 != b21) | (b21 != b21) | (b21 != b21) | (b21 != b21) | (b21 != b21) | ~spl0_5),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f126])).
% 2.14/1.60 thf(f126,plain,(
% 2.14/1.60 (b21 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b21)))))) @ a2 @ a0 @ a1)) | (b21 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b21)))))) @ a0 @ a1 @ a2)) | (b21 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b21)))))) @ a1 @ a0 @ a2)) | (b21 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b21)))))) @ a1 @ a2 @ a0)) | (b21 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b21)))))) @ a0 @ a2 @ a1)) | ~spl0_5),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f68])).
% 2.14/1.60 thf(f68,plain,(
% 2.14/1.60 ( ! [X13 : $i > $i > $i > $i] : ((b21 != (X13 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b21 != (X13 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a0 @ a1 @ a2))) ) | ~spl0_5),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f67])).
% 2.14/1.60 thf(f67,definition,(
% 2.14/1.60 spl0_5 <=> ! [X13 : $i > $i > $i > $i] : ((b21 != (X13 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a0 @ a1)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 2.14/1.60 thf(f125,plain,(
% 2.14/1.60 ~spl0_4),
% 2.14/1.60 inference(avatar_contradiction_clause,[status(thm)],[f124])).
% 2.14/1.60 thf(f124,plain,(
% 2.14/1.60 $false | ~spl0_4),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f123])).
% 2.14/1.60 thf(f123,plain,(
% 2.14/1.60 (b8 != b8) | ~spl0_4),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f122])).
% 2.14/1.60 thf(f122,plain,(
% 2.14/1.60 (b8 != b8) | (b8 != b8) | (b8 != b8) | (b8 != b8) | (b8 != b8) | ~spl0_4),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f121])).
% 2.14/1.60 thf(f121,plain,(
% 2.14/1.60 (b8 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b8)))))) @ a1 @ a2 @ a0)) | (b8 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b8)))))) @ a2 @ a0 @ a1)) | (b8 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b8)))))) @ a1 @ a0 @ a2)) | (b8 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b8)))))) @ a0 @ a2 @ a1)) | (b8 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b8)))))) @ a0 @ a1 @ a2)) | ~spl0_4),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f65])).
% 2.14/1.60 thf(f65,plain,(
% 2.14/1.60 ( ! [X5 : $i > $i > $i > $i] : ((b8 != (X5 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b8 != (X5 @ a0 @ a2 @ a1))) ) | ~spl0_4),
% 2.14/1.60 inference(avatar_component_clause,[status(thm)],[f64])).
% 2.14/1.60 thf(f64,definition,(
% 2.14/1.60 spl0_4 <=> ! [X5 : $i > $i > $i > $i] : ((b8 != (X5 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)))),
% 2.14/1.60 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 2.14/1.60 thf(f120,plain,(
% 2.14/1.60 spl0_4 | spl0_5 | spl0_6 | spl0_7 | spl0_8 | spl0_9 | spl0_10 | spl0_11 | spl0_12 | spl0_13 | spl0_14 | spl0_15 | spl0_16 | spl0_17 | spl0_18 | spl0_19 | spl0_20 | spl0_21 | spl0_22),
% 2.14/1.60 inference(avatar_split_clause,[status(thm)],[f62,f118,f115,f112,f109,f106,f103,f100,f97,f94,f91,f88,f85,f82,f79,f76,f73,f70,f67,f64])).
% 2.14/1.60 thf(f62,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i] : ((b7 != (X14 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a0 @ a2)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a0 @ a2)) | (b11 != (X6 @ a1 @ a0 @ a2)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a1 @ a0 @ a2)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a1 @ a0 @ a2)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a1 @ a0 @ a2)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b26 != (X3 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b3 != (X11 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f61])).
% 2.14/1.60 thf(f61,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i] : ((b16 != b16) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a1 @ a0 @ a2)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a0 @ a2)) | (b2 != (X16 @ a1 @ a0 @ a2)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a0 @ a2)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a1 @ a0 @ a2)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b24 != (X2 @ a1 @ a0 @ a2)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b0 != b0) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a1 @ a0 @ a2)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a1 @ a0 @ a2)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f60])).
% 2.14/1.60 thf(f60,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i] : ((b20 != (X8 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b16 != b16) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b16 != b16) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b0 != b0) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a0 @ a2)) | (b16 != b16) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a1 @ a0 @ a2)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a1 @ a0 @ a2)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a1 @ a0 @ a2)) | (b16 != b16) | (b4 != (X9 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b0 != b0) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b16 != b16) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b0 != b0) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b0 != b0) | (b0 != b0) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a1 @ a2))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f59])).
% 2.14/1.60 thf(f59,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i] : ((b15 != (X15 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a1 @ a0 @ a2)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a1 @ a0 @ a2)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b16 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b16)))))) @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a0 @ a2)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b0)))))) @ a2 @ a0 @ a1)) | (b0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b0)))))) @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b20 != (X8 @ a1 @ a0 @ a2)) | (b16 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b16)))))) @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b0)))))) @ a0 @ a2 @ a1)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a1 @ a0 @ a2)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a1 @ a0 @ a2)) | (b1 != (X17 @ a1 @ a0 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a0 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a1 @ a0 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b0)))))) @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a1 @ a0 @ a2)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a1 @ a0 @ a2)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a0 @ a2)) | (b16 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b16)))))) @ a2 @ a1 @ a0)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a1 @ a0 @ a2)) | (b0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b0)))))) @ a0 @ a1 @ a2)) | (b23 != (X0 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a0 @ a2)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b16 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b16)))))) @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b16 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b16)))))) @ a2 @ a0 @ a1)) | (b19 != (X18 @ a1 @ a0 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f58])).
% 2.14/1.60 thf(f58,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f57])).
% 2.14/1.60 thf(f57,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b23 != (X0 @ a2 @ a0 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b25 != b25) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b13 != b13) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0))) )),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f56])).
% 2.14/1.60 thf(f56,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b2 != (X16 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b13 != b13) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b13 != b13) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b25 != b25) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b25 != b25) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b25 != b25) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b25 != b25) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b13 != b13) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b13 != b13) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f55])).
% 2.14/1.60 thf(f55,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b2 != (X16 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a0 @ a1)) | (b8 != (X5 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a0 @ a1)) | (b20 != (X8 @ a2 @ a0 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a0 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a0 @ a1)) | (b25 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b25)))))) @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a2 @ a0 @ a1)) | (b25 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b25)))))) @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b25 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b25)))))) @ a1 @ a2 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a2 @ a0 @ a1)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a2 @ a0 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a2 @ a0 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a0 @ a1)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a2 @ a0 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a0 @ a1)) | (b4 != (X9 @ a2 @ a0 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b13 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b13)))))) @ a0 @ a1 @ a2)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a2 @ a0 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a2 @ a0 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b25 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b25)))))) @ a0 @ a1 @ a2)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b13 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b13)))))) @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b13)))))) @ a1 @ a0 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b25)))))) @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b13 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b13)))))) @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a2 @ a0 @ a1)) | (b13 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b13)))))) @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f54])).
% 2.14/1.60 thf(f54,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b13 != (X22 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f53])).
% 2.14/1.60 thf(f53,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b10 != (X12 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b5 != b5) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a0 @ a1 @ a2)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b25 != (X21 @ a2 @ a1 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b25 != (X21 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b13 != (X22 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b9 != b9)) )),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f52])).
% 2.14/1.60 thf(f52,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b7 != (X14 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b9 != b9) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b5 != b5) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b9 != b9) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ b5 @ b9 @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b9 != b9) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b5 != b5) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b5 != b5) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a0 @ a1 @ a2)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f51])).
% 2.14/1.60 thf(f51,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i] : ((b11 != (X6 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b5)))))) @ a1 @ a0 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b9)))))) @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b9 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b9)))))) @ a0 @ a2 @ a1)) | (b13 != (X22 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b5 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b5)))))) @ a1 @ a2 @ a0)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a1 @ a2)) | (b19 != (X18 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a0 @ a1 @ a2)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a0 @ a1 @ a2)) | (b5 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b5)))))) @ a0 @ a2 @ a1)) | (b9 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b9)))))) @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a1 @ a2)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b9 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b9)))))) @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a1 @ a2)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a0 @ a1 @ a2)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a0 @ a1 @ a2)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a0 @ a1 @ a2)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a1 @ a2)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a1 @ a2)) | (b3 != (X11 @ a0 @ a1 @ a2)) | (b1 != (X17 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b5)))))) @ a2 @ a0 @ a1) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b9)))))) @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b16 != (X19 @ a0 @ a1 @ a2)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a1 @ a2)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b5 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b5)))))) @ a2 @ a1 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f50])).
% 2.14/1.60 thf(f50,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a0 @ a1 @ a2) @ (X23 @ a0 @ a1 @ a2) @ (X22 @ a0 @ a1 @ a2) @ (X21 @ a0 @ a1 @ a2) @ (X20 @ a0 @ a1 @ a2) @ (X19 @ a0 @ a1 @ a2) @ (X18 @ a0 @ a1 @ a2) @ (X17 @ a0 @ a1 @ a2) @ (X16 @ a0 @ a1 @ a2) @ (X15 @ a0 @ a1 @ a2) @ (X14 @ a0 @ a1 @ a2) @ (X13 @ a0 @ a1 @ a2) @ (X12 @ a0 @ a1 @ a2) @ (X11 @ a0 @ a1 @ a2) @ (X10 @ a0 @ a1 @ a2) @ (X9 @ a0 @ a1 @ a2) @ (X8 @ a0 @ a1 @ a2) @ (X7 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X6 @ a0 @ a1 @ a2) @ a2 @ (X5 @ a0 @ a1 @ a2) @ (X4 @ a0 @ a1 @ a2) @ (X3 @ a0 @ a1 @ a2) @ (X2 @ a0 @ a1 @ a2) @ (X1 @ a0 @ a1 @ a2) @ (X0 @ a0 @ a1 @ a2))) | (b9 != (X23 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b5 != (X24 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b5 != (X24 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b5 != (X24 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a2 @ a0 @ a1) @ (X23 @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b9 != (X23 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a1 @ a0 @ a2) @ (X23 @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f49])).
% 2.14/1.60 thf(f49,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : ((b6 != (X10 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b5 != (X24 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a1 @ a0 @ a2) @ (X23 @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b5 != (X24 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b5 != (X24 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b22 != b22) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a0 @ a1 @ a2) @ (X23 @ a0 @ a1 @ a2) @ (X22 @ a0 @ a1 @ a2) @ (X21 @ a0 @ a1 @ a2) @ (X20 @ a0 @ a1 @ a2) @ (X19 @ a0 @ a1 @ a2) @ (X18 @ a0 @ a1 @ a2) @ (X17 @ a0 @ a1 @ a2) @ (X16 @ a0 @ a1 @ a2) @ (X15 @ a0 @ a1 @ a2) @ (X14 @ a0 @ a1 @ a2) @ (X13 @ a0 @ a1 @ a2) @ (X12 @ a0 @ a1 @ a2) @ (X11 @ a0 @ a1 @ a2) @ (X10 @ a0 @ a1 @ a2) @ (X9 @ a0 @ a1 @ a2) @ (X8 @ a0 @ a1 @ a2) @ (X7 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X6 @ a0 @ a1 @ a2) @ a2 @ (X5 @ a0 @ a1 @ a2) @ (X4 @ a0 @ a1 @ a2) @ (X3 @ a0 @ a1 @ a2) @ (X2 @ a0 @ a1 @ a2) @ (X1 @ a0 @ a1 @ a2) @ (X0 @ a0 @ a1 @ a2))) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a2 @ a1 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a2 @ a0 @ a1) @ (X23 @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b9 != (X23 @ a2 @ a1 @ a0)) | (b12 != b12) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f48])).
% 2.14/1.60 thf(f48,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : ((b0 != (X20 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a2 @ a1 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a0 @ a1 @ a2) @ (X23 @ a0 @ a1 @ a2) @ (X22 @ a0 @ a1 @ a2) @ (X21 @ a0 @ a1 @ a2) @ (X20 @ a0 @ a1 @ a2) @ (X19 @ a0 @ a1 @ a2) @ (X18 @ a0 @ a1 @ a2) @ (X17 @ a0 @ a1 @ a2) @ (X16 @ a0 @ a1 @ a2) @ (X15 @ a0 @ a1 @ a2) @ (X14 @ a0 @ a1 @ a2) @ (X13 @ a0 @ a1 @ a2) @ (X12 @ a0 @ a1 @ a2) @ (X11 @ a0 @ a1 @ a2) @ (X10 @ a0 @ a1 @ a2) @ (X9 @ a0 @ a1 @ a2) @ (X8 @ a0 @ a1 @ a2) @ (X7 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X6 @ a0 @ a1 @ a2) @ a2 @ (X5 @ a0 @ a1 @ a2) @ (X4 @ a0 @ a1 @ a2) @ (X3 @ a0 @ a1 @ a2) @ (X2 @ a0 @ a1 @ a2) @ (X1 @ a0 @ a1 @ a2) @ (X0 @ a0 @ a1 @ a2))) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a1 @ a0 @ a2) @ (X23 @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b22 != b22) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b12 != b12) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b5 != (X24 @ a2 @ a1 @ a0)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b5 != (X24 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b9 != (X23 @ a0 @ a2 @ a1)) | (b22 != b22) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b5 != (X24 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ b12 @ b22 @ (X24 @ a2 @ a0 @ a1) @ (X23 @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a1 @ a2 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b9 != (X23 @ a2 @ a1 @ a0)) | (b12 != b12) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f47])).
% 2.14/1.60 thf(f47,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b12)))))) @ a1 @ a0 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b22)))))) @ a1 @ a0 @ a2) @ (X24 @ a1 @ a0 @ a2) @ (X23 @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X6 @ a1 @ a0 @ a2) @ a2 @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b5 != (X24 @ a1 @ a2 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a2 @ a1 @ a0)) | (b1 != (X17 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b12)))))) @ a0 @ a1 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b22)))))) @ a0 @ a1 @ a2) @ (X24 @ a0 @ a1 @ a2) @ (X23 @ a0 @ a1 @ a2) @ (X22 @ a0 @ a1 @ a2) @ (X21 @ a0 @ a1 @ a2) @ (X20 @ a0 @ a1 @ a2) @ (X19 @ a0 @ a1 @ a2) @ (X18 @ a0 @ a1 @ a2) @ (X17 @ a0 @ a1 @ a2) @ (X16 @ a0 @ a1 @ a2) @ (X15 @ a0 @ a1 @ a2) @ (X14 @ a0 @ a1 @ a2) @ (X13 @ a0 @ a1 @ a2) @ (X12 @ a0 @ a1 @ a2) @ (X11 @ a0 @ a1 @ a2) @ (X10 @ a0 @ a1 @ a2) @ (X9 @ a0 @ a1 @ a2) @ (X8 @ a0 @ a1 @ a2) @ (X7 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X6 @ a0 @ a1 @ a2) @ a2 @ (X5 @ a0 @ a1 @ a2) @ (X4 @ a0 @ a1 @ a2) @ (X3 @ a0 @ a1 @ a2) @ (X2 @ a0 @ a1 @ a2) @ (X1 @ a0 @ a1 @ a2) @ (X0 @ a0 @ a1 @ a2))) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a1 @ a2 @ a0)) | (b6 != (X10 @ a2 @ a1 @ a0)) | (b9 != (X23 @ a2 @ a1 @ a0)) | (b2 != (X16 @ a2 @ a1 @ a0)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a1 @ a2 @ a0)) | (b24 != (X2 @ a1 @ a2 @ a0)) | (b16 != (X19 @ a1 @ a2 @ a0)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a1 @ a2 @ a0)) | (b4 != (X9 @ a2 @ a1 @ a0)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a1 @ a2 @ a0)) | (b1 != (X17 @ a2 @ a1 @ a0)) | (b24 != (X2 @ a2 @ a1 @ a0)) | (b9 != (X23 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a1 @ a2 @ a0)) | (b20 != (X8 @ a2 @ a1 @ a0)) | (b12 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b12)))))) @ a1 @ a2 @ a0)) | (b15 != (X15 @ a1 @ a2 @ a0)) | (b26 != (X3 @ a2 @ a1 @ a0)) | (b21 != (X13 @ a2 @ a1 @ a0)) | (b19 != (X18 @ a1 @ a2 @ a0)) | (b22 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b22)))))) @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b12)))))) @ a2 @ a0 @ a1) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b22)))))) @ a2 @ a0 @ a1) @ (X24 @ a2 @ a0 @ a1) @ (X23 @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X6 @ a2 @ a0 @ a1) @ a2 @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b25 != (X21 @ a1 @ a2 @ a0)) | (b12 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b12)))))) @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a1 @ a2 @ a0)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a1 @ a2 @ a0)) | (b11 != (X6 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a2 @ a1 @ a0)) | (b22 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (b22)))))) @ a1 @ a2 @ a0)) | (b4 != (X9 @ a1 @ a2 @ a0)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a2 @ a1 @ a0)) | (b5 != (X24 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a1 @ a2 @ a0)) | (b8 != (X5 @ a2 @ a1 @ a0)) | (b10 != (X12 @ a1 @ a2 @ a0)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a1 @ a2 @ a0)) | (b10 != (X12 @ a2 @ a1 @ a0)) | (b0 != (X20 @ a2 @ a1 @ a0)) | (b15 != (X15 @ a2 @ a1 @ a0)) | (b14 != (X1 @ a2 @ a1 @ a0)) | (b18 != (X4 @ a1 @ a2 @ a0)) | (b5 != (X24 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != b23) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a2 @ a1 @ a0)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a1 @ a2 @ a0)) | (b25 != (X21 @ a2 @ a1 @ a0)) | (b3 != (X11 @ a2 @ a1 @ a0)) | (b17 != (X7 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f46])).
% 2.14/1.60 thf(f46,plain,(
% 2.14/1.60 ( ! [X83 : $i > $i > $i > $i,X90 : $i > $i > $i > $i,X81 : $i > $i > $i > $i,X88 : $i > $i > $i > $i,X99 : $i > $i > $i > $i,X106 : $i > $i > $i > $i,X87 : $i > $i > $i > $i,X94 : $i > $i > $i > $i,X97 : $i > $i > $i > $i,X104 : $i > $i > $i > $i,X85 : $i > $i > $i > $i,X92 : $i > $i > $i > $i,X103 : $i > $i > $i > $i,X82 : $i > $i > $i > $i,X101 : $i > $i > $i > $i,X91 : $i > $i > $i > $i,X98 : $i > $i > $i > $i,X86 : $i > $i > $i > $i,X89 : $i > $i > $i > $i,X96 : $i > $i > $i > $i,X107 : $i > $i > $i > $i,X84 : $i > $i > $i > $i,X95 : $i > $i > $i > $i,X102 : $i > $i > $i > $i,X105 : $i > $i > $i > $i,X93 : $i > $i > $i > $i,X100 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a1 @ a0) @ (X106 @ a2 @ a1 @ a0) @ (X105 @ a2 @ a1 @ a0) @ (X104 @ a2 @ a1 @ a0) @ (X103 @ a2 @ a1 @ a0) @ (X102 @ a2 @ a1 @ a0) @ (X101 @ a2 @ a1 @ a0) @ (X100 @ a2 @ a1 @ a0) @ (X99 @ a2 @ a1 @ a0) @ (X98 @ a2 @ a1 @ a0) @ (X97 @ a2 @ a1 @ a0) @ (X96 @ a2 @ a1 @ a0) @ (X95 @ a2 @ a1 @ a0) @ (X94 @ a2 @ a1 @ a0) @ (X93 @ a2 @ a1 @ a0) @ (X92 @ a2 @ a1 @ a0) @ (X91 @ a2 @ a1 @ a0) @ (X90 @ a2 @ a1 @ a0) @ (X89 @ a2 @ a1 @ a0) @ (X88 @ a2 @ a1 @ a0) @ a1 @ a0 @ (X87 @ a2 @ a1 @ a0) @ a2 @ (X86 @ a2 @ a1 @ a0) @ (X85 @ a2 @ a1 @ a0) @ (X84 @ a2 @ a1 @ a0) @ (X83 @ a2 @ a1 @ a0) @ (X82 @ a2 @ a1 @ a0) @ (X81 @ a2 @ a1 @ a0))) | (b11 != (X87 @ a0 @ a2 @ a1)) | (b13 != (X103 @ a0 @ a2 @ a1)) | (b2 != (X97 @ a0 @ a2 @ a1)) | (b0 != (X101 @ a0 @ a2 @ a1)) | (b1 != (X98 @ a1 @ a2 @ a0)) | (b26 != (X84 @ a0 @ a2 @ a1)) | (b23 != (X81 @ a0 @ a2 @ a1)) | (b22 != (X106 @ a0 @ a2 @ a1)) | (b21 != (X94 @ a0 @ a2 @ a1)) | (b9 != (X104 @ a1 @ a2 @ a0)) | (b21 != (X94 @ a1 @ a2 @ a0)) | (b15 != (X96 @ a1 @ a2 @ a0)) | (b20 != (X89 @ a1 @ a2 @ a0)) | (b17 != (X88 @ a0 @ a2 @ a1)) | (b15 != (X96 @ a0 @ a2 @ a1)) | (b11 != (X87 @ a1 @ a2 @ a0)) | (b1 != (X98 @ a0 @ a2 @ a1)) | (b10 != (X93 @ a0 @ a2 @ a1)) | (b14 != (X82 @ a1 @ a2 @ a0)) | (b22 != (X106 @ a1 @ a2 @ a0)) | (b19 != (X99 @ a0 @ a2 @ a1)) | (b5 != (X105 @ a1 @ a2 @ a0)) | (b8 != (X86 @ a0 @ a2 @ a1)) | (b3 != (X92 @ a0 @ a2 @ a1)) | (b6 != (X91 @ a1 @ a2 @ a0)) | (b4 != (X90 @ a1 @ a2 @ a0)) | (b10 != (X93 @ a1 @ a2 @ a0)) | (b4 != (X90 @ a0 @ a2 @ a1)) | (b24 != (X83 @ a1 @ a2 @ a0)) | (b18 != (X85 @ a0 @ a2 @ a1)) | (b6 != (X91 @ a0 @ a2 @ a1)) | (b13 != (X103 @ a1 @ a2 @ a0)) | (b20 != (X89 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a1 @ a0 @ a2) @ (X106 @ a1 @ a0 @ a2) @ (X105 @ a1 @ a0 @ a2) @ (X104 @ a1 @ a0 @ a2) @ (X103 @ a1 @ a0 @ a2) @ (X102 @ a1 @ a0 @ a2) @ (X101 @ a1 @ a0 @ a2) @ (X100 @ a1 @ a0 @ a2) @ (X99 @ a1 @ a0 @ a2) @ (X98 @ a1 @ a0 @ a2) @ (X97 @ a1 @ a0 @ a2) @ (X96 @ a1 @ a0 @ a2) @ (X95 @ a1 @ a0 @ a2) @ (X94 @ a1 @ a0 @ a2) @ (X93 @ a1 @ a0 @ a2) @ (X92 @ a1 @ a0 @ a2) @ (X91 @ a1 @ a0 @ a2) @ (X90 @ a1 @ a0 @ a2) @ (X89 @ a1 @ a0 @ a2) @ (X88 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X87 @ a1 @ a0 @ a2) @ a2 @ (X86 @ a1 @ a0 @ a2) @ (X85 @ a1 @ a0 @ a2) @ (X84 @ a1 @ a0 @ a2) @ (X83 @ a1 @ a0 @ a2) @ (X82 @ a1 @ a0 @ a2) @ (X81 @ a1 @ a0 @ a2))) | (b12 != (X107 @ a0 @ a2 @ a1)) | (b24 != (X83 @ a0 @ a2 @ a1)) | (b8 != (X86 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a0 @ a1 @ a2) @ (X106 @ a0 @ a1 @ a2) @ (X105 @ a0 @ a1 @ a2) @ (X104 @ a0 @ a1 @ a2) @ (X103 @ a0 @ a1 @ a2) @ (X102 @ a0 @ a1 @ a2) @ (X101 @ a0 @ a1 @ a2) @ (X100 @ a0 @ a1 @ a2) @ (X99 @ a0 @ a1 @ a2) @ (X98 @ a0 @ a1 @ a2) @ (X97 @ a0 @ a1 @ a2) @ (X96 @ a0 @ a1 @ a2) @ (X95 @ a0 @ a1 @ a2) @ (X94 @ a0 @ a1 @ a2) @ (X93 @ a0 @ a1 @ a2) @ (X92 @ a0 @ a1 @ a2) @ (X91 @ a0 @ a1 @ a2) @ (X90 @ a0 @ a1 @ a2) @ (X89 @ a0 @ a1 @ a2) @ (X88 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X87 @ a0 @ a1 @ a2) @ a2 @ (X86 @ a0 @ a1 @ a2) @ (X85 @ a0 @ a1 @ a2) @ (X84 @ a0 @ a1 @ a2) @ (X83 @ a0 @ a1 @ a2) @ (X82 @ a0 @ a1 @ a2) @ (X81 @ a0 @ a1 @ a2))) | (b7 != (X95 @ a1 @ a2 @ a0)) | (b9 != (X104 @ a0 @ a2 @ a1)) | (b25 != (X102 @ a0 @ a2 @ a1)) | (b19 != (X99 @ a1 @ a2 @ a0)) | (b16 != (X100 @ a0 @ a2 @ a1)) | (b16 != (X100 @ a1 @ a2 @ a0)) | (b18 != (X85 @ a1 @ a2 @ a0)) | (b3 != (X92 @ a1 @ a2 @ a0)) | (b12 != (X107 @ a1 @ a2 @ a0)) | (b0 != (X101 @ a1 @ a2 @ a0)) | (b14 != (X82 @ a0 @ a2 @ a1)) | (b7 != (X95 @ a0 @ a2 @ a1)) | (b5 != (X105 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a0 @ a1) @ (X106 @ a2 @ a0 @ a1) @ (X105 @ a2 @ a0 @ a1) @ (X104 @ a2 @ a0 @ a1) @ (X103 @ a2 @ a0 @ a1) @ (X102 @ a2 @ a0 @ a1) @ (X101 @ a2 @ a0 @ a1) @ (X100 @ a2 @ a0 @ a1) @ (X99 @ a2 @ a0 @ a1) @ (X98 @ a2 @ a0 @ a1) @ (X97 @ a2 @ a0 @ a1) @ (X96 @ a2 @ a0 @ a1) @ (X95 @ a2 @ a0 @ a1) @ (X94 @ a2 @ a0 @ a1) @ (X93 @ a2 @ a0 @ a1) @ (X92 @ a2 @ a0 @ a1) @ (X91 @ a2 @ a0 @ a1) @ (X90 @ a2 @ a0 @ a1) @ (X89 @ a2 @ a0 @ a1) @ (X88 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X87 @ a2 @ a0 @ a1) @ a2 @ (X86 @ a2 @ a0 @ a1) @ (X85 @ a2 @ a0 @ a1) @ (X84 @ a2 @ a0 @ a1) @ (X83 @ a2 @ a0 @ a1) @ (X82 @ a2 @ a0 @ a1) @ (X81 @ a2 @ a0 @ a1))) | (b2 != (X97 @ a1 @ a2 @ a0)) | (b23 != (X81 @ a1 @ a2 @ a0)) | (b26 != (X84 @ a1 @ a2 @ a0)) | (b17 != (X88 @ a1 @ a2 @ a0)) | (b25 != (X102 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(trivial_inequality_removal,[status(thm)],[f45])).
% 2.14/1.60 thf(f45,plain,(
% 2.14/1.60 ( ! [X83 : $i > $i > $i > $i,X90 : $i > $i > $i > $i,X81 : $i > $i > $i > $i,X88 : $i > $i > $i > $i,X99 : $i > $i > $i > $i,X106 : $i > $i > $i > $i,X87 : $i > $i > $i > $i,X94 : $i > $i > $i > $i,X97 : $i > $i > $i > $i,X104 : $i > $i > $i > $i,X85 : $i > $i > $i > $i,X92 : $i > $i > $i > $i,X103 : $i > $i > $i > $i,X82 : $i > $i > $i > $i,X101 : $i > $i > $i > $i,X91 : $i > $i > $i > $i,X98 : $i > $i > $i > $i,X86 : $i > $i > $i > $i,X89 : $i > $i > $i > $i,X96 : $i > $i > $i > $i,X107 : $i > $i > $i > $i,X84 : $i > $i > $i > $i,X95 : $i > $i > $i > $i,X102 : $i > $i > $i > $i,X105 : $i > $i > $i > $i,X93 : $i > $i > $i > $i,X100 : $i > $i > $i > $i] : ((b26 != (X84 @ a1 @ a2 @ a0)) | (b18 != (X85 @ a1 @ a2 @ a0)) | (b16 != (X100 @ a1 @ a2 @ a0)) | (b4 != (X90 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a0 @ a1) @ (X106 @ a2 @ a0 @ a1) @ (X105 @ a2 @ a0 @ a1) @ (X104 @ a2 @ a0 @ a1) @ (X103 @ a2 @ a0 @ a1) @ (X102 @ a2 @ a0 @ a1) @ (X101 @ a2 @ a0 @ a1) @ (X100 @ a2 @ a0 @ a1) @ (X99 @ a2 @ a0 @ a1) @ (X98 @ a2 @ a0 @ a1) @ (X97 @ a2 @ a0 @ a1) @ (X96 @ a2 @ a0 @ a1) @ (X95 @ a2 @ a0 @ a1) @ (X94 @ a2 @ a0 @ a1) @ (X93 @ a2 @ a0 @ a1) @ (X92 @ a2 @ a0 @ a1) @ (X91 @ a2 @ a0 @ a1) @ (X90 @ a2 @ a0 @ a1) @ (X89 @ a2 @ a0 @ a1) @ (X88 @ a2 @ a0 @ a1) @ a0 @ a0 @ (X87 @ a2 @ a0 @ a1) @ a2 @ (X86 @ a2 @ a0 @ a1) @ (X85 @ a2 @ a0 @ a1) @ (X84 @ a2 @ a0 @ a1) @ (X83 @ a2 @ a0 @ a1) @ (X82 @ a2 @ a0 @ a1) @ (X81 @ a2 @ a0 @ a1))) | (b19 != (X99 @ a1 @ a2 @ a0)) | (b12 != (X107 @ a0 @ a2 @ a1)) | (b21 != (X94 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a1 @ a0 @ a2) @ (X106 @ a1 @ a0 @ a2) @ (X105 @ a1 @ a0 @ a2) @ (X104 @ a1 @ a0 @ a2) @ (X103 @ a1 @ a0 @ a2) @ (X102 @ a1 @ a0 @ a2) @ (X101 @ a1 @ a0 @ a2) @ (X100 @ a1 @ a0 @ a2) @ (X99 @ a1 @ a0 @ a2) @ (X98 @ a1 @ a0 @ a2) @ (X97 @ a1 @ a0 @ a2) @ (X96 @ a1 @ a0 @ a2) @ (X95 @ a1 @ a0 @ a2) @ (X94 @ a1 @ a0 @ a2) @ (X93 @ a1 @ a0 @ a2) @ (X92 @ a1 @ a0 @ a2) @ (X91 @ a1 @ a0 @ a2) @ (X90 @ a1 @ a0 @ a2) @ (X89 @ a1 @ a0 @ a2) @ (X88 @ a1 @ a0 @ a2) @ a0 @ a0 @ (X87 @ a1 @ a0 @ a2) @ a2 @ (X86 @ a1 @ a0 @ a2) @ (X85 @ a1 @ a0 @ a2) @ (X84 @ a1 @ a0 @ a2) @ (X83 @ a1 @ a0 @ a2) @ (X82 @ a1 @ a0 @ a2) @ (X81 @ a1 @ a0 @ a2))) | (b20 != (X89 @ a1 @ a2 @ a0)) | (b6 != (X91 @ a1 @ a2 @ a0)) | (b13 != (X103 @ a1 @ a2 @ a0)) | (b8 != (X86 @ a1 @ a2 @ a0)) | (b8 != (X86 @ a0 @ a2 @ a1)) | (b14 != (X82 @ a0 @ a2 @ a1)) | (b2 != (X97 @ a0 @ a2 @ a1)) | (b11 != (X87 @ a0 @ a2 @ a1)) | (b25 != (X102 @ a1 @ a2 @ a0)) | (b9 != (X104 @ a0 @ a2 @ a1)) | (b23 != (X81 @ a1 @ a2 @ a0)) | (b22 != (X106 @ a1 @ a2 @ a0)) | (b0 != (X101 @ a0 @ a2 @ a1)) | (b21 != (X94 @ a0 @ a2 @ a1)) | (b0 != (X101 @ a1 @ a2 @ a0)) | (b11 != (X87 @ a1 @ a2 @ a0)) | (b9 != (X104 @ a1 @ a2 @ a0)) | (b6 != (X91 @ a0 @ a2 @ a1)) | (b25 != (X102 @ a0 @ a2 @ a1)) | (b24 != (X83 @ a0 @ a2 @ a1)) | (b10 != (X93 @ a0 @ a2 @ a1)) | (b7 != (X95 @ a0 @ a2 @ a1)) | (a2 != a2) | (b18 != (X85 @ a0 @ a2 @ a1)) | (b12 != (X107 @ a1 @ a2 @ a0)) | (b24 != (X83 @ a1 @ a2 @ a0)) | (b15 != (X96 @ a0 @ a2 @ a1)) | (b1 != (X98 @ a0 @ a2 @ a1)) | (b19 != (X99 @ a0 @ a2 @ a1)) | (a0 != a0) | (b22 != (X106 @ a0 @ a2 @ a1)) | (b10 != (X93 @ a1 @ a2 @ a0)) | (b7 != (X95 @ a1 @ a2 @ a0)) | (b2 != (X97 @ a1 @ a2 @ a0)) | (b5 != (X105 @ a0 @ a2 @ a1)) | (b16 != (X100 @ a0 @ a2 @ a1)) | (b14 != (X82 @ a1 @ a2 @ a0)) | (b17 != (X88 @ a1 @ a2 @ a0)) | (b23 != (X81 @ a0 @ a2 @ a1)) | (b13 != (X103 @ a0 @ a2 @ a1)) | (b1 != (X98 @ a1 @ a2 @ a0)) | (b20 != (X89 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a0 @ a1 @ a2) @ (X106 @ a0 @ a1 @ a2) @ (X105 @ a0 @ a1 @ a2) @ (X104 @ a0 @ a1 @ a2) @ (X103 @ a0 @ a1 @ a2) @ (X102 @ a0 @ a1 @ a2) @ (X101 @ a0 @ a1 @ a2) @ (X100 @ a0 @ a1 @ a2) @ (X99 @ a0 @ a1 @ a2) @ (X98 @ a0 @ a1 @ a2) @ (X97 @ a0 @ a1 @ a2) @ (X96 @ a0 @ a1 @ a2) @ (X95 @ a0 @ a1 @ a2) @ (X94 @ a0 @ a1 @ a2) @ (X93 @ a0 @ a1 @ a2) @ (X92 @ a0 @ a1 @ a2) @ (X91 @ a0 @ a1 @ a2) @ (X90 @ a0 @ a1 @ a2) @ (X89 @ a0 @ a1 @ a2) @ (X88 @ a0 @ a1 @ a2) @ a1 @ a0 @ (X87 @ a0 @ a1 @ a2) @ a2 @ (X86 @ a0 @ a1 @ a2) @ (X85 @ a0 @ a1 @ a2) @ (X84 @ a0 @ a1 @ a2) @ (X83 @ a0 @ a1 @ a2) @ (X82 @ a0 @ a1 @ a2) @ (X81 @ a0 @ a1 @ a2))) | (b26 != (X84 @ a0 @ a2 @ a1)) | (b4 != (X90 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a1 @ a0) @ (X106 @ a2 @ a1 @ a0) @ (X105 @ a2 @ a1 @ a0) @ (X104 @ a2 @ a1 @ a0) @ (X103 @ a2 @ a1 @ a0) @ (X102 @ a2 @ a1 @ a0) @ (X101 @ a2 @ a1 @ a0) @ (X100 @ a2 @ a1 @ a0) @ (X99 @ a2 @ a1 @ a0) @ (X98 @ a2 @ a1 @ a0) @ (X97 @ a2 @ a1 @ a0) @ (X96 @ a2 @ a1 @ a0) @ (X95 @ a2 @ a1 @ a0) @ (X94 @ a2 @ a1 @ a0) @ (X93 @ a2 @ a1 @ a0) @ (X92 @ a2 @ a1 @ a0) @ (X91 @ a2 @ a1 @ a0) @ (X90 @ a2 @ a1 @ a0) @ (X89 @ a2 @ a1 @ a0) @ (X88 @ a2 @ a1 @ a0) @ a1 @ a0 @ (X87 @ a2 @ a1 @ a0) @ a2 @ (X86 @ a2 @ a1 @ a0) @ (X85 @ a2 @ a1 @ a0) @ (X84 @ a2 @ a1 @ a0) @ (X83 @ a2 @ a1 @ a0) @ (X82 @ a2 @ a1 @ a0) @ (X81 @ a2 @ a1 @ a0))) | (b3 != (X92 @ a0 @ a2 @ a1)) | (b17 != (X88 @ a0 @ a2 @ a1)) | (b15 != (X96 @ a1 @ a2 @ a0)) | (b3 != (X92 @ a1 @ a2 @ a0)) | (b5 != (X105 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f38])).
% 2.14/1.60 thf(f38,plain,(
% 2.14/1.60 ( ! [X83 : $i > $i > $i > $i,X90 : $i > $i > $i > $i,X81 : $i > $i > $i > $i,X88 : $i > $i > $i > $i,X99 : $i > $i > $i > $i,X106 : $i > $i > $i > $i,X87 : $i > $i > $i > $i,X94 : $i > $i > $i > $i,X97 : $i > $i > $i > $i,X104 : $i > $i > $i > $i,X85 : $i > $i > $i > $i,X92 : $i > $i > $i > $i,X103 : $i > $i > $i > $i,X82 : $i > $i > $i > $i,X101 : $i > $i > $i > $i,X91 : $i > $i > $i > $i,X98 : $i > $i > $i > $i,X86 : $i > $i > $i > $i,X89 : $i > $i > $i > $i,X96 : $i > $i > $i > $i,X107 : $i > $i > $i > $i,X84 : $i > $i > $i > $i,X95 : $i > $i > $i > $i,X102 : $i > $i > $i > $i,X105 : $i > $i > $i > $i,X93 : $i > $i > $i > $i,X100 : $i > $i > $i > $i] : ((b15 != (X96 @ a1 @ a2 @ a0)) | (b0 != (X101 @ a1 @ a2 @ a0)) | (b22 != (X106 @ a1 @ a2 @ a0)) | (b10 != (X93 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a0 @ a1) @ (X106 @ a2 @ a0 @ a1) @ (X105 @ a2 @ a0 @ a1) @ (X104 @ a2 @ a0 @ a1) @ (X103 @ a2 @ a0 @ a1) @ (X102 @ a2 @ a0 @ a1) @ (X101 @ a2 @ a0 @ a1) @ (X100 @ a2 @ a0 @ a1) @ (X99 @ a2 @ a0 @ a1) @ (X98 @ a2 @ a0 @ a1) @ (X97 @ a2 @ a0 @ a1) @ (X96 @ a2 @ a0 @ a1) @ (X95 @ a2 @ a0 @ a1) @ (X94 @ a2 @ a0 @ a1) @ (X93 @ a2 @ a0 @ a1) @ (X92 @ a2 @ a0 @ a1) @ (X91 @ a2 @ a0 @ a1) @ (X90 @ a2 @ a0 @ a1) @ (X89 @ a2 @ a0 @ a1) @ (X88 @ a2 @ a0 @ a1) @ a0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a0)))))) @ a2 @ a0 @ a1) @ (X87 @ a2 @ a0 @ a1) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a2)))))) @ a2 @ a0 @ a1) @ (X86 @ a2 @ a0 @ a1) @ (X85 @ a2 @ a0 @ a1) @ (X84 @ a2 @ a0 @ a1) @ (X83 @ a2 @ a0 @ a1) @ (X82 @ a2 @ a0 @ a1) @ (X81 @ a2 @ a0 @ a1))) | (b0 != (X101 @ a0 @ a2 @ a1)) | (b1 != (X98 @ a1 @ a2 @ a0)) | (b11 != (X87 @ a1 @ a2 @ a0)) | (b25 != (X102 @ a1 @ a2 @ a0)) | (b19 != (X99 @ a1 @ a2 @ a0)) | (a0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a0)))))) @ a0 @ a2 @ a1)) | (b5 != (X105 @ a1 @ a2 @ a0)) | (b7 != (X95 @ a0 @ a2 @ a1)) | (b26 != (X84 @ a0 @ a2 @ a1)) | (b23 != (X81 @ a1 @ a2 @ a0)) | (b16 != (X100 @ a0 @ a2 @ a1)) | (b2 != (X97 @ a0 @ a2 @ a1)) | (b4 != (X90 @ a1 @ a2 @ a0)) | (b15 != (X96 @ a0 @ a2 @ a1)) | (b3 != (X92 @ a0 @ a2 @ a1)) | (b9 != (X104 @ a1 @ a2 @ a0)) | (b21 != (X94 @ a1 @ a2 @ a0)) | (b24 != (X83 @ a0 @ a2 @ a1)) | (b1 != (X98 @ a0 @ a2 @ a1)) | (b8 != (X86 @ a1 @ a2 @ a0)) | (b24 != (X83 @ a1 @ a2 @ a0)) | (b17 != (X88 @ a1 @ a2 @ a0)) | (b25 != (X102 @ a0 @ a2 @ a1)) | (b14 != (X82 @ a0 @ a2 @ a1)) | (b23 != (X81 @ a0 @ a2 @ a1)) | (b22 != (X106 @ a0 @ a2 @ a1)) | (b2 != (X97 @ a1 @ a2 @ a0)) | (b13 != (X103 @ a1 @ a2 @ a0)) | (b7 != (X95 @ a1 @ a2 @ a0)) | (b13 != (X103 @ a0 @ a2 @ a1)) | (b9 != (X104 @ a0 @ a2 @ a1)) | (b26 != (X84 @ a1 @ a2 @ a0)) | (a2 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a2)))))) @ a0 @ a2 @ a1)) | (b19 != (X99 @ a0 @ a2 @ a1)) | (b6 != (X91 @ a1 @ a2 @ a0)) | (b18 != (X85 @ a0 @ a2 @ a1)) | (b5 != (X105 @ a0 @ a2 @ a1)) | (b11 != (X87 @ a0 @ a2 @ a1)) | (b14 != (X82 @ a1 @ a2 @ a0)) | (b20 != (X89 @ a0 @ a2 @ a1)) | (b8 != (X86 @ a0 @ a2 @ a1)) | (b4 != (X90 @ a0 @ a2 @ a1)) | (b17 != (X88 @ a0 @ a2 @ a1)) | (b3 != (X92 @ a1 @ a2 @ a0)) | (b10 != (X93 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a1 @ a0 @ a2) @ (X106 @ a1 @ a0 @ a2) @ (X105 @ a1 @ a0 @ a2) @ (X104 @ a1 @ a0 @ a2) @ (X103 @ a1 @ a0 @ a2) @ (X102 @ a1 @ a0 @ a2) @ (X101 @ a1 @ a0 @ a2) @ (X100 @ a1 @ a0 @ a2) @ (X99 @ a1 @ a0 @ a2) @ (X98 @ a1 @ a0 @ a2) @ (X97 @ a1 @ a0 @ a2) @ (X96 @ a1 @ a0 @ a2) @ (X95 @ a1 @ a0 @ a2) @ (X94 @ a1 @ a0 @ a2) @ (X93 @ a1 @ a0 @ a2) @ (X92 @ a1 @ a0 @ a2) @ (X91 @ a1 @ a0 @ a2) @ (X90 @ a1 @ a0 @ a2) @ (X89 @ a1 @ a0 @ a2) @ (X88 @ a1 @ a0 @ a2) @ a0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a0)))))) @ a1 @ a0 @ a2) @ (X87 @ a1 @ a0 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a2)))))) @ a1 @ a0 @ a2) @ (X86 @ a1 @ a0 @ a2) @ (X85 @ a1 @ a0 @ a2) @ (X84 @ a1 @ a0 @ a2) @ (X83 @ a1 @ a0 @ a2) @ (X82 @ a1 @ a0 @ a2) @ (X81 @ a1 @ a0 @ a2))) | (b12 != (X107 @ a0 @ a2 @ a1)) | (b20 != (X89 @ a1 @ a2 @ a0)) | (b16 != (X100 @ a1 @ a2 @ a0)) | (b6 != (X91 @ a0 @ a2 @ a1)) | (b21 != (X94 @ a0 @ a2 @ a1)) | (b12 != (X107 @ a1 @ a2 @ a0)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a0 @ a1 @ a2) @ (X106 @ a0 @ a1 @ a2) @ (X105 @ a0 @ a1 @ a2) @ (X104 @ a0 @ a1 @ a2) @ (X103 @ a0 @ a1 @ a2) @ (X102 @ a0 @ a1 @ a2) @ (X101 @ a0 @ a1 @ a2) @ (X100 @ a0 @ a1 @ a2) @ (X99 @ a0 @ a1 @ a2) @ (X98 @ a0 @ a1 @ a2) @ (X97 @ a0 @ a1 @ a2) @ (X96 @ a0 @ a1 @ a2) @ (X95 @ a0 @ a1 @ a2) @ (X94 @ a0 @ a1 @ a2) @ (X93 @ a0 @ a1 @ a2) @ (X92 @ a0 @ a1 @ a2) @ (X91 @ a0 @ a1 @ a2) @ (X90 @ a0 @ a1 @ a2) @ (X89 @ a0 @ a1 @ a2) @ (X88 @ a0 @ a1 @ a2) @ a1 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a0)))))) @ a0 @ a1 @ a2) @ (X87 @ a0 @ a1 @ a2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a2)))))) @ a0 @ a1 @ a2) @ (X86 @ a0 @ a1 @ a2) @ (X85 @ a0 @ a1 @ a2) @ (X84 @ a0 @ a1 @ a2) @ (X83 @ a0 @ a1 @ a2) @ (X82 @ a0 @ a1 @ a2) @ (X81 @ a0 @ a1 @ a2))) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X107 @ a2 @ a1 @ a0) @ (X106 @ a2 @ a1 @ a0) @ (X105 @ a2 @ a1 @ a0) @ (X104 @ a2 @ a1 @ a0) @ (X103 @ a2 @ a1 @ a0) @ (X102 @ a2 @ a1 @ a0) @ (X101 @ a2 @ a1 @ a0) @ (X100 @ a2 @ a1 @ a0) @ (X99 @ a2 @ a1 @ a0) @ (X98 @ a2 @ a1 @ a0) @ (X97 @ a2 @ a1 @ a0) @ (X96 @ a2 @ a1 @ a0) @ (X95 @ a2 @ a1 @ a0) @ (X94 @ a2 @ a1 @ a0) @ (X93 @ a2 @ a1 @ a0) @ (X92 @ a2 @ a1 @ a0) @ (X91 @ a2 @ a1 @ a0) @ (X90 @ a2 @ a1 @ a0) @ (X89 @ a2 @ a1 @ a0) @ (X88 @ a2 @ a1 @ a0) @ a1 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a0)))))) @ a2 @ a1 @ a0) @ (X87 @ a2 @ a1 @ a0) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (a2)))))) @ a2 @ a1 @ a0) @ (X86 @ a2 @ a1 @ a0) @ (X85 @ a2 @ a1 @ a0) @ (X84 @ a2 @ a1 @ a0) @ (X83 @ a2 @ a1 @ a0) @ (X82 @ a2 @ a1 @ a0) @ (X81 @ a2 @ a1 @ a0))) | (b18 != (X85 @ a1 @ a2 @ a0))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f10])).
% 2.14/1.60 thf(f10,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X28 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X27 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X25 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X26 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X26 @ a1 @ a2 @ a0) @ (X25 @ a1 @ a2 @ a0) @ (X24 @ a1 @ a2 @ a0) @ (X23 @ a1 @ a2 @ a0) @ (X22 @ a1 @ a2 @ a0) @ (X21 @ a1 @ a2 @ a0) @ (X20 @ a1 @ a2 @ a0) @ (X19 @ a1 @ a2 @ a0) @ (X18 @ a1 @ a2 @ a0) @ (X17 @ a1 @ a2 @ a0) @ (X16 @ a1 @ a2 @ a0) @ (X15 @ a1 @ a2 @ a0) @ (X14 @ a1 @ a2 @ a0) @ (X13 @ a1 @ a2 @ a0) @ (X12 @ a1 @ a2 @ a0) @ (X11 @ a1 @ a2 @ a0) @ (X10 @ a1 @ a2 @ a0) @ (X9 @ a1 @ a2 @ a0) @ (X8 @ a1 @ a2 @ a0) @ (X7 @ a1 @ a2 @ a0) @ a2 @ (X27 @ a1 @ a2 @ a0) @ (X6 @ a1 @ a2 @ a0) @ (X28 @ a1 @ a2 @ a0) @ (X5 @ a1 @ a2 @ a0) @ (X4 @ a1 @ a2 @ a0) @ (X3 @ a1 @ a2 @ a0) @ (X2 @ a1 @ a2 @ a0) @ (X1 @ a1 @ a2 @ a0) @ (X0 @ a1 @ a2 @ a0))) | (b22 != (X25 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b5 != (X24 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b12 != (X26 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (a0 != (X27 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a0 @ a2 @ a1)) | (b11 != (X6 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X26 @ a1 @ a0 @ a2) @ (X25 @ a1 @ a0 @ a2) @ (X24 @ a1 @ a0 @ a2) @ (X23 @ a1 @ a0 @ a2) @ (X22 @ a1 @ a0 @ a2) @ (X21 @ a1 @ a0 @ a2) @ (X20 @ a1 @ a0 @ a2) @ (X19 @ a1 @ a0 @ a2) @ (X18 @ a1 @ a0 @ a2) @ (X17 @ a1 @ a0 @ a2) @ (X16 @ a1 @ a0 @ a2) @ (X15 @ a1 @ a0 @ a2) @ (X14 @ a1 @ a0 @ a2) @ (X13 @ a1 @ a0 @ a2) @ (X12 @ a1 @ a0 @ a2) @ (X11 @ a1 @ a0 @ a2) @ (X10 @ a1 @ a0 @ a2) @ (X9 @ a1 @ a0 @ a2) @ (X8 @ a1 @ a0 @ a2) @ (X7 @ a1 @ a0 @ a2) @ a0 @ (X27 @ a1 @ a0 @ a2) @ (X6 @ a1 @ a0 @ a2) @ (X28 @ a1 @ a0 @ a2) @ (X5 @ a1 @ a0 @ a2) @ (X4 @ a1 @ a0 @ a2) @ (X3 @ a1 @ a0 @ a2) @ (X2 @ a1 @ a0 @ a2) @ (X1 @ a1 @ a0 @ a2) @ (X0 @ a1 @ a0 @ a2))) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b24 != (X2 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X26 @ a0 @ a1 @ a2) @ (X25 @ a0 @ a1 @ a2) @ (X24 @ a0 @ a1 @ a2) @ (X23 @ a0 @ a1 @ a2) @ (X22 @ a0 @ a1 @ a2) @ (X21 @ a0 @ a1 @ a2) @ (X20 @ a0 @ a1 @ a2) @ (X19 @ a0 @ a1 @ a2) @ (X18 @ a0 @ a1 @ a2) @ (X17 @ a0 @ a1 @ a2) @ (X16 @ a0 @ a1 @ a2) @ (X15 @ a0 @ a1 @ a2) @ (X14 @ a0 @ a1 @ a2) @ (X13 @ a0 @ a1 @ a2) @ (X12 @ a0 @ a1 @ a2) @ (X11 @ a0 @ a1 @ a2) @ (X10 @ a0 @ a1 @ a2) @ (X9 @ a0 @ a1 @ a2) @ (X8 @ a0 @ a1 @ a2) @ (X7 @ a0 @ a1 @ a2) @ a1 @ (X27 @ a0 @ a1 @ a2) @ (X6 @ a0 @ a1 @ a2) @ (X28 @ a0 @ a1 @ a2) @ (X5 @ a0 @ a1 @ a2) @ (X4 @ a0 @ a1 @ a2) @ (X3 @ a0 @ a1 @ a2) @ (X2 @ a0 @ a1 @ a2) @ (X1 @ a0 @ a1 @ a2) @ (X0 @ a0 @ a1 @ a2))) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X26 @ a2 @ a0 @ a1) @ (X25 @ a2 @ a0 @ a1) @ (X24 @ a2 @ a0 @ a1) @ (X23 @ a2 @ a0 @ a1) @ (X22 @ a2 @ a0 @ a1) @ (X21 @ a2 @ a0 @ a1) @ (X20 @ a2 @ a0 @ a1) @ (X19 @ a2 @ a0 @ a1) @ (X18 @ a2 @ a0 @ a1) @ (X17 @ a2 @ a0 @ a1) @ (X16 @ a2 @ a0 @ a1) @ (X15 @ a2 @ a0 @ a1) @ (X14 @ a2 @ a0 @ a1) @ (X13 @ a2 @ a0 @ a1) @ (X12 @ a2 @ a0 @ a1) @ (X11 @ a2 @ a0 @ a1) @ (X10 @ a2 @ a0 @ a1) @ (X9 @ a2 @ a0 @ a1) @ (X8 @ a2 @ a0 @ a1) @ (X7 @ a2 @ a0 @ a1) @ a0 @ (X27 @ a2 @ a0 @ a1) @ (X6 @ a2 @ a0 @ a1) @ (X28 @ a2 @ a0 @ a1) @ (X5 @ a2 @ a0 @ a1) @ (X4 @ a2 @ a0 @ a1) @ (X3 @ a2 @ a0 @ a1) @ (X2 @ a2 @ a0 @ a1) @ (X1 @ a2 @ a0 @ a1) @ (X0 @ a2 @ a0 @ a1))) | (b4 != (X9 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (f @ (X26 @ a2 @ a1 @ a0) @ (X25 @ a2 @ a1 @ a0) @ (X24 @ a2 @ a1 @ a0) @ (X23 @ a2 @ a1 @ a0) @ (X22 @ a2 @ a1 @ a0) @ (X21 @ a2 @ a1 @ a0) @ (X20 @ a2 @ a1 @ a0) @ (X19 @ a2 @ a1 @ a0) @ (X18 @ a2 @ a1 @ a0) @ (X17 @ a2 @ a1 @ a0) @ (X16 @ a2 @ a1 @ a0) @ (X15 @ a2 @ a1 @ a0) @ (X14 @ a2 @ a1 @ a0) @ (X13 @ a2 @ a1 @ a0) @ (X12 @ a2 @ a1 @ a0) @ (X11 @ a2 @ a1 @ a0) @ (X10 @ a2 @ a1 @ a0) @ (X9 @ a2 @ a1 @ a0) @ (X8 @ a2 @ a1 @ a0) @ (X7 @ a2 @ a1 @ a0) @ a1 @ (X27 @ a2 @ a1 @ a0) @ (X6 @ a2 @ a1 @ a0) @ (X28 @ a2 @ a1 @ a0) @ (X5 @ a2 @ a1 @ a0) @ (X4 @ a2 @ a1 @ a0) @ (X3 @ a2 @ a1 @ a0) @ (X2 @ a2 @ a1 @ a0) @ (X1 @ a2 @ a1 @ a0) @ (X0 @ a2 @ a1 @ a0))) | (a2 != (X28 @ a0 @ a2 @ a1))) )),
% 2.14/1.60 inference(beta_eta_normalization,[status(thm)],[f7])).
% 2.14/1.60 thf(f7,plain,(
% 2.14/1.60 ( ! [X2 : $i > $i > $i > $i,X21 : $i > $i > $i > $i,X28 : $i > $i > $i > $i,X0 : $i > $i > $i > $i,X11 : $i > $i > $i > $i,X18 : $i > $i > $i > $i,X6 : $i > $i > $i > $i,X9 : $i > $i > $i > $i,X16 : $i > $i > $i > $i,X27 : $i > $i > $i > $i,X4 : $i > $i > $i > $i,X15 : $i > $i > $i > $i,X22 : $i > $i > $i > $i,X25 : $i > $i > $i > $i,X13 : $i > $i > $i > $i,X20 : $i > $i > $i > $i,X3 : $i > $i > $i > $i,X10 : $i > $i > $i > $i,X1 : $i > $i > $i > $i,X8 : $i > $i > $i > $i,X19 : $i > $i > $i > $i,X26 : $i > $i > $i > $i,X7 : $i > $i > $i > $i,X14 : $i > $i > $i > $i,X17 : $i > $i > $i > $i,X24 : $i > $i > $i > $i,X5 : $i > $i > $i > $i,X12 : $i > $i > $i > $i,X23 : $i > $i > $i > $i] : ((b24 != (X2 @ a0 @ a2 @ a1)) | (b2 != (X16 @ a0 @ a2 @ a1)) | (b12 != (X26 @ a0 @ a2 @ a1)) | (b14 != (X1 @ a0 @ a2 @ a1)) | (a0 != (X27 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (f @ (X26 @ Y0 @ Y1 @ Y2) @ (X25 @ Y0 @ Y1 @ Y2) @ (X24 @ Y0 @ Y1 @ Y2) @ (X23 @ Y0 @ Y1 @ Y2) @ (X22 @ Y0 @ Y1 @ Y2) @ (X21 @ Y0 @ Y1 @ Y2) @ (X20 @ Y0 @ Y1 @ Y2) @ (X19 @ Y0 @ Y1 @ Y2) @ (X18 @ Y0 @ Y1 @ Y2) @ (X17 @ Y0 @ Y1 @ Y2) @ (X16 @ Y0 @ Y1 @ Y2) @ (X15 @ Y0 @ Y1 @ Y2) @ (X14 @ Y0 @ Y1 @ Y2) @ (X13 @ Y0 @ Y1 @ Y2) @ (X12 @ Y0 @ Y1 @ Y2) @ (X11 @ Y0 @ Y1 @ Y2) @ (X10 @ Y0 @ Y1 @ Y2) @ (X9 @ Y0 @ Y1 @ Y2) @ (X8 @ Y0 @ Y1 @ Y2) @ (X7 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2) @ (X27 @ Y0 @ Y1 @ Y2) @ (X6 @ Y0 @ Y1 @ Y2) @ (X28 @ Y0 @ Y1 @ Y2) @ (X5 @ Y0 @ Y1 @ Y2) @ (X4 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (f @ (X26 @ Y0 @ Y1 @ Y2) @ (X25 @ Y0 @ Y1 @ Y2) @ (X24 @ Y0 @ Y1 @ Y2) @ (X23 @ Y0 @ Y1 @ Y2) @ (X22 @ Y0 @ Y1 @ Y2) @ (X21 @ Y0 @ Y1 @ Y2) @ (X20 @ Y0 @ Y1 @ Y2) @ (X19 @ Y0 @ Y1 @ Y2) @ (X18 @ Y0 @ Y1 @ Y2) @ (X17 @ Y0 @ Y1 @ Y2) @ (X16 @ Y0 @ Y1 @ Y2) @ (X15 @ Y0 @ Y1 @ Y2) @ (X14 @ Y0 @ Y1 @ Y2) @ (X13 @ Y0 @ Y1 @ Y2) @ (X12 @ Y0 @ Y1 @ Y2) @ (X11 @ Y0 @ Y1 @ Y2) @ (X10 @ Y0 @ Y1 @ Y2) @ (X9 @ Y0 @ Y1 @ Y2) @ (X8 @ Y0 @ Y1 @ Y2) @ (X7 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2) @ (X27 @ Y0 @ Y1 @ Y2) @ (X6 @ Y0 @ Y1 @ Y2) @ (X28 @ Y0 @ Y1 @ Y2) @ (X5 @ Y0 @ Y1 @ Y2) @ (X4 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) @ a2 @ a0 @ a1)) | (b1 != (X17 @ a0 @ a2 @ a1)) | (b9 != (X23 @ a0 @ a2 @ a1)) | (a2 != (X28 @ a0 @ a2 @ a1)) | (b0 != (X20 @ a0 @ a2 @ a1)) | (b26 != (X3 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (f @ (X26 @ Y0 @ Y1 @ Y2) @ (X25 @ Y0 @ Y1 @ Y2) @ (X24 @ Y0 @ Y1 @ Y2) @ (X23 @ Y0 @ Y1 @ Y2) @ (X22 @ Y0 @ Y1 @ Y2) @ (X21 @ Y0 @ Y1 @ Y2) @ (X20 @ Y0 @ Y1 @ Y2) @ (X19 @ Y0 @ Y1 @ Y2) @ (X18 @ Y0 @ Y1 @ Y2) @ (X17 @ Y0 @ Y1 @ Y2) @ (X16 @ Y0 @ Y1 @ Y2) @ (X15 @ Y0 @ Y1 @ Y2) @ (X14 @ Y0 @ Y1 @ Y2) @ (X13 @ Y0 @ Y1 @ Y2) @ (X12 @ Y0 @ Y1 @ Y2) @ (X11 @ Y0 @ Y1 @ Y2) @ (X10 @ Y0 @ Y1 @ Y2) @ (X9 @ Y0 @ Y1 @ Y2) @ (X8 @ Y0 @ Y1 @ Y2) @ (X7 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2) @ (X27 @ Y0 @ Y1 @ Y2) @ (X6 @ Y0 @ Y1 @ Y2) @ (X28 @ Y0 @ Y1 @ Y2) @ (X5 @ Y0 @ Y1 @ Y2) @ (X4 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) @ a2 @ a1 @ a0)) | (b23 != (X0 @ a0 @ a2 @ a1)) | (b19 != (X18 @ a0 @ a2 @ a1)) | (b21 != (X13 @ a0 @ a2 @ a1)) | (b20 != (X8 @ a0 @ a2 @ a1)) | (b4 != (X9 @ a0 @ a2 @ a1)) | (b13 != (X22 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (f @ (X26 @ Y0 @ Y1 @ Y2) @ (X25 @ Y0 @ Y1 @ Y2) @ (X24 @ Y0 @ Y1 @ Y2) @ (X23 @ Y0 @ Y1 @ Y2) @ (X22 @ Y0 @ Y1 @ Y2) @ (X21 @ Y0 @ Y1 @ Y2) @ (X20 @ Y0 @ Y1 @ Y2) @ (X19 @ Y0 @ Y1 @ Y2) @ (X18 @ Y0 @ Y1 @ Y2) @ (X17 @ Y0 @ Y1 @ Y2) @ (X16 @ Y0 @ Y1 @ Y2) @ (X15 @ Y0 @ Y1 @ Y2) @ (X14 @ Y0 @ Y1 @ Y2) @ (X13 @ Y0 @ Y1 @ Y2) @ (X12 @ Y0 @ Y1 @ Y2) @ (X11 @ Y0 @ Y1 @ Y2) @ (X10 @ Y0 @ Y1 @ Y2) @ (X9 @ Y0 @ Y1 @ Y2) @ (X8 @ Y0 @ Y1 @ Y2) @ (X7 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2) @ (X27 @ Y0 @ Y1 @ Y2) @ (X6 @ Y0 @ Y1 @ Y2) @ (X28 @ Y0 @ Y1 @ Y2) @ (X5 @ Y0 @ Y1 @ Y2) @ (X4 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) @ a1 @ a0 @ a2)) | (b16 != (X19 @ a0 @ a2 @ a1)) | (b22 != (X25 @ a0 @ a2 @ a1)) | (b3 != (X11 @ a0 @ a2 @ a1)) | (b18 != (X4 @ a0 @ a2 @ a1)) | (b6 != (X10 @ a0 @ a2 @ a1)) | (b15 != (X15 @ a0 @ a2 @ a1)) | (b5 != (X24 @ a0 @ a2 @ a1)) | (b7 != (X14 @ a0 @ a2 @ a1)) | (b25 != (X21 @ a0 @ a2 @ a1)) | (b8 != (X5 @ a0 @ a2 @ a1)) | (b10 != (X12 @ a0 @ a2 @ a1)) | (b17 != (X7 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (f @ (X26 @ Y0 @ Y1 @ Y2) @ (X25 @ Y0 @ Y1 @ Y2) @ (X24 @ Y0 @ Y1 @ Y2) @ (X23 @ Y0 @ Y1 @ Y2) @ (X22 @ Y0 @ Y1 @ Y2) @ (X21 @ Y0 @ Y1 @ Y2) @ (X20 @ Y0 @ Y1 @ Y2) @ (X19 @ Y0 @ Y1 @ Y2) @ (X18 @ Y0 @ Y1 @ Y2) @ (X17 @ Y0 @ Y1 @ Y2) @ (X16 @ Y0 @ Y1 @ Y2) @ (X15 @ Y0 @ Y1 @ Y2) @ (X14 @ Y0 @ Y1 @ Y2) @ (X13 @ Y0 @ Y1 @ Y2) @ (X12 @ Y0 @ Y1 @ Y2) @ (X11 @ Y0 @ Y1 @ Y2) @ (X10 @ Y0 @ Y1 @ Y2) @ (X9 @ Y0 @ Y1 @ Y2) @ (X8 @ Y0 @ Y1 @ Y2) @ (X7 @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2) @ (X27 @ Y0 @ Y1 @ Y2) @ (X6 @ Y0 @ Y1 @ Y2) @ (X28 @ Y0 @ Y1 @ Y2) @ (X5 @ Y0 @ Y1 @ Y2) @ (X4 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) @ a1 @ a2 @ a0)) | (b11 != (X6 @ a0 @ a2 @ a1))) )),
% 2.14/1.60 inference(equality_resolution,[status(thm)],[f6])).
% 2.14/1.60 thf(f6,plain,(
% 2.14/1.60 ( ! [X0 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2))) )),
% 2.14/1.60 inference(duplicate_literal_removal,[status(thm)],[f5])).
% 2.14/1.60 thf(f5,plain,(
% 2.14/1.60 ( ! [X0 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ 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@ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23))) )),
% 2.14/1.60 inference(cnf_transformation,[status(thm)],[f4])).
% 2.14/1.60 thf(f4,plain,(
% 2.14/1.60 ! [X0 : $i > $i > $i > $i] : (((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a2 @ a0 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a1 @ a2)) | ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) != (X0 @ a0 @ a2 @ a1)) | ((X0 @ a1 @ a2 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a1 @ a0 @ a2) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) | ((X0 @ a2 @ a1 @ a0) != (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)))),
% 2.14/1.60 inference(ennf_transformation,[status(thm)],[f2])).
% 2.14/1.60 thf(f2,negated_conjecture,(
% 2.14/1.60 ~? [X0 : $i > $i > $i > $i] : (((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)))),
% 2.14/1.60 inference(negated_conjecture,[status(cth)],[f1])).
% 2.14/1.60 thf(f1,conjecture,(
% 2.14/1.60 ? [X0 : $i > $i > $i > $i] : (((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a2 @ a0 @ a1)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a1 @ a2 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a2 @ a1)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((X0 @ a1 @ a0 @ a2) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)) & ((X0 @ a2 @ a1 @ a0) = (f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23)) & ((f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23) = (X0 @ a0 @ a1 @ a2)))),
% 2.14/1.60 file('/export/starexec/sandbox2/tmp/tmp.nYhH5IPE12/DTF2THF_22309.p',goal)).
% 2.14/1.60 % SZS output end Proof for DTF2THF_22309
% 2.14/1.60 % (22445)------------------------------
% 2.14/1.60 % (22445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.60 % (22445)Termination reason: Refutation
% 2.14/1.60
% 2.14/1.60 % (22445)Memory used [KB]: 8955
% 2.14/1.60 % (22445)Time elapsed: 0.158 s
% 2.14/1.60 % (22445)Instructions burned: 335 (million)
% 2.14/1.60 % (22445)------------------------------
% 2.14/1.60 % (22445)------------------------------
% 2.14/1.60 % (22424)Success in time 0.225 s
%------------------------------------------------------------------------------