TSTP Solution File: SEV471^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV471^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:43:18 EDT 2024
% Result : Theorem 17.13s 2.71s
% Output : Refutation 17.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 58
% Syntax : Number of formulae : 755 ( 2 unt; 18 typ; 0 def)
% Number of atoms : 11082 (2969 equ; 0 cnn)
% Maximal formula atoms : 11 ( 15 avg)
% Number of connectives : 19606 (1092 ~;2542 |; 465 &;14687 @)
% ( 38 <=>; 404 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 388 ( 388 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 54 usr; 45 con; 0-5 aty)
% ( 302 !!; 76 ??; 0 @@+; 0 @@-)
% Number of variables : 1092 ( 429 ^ 636 !; 16 ?;1092 :)
% ( 11 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(type_def_7,type,
sK1: $tType ).
thf(func_def_0,type,
'const/trivia/I':
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_1,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_16,type,
sK2: sK1 > sK0 ).
thf(func_def_17,type,
sK3: sK1 > $o ).
thf(func_def_18,type,
sK4: sK0 > $o ).
thf(func_def_20,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X0 > X1 ) ).
thf(func_def_21,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > $o ) > X1 ) ).
thf(func_def_22,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > $o ) > X1 ) ).
thf(func_def_23,type,
sK9:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X1 > X0 ) > ( X1 > $o ) > X1 ) ).
thf(func_def_24,type,
sK10: ( sK0 > sK1 ) > sK0 ).
thf(func_def_25,type,
sK11: sK0 ).
thf(func_def_26,type,
sK12: sK1 ).
thf(func_def_27,type,
sK13: sK1 ).
thf(func_def_28,type,
sK14: sK0 > sK1 ).
thf(func_def_29,type,
sK15: sK0 > sK1 ).
thf(func_def_31,type,
ph16:
!>[X0: $tType] : X0 ).
thf(f3102,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f120,f127,f132,f145,f146,f150,f151,f163,f170,f176,f177,f183,f186,f189,f191,f216,f217,f228,f230,f234,f236,f243,f245,f259,f262,f265,f267,f280,f281,f282,f284,f309,f314,f325,f331,f336,f339,f343,f344,f356,f362,f370,f371,f372,f381,f383,f386,f403,f409,f410,f411,f419,f423,f427,f429,f446,f449,f456,f459,f461,f466,f470,f471,f528,f544,f552,f567,f570,f577,f583,f623,f685,f698,f744,f766,f777,f781,f784,f796,f942,f1019,f1137,f1145,f1184,f1369,f1628,f1661,f1674,f1676,f1678,f1915,f2325,f2424,f2446,f2461,f2466,f2490,f2564,f2571,f2847,f2890,f2893,f2910,f2965,f3027,f3078,f3088,f3101]) ).
thf(f3101,plain,
( ~ spl5_8
| ~ spl5_70 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
thf(f3100,plain,
( $false
| ~ spl5_8
| ~ spl5_70 ),
inference(trivial_inequality_removal,[],[f3099]) ).
thf(f3099,plain,
( ( $false = $true )
| ~ spl5_8
| ~ spl5_70 ),
inference(forward_demodulation,[],[f162,f1914]) ).
thf(f1914,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f1912]) ).
thf(f1912,plain,
( spl5_70
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
thf(f162,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f160,plain,
( spl5_8
<=> ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
thf(f3088,plain,
( spl5_85
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20
| spl5_87
| spl5_88
| spl5_89 ),
inference(avatar_split_clause,[],[f3087,f2328,f2322,f2318,f550,f491,f130,f125,f2310]) ).
thf(f2310,plain,
( spl5_85
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
thf(f125,plain,
( spl5_5
<=> ! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
thf(f130,plain,
( spl5_6
<=> ! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
thf(f491,plain,
( spl5_15
<=> ! [X2: sK1,X1: sK1] :
( ( X1 = X2 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK2 @ X2 )
!= ( sK2 @ X1 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
thf(f550,plain,
( spl5_20
<=> ! [X1: sK0] :
( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
thf(f2318,plain,
( spl5_87
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
thf(f2322,plain,
( spl5_88
<=> ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
thf(f2328,plain,
( spl5_89
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
thf(f3087,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20
| spl5_87
| spl5_88
| spl5_89 ),
inference(subsumption_resolution,[],[f3086,f2319]) ).
thf(f2319,plain,
( ( $false
!= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| spl5_87 ),
inference(avatar_component_clause,[],[f2318]) ).
thf(f3086,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20
| spl5_88
| spl5_89 ),
inference(subsumption_resolution,[],[f3085,f2329]) ).
thf(f2329,plain,
( ( $false
!= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| spl5_89 ),
inference(avatar_component_clause,[],[f2328]) ).
thf(f3085,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20
| spl5_88 ),
inference(subsumption_resolution,[],[f2663,f2323]) ).
thf(f2323,plain,
( ( $true
!= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| spl5_88 ),
inference(avatar_component_clause,[],[f2322]) ).
thf(f2663,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f2662]) ).
thf(f2662,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20 ),
inference(duplicate_literal_removal,[],[f2648]) ).
thf(f2648,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_15
| ~ spl5_20 ),
inference(superposition,[],[f131,f2271]) ).
thf(f2271,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) @ sK3 ) ) )
| ~ spl5_5
| ~ spl5_15
| ~ spl5_20 ),
inference(equality_resolution,[],[f2055]) ).
thf(f2055,plain,
( ! [X0: sK0 > sK1,X1: sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
!= ( sK2 @ X1 ) )
| ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) @ sK3 ) ) )
| ~ spl5_5
| ~ spl5_15
| ~ spl5_20 ),
inference(superposition,[],[f492,f832]) ).
thf(f832,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) ) )
| ~ spl5_5
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f816]) ).
thf(f816,plain,
( ! [X0: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false = $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) ) ) )
| ~ spl5_5
| ~ spl5_20 ),
inference(superposition,[],[f659,f551]) ).
thf(f551,plain,
( ! [X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 ) )
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f550]) ).
thf(f659,plain,
( ! [X0: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) ) )
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f658]) ).
thf(f658,plain,
( ! [X0: sK0 > sK1] :
( ( $true != $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) @ sK4 ) ) )
| ~ spl5_5 ),
inference(superposition,[],[f20,f126]) ).
thf(f126,plain,
( ! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f20,plain,
! [X5: sK1] :
( ( ( 'const/sets/IN' @ sK1 @ X5 @ sK3 )
!= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ X5 ) @ sK4 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
!= ( ?? @ ( sK0 > sK1 )
@ ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) ) ) )
& ! [X5: sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ X5 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ X5 @ sK3 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f16,f17]) ).
thf(f17,plain,
( ? [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ( ( ?? @ ( X0 > X1 )
@ ^ [Y0: X0 > X1] :
( ( !! @ X1
@ ^ [Y1: X1] :
( ( 'const/sets/IN' @ X1 @ Y1 @ X3 )
=> ( ( Y0 @ ( X2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( ( X2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( Y0 @ Y1 ) @ X3 ) ) ) ) )
!= ( ( !! @ X1
@ ^ [Y0: X1] :
( !! @ X1
@ ^ [Y1: X1] :
( ( ( ( X2 @ Y0 )
= ( X2 @ Y1 ) )
& ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X4 )
=> ( ?? @ X1
@ ^ [Y1: X1] :
( ( ( X2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) ) ) ) ) ) )
& ! [X5: X1] :
( ( ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 )
= $true )
| ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
!= $true ) ) )
=> ( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
!= ( ?? @ ( sK0 > sK1 )
@ ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) ) ) )
& ! [X5: sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ X5 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ X5 @ sK3 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
? [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ( ( ?? @ ( X0 > X1 )
@ ^ [Y0: X0 > X1] :
( ( !! @ X1
@ ^ [Y1: X1] :
( ( 'const/sets/IN' @ X1 @ Y1 @ X3 )
=> ( ( Y0 @ ( X2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( ( X2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( Y0 @ Y1 ) @ X3 ) ) ) ) )
!= ( ( !! @ X1
@ ^ [Y0: X1] :
( !! @ X1
@ ^ [Y1: X1] :
( ( ( ( X2 @ Y0 )
= ( X2 @ Y1 ) )
& ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X4 )
=> ( ?? @ X1
@ ^ [Y1: X1] :
( ( ( X2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) ) ) ) ) ) )
& ! [X5: X1] :
( ( ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 )
= $true )
| ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
!= $true ) ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
~ ! [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ! [X5: X1] :
( ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
= $true )
=> ( ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 )
= $true ) )
=> ( ( ?? @ ( X0 > X1 )
@ ^ [Y0: X0 > X1] :
( ( !! @ X1
@ ^ [Y1: X1] :
( ( 'const/sets/IN' @ X1 @ Y1 @ X3 )
=> ( ( Y0 @ ( X2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( ( X2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( Y0 @ Y1 ) @ X3 ) ) ) ) )
= ( ( !! @ X1
@ ^ [Y0: X1] :
( !! @ X1
@ ^ [Y1: X1] :
( ( ( ( X2 @ Y0 )
= ( X2 @ Y1 ) )
& ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X4 )
=> ( ?? @ X1
@ ^ [Y1: X1] :
( ( ( X2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ X1 @ Y1 @ X3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
~ ! [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ! [X5: X1] :
( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
=> ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 ) )
=> ( ! [X6: X0] :
( ( 'const/sets/IN' @ X0 @ X6 @ X4 )
=> ? [X7: X1] :
( ( 'const/sets/IN' @ X1 @ X7 @ X3 )
& ( ( X2 @ X7 )
= X6 ) ) )
& ! [X8: X1,X9: X1] :
( ( ( ( 'const/sets/IN' @ X1 @ X8 @ X3 )
& ( 'const/sets/IN' @ X1 @ X9 @ X3 )
& ( ( X2 @ X9 )
= ( X2 @ X8 ) ) )
=> ( X8 = X9 ) )
= ( ? [X10: X0 > X1] :
( ! [X11: X0] :
( ( 'const/sets/IN' @ X0 @ X11 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( X10 @ X11 ) @ X3 ) )
& ! [X12: X0] :
( ( 'const/sets/IN' @ X0 @ X12 @ X4 )
=> ( ( X2 @ ( X10 @ X12 ) )
= X12 ) )
& ! [X13: X1] :
( ( 'const/sets/IN' @ X1 @ X13 @ X3 )
=> ( ( X10 @ ( X2 @ X13 ) )
= X13 ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ! [X5: X1] :
( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
=> ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 ) )
=> ( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X4 )
=> ? [X6: X1] :
( ( 'const/sets/IN' @ X1 @ X6 @ X3 )
& ( ( X2 @ X6 )
= X5 ) ) )
& ! [X5: X1,X6: X1] :
( ( ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
& ( 'const/sets/IN' @ X1 @ X6 @ X3 )
& ( ( X2 @ X5 )
= ( X2 @ X6 ) ) )
=> ( X5 = X6 ) )
= ( ? [X5: X0 > X1] :
( ! [X6: X0] :
( ( 'const/sets/IN' @ X0 @ X6 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( X5 @ X6 ) @ X3 ) )
& ! [X6: X0] :
( ( 'const/sets/IN' @ X0 @ X6 @ X4 )
=> ( ( X2 @ ( X5 @ X6 ) )
= X6 ) )
& ! [X6: X1] :
( ( 'const/sets/IN' @ X1 @ X6 @ X3 )
=> ( ( X5 @ ( X2 @ X6 ) )
= X6 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X0: $tType,X1: $tType,X2: X1 > X0,X3: X1 > $o,X4: X0 > $o] :
( ! [X5: X1] :
( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
=> ( 'const/sets/IN' @ X0 @ ( X2 @ X5 ) @ X4 ) )
=> ( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X4 )
=> ? [X6: X1] :
( ( 'const/sets/IN' @ X1 @ X6 @ X3 )
& ( ( X2 @ X6 )
= X5 ) ) )
& ! [X5: X1,X6: X1] :
( ( ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
& ( 'const/sets/IN' @ X1 @ X6 @ X3 )
& ( ( X2 @ X5 )
= ( X2 @ X6 ) ) )
=> ( X5 = X6 ) )
= ( ? [X5: X0 > X1] :
( ! [X6: X0] :
( ( 'const/sets/IN' @ X0 @ X6 @ X4 )
=> ( 'const/sets/IN' @ X1 @ ( X5 @ X6 ) @ X3 ) )
& ! [X6: X0] :
( ( 'const/sets/IN' @ X0 @ X6 @ X4 )
=> ( ( X2 @ ( X5 @ X6 ) )
= X6 ) )
& ! [X6: X1] :
( ( 'const/sets/IN' @ X1 @ X6 @ X3 )
=> ( ( X5 @ ( X2 @ X6 ) )
= X6 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AfttyptXSh/Vampire---4.8_8748','thm/sets/BIJECTIVE_ON_LEFT_RIGHT_INVERSE_') ).
thf(f492,plain,
( ! [X2: sK1,X1: sK1] :
( ( ( sK2 @ X2 )
!= ( sK2 @ X1 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) )
| ( X1 = X2 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f491]) ).
thf(f131,plain,
( ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f3078,plain,
( ~ spl5_12
| ~ spl5_19
| spl5_87
| ~ spl5_89
| ~ spl5_90
| ~ spl5_121 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
thf(f3077,plain,
( $false
| ~ spl5_12
| ~ spl5_19
| spl5_87
| ~ spl5_89
| ~ spl5_90
| ~ spl5_121 ),
inference(trivial_inequality_removal,[],[f3076]) ).
thf(f3076,plain,
( ( $false = $true )
| ~ spl5_12
| ~ spl5_19
| spl5_87
| ~ spl5_89
| ~ spl5_90
| ~ spl5_121 ),
inference(forward_demodulation,[],[f3075,f2921]) ).
thf(f2921,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_89 ),
inference(trivial_inequality_removal,[],[f2917]) ).
thf(f2917,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $false = $true )
| ~ spl5_19
| ~ spl5_89 ),
inference(superposition,[],[f2330,f543]) ).
thf(f543,plain,
( ! [X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) )
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f542]) ).
thf(f542,plain,
( spl5_19
<=> ! [X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
thf(f2330,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f2328]) ).
thf(f3075,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_12
| spl5_87
| ~ spl5_90
| ~ spl5_121 ),
inference(subsumption_resolution,[],[f3066,f2335]) ).
thf(f2335,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f2334]) ).
thf(f2334,plain,
( spl5_90
<=> ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
thf(f3066,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_12
| spl5_87
| ~ spl5_121 ),
inference(trivial_inequality_removal,[],[f3063]) ).
thf(f3063,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ~ spl5_12
| spl5_87
| ~ spl5_121 ),
inference(superposition,[],[f355,f3037]) ).
thf(f3037,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
| spl5_87
| ~ spl5_121 ),
inference(subsumption_resolution,[],[f3036,f2319]) ).
thf(f3036,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
| ~ spl5_121 ),
inference(equality_resolution,[],[f2852]) ).
thf(f2852,plain,
( ! [X0: sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) )
| ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) ) )
| ~ spl5_121 ),
inference(avatar_component_clause,[],[f2851]) ).
thf(f2851,plain,
( spl5_121
<=> ! [X0: sK1] :
( ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
thf(f355,plain,
( ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) )
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f354]) ).
thf(f354,plain,
( spl5_12
<=> ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
thf(f3027,plain,
( spl5_121
| ~ spl5_14
| ~ spl5_15
| ~ spl5_19
| ~ spl5_20
| spl5_85
| ~ spl5_89
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f3026,f2334,f2328,f2310,f550,f542,f491,f417,f2851]) ).
thf(f417,plain,
( spl5_14
<=> ! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
thf(f3026,plain,
( ! [X0: sK1] :
( ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) ) )
| ~ spl5_14
| ~ spl5_15
| ~ spl5_19
| ~ spl5_20
| spl5_85
| ~ spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2994,f2311]) ).
thf(f2311,plain,
( ( $false
!= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| spl5_85 ),
inference(avatar_component_clause,[],[f2310]) ).
thf(f2994,plain,
( ! [X0: sK1] :
( ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) ) )
| ~ spl5_14
| ~ spl5_15
| ~ spl5_19
| ~ spl5_20
| ~ spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f492,f2969]) ).
thf(f2969,plain,
( ( ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
= ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_20
| ~ spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2967]) ).
thf(f2967,plain,
( ( ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
= ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
| ( $false = $true )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_20
| ~ spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f551,f2962]) ).
thf(f2962,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2961]) ).
thf(f2961,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ( $true != $true )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f20,f2957]) ).
thf(f2957,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2956]) ).
thf(f2956,plain,
( ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90 ),
inference(forward_demodulation,[],[f2955,f2921]) ).
thf(f2955,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_14
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2952]) ).
thf(f2952,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_14
| ~ spl5_90 ),
inference(superposition,[],[f418,f2335]) ).
thf(f418,plain,
( ! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) )
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f417]) ).
thf(f2965,plain,
( ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
thf(f2964,plain,
( $false
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(trivial_inequality_removal,[],[f2963]) ).
thf(f2963,plain,
( ( $false = $true )
| ~ spl5_14
| ~ spl5_19
| ~ spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(forward_demodulation,[],[f2962,f2727]) ).
thf(f2727,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f2725]) ).
thf(f2725,plain,
( spl5_112
<=> ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
thf(f2910,plain,
( ~ spl5_5
| spl5_88
| spl5_89
| ~ spl5_112 ),
inference(avatar_contradiction_clause,[],[f2909]) ).
thf(f2909,plain,
( $false
| ~ spl5_5
| spl5_88
| spl5_89
| ~ spl5_112 ),
inference(subsumption_resolution,[],[f2908,f2323]) ).
thf(f2908,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_5
| spl5_89
| ~ spl5_112 ),
inference(subsumption_resolution,[],[f2903,f2329]) ).
thf(f2903,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_112 ),
inference(trivial_inequality_removal,[],[f2897]) ).
thf(f2897,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_5
| ~ spl5_112 ),
inference(superposition,[],[f2727,f659]) ).
thf(f2893,plain,
( ~ spl5_3
| spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
thf(f2892,plain,
( $false
| ~ spl5_3
| spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(trivial_inequality_removal,[],[f2891]) ).
thf(f2891,plain,
( ( $false = $true )
| ~ spl5_3
| spl5_89
| ~ spl5_90
| ~ spl5_112 ),
inference(backward_demodulation,[],[f2627,f2727]) ).
thf(f2627,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_3
| spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2626]) ).
thf(f2626,plain,
( ( $true != $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_3
| spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f20,f2561]) ).
thf(f2561,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_3
| spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2522,f2329]) ).
thf(f2522,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_3
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2520]) ).
thf(f2520,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) )
| ~ spl5_3
| ~ spl5_90 ),
inference(superposition,[],[f113,f2335]) ).
thf(f113,plain,
( ! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f112,plain,
( spl5_3
<=> ! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
thf(f2890,plain,
( spl5_112
| ~ spl5_19
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f2885,f2310,f542,f2725]) ).
thf(f2885,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_85 ),
inference(trivial_inequality_removal,[],[f2883]) ).
thf(f2883,plain,
( ( $false = $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_85 ),
inference(superposition,[],[f543,f2312]) ).
thf(f2312,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f2310]) ).
thf(f2847,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(avatar_contradiction_clause,[],[f2846]) ).
thf(f2846,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2845,f2329]) ).
thf(f2845,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2829,f2335]) ).
thf(f2829,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2825]) ).
thf(f2825,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ~ spl5_3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f119,f2804]) ).
thf(f2804,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
| ~ spl5_3
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_87
| spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2803,f2319]) ).
thf(f2803,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
| ~ spl5_3
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_89
| ~ spl5_90 ),
inference(equality_resolution,[],[f2732]) ).
thf(f2732,plain,
( ! [X0: sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) )
| ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) ) )
| ~ spl5_3
| ~ spl5_15
| ~ spl5_20
| spl5_85
| spl5_89
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2705,f2311]) ).
thf(f2705,plain,
( ! [X0: sK1] :
( ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
= X0 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
!= ( sK2 @ X0 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) ) )
| ~ spl5_3
| ~ spl5_15
| ~ spl5_20
| spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f492,f2675]) ).
thf(f2675,plain,
( ( ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
= ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
| ~ spl5_3
| ~ spl5_20
| spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2672]) ).
thf(f2672,plain,
( ( $false = $true )
| ( ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) )
= ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) )
| ~ spl5_3
| ~ spl5_20
| spl5_89
| ~ spl5_90 ),
inference(superposition,[],[f2627,f551]) ).
thf(f119,plain,
( ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f118,plain,
( spl5_4
<=> ! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
thf(f2571,plain,
( ~ spl5_14
| spl5_86
| ~ spl5_87
| ~ spl5_90 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
thf(f2570,plain,
( $false
| ~ spl5_14
| spl5_86
| ~ spl5_87
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2569]) ).
thf(f2569,plain,
( ( $false = $true )
| ~ spl5_14
| spl5_86
| ~ spl5_87
| ~ spl5_90 ),
inference(forward_demodulation,[],[f2568,f2320]) ).
thf(f2320,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f2318]) ).
thf(f2568,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_14
| spl5_86
| ~ spl5_90 ),
inference(subsumption_resolution,[],[f2521,f2315]) ).
thf(f2315,plain,
( ( $true
!= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| spl5_86 ),
inference(avatar_component_clause,[],[f2314]) ).
thf(f2314,plain,
( spl5_86
<=> ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
thf(f2521,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ~ spl5_14
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2519]) ).
thf(f2519,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_14
| ~ spl5_90 ),
inference(superposition,[],[f418,f2335]) ).
thf(f2564,plain,
( ~ spl5_3
| ~ spl5_87
| spl5_89
| ~ spl5_90 ),
inference(avatar_contradiction_clause,[],[f2563]) ).
thf(f2563,plain,
( $false
| ~ spl5_3
| ~ spl5_87
| spl5_89
| ~ spl5_90 ),
inference(trivial_inequality_removal,[],[f2562]) ).
thf(f2562,plain,
( ( $false = $true )
| ~ spl5_3
| ~ spl5_87
| spl5_89
| ~ spl5_90 ),
inference(forward_demodulation,[],[f2561,f2320]) ).
thf(f2490,plain,
( spl5_90
| ~ spl5_20
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f2487,f2322,f550,f2334]) ).
thf(f2487,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ~ spl5_20
| ~ spl5_88 ),
inference(trivial_inequality_removal,[],[f2485]) ).
thf(f2485,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 )
= ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) ) ) )
| ( $false = $true )
| ~ spl5_20
| ~ spl5_88 ),
inference(superposition,[],[f2324,f551]) ).
thf(f2324,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f2322]) ).
thf(f2466,plain,
( spl5_88
| spl5_89
| ~ spl5_5
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f2453,f2318,f125,f2328,f2322]) ).
thf(f2453,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_87 ),
inference(trivial_inequality_removal,[],[f2447]) ).
thf(f2447,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false = $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK10 @ sK15 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_87 ),
inference(superposition,[],[f2320,f126]) ).
thf(f2461,plain,
( spl5_88
| ~ spl5_13
| ~ spl5_19
| ~ spl5_87
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f2460,f2328,f2318,f542,f401,f2322]) ).
thf(f401,plain,
( spl5_13
<=> ! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
thf(f2460,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_87
| ~ spl5_89 ),
inference(trivial_inequality_removal,[],[f2459]) ).
thf(f2459,plain,
( ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_87
| ~ spl5_89 ),
inference(forward_demodulation,[],[f2452,f2421]) ).
thf(f2421,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_89 ),
inference(trivial_inequality_removal,[],[f2418]) ).
thf(f2418,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $false = $true )
| ~ spl5_19
| ~ spl5_89 ),
inference(superposition,[],[f543,f2330]) ).
thf(f2452,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_87 ),
inference(trivial_inequality_removal,[],[f2448]) ).
thf(f2448,plain,
( ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_87 ),
inference(superposition,[],[f2320,f402]) ).
thf(f402,plain,
( ! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) )
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f401]) ).
thf(f2446,plain,
( spl5_88
| ~ spl5_13
| ~ spl5_19
| ~ spl5_85
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f2445,f2328,f2310,f542,f401,f2322]) ).
thf(f2445,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_85
| ~ spl5_89 ),
inference(trivial_inequality_removal,[],[f2444]) ).
thf(f2444,plain,
( ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_85
| ~ spl5_89 ),
inference(forward_demodulation,[],[f2439,f2421]) ).
thf(f2439,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_85 ),
inference(trivial_inequality_removal,[],[f2436]) ).
thf(f2436,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_13
| ~ spl5_19
| ~ spl5_85 ),
inference(superposition,[],[f654,f2432]) ).
thf(f2432,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_85 ),
inference(trivial_inequality_removal,[],[f2427]) ).
thf(f2427,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) @ sK4 ) )
| ( $false = $true )
| ~ spl5_19
| ~ spl5_85 ),
inference(superposition,[],[f2312,f543]) ).
thf(f654,plain,
( ! [X0: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_13 ),
inference(trivial_inequality_removal,[],[f652]) ).
thf(f652,plain,
( ! [X0: sK0 > sK1] :
( ( $true != $true )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_13 ),
inference(superposition,[],[f20,f402]) ).
thf(f2424,plain,
( ~ spl5_19
| ~ spl5_86
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f2423]) ).
thf(f2423,plain,
( $false
| ~ spl5_19
| ~ spl5_86
| ~ spl5_89 ),
inference(trivial_inequality_removal,[],[f2422]) ).
thf(f2422,plain,
( ( $false = $true )
| ~ spl5_19
| ~ spl5_86
| ~ spl5_89 ),
inference(backward_demodulation,[],[f2316,f2421]) ).
thf(f2316,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f2314]) ).
thf(f2325,plain,
( spl5_85
| spl5_86
| spl5_87
| spl5_88
| ~ spl5_11
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(avatar_split_clause,[],[f2305,f550,f491,f401,f307,f2322,f2318,f2314,f2310]) ).
thf(f307,plain,
( spl5_11
<=> ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
thf(f2305,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f2304]) ).
thf(f2304,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(duplicate_literal_removal,[],[f2290]) ).
thf(f2290,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK15 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK15 @ sK4 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK15 ) @ sK4 ) )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(superposition,[],[f308,f2266]) ).
thf(f2266,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 )
= ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) @ sK3 ) ) )
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(equality_resolution,[],[f1948]) ).
thf(f1948,plain,
( ! [X0: sK0 > sK1,X1: sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
!= ( sK2 @ X1 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= X1 )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) ) )
| ~ spl5_13
| ~ spl5_15
| ~ spl5_20 ),
inference(superposition,[],[f492,f830]) ).
thf(f830,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true ) )
| ~ spl5_13
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f817]) ).
thf(f817,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) ) ) )
| ( $false = $true )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_13
| ~ spl5_20 ),
inference(superposition,[],[f654,f551]) ).
thf(f308,plain,
( ! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f307]) ).
thf(f1915,plain,
( spl5_70
| spl5_1
| ~ spl5_9
| ~ spl5_15
| spl5_37 ),
inference(avatar_split_clause,[],[f1906,f932,f491,f167,f104,f1912]) ).
thf(f104,plain,
( spl5_1
<=> ( sK12 = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
thf(f167,plain,
( spl5_9
<=> ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
thf(f932,plain,
( spl5_37
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
thf(f1906,plain,
( ( sK12 = sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ~ spl5_9
| ~ spl5_15
| spl5_37 ),
inference(equality_resolution,[],[f1809]) ).
thf(f1809,plain,
( ! [X0: sK1] :
( ( ( sK2 @ sK12 )
!= ( sK2 @ X0 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ( sK13 = X0 ) )
| ~ spl5_9
| ~ spl5_15
| spl5_37 ),
inference(subsumption_resolution,[],[f1776,f933]) ).
thf(f933,plain,
( ( $false
!= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| spl5_37 ),
inference(avatar_component_clause,[],[f932]) ).
thf(f1776,plain,
( ! [X0: sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( sK13 = X0 )
| ( ( sK2 @ sK12 )
!= ( sK2 @ X0 ) ) )
| ~ spl5_9
| ~ spl5_15 ),
inference(superposition,[],[f492,f169]) ).
thf(f169,plain,
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f1678,plain,
( spl5_25
| ~ spl5_3
| spl5_26
| ~ spl5_27 ),
inference(avatar_split_clause,[],[f1677,f773,f768,f112,f695]) ).
thf(f695,plain,
( spl5_25
<=> ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
thf(f768,plain,
( spl5_26
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
thf(f773,plain,
( spl5_27
<=> ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
thf(f1677,plain,
( ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ~ spl5_3
| spl5_26
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f1470,f769]) ).
thf(f769,plain,
( ( $false
!= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| spl5_26 ),
inference(avatar_component_clause,[],[f768]) ).
thf(f1470,plain,
( ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_3
| ~ spl5_27 ),
inference(trivial_inequality_removal,[],[f1466]) ).
thf(f1466,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_3
| ~ spl5_27 ),
inference(superposition,[],[f113,f774]) ).
thf(f774,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f773]) ).
thf(f1676,plain,
( spl5_25
| ~ spl5_14
| spl5_23
| ~ spl5_27 ),
inference(avatar_split_clause,[],[f1675,f773,f678,f417,f695]) ).
thf(f678,plain,
( spl5_23
<=> ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
thf(f1675,plain,
( ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ~ spl5_14
| spl5_23
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f1468,f679]) ).
thf(f679,plain,
( ( $true
!= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| spl5_23 ),
inference(avatar_component_clause,[],[f678]) ).
thf(f1468,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ~ spl5_14
| ~ spl5_27 ),
inference(trivial_inequality_removal,[],[f1465]) ).
thf(f1465,plain,
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ~ spl5_14
| ~ spl5_27 ),
inference(superposition,[],[f418,f774]) ).
thf(f1674,plain,
( ~ spl5_23
| ~ spl5_65 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
thf(f1673,plain,
( $false
| ~ spl5_23
| ~ spl5_65 ),
inference(trivial_inequality_removal,[],[f1672]) ).
thf(f1672,plain,
( ( $false = $true )
| ~ spl5_23
| ~ spl5_65 ),
inference(backward_demodulation,[],[f680,f1621]) ).
thf(f1621,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f1619]) ).
thf(f1619,plain,
( spl5_65
<=> ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
thf(f680,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f678]) ).
thf(f1661,plain,
( spl5_65
| ~ spl5_19
| ~ spl5_26
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1660,f1623,f768,f542,f1619]) ).
thf(f1623,plain,
( spl5_66
<=> ( ( sK14 @ ( sK10 @ sK14 ) )
= ( sK15 @ ( sK10 @ sK14 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
thf(f1660,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_26
| ~ spl5_66 ),
inference(trivial_inequality_removal,[],[f1659]) ).
thf(f1659,plain,
( ( $false = $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_26
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1644,f770]) ).
thf(f770,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f768]) ).
thf(f1644,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_19
| ~ spl5_66 ),
inference(superposition,[],[f543,f1625]) ).
thf(f1625,plain,
( ( ( sK14 @ ( sK10 @ sK14 ) )
= ( sK15 @ ( sK10 @ sK14 ) ) )
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f1623]) ).
thf(f1628,plain,
( spl5_66
| spl5_65
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1609,f678,f550,f542,f526,f1619,f1623]) ).
thf(f526,plain,
( spl5_18
<=> ! [X3: sK1] :
( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
thf(f1609,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( sK14 @ ( sK10 @ sK14 ) )
= ( sK15 @ ( sK10 @ sK14 ) ) )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_23 ),
inference(superposition,[],[f1179,f1603]) ).
thf(f1603,plain,
( ( ( sK2 @ ( sK15 @ ( sK10 @ sK14 ) ) )
= ( sK10 @ sK14 ) )
| ~ spl5_20
| ~ spl5_23 ),
inference(trivial_inequality_removal,[],[f1601]) ).
thf(f1601,plain,
( ( $false = $true )
| ( ( sK2 @ ( sK15 @ ( sK10 @ sK14 ) ) )
= ( sK10 @ sK14 ) )
| ~ spl5_20
| ~ spl5_23 ),
inference(superposition,[],[f551,f680]) ).
thf(f1179,plain,
( ! [X0: sK0] :
( ( ( sK15 @ X0 )
= ( sK14 @ ( sK2 @ ( sK15 @ X0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_18
| ~ spl5_19 ),
inference(trivial_inequality_removal,[],[f1170]) ).
thf(f1170,plain,
( ! [X0: sK0] :
( ( ( sK15 @ X0 )
= ( sK14 @ ( sK2 @ ( sK15 @ X0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) )
| ( $false = $true ) )
| ~ spl5_18
| ~ spl5_19 ),
inference(superposition,[],[f543,f527]) ).
thf(f527,plain,
( ! [X3: sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( ( sK14 @ ( sK2 @ X3 ) )
= X3 ) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f526]) ).
thf(f1369,plain,
( ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24
| spl5_27 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
thf(f1368,plain,
( $false
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24
| spl5_27 ),
inference(trivial_inequality_removal,[],[f1367]) ).
thf(f1367,plain,
( ( $false = $true )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24
| spl5_27 ),
inference(backward_demodulation,[],[f684,f1366]) ).
thf(f1366,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $false )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24
| spl5_27 ),
inference(subsumption_resolution,[],[f1365,f775]) ).
thf(f775,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| spl5_27 ),
inference(avatar_component_clause,[],[f773]) ).
thf(f1365,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $false )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24 ),
inference(duplicate_literal_removal,[],[f1354]) ).
thf(f1354,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $false )
| ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $false )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20
| ~ spl5_24 ),
inference(superposition,[],[f1303,f1017]) ).
thf(f1017,plain,
( ( ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_20
| ~ spl5_24 ),
inference(trivial_inequality_removal,[],[f1012]) ).
thf(f1012,plain,
( ( $false = $true )
| ( ( sK2 @ ( sK15 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_20
| ~ spl5_24 ),
inference(superposition,[],[f551,f684]) ).
thf(f1303,plain,
( ! [X0: sK0] :
( ( ( sK2 @ ( sK15 @ X0 ) )
= ( sK2 @ ( sK14 @ ( sK2 @ ( sK15 @ X0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK15 @ X0 ) ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20 ),
inference(duplicate_literal_removal,[],[f1289]) ).
thf(f1289,plain,
( ! [X0: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK15 @ X0 ) ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X0 ) )
= ( sK2 @ ( sK14 @ ( sK2 @ ( sK15 @ X0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20 ),
inference(superposition,[],[f1233,f1239]) ).
thf(f1239,plain,
( ! [X0: sK0] :
( ( ( sK15 @ ( sK2 @ ( sK15 @ X0 ) ) )
= ( sK14 @ ( sK2 @ ( sK15 @ X0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK15 @ X0 ) ) @ sK4 ) ) )
| ~ spl5_18
| ~ spl5_19
| ~ spl5_20 ),
inference(superposition,[],[f1179,f1233]) ).
thf(f1233,plain,
( ! [X0: sK0] :
( ( ( sK2 @ ( sK15 @ X0 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK15 @ X0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_19
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f1230]) ).
thf(f1230,plain,
( ! [X0: sK0] :
( ( ( sK2 @ ( sK15 @ X0 ) )
= ( sK2 @ ( sK15 @ ( sK2 @ ( sK15 @ X0 ) ) ) ) )
| ( $false = $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_19
| ~ spl5_20 ),
inference(superposition,[],[f1178,f551]) ).
thf(f1178,plain,
( ! [X0: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK15 @ X0 ) ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) ) )
| ~ spl5_19 ),
inference(trivial_inequality_removal,[],[f1174]) ).
thf(f1174,plain,
( ! [X0: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK2 @ ( sK15 @ X0 ) ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK4 ) )
| ( $true != $true ) )
| ~ spl5_19 ),
inference(superposition,[],[f20,f543]) ).
thf(f684,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f682]) ).
thf(f682,plain,
( spl5_24
<=> ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
thf(f1184,plain,
( ~ spl5_2
| ~ spl5_19
| ~ spl5_47 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
thf(f1183,plain,
( $false
| ~ spl5_2
| ~ spl5_19
| ~ spl5_47 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1182,plain,
( ( $false = $true )
| ~ spl5_2
| ~ spl5_19
| ~ spl5_47 ),
inference(backward_demodulation,[],[f110,f1181]) ).
thf(f1181,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ~ spl5_19
| ~ spl5_47 ),
inference(trivial_inequality_removal,[],[f1169]) ).
thf(f1169,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false = $true )
| ~ spl5_19
| ~ spl5_47 ),
inference(superposition,[],[f543,f1113]) ).
thf(f1113,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ sK11 ) @ sK3 ) )
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f1111]) ).
thf(f1111,plain,
( spl5_47
<=> ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ sK11 ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
thf(f110,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f108,plain,
( spl5_2
<=> ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
thf(f1145,plain,
( ~ spl5_2
| ~ spl5_10
| ~ spl5_16
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
thf(f1144,plain,
( $false
| ~ spl5_2
| ~ spl5_10
| ~ spl5_16
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f1143]) ).
thf(f1143,plain,
( ( $false = $true )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_16
| ~ spl5_17 ),
inference(backward_demodulation,[],[f110,f1142]) ).
thf(f1142,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_16
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f1138]) ).
thf(f1138,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false = $true )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_16
| ~ spl5_17 ),
inference(superposition,[],[f1136,f495]) ).
thf(f495,plain,
( ! [X3: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ X3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X3 @ sK4 ) ) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f494]) ).
thf(f494,plain,
( spl5_16
<=> ! [X3: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ X3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X3 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
thf(f1136,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ sK11 ) @ sK3 ) )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f1134]) ).
thf(f1134,plain,
( ( sK11 != sK11 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ sK11 ) @ sK3 ) )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_17 ),
inference(superposition,[],[f215,f1098]) ).
thf(f1098,plain,
( ( sK11
= ( sK2 @ ( sK14 @ sK11 ) ) )
| ~ spl5_2
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f1092]) ).
thf(f1092,plain,
( ( sK11
= ( sK2 @ ( sK14 @ sK11 ) ) )
| ( $false = $true )
| ~ spl5_2
| ~ spl5_17 ),
inference(superposition,[],[f110,f512]) ).
thf(f512,plain,
( ! [X2: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) )
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f511]) ).
thf(f511,plain,
( spl5_17
<=> ! [X2: sK0] :
( ( ( sK2 @ ( sK14 @ X2 ) )
= X2 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
thf(f215,plain,
( ! [X2: sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f214]) ).
thf(f214,plain,
( spl5_10
<=> ! [X2: sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
thf(f1137,plain,
( spl5_47
| ~ spl5_2
| ~ spl5_10
| ~ spl5_20 ),
inference(avatar_split_clause,[],[f1135,f550,f214,f108,f1111]) ).
thf(f1135,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ sK11 ) @ sK3 ) )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f1133]) ).
thf(f1133,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ sK11 ) @ sK3 ) )
| ( sK11 != sK11 )
| ~ spl5_2
| ~ spl5_10
| ~ spl5_20 ),
inference(superposition,[],[f215,f1096]) ).
thf(f1096,plain,
( ( sK11
= ( sK2 @ ( sK15 @ sK11 ) ) )
| ~ spl5_2
| ~ spl5_20 ),
inference(trivial_inequality_removal,[],[f1093]) ).
thf(f1093,plain,
( ( sK11
= ( sK2 @ ( sK15 @ sK11 ) ) )
| ( $false = $true )
| ~ spl5_2
| ~ spl5_20 ),
inference(superposition,[],[f551,f110]) ).
thf(f1019,plain,
( spl5_27
| ~ spl5_17
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f1015,f682,f511,f773]) ).
thf(f1015,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_17
| ~ spl5_24 ),
inference(trivial_inequality_removal,[],[f1013]) ).
thf(f1013,plain,
( ( $false = $true )
| ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_17
| ~ spl5_24 ),
inference(superposition,[],[f512,f684]) ).
thf(f942,plain,
( ~ spl5_7
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f941]) ).
thf(f941,plain,
( $false
| ~ spl5_7
| ~ spl5_37 ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f940,plain,
( ( $false = $true )
| ~ spl5_7
| ~ spl5_37 ),
inference(backward_demodulation,[],[f144,f934]) ).
thf(f934,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f932]) ).
thf(f144,plain,
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f142,plain,
( spl5_7
<=> ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
thf(f796,plain,
( ~ spl5_16
| ~ spl5_23
| ~ spl5_26 ),
inference(avatar_contradiction_clause,[],[f795]) ).
thf(f795,plain,
( $false
| ~ spl5_16
| ~ spl5_23
| ~ spl5_26 ),
inference(trivial_inequality_removal,[],[f794]) ).
thf(f794,plain,
( ( $false = $true )
| ~ spl5_16
| ~ spl5_23
| ~ spl5_26 ),
inference(backward_demodulation,[],[f680,f793]) ).
thf(f793,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_16
| ~ spl5_26 ),
inference(trivial_inequality_removal,[],[f789]) ).
thf(f789,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( $false = $true )
| ~ spl5_16
| ~ spl5_26 ),
inference(superposition,[],[f770,f495]) ).
thf(f784,plain,
( spl5_26
| ~ spl5_27
| ~ spl5_4
| ~ spl5_18
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f757,f695,f526,f118,f773,f768]) ).
thf(f757,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_4
| ~ spl5_18
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f753]) ).
thf(f753,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_4
| ~ spl5_18
| ~ spl5_25 ),
inference(superposition,[],[f119,f703]) ).
thf(f703,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
= ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) ) ) )
| ~ spl5_18
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f700]) ).
thf(f700,plain,
( ( $false = $true )
| ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
= ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) ) ) )
| ~ spl5_18
| ~ spl5_25 ),
inference(superposition,[],[f527,f697]) ).
thf(f697,plain,
( ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f695]) ).
thf(f781,plain,
( ~ spl5_27
| spl5_23
| ~ spl5_12
| ~ spl5_18
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f742,f695,f526,f354,f678,f773]) ).
thf(f742,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_12
| ~ spl5_18
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f738]) ).
thf(f738,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ~ spl5_12
| ~ spl5_18
| ~ spl5_25 ),
inference(superposition,[],[f355,f703]) ).
thf(f777,plain,
( spl5_24
| spl5_26
| ~ spl5_5
| ~ spl5_6
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f731,f526,f130,f125,f768,f682]) ).
thf(f731,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f730]) ).
thf(f730,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_18 ),
inference(duplicate_literal_removal,[],[f726]) ).
thf(f726,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_5
| ~ spl5_6
| ~ spl5_18 ),
inference(superposition,[],[f131,f661]) ).
thf(f661,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_5
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f656]) ).
thf(f656,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X0 @ ( sK10 @ X0 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) )
| ( $false = $true ) )
| ~ spl5_5
| ~ spl5_18 ),
inference(superposition,[],[f126,f527]) ).
thf(f766,plain,
( ~ spl5_4
| ~ spl5_16
| ~ spl5_17
| ~ spl5_18
| ~ spl5_23
| ~ spl5_24
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[],[f765]) ).
thf(f765,plain,
( $false
| ~ spl5_4
| ~ spl5_16
| ~ spl5_17
| ~ spl5_18
| ~ spl5_23
| ~ spl5_24
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f764]) ).
thf(f764,plain,
( ( $false = $true )
| ~ spl5_4
| ~ spl5_16
| ~ spl5_17
| ~ spl5_18
| ~ spl5_23
| ~ spl5_24
| ~ spl5_25 ),
inference(backward_demodulation,[],[f680,f763]) ).
thf(f763,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_4
| ~ spl5_16
| ~ spl5_17
| ~ spl5_18
| ~ spl5_24
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f760]) ).
thf(f760,plain,
( ( $false
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( $false = $true )
| ~ spl5_4
| ~ spl5_16
| ~ spl5_17
| ~ spl5_18
| ~ spl5_24
| ~ spl5_25 ),
inference(superposition,[],[f495,f758]) ).
thf(f758,plain,
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK14 @ ( sK10 @ sK14 ) ) @ sK3 ) )
| ~ spl5_4
| ~ spl5_17
| ~ spl5_18
| ~ spl5_24
| ~ spl5_25 ),
inference(subsumption_resolution,[],[f757,f689]) ).
thf(f689,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_17
| ~ spl5_24 ),
inference(trivial_inequality_removal,[],[f687]) ).
thf(f687,plain,
( ( ( sK2 @ ( sK14 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ( $false = $true )
| ~ spl5_17
| ~ spl5_24 ),
inference(superposition,[],[f512,f684]) ).
thf(f744,plain,
( spl5_23
| ~ spl5_12
| ~ spl5_17
| ~ spl5_18
| ~ spl5_24
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f743,f695,f682,f526,f511,f354,f678]) ).
thf(f743,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_12
| ~ spl5_17
| ~ spl5_18
| ~ spl5_24
| ~ spl5_25 ),
inference(subsumption_resolution,[],[f742,f689]) ).
thf(f698,plain,
( spl5_23
| spl5_25
| ~ spl5_14
| ~ spl5_17
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f693,f682,f511,f417,f695,f678]) ).
thf(f693,plain,
( ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_14
| ~ spl5_17
| ~ spl5_24 ),
inference(trivial_inequality_removal,[],[f692]) ).
thf(f692,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) @ sK3 )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 )
!= ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) )
| ~ spl5_14
| ~ spl5_17
| ~ spl5_24 ),
inference(superposition,[],[f418,f689]) ).
thf(f685,plain,
( spl5_23
| spl5_24
| ~ spl5_11
| ~ spl5_13
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f676,f526,f401,f307,f682,f678]) ).
thf(f676,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f675]) ).
thf(f675,plain,
( ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_18 ),
inference(duplicate_literal_removal,[],[f674]) ).
thf(f674,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ sK14 ) @ sK4 ) )
| ( ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 )
!= ( sK9 @ sK0 @ sK1 @ sK14 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ sK14 @ sK4 ) @ sK4 )
= $true )
| ~ spl5_11
| ~ spl5_13
| ~ spl5_18 ),
inference(superposition,[],[f308,f655]) ).
thf(f655,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_13
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f650]) ).
thf(f650,plain,
( ! [X0: sK0 > sK1] :
( ( ( sK14 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X0 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X0 ) @ sK4 )
= $true )
| ( $false = $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X0 @ sK4 ) @ sK4 ) ) )
| ~ spl5_13
| ~ spl5_18 ),
inference(superposition,[],[f402,f527]) ).
thf(f623,plain,
( spl5_1
| ~ spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f622]) ).
thf(f622,plain,
( $false
| spl5_1
| ~ spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f621,f106]) ).
thf(f106,plain,
( ( sK12 != sK13 )
| spl5_1 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f621,plain,
( ( sK12 = sK13 )
| ~ spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_18 ),
inference(forward_demodulation,[],[f620,f607]) ).
thf(f607,plain,
( ( ( sK14 @ ( sK2 @ sK12 ) )
= sK12 )
| ~ spl5_8
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f596]) ).
thf(f596,plain,
( ( $false = $true )
| ( ( sK14 @ ( sK2 @ sK12 ) )
= sK12 )
| ~ spl5_8
| ~ spl5_18 ),
inference(superposition,[],[f527,f162]) ).
thf(f620,plain,
( ( ( sK14 @ ( sK2 @ sK12 ) )
= sK13 )
| ~ spl5_7
| ~ spl5_9
| ~ spl5_18 ),
inference(forward_demodulation,[],[f602,f169]) ).
thf(f602,plain,
( ( ( sK14 @ ( sK2 @ sK13 ) )
= sK13 )
| ~ spl5_7
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f597]) ).
thf(f597,plain,
( ( $false = $true )
| ( ( sK14 @ ( sK2 @ sK13 ) )
= sK13 )
| ~ spl5_7
| ~ spl5_18 ),
inference(superposition,[],[f527,f144]) ).
thf(f583,plain,
( spl5_20
| spl5_17 ),
inference(avatar_split_clause,[],[f582,f511,f550]) ).
thf(f582,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) ),
inference(equality_proxy_clausification,[],[f581]) ).
thf(f581,plain,
! [X2: sK0,X1: sK0] :
( ( $true
= ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f580]) ).
thf(f580,plain,
! [X2: sK0,X1: sK0] :
( ( $true
= ( ( 'const/sets/IN' @ sK0 @ X2 @ sK4 )
=> ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f579]) ).
thf(f579,plain,
! [X2: sK0,X1: sK0] :
( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f578]) ).
thf(f578,plain,
! [X1: sK0] :
( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $true
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f572]) ).
thf(f572,plain,
! [X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
= $true )
| ( $true
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f558]) ).
thf(f558,plain,
! [X1: sK0] :
( ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f557]) ).
thf(f557,plain,
! [X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f556]) ).
thf(f556,plain,
! [X1: sK0] :
( ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ ( sK15 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f555]) ).
thf(f555,plain,
! [X1: sK0] :
( ( $true
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f554]) ).
thf(f554,plain,
! [X1: sK0] :
( ( $true
= ( ( 'const/sets/IN' @ sK0 @ X1 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f553]) ).
thf(f553,plain,
! [X1: sK0] :
( ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) )
| ( ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[],[f530]) ).
thf(f530,plain,
( ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) )
= $true )
| ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f474]) ).
thf(f474,plain,
( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) ) )
= $true )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f473]) ).
thf(f473,plain,
( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
= $true )
| ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f472]) ).
thf(f472,plain,
( ( $true
= ( ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) )
@ sK14 ) )
| ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
= $true ) ),
inference(sigma_clausification,[],[f72]) ).
thf(f72,plain,
( ( ( ?? @ ( sK0 > sK1 )
@ ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) ) )
= $true )
| ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
!= ( ?? @ ( sK0 > sK1 )
@ ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f577,plain,
( spl5_19
| spl5_17 ),
inference(avatar_split_clause,[],[f576,f511,f542]) ).
thf(f576,plain,
! [X2: sK0,X1: sK0] :
( ( ( sK2 @ ( sK14 @ X2 ) )
= X2 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f575]) ).
thf(f575,plain,
! [X2: sK0,X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( $true
= ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) ) ),
inference(binary_proxy_clausification,[],[f574]) ).
thf(f574,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $true
= ( ( 'const/sets/IN' @ sK0 @ X2 @ sK4 )
=> ( ( sK2 @ ( sK14 @ X2 ) )
= X2 ) ) ) ),
inference(beta_eta_normalization,[],[f573]) ).
thf(f573,plain,
! [X2: sK0,X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $true
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) )
@ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(pi_clausification,[],[f571]) ).
thf(f571,plain,
! [X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $true
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f558]) ).
thf(f570,plain,
( spl5_18
| spl5_19 ),
inference(avatar_split_clause,[],[f569,f542,f526]) ).
thf(f569,plain,
! [X2: sK1,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( sK14 @ ( sK2 @ X2 ) )
= X2 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f568]) ).
thf(f568,plain,
! [X2: sK1,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $true
= ( ( sK14 @ ( sK2 @ X2 ) )
= X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f562]) ).
thf(f562,plain,
! [X2: sK1,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( ( 'const/sets/IN' @ sK1 @ X2 @ sK3 )
=> ( ( sK14 @ ( sK2 @ X2 ) )
= X2 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f561]) ).
thf(f561,plain,
! [X2: sK1,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) )
| ( ( ( 'const/sets/IN' @ sK1 @ X2 @ sK3 )
=> ( ( sK14 @ ( sK2 @ X2 ) )
= X2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f560]) ).
thf(f560,plain,
! [X2: sK1,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) )
| ( $true
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f559]) ).
thf(f559,plain,
! [X1: sK0] :
( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f557]) ).
thf(f567,plain,
( spl5_20
| spl5_18 ),
inference(avatar_split_clause,[],[f566,f526,f550]) ).
thf(f566,plain,
! [X2: sK1,X1: sK0] :
( ( ( sK14 @ ( sK2 @ X2 ) )
= X2 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f565]) ).
thf(f565,plain,
! [X2: sK1,X1: sK0] :
( ( ( sK14 @ ( sK2 @ X2 ) )
= X2 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
= $true ) ),
inference(equality_proxy_clausification,[],[f564]) ).
thf(f564,plain,
! [X2: sK1,X1: sK0] :
( ( $true
= ( ( sK14 @ ( sK2 @ X2 ) )
= X2 ) )
| ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f563]) ).
thf(f563,plain,
! [X2: sK1,X1: sK0] :
( ( ( ( 'const/sets/IN' @ sK1 @ X2 @ sK3 )
=> ( ( sK14 @ ( sK2 @ X2 ) )
= X2 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f561]) ).
thf(f552,plain,
( spl5_16
| spl5_20 ),
inference(avatar_split_clause,[],[f548,f550,f494]) ).
thf(f548,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK14 @ X2 ) @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f547]) ).
thf(f547,plain,
! [X2: sK0,X1: sK0] :
( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( ( 'const/sets/IN' @ sK0 @ X2 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ X2 ) @ sK3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f546]) ).
thf(f546,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f545]) ).
thf(f545,plain,
! [X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f537]) ).
thf(f537,plain,
! [X1: sK0] :
( ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
= $true )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f535]) ).
thf(f535,plain,
! [X1: sK0] :
( ( $true
= ( ( ( sK2 @ ( sK15 @ X1 ) )
= X1 )
& ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X1: sK0] :
( ( $true
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ ( sK15 @ X1 ) ) )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(sigma_clausification,[],[f533]) ).
thf(f533,plain,
! [X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f532]) ).
thf(f532,plain,
! [X1: sK0] :
( ( $true
= ( ( 'const/sets/IN' @ sK0 @ X1 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= X1 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f531]) ).
thf(f531,plain,
! [X1: sK0] :
( ( ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) )
@ X1 )
= $true )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(pi_clausification,[],[f529]) ).
thf(f529,plain,
( ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) )
= $true )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f474]) ).
thf(f544,plain,
( spl5_19
| spl5_16 ),
inference(avatar_split_clause,[],[f540,f494,f542]) ).
thf(f540,plain,
! [X2: sK0,X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK1 @ ( sK14 @ X2 ) @ sK3 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X2 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f539]) ).
thf(f539,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( ( ( 'const/sets/IN' @ sK0 @ X2 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ X2 ) @ sK3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f538]) ).
thf(f538,plain,
! [X2: sK0,X1: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f536]) ).
thf(f536,plain,
! [X1: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK15 @ X1 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X1 @ sK4 ) )
| ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f535]) ).
thf(f528,plain,
( spl5_15
| spl5_18 ),
inference(avatar_split_clause,[],[f524,f526,f491]) ).
thf(f524,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK2 @ X2 )
!= ( sK2 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f523]) ).
thf(f523,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( X1 = X2 )
| ( $false
= ( ( sK2 @ X1 )
= ( sK2 @ X2 ) ) )
| ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f522]) ).
thf(f522,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) )
| ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( sK2 @ X1 )
= ( sK2 @ X2 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f521]) ).
thf(f521,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( sK2 @ X1 )
= ( sK2 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[],[f520]) ).
thf(f520,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( $false
= ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 ) ) )
| ( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( X2 = X1 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f519]) ).
thf(f519,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( $false
= ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X3 @ sK3 ) )
| ( $true
= ( X2 = X1 ) )
| ( ( ( sK14 @ ( sK2 @ X3 ) )
= X3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f518]) ).
thf(f518,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( ( ( 'const/sets/IN' @ sK1 @ X3 @ sK3 )
=> ( ( sK14 @ ( sK2 @ X3 ) )
= X3 ) )
= $true )
| ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f517]) ).
thf(f517,plain,
! [X2: sK1,X3: sK1,X1: sK1] :
( ( $false
= ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ X3 ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(pi_clausification,[],[f516]) ).
thf(f516,plain,
! [X2: sK1,X1: sK1] :
( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
= $true )
| ( $false
= ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(binary_proxy_clausification,[],[f515]) ).
thf(f515,plain,
! [X2: sK1,X1: sK1] :
( ( $true
= ( ( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
=> ( X2 = X1 ) ) )
| ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f514]) ).
thf(f514,plain,
! [X2: sK1,X1: sK1] :
( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
= $true )
| ( $true
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ X1 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = X1 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f498]) ).
thf(f498,plain,
! [X1: sK1] :
( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ X1 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = X1 ) ) )
= $true )
| ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f479]) ).
thf(f479,plain,
! [X1: sK1] :
( ( $true
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) ) ) )
| ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ X1 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = X1 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f477]) ).
thf(f477,plain,
! [X1: sK1] :
( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) ) )
= $true )
| ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ X1 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ X1 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = X1 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f476]) ).
thf(f476,plain,
! [X1: sK1] :
( ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) ) )
= $true )
| ( $true
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ) ),
inference(pi_clausification,[],[f475]) ).
thf(f475,plain,
( ( $true
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( sK14 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( sK14 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( sK14 @ Y0 ) @ sK3 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f473]) ).
thf(f471,plain,
( spl5_8
| spl5_14
| spl5_10 ),
inference(avatar_split_clause,[],[f467,f214,f417,f160]) ).
thf(f467,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f465]) ).
thf(f465,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f463]) ).
thf(f463,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f462]) ).
thf(f462,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(equality_proxy_clausification,[],[f451]) ).
thf(f451,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f450]) ).
thf(f450,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f439]) ).
thf(f439,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f437]) ).
thf(f437,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f436]) ).
thf(f436,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(sigma_clausification,[],[f435]) ).
thf(f435,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f434]) ).
thf(f434,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(sigma_clausification,[],[f433]) ).
thf(f433,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f432]) ).
thf(f432,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f431]) ).
thf(f431,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f430]) ).
thf(f430,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(sigma_clausification,[],[f387]) ).
thf(f387,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f291]) ).
thf(f291,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f289]) ).
thf(f289,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f288]) ).
thf(f288,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) )
@ sK11 ) ) ),
inference(sigma_clausification,[],[f287]) ).
thf(f287,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f286]) ).
thf(f286,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) ) ),
inference(sigma_clausification,[],[f285]) ).
thf(f285,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f81,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f78]) ).
thf(f78,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( X1 @ Y0 ) @ sK3 ) )
@ ( sK10 @ X1 ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ) ),
inference(sigma_clausification,[],[f77]) ).
thf(f77,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( X1 @ Y0 ) @ sK3 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( X1 @ Y0 ) @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( X1 @ Y0 ) @ sK3 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f74]) ).
thf(f74,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) )
@ X1 ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) ) ) ),
inference(pi_clausification,[],[f73]) ).
thf(f73,plain,
( ( $false
= ( ?? @ ( sK0 > sK1 )
@ ^ [Y0: sK0 > sK1] :
( ( !! @ sK1
@ ^ [Y1: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 )
=> ( ( Y0 @ ( sK2 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( ( sK2 @ ( Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ sK0
@ ^ [Y1: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y1 @ sK4 )
=> ( 'const/sets/IN' @ sK1 @ ( Y0 @ Y1 ) @ sK3 ) ) ) ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f470,plain,
( spl5_14
| spl5_9
| spl5_10 ),
inference(avatar_split_clause,[],[f469,f214,f167,f417]) ).
thf(f469,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f468]) ).
thf(f468,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f465]) ).
thf(f466,plain,
( spl5_14
| spl5_10
| spl5_7 ),
inference(avatar_split_clause,[],[f464,f142,f214,f417]) ).
thf(f464,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f463]) ).
thf(f461,plain,
( spl5_10
| spl5_13
| spl5_9 ),
inference(avatar_split_clause,[],[f460,f167,f401,f214]) ).
thf(f460,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f458]) ).
thf(f458,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f455]) ).
thf(f455,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f453]) ).
thf(f453,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f452]) ).
thf(f452,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f450]) ).
thf(f459,plain,
( spl5_13
| spl5_8
| spl5_10 ),
inference(avatar_split_clause,[],[f457,f214,f160,f401]) ).
thf(f457,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f455]) ).
thf(f456,plain,
( spl5_7
| spl5_13
| spl5_10 ),
inference(avatar_split_clause,[],[f454,f214,f401,f142]) ).
thf(f454,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f453]) ).
thf(f449,plain,
( spl5_10
| spl5_13
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f448,f104,f401,f214]) ).
thf(f448,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK12 != sK13 )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f447]) ).
thf(f447,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f442]) ).
thf(f442,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f440]) ).
thf(f440,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f438]) ).
thf(f438,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( sK13 = sK12 ) ) ),
inference(binary_proxy_clausification,[],[f437]) ).
thf(f446,plain,
( spl5_14
| ~ spl5_1
| spl5_10 ),
inference(avatar_split_clause,[],[f445,f214,f104,f417]) ).
thf(f445,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( sK12 != sK13 )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f444]) ).
thf(f444,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f443]) ).
thf(f443,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK12 != sK13 )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f441]) ).
thf(f441,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( sK13 = sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f440]) ).
thf(f429,plain,
( spl5_14
| spl5_9
| spl5_2 ),
inference(avatar_split_clause,[],[f428,f108,f167,f417]) ).
thf(f428,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f426]) ).
thf(f426,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f424]) ).
thf(f424,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f421]) ).
thf(f421,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f413]) ).
thf(f413,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f395]) ).
thf(f395,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f394]) ).
thf(f394,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) ) ),
inference(beta_eta_normalization,[],[f393]) ).
thf(f393,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(sigma_clausification,[],[f392]) ).
thf(f392,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f391]) ).
thf(f391,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(sigma_clausification,[],[f390]) ).
thf(f390,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(beta_eta_normalization,[],[f389]) ).
thf(f389,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(sigma_clausification,[],[f388]) ).
thf(f388,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f291]) ).
thf(f427,plain,
( spl5_14
| spl5_2
| spl5_8 ),
inference(avatar_split_clause,[],[f425,f160,f108,f417]) ).
thf(f425,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f424]) ).
thf(f423,plain,
( spl5_2
| spl5_14
| spl5_7 ),
inference(avatar_split_clause,[],[f422,f142,f417,f108]) ).
thf(f422,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f420]) ).
thf(f420,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f413]) ).
thf(f419,plain,
( spl5_2
| spl5_14
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f415,f104,f417,f108]) ).
thf(f415,plain,
! [X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f414]) ).
thf(f414,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f412]) ).
thf(f412,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( sK13 = sK12 ) ) ),
inference(binary_proxy_clausification,[],[f395]) ).
thf(f411,plain,
( spl5_7
| spl5_13
| spl5_2 ),
inference(avatar_split_clause,[],[f404,f108,f401,f142]) ).
thf(f404,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f398]) ).
thf(f398,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f396]) ).
thf(f396,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) ) ),
inference(binary_proxy_clausification,[],[f394]) ).
thf(f410,plain,
( spl5_13
| spl5_8
| spl5_2 ),
inference(avatar_split_clause,[],[f406,f108,f160,f401]) ).
thf(f406,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f405]) ).
thf(f405,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f398]) ).
thf(f409,plain,
( spl5_2
| spl5_9
| spl5_13 ),
inference(avatar_split_clause,[],[f408,f401,f167,f108]) ).
thf(f408,plain,
! [X1: sK0 > sK1] :
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f407]) ).
thf(f407,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f405]) ).
thf(f403,plain,
( spl5_13
| spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f399,f104,f108,f401]) ).
thf(f399,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f397]) ).
thf(f397,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f396]) ).
thf(f386,plain,
( spl5_12
| spl5_10
| spl5_7 ),
inference(avatar_split_clause,[],[f385,f142,f214,f354]) ).
thf(f385,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f384]) ).
thf(f384,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f375]) ).
thf(f375,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f374]) ).
thf(f374,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(beta_eta_normalization,[],[f373]) ).
thf(f373,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(pi_clausification,[],[f363]) ).
thf(f363,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f349,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f347]) ).
thf(f347,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f346]) ).
thf(f346,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(sigma_clausification,[],[f345]) ).
thf(f345,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f297]) ).
thf(f297,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f296]) ).
thf(f296,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f295]) ).
thf(f295,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(sigma_clausification,[],[f294]) ).
thf(f294,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(beta_eta_normalization,[],[f293]) ).
thf(f293,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(sigma_clausification,[],[f292]) ).
thf(f292,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f290]) ).
thf(f290,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f289]) ).
thf(f383,plain,
( spl5_9
| spl5_10
| spl5_12 ),
inference(avatar_split_clause,[],[f382,f354,f214,f167]) ).
thf(f382,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f380]) ).
thf(f380,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f378]) ).
thf(f378,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f377]) ).
thf(f377,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f376]) ).
thf(f376,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f374]) ).
thf(f381,plain,
( spl5_8
| spl5_10
| spl5_12 ),
inference(avatar_split_clause,[],[f379,f354,f214,f160]) ).
thf(f379,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f378]) ).
thf(f372,plain,
( spl5_12
| spl5_7
| spl5_2 ),
inference(avatar_split_clause,[],[f365,f108,f142,f354]) ).
thf(f365,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f364]) ).
thf(f364,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f371,plain,
( spl5_8
| spl5_12
| spl5_2 ),
inference(avatar_split_clause,[],[f367,f108,f354,f160]) ).
thf(f367,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f366]) ).
thf(f366,plain,
! [X1: sK0 > sK1] :
( ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f364]) ).
thf(f370,plain,
( spl5_2
| spl5_9
| spl5_12 ),
inference(avatar_split_clause,[],[f369,f354,f167,f108]) ).
thf(f369,plain,
! [X1: sK0 > sK1] :
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f368]) ).
thf(f368,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f366]) ).
thf(f362,plain,
( spl5_10
| ~ spl5_1
| spl5_12 ),
inference(avatar_split_clause,[],[f361,f354,f104,f214]) ).
thf(f361,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f360]) ).
thf(f360,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f359]) ).
thf(f359,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK12 != sK13 )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f358]) ).
thf(f358,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(pi_clausification,[],[f357]) ).
thf(f357,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f350]) ).
thf(f350,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f348]) ).
thf(f348,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( sK13 = sK12 ) ) ),
inference(binary_proxy_clausification,[],[f347]) ).
thf(f356,plain,
( ~ spl5_1
| spl5_12
| spl5_2 ),
inference(avatar_split_clause,[],[f352,f108,f354,f104]) ).
thf(f352,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 ) ),
inference(equality_proxy_clausification,[],[f351]) ).
thf(f351,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( sK13 = sK12 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f348]) ).
thf(f344,plain,
( spl5_8
| spl5_2
| spl5_11 ),
inference(avatar_split_clause,[],[f340,f307,f108,f160]) ).
thf(f340,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f338]) ).
thf(f338,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f316]) ).
thf(f316,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f302]) ).
thf(f302,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f300]) ).
thf(f300,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f299]) ).
thf(f299,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(sigma_clausification,[],[f298]) ).
thf(f298,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f296]) ).
thf(f343,plain,
( spl5_11
| spl5_2
| spl5_9 ),
inference(avatar_split_clause,[],[f342,f167,f108,f307]) ).
thf(f342,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) ) ),
inference(equality_proxy_clausification,[],[f341]) ).
thf(f341,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f338]) ).
thf(f339,plain,
( spl5_11
| spl5_2
| spl5_7 ),
inference(avatar_split_clause,[],[f337,f142,f108,f307]) ).
thf(f337,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f316]) ).
thf(f336,plain,
( spl5_10
| spl5_7
| spl5_11 ),
inference(avatar_split_clause,[],[f335,f307,f142,f214]) ).
thf(f335,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f334]) ).
thf(f334,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f333]) ).
thf(f333,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f332]) ).
thf(f332,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(pi_clausification,[],[f317]) ).
thf(f317,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f315]) ).
thf(f315,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f302]) ).
thf(f331,plain,
( spl5_10
| spl5_9
| spl5_11 ),
inference(avatar_split_clause,[],[f330,f307,f167,f214]) ).
thf(f330,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f329]) ).
thf(f329,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f328]) ).
thf(f328,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) ) ),
inference(beta_eta_normalization,[],[f327]) ).
thf(f327,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(pi_clausification,[],[f326]) ).
thf(f326,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f320]) ).
thf(f320,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f318]) ).
thf(f318,plain,
! [X1: sK0 > sK1] :
( ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f315]) ).
thf(f325,plain,
( spl5_8
| spl5_11
| spl5_10 ),
inference(avatar_split_clause,[],[f324,f214,f307,f160]) ).
thf(f324,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f323]) ).
thf(f323,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f322]) ).
thf(f322,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f321]) ).
thf(f321,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
inference(pi_clausification,[],[f319]) ).
thf(f319,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f318]) ).
thf(f314,plain,
( spl5_11
| ~ spl5_1
| spl5_10 ),
inference(avatar_split_clause,[],[f313,f214,f104,f307]) ).
thf(f313,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( sK12 != sK13 ) ),
inference(equality_proxy_clausification,[],[f312]) ).
thf(f312,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( sK12 != sK13 ) ),
inference(binary_proxy_clausification,[],[f311]) ).
thf(f311,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK12 != sK13 ) ),
inference(beta_eta_normalization,[],[f310]) ).
thf(f310,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK12 != sK13 )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f304]) ).
thf(f304,plain,
! [X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f303]) ).
thf(f303,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK12 != sK13 )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f301]) ).
thf(f301,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f300]) ).
thf(f309,plain,
( ~ spl5_1
| spl5_11
| spl5_2 ),
inference(avatar_split_clause,[],[f305,f108,f307,f104]) ).
thf(f305,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK10 @ X1 ) @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f303]) ).
thf(f284,plain,
( spl5_5
| ~ spl5_1
| spl5_10 ),
inference(avatar_split_clause,[],[f283,f214,f104,f125]) ).
thf(f283,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK12 != sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f273]) ).
thf(f273,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( sK13 = sK12 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f272]) ).
thf(f272,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f271]) ).
thf(f271,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(sigma_clausification,[],[f270]) ).
thf(f270,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f269]) ).
thf(f269,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) ) ),
inference(beta_eta_normalization,[],[f268]) ).
thf(f268,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(sigma_clausification,[],[f249]) ).
thf(f249,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f247]) ).
thf(f247,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(beta_eta_normalization,[],[f246]) ).
thf(f246,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(sigma_clausification,[],[f198]) ).
thf(f198,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f196]) ).
thf(f196,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f195]) ).
thf(f195,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f194]) ).
thf(f194,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(sigma_clausification,[],[f193]) ).
thf(f193,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( ( sK2 @ X2 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f192]) ).
thf(f192,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
@ X2 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(pi_clausification,[],[f85]) ).
thf(f85,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f84,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y0: sK1] :
( ( ( sK2 @ Y0 )
= sK11 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) ) ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) )
@ sK11 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(sigma_clausification,[],[f80]) ).
thf(f80,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ?? @ sK1
@ ^ [Y1: sK1] :
( ( ( sK2 @ Y1 )
= Y0 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) )
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f282,plain,
( spl5_5
| spl5_7
| spl5_10 ),
inference(avatar_split_clause,[],[f275,f214,f142,f125]) ).
thf(f275,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f274]) ).
thf(f274,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f272]) ).
thf(f281,plain,
( spl5_10
| spl5_8
| spl5_5 ),
inference(avatar_split_clause,[],[f277,f125,f160,f214]) ).
thf(f277,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f276]) ).
thf(f276,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f274]) ).
thf(f280,plain,
( spl5_10
| spl5_9
| spl5_5 ),
inference(avatar_split_clause,[],[f279,f125,f167,f214]) ).
thf(f279,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) ) ),
inference(equality_proxy_clausification,[],[f278]) ).
thf(f278,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f276]) ).
thf(f267,plain,
( spl5_9
| spl5_10
| spl5_6 ),
inference(avatar_split_clause,[],[f266,f130,f214,f167]) ).
thf(f266,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f264]) ).
thf(f264,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f261]) ).
thf(f261,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f257]) ).
thf(f257,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f255]) ).
thf(f255,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(beta_eta_normalization,[],[f254]) ).
thf(f254,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(sigma_clausification,[],[f253]) ).
thf(f253,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(beta_eta_normalization,[],[f252]) ).
thf(f252,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(sigma_clausification,[],[f251]) ).
thf(f251,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f250]) ).
thf(f250,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f248]) ).
thf(f248,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f247]) ).
thf(f265,plain,
( spl5_8
| spl5_6
| spl5_10 ),
inference(avatar_split_clause,[],[f263,f214,f130,f160]) ).
thf(f263,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f261]) ).
thf(f262,plain,
( spl5_10
| spl5_7
| spl5_6 ),
inference(avatar_split_clause,[],[f260,f130,f142,f214]) ).
thf(f260,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f257]) ).
thf(f259,plain,
( ~ spl5_1
| spl5_6
| spl5_10 ),
inference(avatar_split_clause,[],[f258,f214,f130,f104]) ).
thf(f258,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( sK12 != sK13 )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f256]) ).
thf(f256,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( sK13 = sK12 ) ) ),
inference(binary_proxy_clausification,[],[f255]) ).
thf(f245,plain,
( spl5_7
| spl5_10
| spl5_4 ),
inference(avatar_split_clause,[],[f244,f118,f214,f142]) ).
thf(f244,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f241]) ).
thf(f241,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f240]) ).
thf(f240,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f239]) ).
thf(f239,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[],[f238]) ).
thf(f238,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(sigma_clausification,[],[f237]) ).
thf(f237,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f218]) ).
thf(f218,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f204]) ).
thf(f204,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f202]) ).
thf(f202,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f201]) ).
thf(f201,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(sigma_clausification,[],[f200]) ).
thf(f200,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(beta_eta_normalization,[],[f199]) ).
thf(f199,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(sigma_clausification,[],[f197]) ).
thf(f197,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(binary_proxy_clausification,[],[f196]) ).
thf(f243,plain,
( spl5_3
| spl5_7
| spl5_10 ),
inference(avatar_split_clause,[],[f242,f214,f142,f112]) ).
thf(f242,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f240]) ).
thf(f236,plain,
( spl5_9
| spl5_10
| spl5_4 ),
inference(avatar_split_clause,[],[f235,f118,f214,f167]) ).
thf(f235,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f233]) ).
thf(f233,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f231]) ).
thf(f231,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f224]) ).
thf(f224,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f223]) ).
thf(f223,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f222]) ).
thf(f222,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f221]) ).
thf(f221,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f220]) ).
thf(f220,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(sigma_clausification,[],[f219]) ).
thf(f219,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f204]) ).
thf(f234,plain,
( spl5_8
| spl5_10
| spl5_4 ),
inference(avatar_split_clause,[],[f232,f118,f214,f160]) ).
thf(f232,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f231]) ).
thf(f230,plain,
( spl5_9
| spl5_10
| spl5_3 ),
inference(avatar_split_clause,[],[f229,f112,f214,f167]) ).
thf(f229,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f227]) ).
thf(f227,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f225]) ).
thf(f225,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( sK11
!= ( sK2 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f223]) ).
thf(f228,plain,
( spl5_10
| spl5_8
| spl5_3 ),
inference(avatar_split_clause,[],[f226,f112,f160,f214]) ).
thf(f226,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f225]) ).
thf(f217,plain,
( spl5_10
| ~ spl5_1
| spl5_3 ),
inference(avatar_split_clause,[],[f211,f112,f104,f214]) ).
thf(f211,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK12 != sK13 ) ),
inference(binary_proxy_clausification,[],[f209]) ).
thf(f209,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK12 != sK13 )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f208]) ).
thf(f208,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK12 != sK13 )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) ) ),
inference(sigma_clausification,[],[f207]) ).
thf(f207,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( sK12 != sK13 ) ),
inference(equality_proxy_clausification,[],[f206]) ).
thf(f206,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f205]) ).
thf(f205,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f203]) ).
thf(f203,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK11 ) ) ),
inference(binary_proxy_clausification,[],[f202]) ).
thf(f216,plain,
( ~ spl5_1
| spl5_4
| spl5_10 ),
inference(avatar_split_clause,[],[f212,f214,f118,f104]) ).
thf(f212,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f210]) ).
thf(f210,plain,
! [X2: sK1,X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK11
!= ( sK2 @ X2 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( sK12 != sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ X2 @ sK3 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f209]) ).
thf(f191,plain,
( spl5_8
| spl5_6
| spl5_2 ),
inference(avatar_split_clause,[],[f190,f108,f130,f160]) ).
thf(f190,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f187]) ).
thf(f187,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f178]) ).
thf(f178,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f153]) ).
thf(f153,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f134]) ).
thf(f134,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f96,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f94]) ).
thf(f94,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f93]) ).
thf(f93,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(sigma_clausification,[],[f92]) ).
thf(f92,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(beta_eta_normalization,[],[f91]) ).
thf(f91,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) )
@ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(sigma_clausification,[],[f90]) ).
thf(f90,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
=> ( sK13 = sK12 ) ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f89]) ).
thf(f89,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) )
@ sK13 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(sigma_clausification,[],[f88]) ).
thf(f88,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ Y0 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 ) )
=> ( Y0 = sK12 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f87]) ).
thf(f87,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) )
@ sK12 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(sigma_clausification,[],[f86]) ).
thf(f86,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( !! @ sK1
@ ^ [Y1: sK1] :
( ( ( ( sK2 @ Y0 )
= ( sK2 @ Y1 ) )
& ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
& ( 'const/sets/IN' @ sK1 @ Y1 @ sK3 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( !! @ sK1
@ ^ [Y0: sK1] :
( ( 'const/sets/IN' @ sK1 @ Y0 @ sK3 )
=> ( ( X1 @ ( sK2 @ Y0 ) )
= Y0 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK4 )
=> ( ( sK2 @ ( X1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f189,plain,
( spl5_2
| spl5_8
| spl5_5 ),
inference(avatar_split_clause,[],[f188,f125,f160,f108]) ).
thf(f188,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f178]) ).
thf(f186,plain,
( spl5_9
| spl5_2
| spl5_6 ),
inference(avatar_split_clause,[],[f185,f130,f108,f167]) ).
thf(f185,plain,
! [X1: sK0 > sK1] :
( ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f184]) ).
thf(f184,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f180]) ).
thf(f180,plain,
! [X1: sK0 > sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f179]) ).
thf(f179,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f153]) ).
thf(f183,plain,
( spl5_2
| spl5_5
| spl5_9 ),
inference(avatar_split_clause,[],[f182,f167,f125,f108]) ).
thf(f182,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f181]) ).
thf(f181,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f179]) ).
thf(f177,plain,
( spl5_8
| spl5_4
| spl5_2 ),
inference(avatar_split_clause,[],[f173,f108,f118,f160]) ).
thf(f173,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f172]) ).
thf(f172,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f171]) ).
thf(f171,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f154]) ).
thf(f154,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f152]) ).
thf(f152,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(binary_proxy_clausification,[],[f134]) ).
thf(f176,plain,
( spl5_9
| spl5_2
| spl5_4 ),
inference(avatar_split_clause,[],[f175,f118,f108,f167]) ).
thf(f175,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) ) ),
inference(equality_proxy_clausification,[],[f174]) ).
thf(f174,plain,
! [X1: sK0 > sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f172]) ).
thf(f170,plain,
( spl5_3
| spl5_2
| spl5_9 ),
inference(avatar_split_clause,[],[f165,f167,f108,f112]) ).
thf(f165,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f164]) ).
thf(f164,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK2 @ sK13 )
= ( sK2 @ sK12 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f157]) ).
thf(f157,plain,
! [X1: sK0 > sK1] :
( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f155,plain,
! [X1: sK0 > sK1] :
( ( ( ( ( sK2 @ sK12 )
= ( sK2 @ sK13 ) )
& ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
= $true )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f152]) ).
thf(f163,plain,
( spl5_2
| spl5_8
| spl5_3 ),
inference(avatar_split_clause,[],[f158,f112,f160,f108]) ).
thf(f158,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f156]) ).
thf(f156,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK12 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f151,plain,
( spl5_5
| spl5_7
| spl5_2 ),
inference(avatar_split_clause,[],[f148,f108,f142,f125]) ).
thf(f148,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f136,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f133]) ).
thf(f133,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f150,plain,
( spl5_3
| spl5_2
| spl5_7 ),
inference(avatar_split_clause,[],[f149,f142,f108,f112]) ).
thf(f149,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f147]) ).
thf(f147,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f146,plain,
( spl5_2
| spl5_7
| spl5_6 ),
inference(avatar_split_clause,[],[f139,f130,f142,f108]) ).
thf(f139,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f137,plain,
! [X1: sK0 > sK1] :
( ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) ) ),
inference(equality_proxy_clausification,[],[f135]) ).
thf(f135,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f133]) ).
thf(f145,plain,
( spl5_7
| spl5_2
| spl5_4 ),
inference(avatar_split_clause,[],[f140,f118,f108,f142]) ).
thf(f140,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f138]) ).
thf(f138,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ sK13 @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f132,plain,
( ~ spl5_1
| spl5_2
| spl5_6 ),
inference(avatar_split_clause,[],[f128,f130,f108,f104]) ).
thf(f128,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f122]) ).
thf(f122,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f121]) ).
thf(f121,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( sK12 != sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f98]) ).
thf(f98,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f95,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
=> ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f94]) ).
thf(f127,plain,
( ~ spl5_1
| spl5_5
| spl5_2 ),
inference(avatar_split_clause,[],[f123,f108,f125,f104]) ).
thf(f123,plain,
! [X1: sK0 > sK1] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) @ sK4 )
= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( sK12 != sK13 )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f121]) ).
thf(f120,plain,
( spl5_4
| spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f116,f104,f108,f118]) ).
thf(f116,plain,
! [X1: sK0 > sK1] :
( ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
!= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(equality_proxy_clausification,[],[f115]) ).
thf(f115,plain,
! [X1: sK0 > sK1] :
( ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f100]) ).
thf(f100,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( sK12 != sK13 ) ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( sK12 != sK13 ) ),
inference(equality_proxy_clausification,[],[f97]) ).
thf(f97,plain,
! [X1: sK0 > sK1] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( sK13 = sK12 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( $false
= ( ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 )
=> ( ( X1 @ ( sK2 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) )
= ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f114,plain,
( ~ spl5_1
| spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f102,f112,f108,f104]) ).
thf(f102,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) )
| ( ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 )
!= ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( sK12 != sK13 ) ),
inference(equality_proxy_clausification,[],[f101]) ).
thf(f101,plain,
! [X1: sK0 > sK1] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ sK11 @ sK4 ) )
| ( $false
= ( ( sK2 @ ( X1 @ ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
= ( sK9 @ sK1 @ sK0 @ sK2 @ X1 @ sK4 ) ) )
| ( sK12 != sK13 )
| ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK9 @ sK0 @ sK1 @ X1 @ sK2 @ sK3 ) @ sK3 ) )
| ( $false
= ( 'const/sets/IN' @ sK1 @ ( X1 @ ( sK10 @ X1 ) ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEV471^1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n023.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 12:12:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH1_THM_EQU_NAR problem
% 0.16/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.AfttyptXSh/Vampire---4.8_8748
% 0.16/0.39 % (8861)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.16/0.39 % (8862)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.16/0.40 % (8856)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.16/0.40 % (8863)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.40 % (8860)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.40 % Exception at run slice level
% 0.16/0.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.16/0.40 % (8863)Instruction limit reached!
% 0.16/0.40 % (8863)------------------------------
% 0.16/0.40 % (8863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8863)Termination reason: Unknown
% 0.16/0.40 % (8863)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (8863)Memory used [KB]: 1023
% 0.16/0.40 % (8863)Time elapsed: 0.003 s
% 0.16/0.40 % (8863)Instructions burned: 4 (million)
% 0.16/0.40 % (8863)------------------------------
% 0.16/0.40 % (8863)------------------------------
% 0.16/0.40 % (8862)Instruction limit reached!
% 0.16/0.40 % (8862)------------------------------
% 0.16/0.40 % (8862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8862)Termination reason: Unknown
% 0.16/0.40 % (8862)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (8862)Memory used [KB]: 5628
% 0.16/0.40 % (8862)Time elapsed: 0.010 s
% 0.16/0.40 % (8862)Instructions burned: 19 (million)
% 0.16/0.40 % (8862)------------------------------
% 0.16/0.40 % (8862)------------------------------
% 0.16/0.40 % (8859)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.40 % (8859)Instruction limit reached!
% 0.16/0.40 % (8859)------------------------------
% 0.16/0.40 % (8859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8859)Termination reason: Unknown
% 0.16/0.40 % (8859)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (8859)Memory used [KB]: 1023
% 0.16/0.40 % (8859)Time elapsed: 0.003 s
% 0.16/0.40 % (8859)Instructions burned: 2 (million)
% 0.16/0.40 % (8859)------------------------------
% 0.16/0.40 % (8859)------------------------------
% 0.23/0.41 % (8857)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 Vampire---4 for (2999ds/4Mi)
% 0.23/0.41 % (8857)Instruction limit reached!
% 0.23/0.41 % (8857)------------------------------
% 0.23/0.41 % (8857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (8857)Termination reason: Unknown
% 0.23/0.41 % (8857)Termination phase: Preprocessing 3
% 0.23/0.41
% 0.23/0.41 % (8857)Memory used [KB]: 1023
% 0.23/0.41 % (8857)Time elapsed: 0.004 s
% 0.23/0.41 % (8857)Instructions burned: 4 (million)
% 0.23/0.41 % (8857)------------------------------
% 0.23/0.41 % (8857)------------------------------
% 0.23/0.41 % (8858)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 Vampire---4 for (2999ds/27Mi)
% 0.23/0.41 % (8865)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 Vampire---4 for (2999ds/15Mi)
% 0.23/0.41 % (8866)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.41 % (8864)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 Vampire---4 for (2999ds/37Mi)
% 0.23/0.41 % (8866)Instruction limit reached!
% 0.23/0.41 % (8866)------------------------------
% 0.23/0.41 % (8866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (8866)Termination reason: Unknown
% 0.23/0.41 % (8866)Termination phase: Property scanning
% 0.23/0.41
% 0.23/0.41 % (8866)Memory used [KB]: 1023
% 0.23/0.41 % (8866)Time elapsed: 0.002 s
% 0.23/0.41 % (8866)Instructions burned: 3 (million)
% 0.23/0.41 % (8866)------------------------------
% 0.23/0.41 % (8866)------------------------------
% 0.23/0.41 % Exception at run slice level
% 0.23/0.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.42 % (8867)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 Vampire---4 for (2999ds/1041Mi)
% 0.23/0.42 % (8865)Instruction limit reached!
% 0.23/0.42 % (8865)------------------------------
% 0.23/0.42 % (8865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (8865)Termination reason: Unknown
% 0.23/0.42 % (8865)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (8865)Memory used [KB]: 5756
% 0.23/0.42 % (8865)Time elapsed: 0.009 s
% 0.23/0.42 % (8865)Instructions burned: 15 (million)
% 0.23/0.42 % (8865)------------------------------
% 0.23/0.42 % (8865)------------------------------
% 0.23/0.42 % Exception at run slice level
% 0.23/0.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.43 % (8858)Instruction limit reached!
% 0.23/0.43 % (8858)------------------------------
% 0.23/0.43 % (8858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (8858)Termination reason: Unknown
% 0.23/0.43 % (8858)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (8858)Memory used [KB]: 5628
% 0.23/0.43 % (8858)Time elapsed: 0.017 s
% 0.23/0.43 % (8858)Instructions burned: 27 (million)
% 0.23/0.43 % (8858)------------------------------
% 0.23/0.43 % (8858)------------------------------
% 0.23/0.43 % (8868)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.43 % (8868)Instruction limit reached!
% 0.23/0.43 % (8868)------------------------------
% 0.23/0.43 % (8868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (8868)Termination reason: Unknown
% 0.23/0.43 % (8868)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (8868)Memory used [KB]: 1023
% 0.23/0.43 % (8868)Time elapsed: 0.004 s
% 0.23/0.43 % (8868)Instructions burned: 7 (million)
% 0.23/0.43 % (8868)------------------------------
% 0.23/0.43 % (8868)------------------------------
% 0.23/0.43 % (8869)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.23/0.43 % (8870)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.43 % (8870)Instruction limit reached!
% 0.23/0.43 % (8870)------------------------------
% 0.23/0.43 % (8870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (8870)Termination reason: Unknown
% 0.23/0.43 % (8870)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (8870)Memory used [KB]: 1023
% 0.23/0.43 % (8870)Time elapsed: 0.003 s
% 0.23/0.43 % (8870)Instructions burned: 4 (million)
% 0.23/0.43 % (8870)------------------------------
% 0.23/0.43 % (8870)------------------------------
% 0.23/0.43 % (8871)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.43 % (8872)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.43 % (8871)Instruction limit reached!
% 0.23/0.43 % (8871)------------------------------
% 0.23/0.43 % (8871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (8871)Termination reason: Unknown
% 0.23/0.43 % (8871)Termination phase: Preprocessing 3
% 0.23/0.43
% 0.23/0.43 % (8871)Memory used [KB]: 1023
% 0.23/0.43 % (8871)Time elapsed: 0.003 s
% 0.23/0.43 % (8871)Instructions burned: 3 (million)
% 0.23/0.43 % (8871)------------------------------
% 0.23/0.43 % (8871)------------------------------
% 0.23/0.44 % (8869)Instruction limit reached!
% 0.23/0.44 % (8869)------------------------------
% 0.23/0.44 % (8869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (8869)Termination reason: Unknown
% 0.23/0.44 % (8869)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (8869)Memory used [KB]: 5500
% 0.23/0.44 % (8869)Time elapsed: 0.011 s
% 0.23/0.44 % (8869)Instructions burned: 17 (million)
% 0.23/0.44 % (8869)------------------------------
% 0.23/0.44 % (8869)------------------------------
% 0.23/0.44 % (8872)Instruction limit reached!
% 0.23/0.44 % (8872)------------------------------
% 0.23/0.44 % (8872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (8872)Termination reason: Unknown
% 0.23/0.44 % (8872)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (8872)Memory used [KB]: 5500
% 0.23/0.44 % (8872)Time elapsed: 0.006 s
% 0.23/0.44 % (8872)Instructions burned: 8 (million)
% 0.23/0.44 % (8872)------------------------------
% 0.23/0.44 % (8872)------------------------------
% 0.23/0.44 % (8873)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.44 % Exception at run slice level
% 0.23/0.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.44 % (8874)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.23/0.44 % (8874)Instruction limit reached!
% 0.23/0.44 % (8874)------------------------------
% 0.23/0.44 % (8874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (8874)Termination reason: Unknown
% 0.23/0.44 % (8874)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (8874)Memory used [KB]: 1023
% 0.23/0.44 % (8874)Time elapsed: 0.003 s
% 0.23/0.44 % (8874)Instructions burned: 5 (million)
% 0.23/0.44 % (8874)------------------------------
% 0.23/0.44 % (8874)------------------------------
% 0.23/0.45 % (8876)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.23/0.45 % (8875)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.45 % (8877)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.45 % (8878)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 Vampire---4 for (2999ds/902Mi)
% 0.23/0.46 % (8877)Instruction limit reached!
% 0.23/0.46 % (8877)------------------------------
% 0.23/0.46 % (8877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (8877)Termination reason: Unknown
% 0.23/0.46 % (8877)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (8877)Memory used [KB]: 5500
% 0.23/0.46 % (8877)Time elapsed: 0.005 s
% 0.23/0.46 % (8877)Instructions burned: 7 (million)
% 0.23/0.46 % (8877)------------------------------
% 0.23/0.46 % (8877)------------------------------
% 0.23/0.46 % (8875)Instruction limit reached!
% 0.23/0.46 % (8875)------------------------------
% 0.23/0.46 % (8875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (8875)Termination reason: Unknown
% 0.23/0.46 % (8875)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (8875)Memory used [KB]: 5500
% 0.23/0.46 % (8875)Time elapsed: 0.010 s
% 0.23/0.46 % (8875)Instructions burned: 19 (million)
% 0.23/0.46 % (8879)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 Vampire---4 for (2999ds/21Mi)
% 0.23/0.46 % (8875)------------------------------
% 0.23/0.46 % (8875)------------------------------
% 0.23/0.46 % (8880)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.46 % (8881)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 Vampire---4 for (2999ds/6Mi)
% 0.23/0.47 % Exception at run slice level
% 0.23/0.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.47 % (8879)Instruction limit reached!
% 0.23/0.47 % (8879)------------------------------
% 0.23/0.47 % (8879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (8879)Termination reason: Unknown
% 0.23/0.47 % (8879)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (8879)Memory used [KB]: 5628
% 0.23/0.47 % (8879)Time elapsed: 0.015 s
% 0.23/0.47 % (8879)Instructions burned: 22 (million)
% 0.23/0.47 % (8879)------------------------------
% 0.23/0.47 % (8879)------------------------------
% 0.23/0.47 % (8882)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.23/0.47 % (8884)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 Vampire---4 for (2999ds/19Mi)
% 0.23/0.47 % Exception at run slice level
% 0.23/0.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.48 % (8883)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 Vampire---4 for (2999ds/779Mi)
% 0.23/0.48 % Exception at run slice level
% 0.23/0.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.48 % (8885)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.23/0.48 % (8886)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.23/0.48 % (8856)Instruction limit reached!
% 0.23/0.48 % (8856)------------------------------
% 0.23/0.48 % (8856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (8856)Termination reason: Unknown
% 0.23/0.48 % (8856)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (8856)Memory used [KB]: 6268
% 0.23/0.48 % (8856)Time elapsed: 0.089 s
% 0.23/0.48 % (8856)Instructions burned: 184 (million)
% 0.23/0.48 % (8856)------------------------------
% 0.23/0.48 % (8856)------------------------------
% 0.23/0.49 % (8886)Instruction limit reached!
% 0.23/0.49 % (8886)------------------------------
% 0.23/0.49 % (8886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (8886)Termination reason: Unknown
% 0.23/0.49 % (8886)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (8886)Memory used [KB]: 5500
% 0.23/0.49 % (8886)Time elapsed: 0.006 s
% 0.23/0.49 % (8886)Instructions burned: 17 (million)
% 0.23/0.49 % (8886)------------------------------
% 0.23/0.49 % (8886)------------------------------
% 0.23/0.49 % (8887)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.49 % (8887)Instruction limit reached!
% 0.23/0.49 % (8887)------------------------------
% 0.23/0.49 % (8887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (8887)Termination reason: Unknown
% 0.23/0.49 % (8887)Termination phase: Property scanning
% 0.23/0.49
% 0.23/0.49 % (8887)Memory used [KB]: 1023
% 0.23/0.49 % (8887)Time elapsed: 0.003 s
% 0.23/0.49 % (8887)Instructions burned: 4 (million)
% 0.23/0.49 % (8887)------------------------------
% 0.23/0.49 % (8887)------------------------------
% 0.23/0.50 % (8889)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.23/0.50 % (8888)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.23/0.51 % (8890)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.23/0.51 % (8888)Instruction limit reached!
% 0.23/0.51 % (8888)------------------------------
% 0.23/0.51 % (8888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (8888)Termination reason: Unknown
% 0.23/0.51 % (8888)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (8888)Memory used [KB]: 5628
% 0.23/0.51 % (8888)Time elapsed: 0.017 s
% 0.23/0.51 % (8888)Instructions burned: 31 (million)
% 0.23/0.51 % (8888)------------------------------
% 0.23/0.51 % (8888)------------------------------
% 0.23/0.52 % (8861)Instruction limit reached!
% 0.23/0.52 % (8861)------------------------------
% 0.23/0.52 % (8861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (8861)Termination reason: Unknown
% 0.23/0.52 % (8861)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (8861)Memory used [KB]: 6524
% 0.23/0.52 % (8861)Time elapsed: 0.125 s
% 0.23/0.52 % (8861)Instructions burned: 277 (million)
% 0.23/0.52 % (8861)------------------------------
% 0.23/0.52 % (8861)------------------------------
% 0.23/0.53 % (8892)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 Vampire---4 for (2998ds/20Mi)
% 0.23/0.53 % (8891)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 Vampire---4 for (2998ds/3Mi)
% 0.23/0.53 % Exception at run slice level
% 0.23/0.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.54 % (8892)Instruction limit reached!
% 0.23/0.54 % (8892)------------------------------
% 0.23/0.54 % (8892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (8892)Termination reason: Unknown
% 0.23/0.54 % (8892)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (8892)Memory used [KB]: 5628
% 0.23/0.54 % (8892)Time elapsed: 0.010 s
% 0.23/0.54 % (8892)Instructions burned: 20 (million)
% 0.23/0.54 % (8892)------------------------------
% 0.23/0.54 % (8892)------------------------------
% 0.23/0.54 % (8889)Instruction limit reached!
% 0.23/0.54 % (8889)------------------------------
% 0.23/0.54 % (8889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (8889)Termination reason: Unknown
% 0.23/0.54 % (8889)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (8889)Memory used [KB]: 6140
% 0.23/0.54 % (8889)Time elapsed: 0.047 s
% 0.23/0.54 % (8889)Instructions burned: 129 (million)
% 0.23/0.54 % (8889)------------------------------
% 0.23/0.54 % (8889)------------------------------
% 0.23/0.55 % (8893)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 Vampire---4 for (2998ds/86Mi)
% 0.23/0.55 % (8890)Instruction limit reached!
% 0.23/0.55 % (8890)------------------------------
% 0.23/0.55 % (8890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55 % (8890)Termination reason: Unknown
% 0.23/0.55 % (8890)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (8890)Memory used [KB]: 5756
% 0.23/0.55 % (8890)Time elapsed: 0.044 s
% 0.23/0.55 % (8890)Instructions burned: 100 (million)
% 0.23/0.55 % (8890)------------------------------
% 0.23/0.55 % (8890)------------------------------
% 0.23/0.55 % (8895)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 Vampire---4 for (2998ds/39Mi)
% 0.23/0.55 % Exception at run slice level
% 0.23/0.55 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.55 % (8894)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 Vampire---4 for (2998ds/107Mi)
% 0.23/0.56 % (8897)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 Vampire---4 for (2998ds/46Mi)
% 0.23/0.56 % (8896)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 Vampire---4 for (2998ds/448Mi)
% 0.23/0.56 % Exception at run slice level
% 0.23/0.56 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.57 % (8898)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 Vampire---4 for (2998ds/98Mi)
% 0.23/0.57 % Exception at run slice level
% 0.23/0.57 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.57 % (8897)Instruction limit reached!
% 0.23/0.57 % (8897)------------------------------
% 0.23/0.57 % (8897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.57 % (8897)Termination reason: Unknown
% 0.23/0.58 % (8897)Termination phase: Saturation
% 0.23/0.58
% 0.23/0.58 % (8897)Memory used [KB]: 5884
% 0.23/0.58 % (8897)Time elapsed: 0.017 s
% 0.23/0.58 % (8897)Instructions burned: 46 (million)
% 0.23/0.58 % (8897)------------------------------
% 0.23/0.58 % (8897)------------------------------
% 1.58/0.58 % (8899)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 Vampire---4 for (2998ds/507Mi)
% 1.58/0.58 % (8900)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 Vampire---4 for (2998ds/149Mi)
% 1.58/0.59 % (8899)Refutation not found, incomplete strategy
% 1.58/0.59 % (8899)------------------------------
% 1.58/0.59 % (8899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.59 % (8899)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.59
% 1.58/0.59
% 1.58/0.59 % (8899)Memory used [KB]: 5628
% 1.58/0.59 % (8899)Time elapsed: 0.006 s
% 1.58/0.59 % (8899)Instructions burned: 14 (million)
% 1.58/0.59 % (8899)------------------------------
% 1.58/0.59 % (8899)------------------------------
% 1.58/0.59 % (8893)Instruction limit reached!
% 1.58/0.59 % (8893)------------------------------
% 1.58/0.59 % (8893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.59 % (8893)Termination reason: Unknown
% 1.58/0.59 % (8893)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (8893)Memory used [KB]: 6140
% 1.58/0.59 % (8893)Time elapsed: 0.063 s
% 1.58/0.59 % (8893)Instructions burned: 87 (million)
% 1.58/0.59 % (8893)------------------------------
% 1.58/0.59 % (8893)------------------------------
% 1.58/0.60 % (8901)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 1.58/0.60 % (8902)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 1.58/0.60 % (8894)Instruction limit reached!
% 1.58/0.60 % (8894)------------------------------
% 1.58/0.60 % (8894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.60 % (8894)Termination reason: Unknown
% 1.58/0.60 % (8894)Termination phase: Saturation
% 1.58/0.60
% 1.58/0.60 % (8894)Memory used [KB]: 6268
% 1.58/0.60 % Exception at run slice level% (8894)Time elapsed: 0.049 s
% 1.58/0.60 % (8894)Instructions burned: 108 (million)
% 1.58/0.60 % (8894)------------------------------
% 1.58/0.60 % (8894)------------------------------
% 1.58/0.60
% 1.58/0.60 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.78/0.61 % (8901)Instruction limit reached!
% 1.78/0.61 % (8901)------------------------------
% 1.78/0.61 % (8901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.61 % (8901)Termination reason: Unknown
% 1.78/0.61 % (8901)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (8901)Memory used [KB]: 5628
% 1.78/0.61 % (8901)Time elapsed: 0.012 s
% 1.78/0.61 % (8901)Instructions burned: 40 (million)
% 1.78/0.61 % (8901)------------------------------
% 1.78/0.61 % (8901)------------------------------
% 1.78/0.61 % (8906)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 1.78/0.61 % Exception at run slice level
% 1.78/0.61 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.78/0.62 % (8904)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2998ds/1087Mi)
% 1.78/0.62 % (8905)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2998ds/47Mi)
% 1.78/0.62 % (8907)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 1.78/0.62 % Exception at run slice level
% 1.78/0.62 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.78/0.63 % (8908)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 1.78/0.63 % Exception at run slice level
% 1.78/0.63 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.98/0.64 % (8905)Instruction limit reached!
% 1.98/0.64 % (8905)------------------------------
% 1.98/0.64 % (8905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.64 % (8905)Termination reason: Unknown
% 1.98/0.64 % (8905)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (8905)Memory used [KB]: 5628
% 1.98/0.64 % (8905)Time elapsed: 0.021 s
% 1.98/0.64 % (8905)Instructions burned: 47 (million)
% 1.98/0.64 % (8905)------------------------------
% 1.98/0.64 % (8905)------------------------------
% 1.98/0.64 % (8900)Instruction limit reached!
% 1.98/0.64 % (8900)------------------------------
% 1.98/0.64 % (8900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.64 % (8900)Termination reason: Unknown
% 1.98/0.64 % (8900)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (8900)Memory used [KB]: 6012
% 1.98/0.64 % (8900)Time elapsed: 0.078 s
% 1.98/0.64 % (8900)Instructions burned: 149 (million)
% 1.98/0.64 % (8900)------------------------------
% 1.98/0.64 % (8900)------------------------------
% 1.98/0.64 % (8909)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2997ds/31Mi)
% 1.98/0.65 % (8910)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2997ds/96Mi)
% 1.98/0.65 % (8909)Instruction limit reached!
% 1.98/0.65 % (8909)------------------------------
% 1.98/0.65 % (8909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.65 % (8909)Termination reason: Unknown
% 1.98/0.65 % (8909)Termination phase: Saturation
% 1.98/0.65
% 1.98/0.65 % (8909)Memory used [KB]: 5628
% 1.98/0.65 % (8909)Time elapsed: 0.012 s
% 1.98/0.65 % (8909)Instructions burned: 33 (million)
% 1.98/0.65 % (8909)------------------------------
% 1.98/0.65 % (8909)------------------------------
% 1.98/0.66 % (8911)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2997ds/453Mi)
% 1.98/0.66 % Exception at run slice level
% 1.98/0.66 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.98/0.66 % (8912)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2997ds/71Mi)
% 1.98/0.66 % (8882)Instruction limit reached!
% 1.98/0.66 % (8882)------------------------------
% 1.98/0.66 % (8882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.66 % (8882)Termination reason: Unknown
% 1.98/0.66 % (8882)Termination phase: Saturation
% 1.98/0.66
% 1.98/0.66 % (8882)Memory used [KB]: 7036
% 1.98/0.66 % (8882)Time elapsed: 0.189 s
% 1.98/0.66 % (8882)Instructions burned: 378 (million)
% 1.98/0.66 % (8882)------------------------------
% 1.98/0.66 % (8882)------------------------------
% 1.98/0.67 % (8913)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2997ds/83Mi)
% 1.98/0.68 % (8910)Instruction limit reached!
% 1.98/0.68 % (8910)------------------------------
% 1.98/0.68 % (8910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.68 % (8910)Termination reason: Unknown
% 1.98/0.68 % (8910)Termination phase: Saturation
% 1.98/0.68
% 1.98/0.68 % (8910)Memory used [KB]: 6012
% 1.98/0.68 % (8910)Time elapsed: 0.034 s
% 1.98/0.68 % (8910)Instructions burned: 98 (million)
% 1.98/0.68 % (8910)------------------------------
% 1.98/0.68 % (8910)------------------------------
% 1.98/0.68 % (8912)Instruction limit reached!
% 1.98/0.68 % (8912)------------------------------
% 1.98/0.68 % (8912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.68 % (8912)Termination reason: Unknown
% 1.98/0.68 % (8912)Termination phase: Saturation
% 1.98/0.68
% 1.98/0.68 % (8912)Memory used [KB]: 5884
% 1.98/0.68 % (8912)Time elapsed: 0.025 s
% 1.98/0.68 % (8912)Instructions burned: 73 (million)
% 1.98/0.68 % (8912)------------------------------
% 1.98/0.68 % (8912)------------------------------
% 1.98/0.69 % (8914)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2997ds/11Mi)
% 1.98/0.69 % Exception at run slice level
% 1.98/0.69 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.98/0.69 % (8915)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (2997ds/41Mi)
% 1.98/0.69 % (8916)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 1.98/0.69 % Exception at run slice level
% 1.98/0.69 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.98/0.69 % (8916)Instruction limit reached!
% 1.98/0.69 % (8916)------------------------------
% 1.98/0.69 % (8916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.69 % (8916)Termination reason: Unknown
% 1.98/0.69 % (8916)Termination phase: Saturation
% 1.98/0.69
% 1.98/0.69 % (8916)Memory used [KB]: 5500
% 1.98/0.69 % (8916)Time elapsed: 0.004 s
% 1.98/0.69 % (8916)Instructions burned: 9 (million)
% 1.98/0.69 % (8916)------------------------------
% 1.98/0.69 % (8916)------------------------------
% 1.98/0.70 % (8918)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (2997ds/343Mi)
% 1.98/0.70 % (8919)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on Vampire---4 for (2996ds/109Mi)
% 1.98/0.70 % (8917)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2997ds/150Mi)
% 1.98/0.70 % (8913)Instruction limit reached!
% 1.98/0.70 % (8913)------------------------------
% 1.98/0.70 % (8913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.70 % (8913)Termination reason: Unknown
% 1.98/0.70 % (8913)Termination phase: Saturation
% 1.98/0.70
% 1.98/0.70 % (8913)Memory used [KB]: 6140
% 1.98/0.70 % (8913)Time elapsed: 0.037 s
% 1.98/0.70 % (8913)Instructions burned: 84 (million)
% 1.98/0.70 % (8913)------------------------------
% 1.98/0.70 % (8913)------------------------------
% 1.98/0.72 % (8920)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on Vampire---4 for (2996ds/253Mi)
% 2.56/0.73 % (8919)Instruction limit reached!
% 2.56/0.73 % (8919)------------------------------
% 2.56/0.73 % (8919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.73 % (8919)Termination reason: Unknown
% 2.56/0.73 % (8919)Termination phase: Saturation
% 2.56/0.73
% 2.56/0.73 % (8919)Memory used [KB]: 6140
% 2.56/0.73 % (8919)Time elapsed: 0.035 s
% 2.56/0.73 % (8919)Instructions burned: 111 (million)
% 2.56/0.73 % (8919)------------------------------
% 2.56/0.73 % (8919)------------------------------
% 2.56/0.74 % (8921)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (2996ds/140Mi)
% 2.56/0.76 % (8876)Instruction limit reached!
% 2.56/0.76 % (8876)------------------------------
% 2.56/0.76 % (8876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.76 % (8876)Termination reason: Unknown
% 2.56/0.76 % (8876)Termination phase: Saturation
% 2.56/0.76
% 2.56/0.76 % (8876)Memory used [KB]: 7547
% 2.56/0.76 % (8876)Time elapsed: 0.317 s
% 2.56/0.76 % (8876)Instructions burned: 710 (million)
% 2.56/0.76 % (8876)------------------------------
% 2.56/0.76 % (8876)------------------------------
% 2.56/0.77 % (8917)Instruction limit reached!
% 2.56/0.77 % (8917)------------------------------
% 2.56/0.77 % (8917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.77 % (8917)Termination reason: Unknown
% 2.56/0.77 % (8917)Termination phase: Saturation
% 2.56/0.77
% 2.56/0.77 % (8917)Memory used [KB]: 6140
% 2.56/0.77 % (8917)Time elapsed: 0.073 s
% 2.56/0.77 % (8917)Instructions burned: 150 (million)
% 2.56/0.77 % (8917)------------------------------
% 2.56/0.77 % (8917)------------------------------
% 2.56/0.78 % (8922)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on Vampire---4 for (2996ds/614Mi)
% 2.56/0.78 % (8878)Instruction limit reached!
% 2.56/0.78 % (8878)------------------------------
% 2.56/0.78 % (8878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.78 % (8878)Termination reason: Unknown
% 2.56/0.78 % (8878)Termination phase: Saturation
% 2.56/0.78
% 2.56/0.78 % (8878)Memory used [KB]: 8187
% 2.56/0.78 % (8878)Time elapsed: 0.341 s
% 2.56/0.78 % (8878)Instructions burned: 904 (million)
% 2.56/0.78 % (8878)------------------------------
% 2.56/0.78 % (8878)------------------------------
% 2.56/0.78 % (8921)Instruction limit reached!
% 2.56/0.78 % (8921)------------------------------
% 2.56/0.78 % (8921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.78 % (8921)Termination reason: Unknown
% 2.56/0.78 % (8921)Termination phase: Saturation
% 2.56/0.78
% 2.56/0.78 % (8921)Memory used [KB]: 6140
% 2.56/0.78 % (8921)Time elapsed: 0.043 s
% 2.56/0.78 % (8921)Instructions burned: 142 (million)
% 2.56/0.78 % (8921)------------------------------
% 2.56/0.78 % (8921)------------------------------
% 2.56/0.79 % (8923)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on Vampire---4 for (2996ds/202Mi)
% 2.89/0.79 % (8924)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on Vampire---4 for (2996ds/339Mi)
% 2.89/0.79 % (8925)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=283:si=on:rtra=on_0 on Vampire---4 for (2996ds/283Mi)
% 2.89/0.79 % Exception at run slice level
% 2.89/0.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.89/0.80 % (8926)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (2996ds/134Mi)
% 2.89/0.82 % (8918)Instruction limit reached!
% 2.89/0.82 % (8918)------------------------------
% 2.89/0.82 % (8918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.82 % (8918)Termination reason: Unknown
% 2.89/0.82 % (8918)Termination phase: Saturation
% 2.89/0.82
% 2.89/0.82 % (8918)Memory used [KB]: 7164
% 2.89/0.82 % (8918)Time elapsed: 0.119 s
% 2.89/0.82 % (8918)Instructions burned: 344 (million)
% 2.89/0.82 % (8918)------------------------------
% 2.89/0.82 % (8918)------------------------------
% 2.89/0.82 % (8927)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on Vampire---4 for (2995ds/298Mi)
% 2.89/0.83 % Exception at run slice level
% 2.89/0.83 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.89/0.83 % (8920)Instruction limit reached!
% 2.89/0.83 % (8920)------------------------------
% 2.89/0.83 % (8920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.83 % (8920)Termination reason: Unknown
% 2.89/0.83 % (8920)Termination phase: Saturation
% 2.89/0.83
% 2.89/0.83 % (8920)Memory used [KB]: 6396
% 2.89/0.83 % (8920)Time elapsed: 0.111 s
% 2.89/0.83 % (8920)Instructions burned: 254 (million)
% 2.89/0.83 % (8920)------------------------------
% 2.89/0.83 % (8920)------------------------------
% 2.89/0.83 % (8931)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (2995ds/192Mi)
% 2.89/0.84 % (8933)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on Vampire---4 for (2995ds/258Mi)
% 2.89/0.84 % (8926)Instruction limit reached!
% 2.89/0.84 % (8926)------------------------------
% 2.89/0.84 % (8926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.84 % (8926)Termination reason: Unknown
% 2.89/0.84 % (8926)Termination phase: Saturation
% 2.89/0.84
% 2.89/0.84 % (8926)Memory used [KB]: 6268
% 2.89/0.84 % (8926)Time elapsed: 0.045 s
% 2.89/0.84 % (8926)Instructions burned: 135 (million)
% 2.89/0.84 % (8926)------------------------------
% 2.89/0.84 % (8926)------------------------------
% 2.89/0.85 % (8935)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (2995ds/90Mi)
% 3.29/0.86 % (8885)Instruction limit reached!
% 3.29/0.86 % (8885)------------------------------
% 3.29/0.86 % (8885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.86 % (8885)Termination reason: Unknown
% 3.29/0.86 % (8885)Termination phase: Saturation
% 3.29/0.86
% 3.29/0.86 % (8885)Memory used [KB]: 8059
% 3.29/0.86 % (8885)Time elapsed: 0.379 s
% 3.29/0.86 % (8885)Instructions burned: 880 (million)
% 3.29/0.86 % (8885)------------------------------
% 3.29/0.86 % (8885)------------------------------
% 3.30/0.86 % (8936)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on Vampire---4 for (2995ds/231Mi)
% 3.30/0.87 % Exception at run slice level
% 3.30/0.87 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.30/0.87 % (8937)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on Vampire---4 for (2995ds/458Mi)
% 3.30/0.88 % (8935)Instruction limit reached!
% 3.30/0.88 % (8935)------------------------------
% 3.30/0.88 % (8935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.30/0.88 % (8935)Termination reason: Unknown
% 3.30/0.88 % (8935)Termination phase: Saturation
% 3.30/0.88
% 3.30/0.88 % (8935)Memory used [KB]: 6140
% 3.30/0.88 % (8935)Time elapsed: 0.031 s
% 3.30/0.88 % (8935)Instructions burned: 91 (million)
% 3.30/0.88 % (8935)------------------------------
% 3.30/0.88 % (8935)------------------------------
% 3.30/0.88 % (8923)Instruction limit reached!
% 3.30/0.88 % (8923)------------------------------
% 3.30/0.88 % (8923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.30/0.88 % (8923)Termination reason: Unknown
% 3.30/0.88 % (8923)Termination phase: Saturation
% 3.30/0.88
% 3.30/0.88 % (8923)Memory used [KB]: 6652
% 3.30/0.88 % (8923)Time elapsed: 0.097 s
% 3.30/0.88 % (8923)Instructions burned: 203 (million)
% 3.30/0.88 % (8923)------------------------------
% 3.30/0.88 % (8923)------------------------------
% 3.30/0.89 % (8938)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2995ds/31Mi)
% 3.30/0.90 % (8939)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (2995ds/297Mi)
% 3.30/0.90 % (8931)Instruction limit reached!
% 3.30/0.90 % (8931)------------------------------
% 3.30/0.90 % (8931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.30/0.90 % (8931)Termination reason: Unknown
% 3.30/0.90 % (8931)Termination phase: Saturation
% 3.30/0.90
% 3.30/0.90 % (8931)Memory used [KB]: 6396
% 3.30/0.90 % (8931)Time elapsed: 0.065 s
% 3.30/0.90 % (8931)Instructions burned: 193 (million)
% 3.30/0.90 % (8931)------------------------------
% 3.30/0.90 % (8931)------------------------------
% 3.30/0.90 % Exception at run slice level
% 3.30/0.90 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.30/0.90 % (8938)Instruction limit reached!
% 3.30/0.90 % (8938)------------------------------
% 3.30/0.90 % (8938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.30/0.90 % (8938)Termination reason: Unknown
% 3.30/0.90 % (8938)Termination phase: Saturation
% 3.30/0.90
% 3.30/0.90 % (8938)Memory used [KB]: 5756
% 3.30/0.90 % (8938)Time elapsed: 0.012 s
% 3.30/0.90 % (8938)Instructions burned: 33 (million)
% 3.30/0.90 % (8938)------------------------------
% 3.30/0.90 % (8938)------------------------------
% 3.56/0.91 % (8940)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on Vampire---4 for (2995ds/987Mi)
% 3.56/0.91 % (8941)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on Vampire---4 for (2995ds/182Mi)
% 3.56/0.91 % Exception at run slice level
% 3.56/0.91 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.56/0.91 % (8942)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on Vampire---4 for (2994ds/182Mi)
% 3.56/0.91 % (8943)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on Vampire---4 for (2994ds/154Mi)
% 3.56/0.91 % Exception at run slice level
% 3.56/0.91 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.56/0.92 % (8924)Instruction limit reached!
% 3.56/0.92 % (8924)------------------------------
% 3.56/0.92 % (8924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.56/0.92 % (8924)Termination reason: Unknown
% 3.56/0.92 % (8924)Termination phase: Saturation
% 3.56/0.92
% 3.56/0.92 % (8924)Memory used [KB]: 7036
% 3.56/0.92 % (8924)Time elapsed: 0.126 s
% 3.56/0.92 % (8924)Instructions burned: 339 (million)
% 3.56/0.92 % (8924)------------------------------
% 3.56/0.92 % (8924)------------------------------
% 3.56/0.92 % (8944)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on Vampire---4 for (2994ds/79Mi)
% 3.56/0.92 % (8945)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on Vampire---4 for (2994ds/216Mi)
% 3.56/0.92 % Exception at run slice level
% 3.56/0.92 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.56/0.93 % (8933)Instruction limit reached!
% 3.56/0.93 % (8933)------------------------------
% 3.56/0.93 % (8933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.56/0.93 % (8933)Termination reason: Unknown
% 3.56/0.93 % (8933)Termination phase: Saturation
% 3.56/0.93
% 3.56/0.93 % (8933)Memory used [KB]: 6396
% 3.56/0.93 % (8933)Time elapsed: 0.108 s
% 3.56/0.93 % (8933)Instructions burned: 258 (million)
% 3.56/0.93 % (8933)------------------------------
% 3.56/0.93 % (8933)------------------------------
% 3.56/0.93 % (8946)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on Vampire---4 for (2994ds/114Mi)
% 3.56/0.93 % (8947)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on Vampire---4 for (2994ds/922Mi)
% 3.81/0.95 % (8944)Instruction limit reached!
% 3.81/0.95 % (8944)------------------------------
% 3.81/0.95 % (8944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.95 % (8944)Termination reason: Unknown
% 3.81/0.95 % (8944)Termination phase: Saturation
% 3.81/0.95
% 3.81/0.95 % (8944)Memory used [KB]: 6012
% 3.81/0.95 % (8944)Time elapsed: 0.047 s
% 3.81/0.95 % (8944)Instructions burned: 82 (million)
% 3.81/0.95 % (8944)------------------------------
% 3.81/0.95 % (8944)------------------------------
% 3.81/0.95 % (8948)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on Vampire---4 for (2994ds/182Mi)
% 3.81/0.95 % Exception at run slice level
% 3.81/0.95 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.81/0.96 % (8941)Instruction limit reached!
% 3.81/0.96 % (8941)------------------------------
% 3.81/0.96 % (8941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.96 % (8941)Termination reason: Unknown
% 3.81/0.96 % (8941)Termination phase: Saturation
% 3.81/0.96
% 3.81/0.96 % (8941)Memory used [KB]: 6652
% 3.81/0.96 % (8941)Time elapsed: 0.077 s
% 3.81/0.96 % (8941)Instructions burned: 184 (million)
% 3.81/0.96 % (8941)------------------------------
% 3.81/0.96 % (8941)------------------------------
% 3.81/0.96 % (8942)Instruction limit reached!
% 3.81/0.96 % (8942)------------------------------
% 3.81/0.96 % (8942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.96 % (8942)Termination reason: Unknown
% 3.81/0.96 % (8942)Termination phase: Saturation
% 3.81/0.96
% 3.81/0.96 % (8942)Memory used [KB]: 6012
% 3.81/0.96 % (8942)Time elapsed: 0.077 s
% 3.81/0.96 % (8942)Instructions burned: 185 (million)
% 3.81/0.96 % (8942)------------------------------
% 3.81/0.96 % (8942)------------------------------
% 3.81/0.96 % (8949)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on Vampire---4 for (2994ds/164Mi)
% 3.81/0.97 % (8946)Instruction limit reached!
% 3.81/0.97 % (8946)------------------------------
% 3.81/0.97 % (8946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.97 % (8946)Termination reason: Unknown
% 3.81/0.97 % (8946)Termination phase: Saturation
% 3.81/0.97
% 3.81/0.97 % (8946)Memory used [KB]: 6652
% 3.81/0.97 % (8946)Time elapsed: 0.060 s
% 3.81/0.97 % (8946)Instructions burned: 116 (million)
% 3.81/0.97 % (8946)------------------------------
% 3.81/0.97 % (8946)------------------------------
% 3.81/0.97 % (8950)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on Vampire---4 for (2994ds/50Mi)
% 3.81/0.97 % Exception at run slice level
% 3.81/0.97 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.81/0.97 % (8951)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (2994ds/368Mi)
% 3.81/0.98 % (8952)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (2994ds/1021Mi)
% 3.81/0.98 % (8953)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on Vampire---4 for (2994ds/267Mi)
% 3.81/0.98 % Exception at run slice level
% 3.81/0.98 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.81/0.99 % (8954)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (2994ds/204Mi)
% 3.81/1.01 % (8922)Instruction limit reached!
% 3.81/1.01 % (8922)------------------------------
% 3.81/1.01 % (8922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/1.01 % (8949)Instruction limit reached!
% 3.81/1.01 % (8949)------------------------------
% 3.81/1.01 % (8949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/1.01 % (8949)Termination reason: Unknown
% 3.81/1.01 % (8949)Termination phase: Saturation
% 3.81/1.01
% 3.81/1.01 % (8949)Memory used [KB]: 1407
% 3.81/1.01 % (8949)Time elapsed: 0.071 s
% 3.81/1.01 % (8949)Instructions burned: 165 (million)
% 3.81/1.01 % (8949)------------------------------
% 3.81/1.01 % (8949)------------------------------
% 3.81/1.01 % (8922)Termination reason: Unknown
% 3.81/1.01 % (8922)Termination phase: Saturation
% 3.81/1.01
% 3.81/1.01 % (8922)Memory used [KB]: 6780
% 3.81/1.01 % (8922)Time elapsed: 0.235 s
% 3.81/1.01 % (8922)Instructions burned: 615 (million)
% 3.81/1.01 % (8922)------------------------------
% 3.81/1.01 % (8922)------------------------------
% 3.81/1.02 % (8904)Instruction limit reached!
% 3.81/1.02 % (8904)------------------------------
% 3.81/1.02 % (8904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/1.02 % (8904)Termination reason: Unknown
% 3.81/1.02 % (8904)Termination phase: Saturation
% 3.81/1.02
% 3.81/1.02 % (8904)Memory used [KB]: 7675
% 3.81/1.02 % (8904)Time elapsed: 0.426 s
% 3.81/1.02 % (8904)Instructions burned: 1087 (million)
% 3.81/1.02 % (8904)------------------------------
% 3.81/1.02 % (8904)------------------------------
% 3.81/1.02 % (8955)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2993ds/26Mi)
% 3.81/1.02 % (8956)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on Vampire---4 for (2993ds/53Mi)
% 3.81/1.02 % Exception at run slice level
% 3.81/1.02 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.81/1.02 % Exception at run slice level
% 3.81/1.02 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 3.81/1.03 % (8958)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on Vampire---4 for (2993ds/4436Mi)
% 3.81/1.03 % (8959)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (2993ds/1539Mi)
% 3.81/1.03 % (8960)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on Vampire---4 for (2993ds/408Mi)
% 4.76/1.05 % (8954)Instruction limit reached!
% 4.76/1.05 % (8954)------------------------------
% 4.76/1.05 % (8954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.76/1.05 % (8954)Termination reason: Unknown
% 4.76/1.05 % (8954)Termination phase: Saturation
% 4.76/1.05
% 4.76/1.05 % (8954)Memory used [KB]: 6396
% 4.76/1.05 % (8954)Time elapsed: 0.066 s
% 4.76/1.05 % (8954)Instructions burned: 204 (million)
% 4.76/1.05 % (8954)------------------------------
% 4.76/1.05 % (8954)------------------------------
% 4.76/1.05 % (8937)Instruction limit reached!
% 4.76/1.05 % (8937)------------------------------
% 4.76/1.05 % (8937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.76/1.05 % (8937)Termination reason: Unknown
% 4.76/1.05 % (8937)Termination phase: Saturation
% 4.76/1.05
% 4.76/1.05 % (8937)Memory used [KB]: 6652
% 4.76/1.05 % (8937)Time elapsed: 0.181 s
% 4.76/1.05 % (8937)Instructions burned: 461 (million)
% 4.76/1.05 % (8937)------------------------------
% 4.76/1.05 % (8937)------------------------------
% 4.76/1.06 % (8974)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on Vampire---4 for (2993ds/5205Mi)
% 4.76/1.06 % Exception at run slice level
% 4.76/1.06 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 4.76/1.06 % (8976)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on Vampire---4 for (2993ds/1913Mi)
% 4.76/1.07 % (8980)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on Vampire---4 for (2993ds/4350Mi)
% 4.76/1.09 % (8951)Instruction limit reached!
% 4.76/1.09 % (8951)------------------------------
% 4.76/1.09 % (8951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.76/1.09 % (8951)Termination reason: Unknown
% 4.76/1.09 % (8951)Termination phase: Saturation
% 4.76/1.09
% 4.76/1.09 % (8951)Memory used [KB]: 6780
% 4.76/1.09 % (8951)Time elapsed: 0.119 s
% 4.76/1.09 % (8951)Instructions burned: 371 (million)
% 4.76/1.09 % (8951)------------------------------
% 4.76/1.09 % (8951)------------------------------
% 5.03/1.10 % (8992)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on Vampire---4 for (2993ds/68Mi)
% 5.03/1.12 % (8992)Instruction limit reached!
% 5.03/1.12 % (8992)------------------------------
% 5.03/1.12 % (8992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.03/1.12 % (8992)Termination reason: Unknown
% 5.03/1.12 % (8992)Termination phase: Saturation
% 5.03/1.12
% 5.03/1.12 % (8992)Memory used [KB]: 5884
% 5.03/1.12 % (8992)Time elapsed: 0.021 s
% 5.03/1.12 % (8992)Instructions burned: 69 (million)
% 5.03/1.12 % (8992)------------------------------
% 5.03/1.12 % (8992)------------------------------
% 5.03/1.12 % (9005)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on Vampire---4 for (2992ds/358Mi)
% 5.03/1.15 % (8960)Instruction limit reached!
% 5.03/1.15 % (8960)------------------------------
% 5.03/1.15 % (8960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.03/1.15 % (8960)Termination reason: Unknown
% 5.03/1.15 % (8960)Termination phase: Saturation
% 5.03/1.15
% 5.03/1.15 % (8960)Memory used [KB]: 7036
% 5.03/1.15 % (8960)Time elapsed: 0.126 s
% 5.03/1.15 % (8960)Instructions burned: 408 (million)
% 5.03/1.15 % (8960)------------------------------
% 5.03/1.15 % (8960)------------------------------
% 5.03/1.16 % (9021)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2992ds/31Mi)
% 6.32/1.18 % (9021)Instruction limit reached!
% 6.32/1.18 % (9021)------------------------------
% 6.32/1.18 % (9021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.32/1.18 % (9021)Termination reason: Unknown
% 6.32/1.18 % (9021)Termination phase: Saturation
% 6.32/1.18
% 6.32/1.18 % (9021)Memory used [KB]: 5756
% 6.32/1.18 % (9021)Time elapsed: 0.014 s
% 6.32/1.18 % (9021)Instructions burned: 31 (million)
% 6.32/1.18 % (9021)------------------------------
% 6.32/1.18 % (9021)------------------------------
% 6.32/1.19 % (9036)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (2992ds/279Mi)
% 6.32/1.19 % Exception at run slice level
% 6.32/1.19 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.32/1.20 % (9044)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on Vampire---4 for (2992ds/258Mi)
% 6.32/1.21 % (8947)Instruction limit reached!
% 6.32/1.21 % (8947)------------------------------
% 6.32/1.21 % (8947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.32/1.21 % (8947)Termination reason: Unknown
% 6.32/1.21 % (8947)Termination phase: Saturation
% 6.32/1.21
% 6.32/1.21 % (8947)Memory used [KB]: 7036
% 6.32/1.21 % (8947)Time elapsed: 0.304 s
% 6.32/1.21 % (8947)Instructions burned: 923 (million)
% 6.32/1.21 % (8947)------------------------------
% 6.32/1.21 % (8947)------------------------------
% 6.62/1.22 % (9062)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2991ds/26Mi)
% 6.62/1.22 % Exception at run slice level
% 6.62/1.22 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.62/1.23 % (9068)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on Vampire---4 for (2991ds/995Mi)
% 6.62/1.23 % Exception at run slice level
% 6.62/1.23 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.62/1.23 % (9005)Instruction limit reached!
% 6.62/1.23 % (9005)------------------------------
% 6.62/1.23 % (9005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.62/1.23 % (9005)Termination reason: Unknown
% 6.62/1.23 % (9005)Termination phase: Saturation
% 6.62/1.23
% 6.62/1.23 % (9005)Memory used [KB]: 6524
% 6.62/1.23 % (9005)Time elapsed: 0.111 s
% 6.62/1.23 % (9005)Instructions burned: 360 (million)
% 6.62/1.23 % (9005)------------------------------
% 6.62/1.23 % (9005)------------------------------
% 6.77/1.24 % (9075)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on Vampire---4 for (2991ds/373Mi)
% 6.77/1.24 % (9076)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on Vampire---4 for (2991ds/253Mi)
% 6.77/1.24 % Exception at run slice level
% 6.77/1.24 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.77/1.25 % (9086)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on Vampire---4 for (2991ds/832Mi)
% 6.77/1.28 % (9044)Instruction limit reached!
% 6.77/1.28 % (9044)------------------------------
% 6.77/1.28 % (9044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.28 % (9044)Termination reason: Unknown
% 6.77/1.28 % (9044)Termination phase: Saturation
% 6.77/1.28
% 6.77/1.28 % (9044)Memory used [KB]: 6652
% 6.77/1.28 % (9044)Time elapsed: 0.082 s
% 6.77/1.28 % (9044)Instructions burned: 258 (million)
% 6.77/1.28 % (9044)------------------------------
% 6.77/1.28 % (9044)------------------------------
% 6.77/1.29 % (9104)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (2991ds/668Mi)
% 6.77/1.29 % Exception at run slice level
% 6.77/1.29 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.77/1.29 % (9111)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=40:si=on:rtra=on_0 on Vampire---4 for (2991ds/40Mi)
% 6.77/1.29 % Exception at run slice level
% 6.77/1.29 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.77/1.30 % (8952)Instruction limit reached!
% 6.77/1.30 % (8952)------------------------------
% 6.77/1.30 % (8952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.30 % (8952)Termination reason: Unknown
% 6.77/1.30 % (8952)Termination phase: Saturation
% 6.77/1.30
% 6.77/1.30 % (8952)Memory used [KB]: 7036
% 6.77/1.30 % (8952)Time elapsed: 0.328 s
% 6.77/1.30 % (8952)Instructions burned: 1022 (million)
% 6.77/1.30 % (8952)------------------------------
% 6.77/1.30 % (8952)------------------------------
% 6.77/1.30 % (9114)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (2990ds/294Mi)
% 6.77/1.30 % Exception at run slice level
% 6.77/1.30 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.77/1.31 % (9117)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on Vampire---4 for (2990ds/187Mi)
% 6.77/1.31 % (9119)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (2990ds/371Mi)
% 7.29/1.35 % (9075)Instruction limit reached!
% 7.29/1.35 % (9075)------------------------------
% 7.29/1.35 % (9075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.29/1.35 % (9075)Termination reason: Unknown
% 7.29/1.35 % (9075)Termination phase: Saturation
% 7.29/1.35
% 7.29/1.35 % (9075)Memory used [KB]: 6396
% 7.29/1.35 % (9075)Time elapsed: 0.119 s
% 7.29/1.35 % (9075)Instructions burned: 374 (million)
% 7.29/1.35 % (9075)------------------------------
% 7.29/1.35 % (9075)------------------------------
% 7.29/1.36 % (9133)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on Vampire---4 for (2990ds/1827Mi)
% 7.29/1.37 % (9117)Instruction limit reached!
% 7.29/1.37 % (9117)------------------------------
% 7.29/1.37 % (9117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.29/1.37 % (9117)Termination reason: Unknown
% 7.29/1.37 % (9117)Termination phase: Saturation
% 7.29/1.37
% 7.29/1.37 % (9117)Memory used [KB]: 6780
% 7.29/1.37 % (9117)Time elapsed: 0.057 s
% 7.29/1.37 % (9117)Instructions burned: 189 (million)
% 7.29/1.37 % (9117)------------------------------
% 7.29/1.37 % (9117)------------------------------
% 7.29/1.37 % (9134)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (2990ds/70Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.73/1.38 % (9135)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on Vampire---4 for (2990ds/316Mi)
% 7.73/1.38 % Exception at run slice level
% 7.73/1.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.73/1.39 % (9139)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on Vampire---4 for (2990ds/932Mi)
% 7.73/1.39 % Exception at run slice level
% 7.73/1.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.73/1.40 % (9144)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on Vampire---4 for (2990ds/4714Mi)
% 7.73/1.40 % Exception at run slice level
% 7.73/1.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.73/1.41 % (9147)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on Vampire---4 for (2989ds/8250Mi)
% 7.73/1.43 % (9119)Instruction limit reached!
% 7.73/1.43 % (9119)------------------------------
% 7.73/1.43 % (9119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.73/1.43 % (9119)Termination reason: Unknown
% 7.73/1.43 % (9119)Termination phase: Saturation
% 7.73/1.43
% 7.73/1.43 % (9119)Memory used [KB]: 7547
% 7.73/1.43 % (9119)Time elapsed: 0.120 s
% 7.73/1.43 % (9119)Instructions burned: 371 (million)
% 7.73/1.43 % (9119)------------------------------
% 7.73/1.43 % (9119)------------------------------
% 7.73/1.44 % (9157)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on Vampire---4 for (2989ds/770Mi)
% 8.28/1.49 % (8959)Instruction limit reached!
% 8.28/1.49 % (8959)------------------------------
% 8.28/1.49 % (8959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.28/1.49 % (8959)Termination reason: Unknown
% 8.28/1.49 % (8959)Termination phase: Saturation
% 8.28/1.49
% 8.28/1.49 % (8959)Memory used [KB]: 8699
% 8.28/1.49 % (8959)Time elapsed: 0.468 s
% 8.28/1.49 % (8959)Instructions burned: 1541 (million)
% 8.28/1.49 % (8959)------------------------------
% 8.28/1.49 % (8959)------------------------------
% 8.28/1.50 % (9178)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (2989ds/794Mi)
% 8.28/1.51 % (9086)Instruction limit reached!
% 8.28/1.51 % (9086)------------------------------
% 8.28/1.51 % (9086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.28/1.51 % (9086)Termination reason: Unknown
% 8.28/1.51 % (9086)Termination phase: Saturation
% 8.28/1.51
% 8.28/1.51 % (9086)Memory used [KB]: 7291
% 8.28/1.51 % (9086)Time elapsed: 0.263 s
% 8.28/1.51 % (9086)Instructions burned: 834 (million)
% 8.28/1.51 % (9086)------------------------------
% 8.28/1.51 % (9086)------------------------------
% 8.68/1.52 % (9188)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on Vampire---4 for (2988ds/464Mi)
% 8.99/1.63 % (8976)Instruction limit reached!
% 8.99/1.63 % (8976)------------------------------
% 8.99/1.63 % (8976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.99/1.63 % (8976)Termination reason: Unknown
% 8.99/1.63 % (8976)Termination phase: Saturation
% 8.99/1.63
% 8.99/1.63 % (8976)Memory used [KB]: 2942
% 8.99/1.63 % (8976)Time elapsed: 0.561 s
% 8.99/1.63 % (8976)Instructions burned: 1913 (million)
% 8.99/1.63 % (8976)------------------------------
% 8.99/1.63 % (8976)------------------------------
% 8.99/1.64 % (9219)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on Vampire---4 for (2987ds/1376Mi)
% 8.99/1.64 % Exception at run slice level
% 8.99/1.64 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.99/1.64 % (9220)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (2987ds/906Mi)
% 8.99/1.67 % (9188)Instruction limit reached!
% 8.99/1.67 % (9188)------------------------------
% 8.99/1.67 % (9188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.99/1.67 % (9188)Termination reason: Unknown
% 8.99/1.67 % (9188)Termination phase: Saturation
% 8.99/1.67
% 8.99/1.67 % (9188)Memory used [KB]: 6908
% 8.99/1.67 % (9188)Time elapsed: 0.152 s
% 8.99/1.67 % (9188)Instructions burned: 466 (million)
% 8.99/1.67 % (9188)------------------------------
% 8.99/1.67 % (9188)------------------------------
% 8.99/1.67 % (9157)Instruction limit reached!
% 8.99/1.67 % (9157)------------------------------
% 8.99/1.67 % (9157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.99/1.67 % (9157)Termination reason: Unknown
% 8.99/1.67 % (9157)Termination phase: Saturation
% 8.99/1.67
% 8.99/1.67 % (9157)Memory used [KB]: 7164
% 8.99/1.67 % (9157)Time elapsed: 0.236 s
% 8.99/1.67 % (9157)Instructions burned: 773 (million)
% 8.99/1.67 % (9157)------------------------------
% 8.99/1.67 % (9157)------------------------------
% 8.99/1.68 % (9221)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on Vampire---4 for (2987ds/434Mi)
% 10.39/1.69 % (9222)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on Vampire---4 for (2987ds/865Mi)
% 10.39/1.74 % (9178)Instruction limit reached!
% 10.39/1.74 % (9178)------------------------------
% 10.39/1.74 % (9178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.39/1.74 % (9178)Termination reason: Unknown
% 10.39/1.74 % (9178)Termination phase: Saturation
% 10.39/1.74
% 10.39/1.74 % (9178)Memory used [KB]: 3326
% 10.39/1.74 % (9178)Time elapsed: 0.237 s
% 10.39/1.74 % (9178)Instructions burned: 797 (million)
% 10.39/1.74 % (9178)------------------------------
% 10.39/1.74 % (9178)------------------------------
% 10.39/1.75 % (9223)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on Vampire---4 for (2986ds/593Mi)
% 10.39/1.75 % Exception at run slice level
% 10.39/1.75 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 10.39/1.75 % (9224)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on Vampire---4 for (2986ds/443Mi)
% 11.16/1.81 % (9221)Instruction limit reached!
% 11.16/1.81 % (9221)------------------------------
% 11.16/1.81 % (9221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.16/1.81 % (9221)Termination reason: Unknown
% 11.16/1.81 % (9221)Termination phase: Saturation
% 11.16/1.81
% 11.16/1.81 % (9221)Memory used [KB]: 7036
% 11.16/1.81 % (9221)Time elapsed: 0.130 s
% 11.16/1.81 % (9221)Instructions burned: 435 (million)
% 11.16/1.81 % (9221)------------------------------
% 11.16/1.81 % (9221)------------------------------
% 11.16/1.81 % (9225)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on Vampire---4 for (2985ds/594Mi)
% 11.42/1.89 % (9224)Instruction limit reached!
% 11.42/1.89 % (9224)------------------------------
% 11.42/1.89 % (9224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.42/1.89 % (9224)Termination reason: Unknown
% 11.42/1.89 % (9224)Termination phase: Saturation
% 11.42/1.89
% 11.42/1.89 % (9224)Memory used [KB]: 6652
% 11.42/1.89 % (9224)Time elapsed: 0.139 s
% 11.42/1.89 % (9224)Instructions burned: 443 (million)
% 11.42/1.89 % (9224)------------------------------
% 11.42/1.89 % (9224)------------------------------
% 11.42/1.90 % (9226)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on Vampire---4 for (2984ds/327Mi)
% 12.04/1.93 % (9133)Instruction limit reached!
% 12.04/1.93 % (9133)------------------------------
% 12.04/1.93 % (9133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.04/1.93 % (9133)Termination reason: Unknown
% 12.04/1.93 % (9133)Termination phase: Saturation
% 12.04/1.93
% 12.04/1.93 % (9133)Memory used [KB]: 7803
% 12.04/1.93 % (9133)Time elapsed: 0.562 s
% 12.04/1.93 % (9133)Instructions burned: 1827 (million)
% 12.04/1.93 % (9133)------------------------------
% 12.04/1.93 % (9133)------------------------------
% 12.04/1.93 % (9227)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on Vampire---4 for (2984ds/5411Mi)
% 12.04/1.96 % (9222)Instruction limit reached!
% 12.04/1.96 % (9222)------------------------------
% 12.04/1.96 % (9222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.04/1.96 % (9222)Termination reason: Unknown
% 12.04/1.96 % (9222)Termination phase: Saturation
% 12.04/1.96
% 12.04/1.96 % (9222)Memory used [KB]: 8955
% 12.04/1.96 % (9222)Time elapsed: 0.289 s
% 12.04/1.96 % (9222)Instructions burned: 868 (million)
% 12.04/1.96 % (9222)------------------------------
% 12.04/1.96 % (9222)------------------------------
% 12.04/1.96 % (9220)Instruction limit reached!
% 12.04/1.96 % (9220)------------------------------
% 12.04/1.96 % (9220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.04/1.96 % (9220)Termination reason: Unknown
% 12.04/1.96 % (9220)Termination phase: Saturation
% 12.04/1.96
% 12.04/1.96 % (9220)Memory used [KB]: 9083
% 12.04/1.96 % (9220)Time elapsed: 0.335 s
% 12.04/1.96 % (9220)Instructions burned: 906 (million)
% 12.04/1.96 % (9220)------------------------------
% 12.04/1.96 % (9220)------------------------------
% 12.04/1.96 % (9228)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on Vampire---4 for (2984ds/1762Mi)
% 12.04/1.96 % Exception at run slice level
% 12.04/1.96 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 12.04/1.97 % (9229)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (2984ds/96Mi)
% 12.04/1.97 % Exception at run slice level
% 12.04/1.97 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 12.04/1.97 % (9230)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on Vampire---4 for (2984ds/503Mi)
% 12.04/1.97 % (9231)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (2984ds/90Mi)
% 12.42/1.99 % (9225)Instruction limit reached!
% 12.42/1.99 % (9225)------------------------------
% 12.42/1.99 % (9225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.42/1.99 % (9225)Termination reason: Unknown
% 12.42/1.99 % (9225)Termination phase: Saturation
% 12.42/1.99
% 12.42/1.99 % (9225)Memory used [KB]: 7419
% 12.42/1.99 % (9225)Time elapsed: 0.178 s
% 12.42/1.99 % (9225)Instructions burned: 595 (million)
% 12.42/1.99 % (9225)------------------------------
% 12.42/1.99 % (9225)------------------------------
% 12.42/2.00 % (9232)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (2984ds/593Mi)
% 12.42/2.00 % (9226)Instruction limit reached!
% 12.42/2.00 % (9226)------------------------------
% 12.42/2.00 % (9226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.42/2.00 % (9226)Termination reason: Unknown
% 12.42/2.00 % (9226)Termination phase: Saturation
% 12.42/2.00
% 12.42/2.00 % (9226)Memory used [KB]: 6268
% 12.42/2.00 % (9226)Time elapsed: 0.105 s
% 12.42/2.00 % (9226)Instructions burned: 329 (million)
% 12.42/2.00 % (9226)------------------------------
% 12.42/2.00 % (9226)------------------------------
% 12.42/2.00 % (9231)Instruction limit reached!
% 12.42/2.00 % (9231)------------------------------
% 12.42/2.00 % (9231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.42/2.00 % (9231)Termination reason: Unknown
% 12.42/2.00 % (9231)Termination phase: Saturation
% 12.42/2.00
% 12.42/2.00 % (9231)Memory used [KB]: 6140
% 12.42/2.00 % (9231)Time elapsed: 0.031 s
% 12.42/2.00 % (9231)Instructions burned: 91 (million)
% 12.42/2.00 % (9231)------------------------------
% 12.42/2.00 % (9231)------------------------------
% 12.42/2.01 % (9233)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on Vampire---4 for (2983ds/1512Mi)
% 12.42/2.01 % (9234)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on Vampire---4 for (2983ds/569Mi)
% 12.42/2.01 % Exception at run slice level
% 12.42/2.01 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 12.42/2.02 % (9235)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on Vampire---4 for (2983ds/501Mi)
% 13.20/2.13 % (9230)Instruction limit reached!
% 13.20/2.13 % (9230)------------------------------
% 13.20/2.13 % (9230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.20/2.13 % (9230)Termination reason: Unknown
% 13.20/2.13 % (9230)Termination phase: Saturation
% 13.20/2.13
% 13.20/2.13 % (9230)Memory used [KB]: 7547
% 13.20/2.13 % (9230)Time elapsed: 0.162 s
% 13.20/2.13 % (9230)Instructions burned: 504 (million)
% 13.20/2.13 % (9230)------------------------------
% 13.20/2.13 % (9230)------------------------------
% 13.20/2.14 % (9236)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on Vampire---4 for (2982ds/562Mi)
% 13.20/2.17 % (9235)Instruction limit reached!
% 13.20/2.17 % (9235)------------------------------
% 13.20/2.17 % (9235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.20/2.17 % (9235)Termination reason: Unknown
% 13.20/2.17 % (9235)Termination phase: Saturation
% 13.20/2.17
% 13.20/2.17 % (9235)Memory used [KB]: 7036
% 13.20/2.17 % (9235)Time elapsed: 0.155 s
% 13.20/2.17 % (9235)Instructions burned: 501 (million)
% 13.20/2.17 % (9235)------------------------------
% 13.20/2.17 % (9235)------------------------------
% 13.20/2.18 % (9238)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (2982ds/406Mi)
% 13.20/2.19 % (9232)Instruction limit reached!
% 13.20/2.19 % (9232)------------------------------
% 13.20/2.19 % (9232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.20/2.19 % (9232)Termination reason: Unknown
% 13.20/2.19 % (9232)Termination phase: Saturation
% 13.20/2.19
% 13.20/2.19 % (9232)Memory used [KB]: 6908
% 13.20/2.19 % (9232)Time elapsed: 0.195 s
% 13.20/2.19 % (9232)Instructions burned: 594 (million)
% 13.20/2.19 % (9232)------------------------------
% 13.20/2.19 % (9232)------------------------------
% 13.20/2.20 % (9239)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on Vampire---4 for (2982ds/582Mi)
% 15.18/2.30 % (9238)Instruction limit reached!
% 15.18/2.30 % (9238)------------------------------
% 15.18/2.30 % (9238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.30 % (9238)Termination reason: Unknown
% 15.18/2.30 % (9238)Termination phase: Saturation
% 15.18/2.30
% 15.18/2.30 % (9238)Memory used [KB]: 6780
% 15.18/2.30 % (9238)Time elapsed: 0.118 s
% 15.18/2.30 % (9238)Instructions burned: 409 (million)
% 15.18/2.30 % (9238)------------------------------
% 15.18/2.30 % (9238)------------------------------
% 15.18/2.31 % (9240)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on Vampire---4 for (2980ds/456Mi)
% 15.18/2.33 % (9236)Instruction limit reached!
% 15.18/2.33 % (9236)------------------------------
% 15.18/2.33 % (9236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.33 % (9236)Termination reason: Unknown
% 15.18/2.33 % (9236)Termination phase: Saturation
% 15.18/2.33
% 15.18/2.33 % (9236)Memory used [KB]: 6652
% 15.18/2.33 % (9236)Time elapsed: 0.190 s
% 15.18/2.33 % (9236)Instructions burned: 563 (million)
% 15.18/2.33 % (9236)------------------------------
% 15.18/2.33 % (9236)------------------------------
% 15.18/2.34 % (9241)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on Vampire---4 for (2980ds/393Mi)
% 15.18/2.36 % (8958)Instruction limit reached!
% 15.18/2.36 % (8958)------------------------------
% 15.18/2.36 % (8958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.36 % (8958)Termination reason: Unknown
% 15.18/2.36 % (8958)Termination phase: Saturation
% 15.18/2.36
% 15.18/2.36 % (8958)Memory used [KB]: 11897
% 15.18/2.36 % (8958)Time elapsed: 1.333 s
% 15.18/2.36 % (8958)Instructions burned: 4439 (million)
% 15.18/2.36 % (8958)------------------------------
% 15.18/2.36 % (8958)------------------------------
% 15.18/2.37 % (9242)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on Vampire---4 for (2980ds/1335Mi)
% 15.18/2.38 % (9239)Instruction limit reached!
% 15.18/2.38 % (9239)------------------------------
% 15.18/2.38 % (9239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.38 % (9239)Termination reason: Unknown
% 15.18/2.38 % (9239)Termination phase: Saturation
% 15.18/2.38
% 15.18/2.38 % (9239)Memory used [KB]: 6524
% 15.18/2.38 % (9239)Time elapsed: 0.177 s
% 15.18/2.38 % (9239)Instructions burned: 584 (million)
% 15.18/2.38 % (9239)------------------------------
% 15.18/2.38 % (9239)------------------------------
% 15.79/2.38 % (9243)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on Vampire---4 for (2980ds/3373Mi)
% 15.91/2.42 % (8980)Refutation not found, non-redundant clauses discarded% (8980)------------------------------
% 15.91/2.42 % (8980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.91/2.42 % (8980)Termination reason: Refutation not found, non-redundant clauses discarded
% 15.91/2.42
% 15.91/2.42 % (8980)Memory used [KB]: 12409
% 15.91/2.42 % (8980)Time elapsed: 1.350 s
% 15.91/2.42 % (8980)Instructions burned: 4320 (million)
% 15.91/2.42 % (8980)------------------------------
% 15.91/2.42 % (8980)------------------------------
% 15.91/2.43 % (9244)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on Vampire---4 for (2979ds/474Mi)
% 15.91/2.43 % Exception at run slice level
% 15.91/2.43 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 15.91/2.43 % (9245)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on Vampire---4 for (2979ds/157Mi)
% 15.91/2.44 % Exception at run slice level
% 15.91/2.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 15.91/2.44 % (9246)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on Vampire---4 for (2979ds/590Mi)
% 15.91/2.46 % (9240)Instruction limit reached!
% 15.91/2.46 % (9240)------------------------------
% 15.91/2.46 % (9240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.91/2.46 % (9240)Termination reason: Unknown
% 15.91/2.46 % (9240)Termination phase: Saturation
% 15.91/2.46
% 15.91/2.46 % (9240)Memory used [KB]: 7164
% 15.91/2.46 % (9240)Time elapsed: 0.151 s
% 15.91/2.46 % (9240)Instructions burned: 458 (million)
% 15.91/2.46 % (9240)------------------------------
% 15.91/2.46 % (9240)------------------------------
% 15.91/2.46 % (9247)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (2979ds/104Mi)
% 15.91/2.47 % (9241)Instruction limit reached!
% 15.91/2.47 % (9241)------------------------------
% 15.91/2.47 % (9241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.91/2.47 % (9241)Termination reason: Unknown
% 15.91/2.47 % (9241)Termination phase: Saturation
% 15.91/2.47
% 15.91/2.47 % (9241)Memory used [KB]: 6524
% 15.91/2.47 % (9241)Time elapsed: 0.130 s
% 15.91/2.47 % (9241)Instructions burned: 395 (million)
% 15.91/2.47 % (9241)------------------------------
% 15.91/2.47 % (9241)------------------------------
% 15.91/2.48 % (9233)Instruction limit reached!
% 15.91/2.48 % (9233)------------------------------
% 15.91/2.48 % (9233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.91/2.48 % (9233)Termination reason: Unknown
% 15.91/2.48 % (9233)Termination phase: Saturation
% 15.91/2.48
% 15.91/2.48 % (9233)Memory used [KB]: 7803
% 15.91/2.48 % (9233)Time elapsed: 0.466 s
% 15.91/2.48 % (9233)Instructions burned: 1512 (million)
% 15.91/2.48 % (9233)------------------------------
% 15.91/2.48 % (9233)------------------------------
% 15.91/2.48 % (9248)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on Vampire---4 for (2979ds/414Mi)
% 15.91/2.48 % Exception at run slice level
% 15.91/2.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 15.91/2.48 % (9249)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on Vampire---4 for (2979ds/715Mi)
% 15.91/2.48 % (9250)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on Vampire---4 for (2979ds/961Mi)
% 15.91/2.50 % (9247)Instruction limit reached!
% 15.91/2.50 % (9247)------------------------------
% 15.91/2.50 % (9247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.91/2.50 % (9247)Termination reason: Unknown
% 15.91/2.50 % (9247)Termination phase: Saturation
% 15.91/2.50
% 15.91/2.50 % (9247)Memory used [KB]: 6140
% 15.91/2.50 % (9247)Time elapsed: 0.056 s
% 15.91/2.50 % (9247)Instructions burned: 106 (million)
% 15.91/2.50 % (9247)------------------------------
% 15.91/2.50 % (9247)------------------------------
% 16.54/2.50 % (9251)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on Vampire---4 for (2979ds/1213Mi)
% 16.71/2.61 % (9246)Instruction limit reached!
% 16.71/2.61 % (9246)------------------------------
% 16.71/2.61 % (9246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.71/2.61 % (9246)Termination reason: Unknown
% 16.71/2.61 % (9246)Termination phase: Saturation
% 16.71/2.61
% 16.71/2.61 % (9246)Memory used [KB]: 8315
% 16.71/2.61 % (9246)Time elapsed: 0.170 s
% 16.71/2.61 % (9246)Instructions burned: 591 (million)
% 16.71/2.61 % (9246)------------------------------
% 16.71/2.61 % (9246)------------------------------
% 16.71/2.62 % (9252)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on Vampire---4 for (2977ds/1979Mi)
% 17.08/2.68 % (9242)First to succeed.
% 17.13/2.71 % (9242)Refutation found. Thanks to Tanya!
% 17.13/2.71 % SZS status Theorem for Vampire---4
% 17.13/2.71 % SZS output start Proof for Vampire---4
% See solution above
% 17.13/2.71 % (9242)------------------------------
% 17.13/2.71 % (9242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.13/2.71 % (9242)Termination reason: Refutation
% 17.13/2.71
% 17.13/2.71 % (9242)Memory used [KB]: 7419
% 17.13/2.71 % (9242)Time elapsed: 0.340 s
% 17.13/2.71 % (9242)Instructions burned: 999 (million)
% 17.13/2.71 % (9242)------------------------------
% 17.13/2.71 % (9242)------------------------------
% 17.13/2.71 % (8855)Success in time 2.306 s
% 17.13/2.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------