TSTP Solution File: SEV199^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV199^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 16:02:14 EDT 2024
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 5
% Syntax : Number of formulae : 112 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 1322 ( 517 equ; 0 cnn)
% Maximal formula atoms : 12 ( 11 avg)
% Number of connectives : 3314 ( 130 ~; 262 |; 247 &;2330 @)
% ( 4 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 10 con; 0-3 aty)
% ( 131 !!; 132 ??; 0 @@+; 0 @@-)
% Number of variables : 847 ( 492 ^ 337 !; 18 ?; 847 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
x: iS ).
thf(func_def_2,type,
cP: iS > iS > iS ).
thf(func_def_3,type,
c0: iS ).
thf(func_def_26,type,
sK1: iS > iS > iS > $o ).
thf(func_def_27,type,
sK2: ( iS > $o ) > iS ).
thf(func_def_28,type,
sK3: ( iS > $o ) > iS ).
thf(func_def_29,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f437,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f261,f356,f404,f436]) ).
thf(f436,plain,
( spl0_4
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f435,f226,f220,f230]) ).
thf(f230,plain,
( spl0_4
<=> ! [X0: iS] :
( $true
= ( sK1 @ X0 @ X0 @ X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f220,plain,
( spl0_1
<=> ! [X1: iS] :
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X1 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f226,plain,
( spl0_3
<=> ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f435,plain,
( ! [X0: iS] :
( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f433,f227]) ).
thf(f227,plain,
( ( $false
!= ( sK1 @ c0 @ c0 @ c0 ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f433,plain,
( ! [X0: iS] :
( ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ( $true
= ( sK1 @ X0 @ X0 @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f432]) ).
thf(f432,plain,
( ! [X0: iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f431]) ).
thf(f431,plain,
( ! [X0: iS] :
( ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f430,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f428]) ).
thf(f428,plain,
( ! [X0: iS] :
( ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f416]) ).
thf(f416,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) @ Y0 ) ) ) )
| ( ( sK1 @ ( X1 @ c0 ) @ ( X0 @ c0 ) @ c0 )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( ( X0
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) @ Y0 ) ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK1 @ ( X1 @ X2 ) @ ( X0 @ X2 ) @ X2 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f415]) ).
thf(f415,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 )
= $true )
| ( ( ^ [Y0: iS] : ( X1 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( X1
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( X0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f412,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] : ( X1 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( X0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( X1
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 )
= $true )
| ( $true = $false ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f90,f407]) ).
thf(f407,plain,
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f221]) ).
thf(f221,plain,
( ! [X1: iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X1 )
| ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X1 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f90,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK3 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(pi_clausification,[],[f87]) ).
thf(f87,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ ( sK3 @ X1 ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
! [X1: iS > $o] :
( ( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ ( sK3 @ X1 ) ) )
= $true )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f84,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( ( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ ( sK3 @ X1 ) ) )
=> ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) )
= $false )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f83]) ).
thf(f83,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( ^ [Y0: iS] :
( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ ( sK2 @ X1 ) @ Y0 ) ) )
@ ( sK3 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f82]) ).
thf(f82,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ ( sK2 @ X1 ) @ Y0 ) ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f81]) ).
thf(f81,plain,
! [X1: iS > $o] :
( ( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y0 @ Y1 ) ) ) )
@ ( sK2 @ X1 ) )
= $false )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(sigma_clausification,[],[f80]) ).
thf(f80,plain,
! [X1: iS > $o] :
( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
! [X1: iS > $o] :
( ( $false
= ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X1: iS > $o] :
( $true
= ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f77]) ).
thf(f77,plain,
! [X1: iS > $o] :
( $true
= ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f70]) ).
thf(f70,plain,
( $true
= ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( $false
= ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) ) ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f7]) ).
thf(f7,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y2 @ Y1 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( ( cP @ X1 @ X2 )
= ( cP @ X0 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X4: iS,X5: iS] :
( c0
!= ( cP @ X5 @ X4 ) )
& ! [X6: iS > $o] :
( ( ! [X7: iS,X8: iS] :
( ( ( X6 @ X7 )
& ( X6 @ X8 ) )
=> ( X6 @ ( cP @ X8 @ X7 ) ) )
& ( X6 @ c0 ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( $true
& ! [X11: iS,X12: iS,X13: iS] :
( ( ? [X14: iS,X15: iS,X16: iS,X17: iS,X18: iS,X19: iS] :
( ( ( cP @ X17 @ X19 )
= X12 )
& ( ( cP @ X14 @ X15 )
= X13 )
& ( ( cP @ X18 @ X16 )
= X11 )
& ( X10 @ X14 @ X18 @ X17 )
& ( X10 @ X15 @ X16 @ X19 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( c0 = X11 )
& ( X12 = X13 ) ) )
=> ( X10 @ X13 @ X11 @ X12 ) ) )
=> ( X10 @ x @ x @ x ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: iS,X1: iS,X3: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X4: iS > $o] :
( ( ! [X1: iS,X0: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X6: iS] :
( ( ? [X9: iS,X10: iS,X12: iS,X13: iS,X11: iS,X14: iS] :
( ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( X5 @ X9 @ X11 @ X13 )
& ( X5 @ X10 @ X12 @ X14 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ( ( c0 = X7 )
& ( X6 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: iS,X1: iS,X3: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X4: iS > $o] :
( ( ! [X1: iS,X0: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X6: iS] :
( ( ? [X9: iS,X10: iS,X12: iS,X13: iS,X11: iS,X14: iS] :
( ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( X5 @ X9 @ X11 @ X13 )
& ( X5 @ X10 @ X12 @ X14 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ( ( c0 = X7 )
& ( X6 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM3_pme) ).
thf(f404,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f403]) ).
thf(f403,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f394]) ).
thf(f394,plain,
( ( $true = $false )
| ~ spl0_4 ),
inference(superposition,[],[f231,f14]) ).
thf(f14,plain,
( $false
= ( sK1 @ x @ x @ x ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( sK1 @ Y7 @ Y6 @ Y3 )
& ( sK1 @ Y8 @ Y4 @ Y5 )
& ( ( cP @ Y4 @ Y6 )
= Y2 )
& ( ( cP @ Y8 @ Y7 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( sK1 @ x @ x @ x ) )
= $false ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) )
@ sK1 ) ),
inference(sigma_clausification,[],[f10]) ).
thf(f10,plain,
( $false
= ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( Y0 @ Y8 @ Y7 @ Y4 )
& ( Y0 @ Y9 @ Y5 @ Y6 )
& ( ( cP @ Y5 @ Y7 )
= Y3 )
& ( ( cP @ Y9 @ Y8 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f231,plain,
( ! [X0: iS] :
( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f356,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f355]) ).
thf(f355,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f288,plain,
( ( $true = $false )
| ( c0 != c0 )
| ~ spl0_3 ),
inference(superposition,[],[f96,f228]) ).
thf(f228,plain,
( ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f96,plain,
! [X0: iS,X1: iS] :
( ( $true
= ( sK1 @ c0 @ X0 @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f48]) ).
thf(f48,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X1 )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( c0 = X1 )
= $false )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f46,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( X3 = X2 ) )
| ( ( c0 = X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f44,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( ( c0 = X1 )
& ( X3 = X2 ) ) )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ( c0 = X1 )
& ( X3 = X2 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ( c0 = X1 )
& ( X3 = X2 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( sK1 @ Y4 @ Y3 @ Y0 )
& ( sK1 @ Y5 @ Y1 @ Y2 )
& ( ( cP @ Y1 @ Y3 )
= X3 )
& ( ( cP @ Y5 @ Y4 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 ) ) ) ) ) ) ) ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ( c0 = X1 )
& ( X3 = X2 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( sK1 @ Y4 @ Y3 @ Y0 )
& ( sK1 @ Y5 @ Y1 @ Y2 )
& ( ( cP @ Y1 @ Y3 )
= X3 )
& ( ( cP @ Y5 @ Y4 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X1 @ X3 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ^ [Y0: iS] :
( ( ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ( c0 = X1 )
& ( Y0 = X2 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( sK1 @ Y5 @ Y4 @ Y1 )
& ( sK1 @ Y6 @ Y2 @ Y3 )
& ( ( cP @ Y2 @ Y4 )
= Y0 )
& ( ( cP @ Y6 @ Y5 )
= X1 )
& ( ( cP @ Y3 @ Y1 )
= X2 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X1 @ Y0 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
! [X2: iS,X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ( c0 = X1 )
& ( Y0 = X2 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( sK1 @ Y5 @ Y4 @ Y1 )
& ( sK1 @ Y6 @ Y2 @ Y3 )
& ( ( cP @ Y2 @ Y4 )
= Y0 )
& ( ( cP @ Y6 @ Y5 )
= X1 )
& ( ( cP @ Y3 @ Y1 )
= X2 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X1 @ Y0 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
! [X2: iS,X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ( c0 = X1 )
& ( Y1 = Y0 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( sK1 @ Y6 @ Y5 @ Y2 )
& ( sK1 @ Y7 @ Y3 @ Y4 )
& ( ( cP @ Y3 @ Y5 )
= Y1 )
& ( ( cP @ Y7 @ Y6 )
= X1 )
& ( ( cP @ Y4 @ Y2 )
= Y0 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X1 @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f17]) ).
thf(f17,plain,
! [X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ( c0 = X1 )
& ( Y1 = Y0 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( sK1 @ Y6 @ Y5 @ Y2 )
& ( sK1 @ Y7 @ Y3 @ Y4 )
& ( ( cP @ Y3 @ Y5 )
= Y1 )
& ( ( cP @ Y7 @ Y6 )
= X1 )
& ( ( cP @ Y4 @ Y2 )
= Y0 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X1 @ Y1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( sK1 @ Y7 @ Y6 @ Y3 )
& ( sK1 @ Y8 @ Y4 @ Y5 )
& ( ( cP @ Y4 @ Y6 )
= Y2 )
& ( ( cP @ Y8 @ Y7 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y0 @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f15]) ).
thf(f15,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( sK1 @ Y7 @ Y6 @ Y3 )
& ( sK1 @ Y8 @ Y4 @ Y5 )
& ( ( cP @ Y4 @ Y6 )
= Y2 )
& ( ( cP @ Y8 @ Y7 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f261,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f259,f223,f230,f226]) ).
thf(f223,plain,
( spl0_2
<=> ! [X2: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f259,plain,
( ! [X0: iS] :
( ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f258,plain,
( ! [X0: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f257]) ).
thf(f257,plain,
( ! [X0: iS] :
( ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f256,plain,
( ! [X0: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f254]) ).
thf(f254,plain,
( ! [X0: iS] :
( ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f243]) ).
thf(f243,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( X1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) @ Y0 ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK1 @ ( X0 @ c0 ) @ ( X1 @ c0 ) @ c0 )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( $true
= ( sK1 @ ( X0 @ X2 ) @ ( X1 @ X2 ) @ X2 ) )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) @ Y0 ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f242]) ).
thf(f242,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 )
= $true )
| ( ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] : ( X1 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f239]) ).
thf(f239,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $true = $false )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 )
= $true )
| ( ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] : ( X1 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X0 @ Y0 ) @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f89,f233]) ).
thf(f233,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f224]) ).
thf(f224,plain,
( ! [X2: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 )
= $false ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f89,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK2 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ c0 ) ) ),
inference(pi_clausification,[],[f88]) ).
thf(f88,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ ( sK2 @ X1 ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f232,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f218,f230,f226,f223,f220]) ).
thf(f218,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ( ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 )
= $false )
| ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X1 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X1 ) ),
inference(beta_eta_normalization,[],[f215]) ).
thf(f215,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X2 ) )
| ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ X0 )
= $true )
| ( ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ c0 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X2 )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X1 )
| ( ( sK1
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X1 )
= $false ) ),
inference(equality_resolution,[],[f214]) ).
thf(f214,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( ( X1
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) ) ) )
!= ( cP @ X0 @ X4 ) )
| ( $false
= ( sK1 @ ( X1 @ c0 ) @ c0 @ c0 ) )
| ( $true
= ( sK1 @ ( X1 @ X5 ) @ X5 @ X5 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X3 )
| ( ( sK1 @ X4
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X3 )
= $false )
| ( $false
= ( sK1 @ X0
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X2 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X2 ) ),
inference(beta_eta_normalization,[],[f211]) ).
thf(f211,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( $false
= ( sK1 @ ( X1 @ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) )
| ( $false
= ( sK1 @ X0
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X2 ) )
| ( $false
= ( sK1 @ X4
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X3 ) )
| ( ( cP @ X0 @ X4 )
!= ( X1
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) ) )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X3 )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X2 )
| ( $true
= ( sK1 @ ( X1 @ X5 )
@ ( ^ [Y0: iS] : Y0
@ X5 )
@ X5 ) ) ),
inference(equality_resolution,[],[f180]) ).
thf(f180,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) ) )
| ( $false
= ( sK1 @ X4 @ X0 @ X7 ) )
| ( $false
= ( sK1 @ ( X3 @ c0 ) @ ( X2 @ c0 ) @ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X7 )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X6 )
| ( $false
= ( sK1 @ X5 @ X1 @ X6 ) )
| ( ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( $true
= ( sK1 @ ( X3 @ X8 ) @ ( X2 @ X8 ) @ X8 ) ) ),
inference(beta_eta_normalization,[],[f179]) ).
thf(f179,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 ) )
| ( ( cP @ X4 @ X5 )
!= ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( $false
= ( sK1 @ X4 @ X0 @ X7 ) )
| ( $false
= ( sK1 @ X5 @ X1 @ X6 ) ) ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f175,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 )
| ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $true = $false )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( $false
= ( sK1 @ X5 @ X1 @ X6 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( ( cP @ X4 @ X5 )
!= ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $false
= ( sK1 @ X4 @ X0 @ X7 ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 ) ) ),
inference(constrained_superposition,[],[f173,f91]) ).
thf(f91,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(pi_clausification,[],[f85]) ).
thf(f85,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $false
= ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f173,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X4: iS,X5: iS] :
( ( ( sK1 @ ( cP @ X0 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
= $true )
| ( ( sK1 @ X0 @ X2 @ X4 )
= $false )
| ( ( sK1 @ X1 @ X3 @ X5 )
= $false ) ),
inference(equality_resolution,[],[f172]) ).
thf(f172,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( cP @ X1 @ X6 )
!= X4 )
| ( $true
= ( sK1 @ ( cP @ X0 @ X3 ) @ X4 @ ( cP @ X2 @ X5 ) ) )
| ( ( sK1 @ X3 @ X6 @ X5 )
= $false )
| ( $false
= ( sK1 @ X0 @ X1 @ X2 ) ) ),
inference(equality_resolution,[],[f98]) ).
thf(f98,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X7 @ X2 )
!= X6 )
| ( ( sK1 @ X5 @ X3 @ X7 )
= $false )
| ( $true
= ( sK1 @ ( cP @ X5 @ X0 ) @ X4 @ X6 ) )
| ( $false
= ( sK1 @ X0 @ X1 @ X2 ) )
| ( ( cP @ X3 @ X1 )
!= X4 ) ),
inference(equality_resolution,[],[f43]) ).
thf(f43,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X9 @ X8 )
!= X1 )
| ( $false
= ( sK1 @ X8 @ X7 @ X4 ) )
| ( ( cP @ X5 @ X7 )
!= X3 )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( ( sK1 @ X9 @ X5 @ X6 )
= $false ) ),
inference(equality_proxy_clausification,[],[f42]) ).
thf(f42,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK1 @ X9 @ X5 @ X6 )
= $false )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( ( cP @ X5 @ X7 )
!= X3 )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( cP @ X9 @ X8 )
= X1 ) )
| ( $false
= ( sK1 @ X8 @ X7 @ X4 ) ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X6 @ X4 )
!= X2 )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 ) ) )
| ( ( cP @ X5 @ X7 )
!= X3 )
| ( $false
= ( ( cP @ X9 @ X8 )
= X1 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ( cP @ X5 @ X7 )
= X3 )
= $false )
| ( $false
= ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 ) ) )
| ( $false
= ( ( cP @ X9 @ X8 )
= X1 ) )
| ( ( cP @ X6 @ X4 )
!= X2 ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( $false
= ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 ) ) )
| ( $false
= ( ( cP @ X9 @ X8 )
= X1 ) ) ),
inference(binary_proxy_clausification,[],[f38]) ).
thf(f38,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ X9 @ X8 )
= X1 ) ) )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( cP @ X6 @ X4 )
!= X2 ) ),
inference(equality_proxy_clausification,[],[f37]) ).
thf(f37,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( cP @ X6 @ X4 )
= X2 ) )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ X9 @ X8 )
= X1 ) ) ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ X9 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ X9 @ X8 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ^ [Y0: iS] :
( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ Y0 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ Y0 @ X8 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) )
@ X9 )
= $false ) ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ( sK1 @ X8 @ X7 @ X4 )
& ( sK1 @ Y0 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ Y0 @ X8 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( sK1 @ Y0 @ X7 @ X4 )
& ( sK1 @ Y1 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ Y1 @ Y0 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) ) )
@ X8 ) ) ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( sK1 @ Y0 @ X7 @ X4 )
& ( sK1 @ Y1 @ X5 @ X6 )
& ( ( cP @ X5 @ X7 )
= X3 )
& ( ( cP @ Y1 @ Y0 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) ) ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( sK1 @ Y1 @ Y0 @ X4 )
& ( sK1 @ Y2 @ X5 @ X6 )
& ( ( cP @ X5 @ Y0 )
= X3 )
& ( ( cP @ Y2 @ Y1 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) ) ) )
@ X7 )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(pi_clausification,[],[f30]) ).
thf(f30,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( sK1 @ Y1 @ Y0 @ X4 )
& ( sK1 @ Y2 @ X5 @ X6 )
& ( ( cP @ X5 @ Y0 )
= X3 )
& ( ( cP @ Y2 @ Y1 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) ) ) ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( sK1 @ Y2 @ Y1 @ X4 )
& ( sK1 @ Y3 @ X5 @ Y0 )
& ( ( cP @ X5 @ Y1 )
= X3 )
& ( ( cP @ Y3 @ Y2 )
= X1 )
& ( ( cP @ Y0 @ X4 )
= X2 ) ) ) ) )
@ X6 ) ) ),
inference(pi_clausification,[],[f28]) ).
thf(f28,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( sK1 @ Y2 @ Y1 @ X4 )
& ( sK1 @ Y3 @ X5 @ Y0 )
& ( ( cP @ X5 @ Y1 )
= X3 )
& ( ( cP @ Y3 @ Y2 )
= X1 )
& ( ( cP @ Y0 @ X4 )
= X2 ) ) ) ) ) ) )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( sK1 @ Y3 @ Y2 @ X4 )
& ( sK1 @ Y4 @ Y0 @ Y1 )
& ( ( cP @ Y0 @ Y2 )
= X3 )
& ( ( cP @ Y4 @ Y3 )
= X1 )
& ( ( cP @ Y1 @ X4 )
= X2 ) ) ) ) ) )
@ X5 )
= $false ) ),
inference(pi_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $true
= ( sK1 @ X1 @ X3 @ X2 ) )
| ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( sK1 @ Y3 @ Y2 @ X4 )
& ( sK1 @ Y4 @ Y0 @ Y1 )
& ( ( cP @ Y0 @ Y2 )
= X3 )
& ( ( cP @ Y4 @ Y3 )
= X1 )
& ( ( cP @ Y1 @ X4 )
= X2 ) ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( sK1 @ Y4 @ Y3 @ Y0 )
& ( sK1 @ Y5 @ Y1 @ Y2 )
& ( ( cP @ Y1 @ Y3 )
= X3 )
& ( ( cP @ Y5 @ Y4 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 ) ) ) ) ) ) )
@ X4 ) )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(pi_clausification,[],[f23]) ).
thf(f23,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( sK1 @ Y4 @ Y3 @ Y0 )
& ( sK1 @ Y5 @ Y1 @ Y2 )
& ( ( cP @ Y1 @ Y3 )
= X3 )
& ( ( cP @ Y5 @ Y4 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 ) ) ) ) ) ) ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV199^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:34:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (14057)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 theBenchmark for (2999ds/4Mi)
% 0.12/0.38 % (14058)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 theBenchmark for (2999ds/27Mi)
% 0.12/0.38 % (14055)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (14061)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.38 % (14060)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (14059)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (14062)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (14059)Instruction limit reached!
% 0.12/0.38 % (14059)------------------------------
% 0.12/0.38 % (14059)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (14059)Termination reason: Unknown
% 0.12/0.38 % (14059)Termination phase: Preprocessing 3
% 0.12/0.38
% 0.12/0.38 % (14059)Memory used [KB]: 1023
% 0.12/0.38 % (14059)Time elapsed: 0.003 s
% 0.12/0.38 % (14059)Instructions burned: 2 (million)
% 0.12/0.38 % (14059)------------------------------
% 0.12/0.38 % (14059)------------------------------
% 0.12/0.38 % (14060)Instruction limit reached!
% 0.12/0.38 % (14060)------------------------------
% 0.12/0.38 % (14060)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (14060)Termination reason: Unknown
% 0.12/0.38 % (14060)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (14060)Memory used [KB]: 1023
% 0.12/0.38 % (14060)Time elapsed: 0.003 s
% 0.12/0.38 % (14060)Instructions burned: 2 (million)
% 0.12/0.38 % (14060)------------------------------
% 0.12/0.38 % (14060)------------------------------
% 0.12/0.38 % (14057)Instruction limit reached!
% 0.12/0.38 % (14057)------------------------------
% 0.12/0.38 % (14057)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (14057)Termination reason: Unknown
% 0.12/0.38 % (14057)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (14057)Memory used [KB]: 5500
% 0.12/0.38 % (14057)Time elapsed: 0.005 s
% 0.12/0.38 % (14057)Instructions burned: 4 (million)
% 0.12/0.38 % (14057)------------------------------
% 0.12/0.38 % (14057)------------------------------
% 0.12/0.39 % (14062)Instruction limit reached!
% 0.12/0.39 % (14062)------------------------------
% 0.12/0.39 % (14062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (14062)Termination reason: Unknown
% 0.12/0.39 % (14062)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (14062)Memory used [KB]: 5628
% 0.12/0.39 % (14062)Time elapsed: 0.015 s
% 0.12/0.39 % (14062)Instructions burned: 18 (million)
% 0.12/0.39 % (14062)------------------------------
% 0.12/0.39 % (14062)------------------------------
% 0.12/0.40 % (14068)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.40 % (14069)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 theBenchmark for (2999ds/37Mi)
% 0.12/0.40 % (14058)Instruction limit reached!
% 0.12/0.40 % (14058)------------------------------
% 0.12/0.40 % (14058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (14058)Termination reason: Unknown
% 0.12/0.40 % (14058)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (14071)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 theBenchmark for (2999ds/15Mi)
% 0.12/0.40 % (14058)Memory used [KB]: 5628
% 0.12/0.40 % (14058)Time elapsed: 0.021 s
% 0.12/0.40 % (14058)Instructions burned: 28 (million)
% 0.12/0.40 % (14058)------------------------------
% 0.12/0.40 % (14058)------------------------------
% 0.12/0.40 % (14068)Instruction limit reached!
% 0.12/0.40 % (14068)------------------------------
% 0.12/0.40 % (14068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (14068)Termination reason: Unknown
% 0.12/0.40 % (14068)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (14068)Memory used [KB]: 5500
% 0.12/0.40 % (14068)Time elapsed: 0.004 s
% 0.12/0.40 % (14068)Instructions burned: 3 (million)
% 0.12/0.40 % (14068)------------------------------
% 0.12/0.40 % (14068)------------------------------
% 0.12/0.41 % (14077)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.41 % (14071)Instruction limit reached!
% 0.12/0.41 % (14071)------------------------------
% 0.12/0.41 % (14071)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (14071)Termination reason: Unknown
% 0.12/0.41 % (14071)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (14071)Memory used [KB]: 5628
% 0.12/0.41 % (14071)Time elapsed: 0.013 s
% 0.12/0.41 % (14071)Instructions burned: 15 (million)
% 0.12/0.41 % (14071)------------------------------
% 0.12/0.41 % (14071)------------------------------
% 0.12/0.41 % (14077)Instruction limit reached!
% 0.12/0.41 % (14077)------------------------------
% 0.12/0.41 % (14077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (14077)Termination reason: Unknown
% 0.12/0.41 % (14077)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (14077)Memory used [KB]: 5500
% 0.12/0.41 % (14077)Time elapsed: 0.004 s
% 0.12/0.41 % (14077)Instructions burned: 3 (million)
% 0.12/0.41 % (14077)------------------------------
% 0.12/0.41 % (14077)------------------------------
% 0.12/0.41 % (14081)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.41 % (14080)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 theBenchmark for (2999ds/1041Mi)
% 0.21/0.42 % (14069)Instruction limit reached!
% 0.21/0.42 % (14069)------------------------------
% 0.21/0.42 % (14069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (14069)Termination reason: Unknown
% 0.21/0.42 % (14069)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (14069)Memory used [KB]: 5884
% 0.21/0.42 % (14069)Time elapsed: 0.024 s
% 0.21/0.42 % (14069)Instructions burned: 37 (million)
% 0.21/0.42 % (14069)------------------------------
% 0.21/0.42 % (14069)------------------------------
% 0.21/0.42 % (14081)Instruction limit reached!
% 0.21/0.42 % (14081)------------------------------
% 0.21/0.42 % (14081)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (14081)Termination reason: Unknown
% 0.21/0.42 % (14081)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (14081)Memory used [KB]: 1151
% 0.21/0.42 % (14081)Time elapsed: 0.008 s
% 0.21/0.42 % (14081)Instructions burned: 8 (million)
% 0.21/0.42 % (14081)------------------------------
% 0.21/0.42 % (14081)------------------------------
% 0.21/0.42 % (14085)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (14087)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (14087)Instruction limit reached!
% 0.21/0.43 % (14087)------------------------------
% 0.21/0.43 % (14087)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (14087)Termination reason: Unknown
% 0.21/0.43 % (14087)Termination phase: Twee Goal Transformation
% 0.21/0.43
% 0.21/0.43 % (14087)Memory used [KB]: 1023
% 0.21/0.43 % (14087)Time elapsed: 0.004 s
% 0.21/0.43 % (14087)Instructions burned: 3 (million)
% 0.21/0.43 % (14087)------------------------------
% 0.21/0.43 % (14087)------------------------------
% 0.21/0.43 % (14089)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (14089)Instruction limit reached!
% 0.21/0.44 % (14089)------------------------------
% 0.21/0.44 % (14089)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (14089)Termination reason: Unknown
% 0.21/0.44 % (14089)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (14090)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.44 % (14089)Memory used [KB]: 1023
% 0.21/0.44 % (14089)Time elapsed: 0.004 s
% 0.21/0.44 % (14089)Instructions burned: 3 (million)
% 0.21/0.44 % (14089)------------------------------
% 0.21/0.44 % (14089)------------------------------
% 0.21/0.44 % (14085)Instruction limit reached!
% 0.21/0.44 % (14085)------------------------------
% 0.21/0.44 % (14085)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (14085)Termination reason: Unknown
% 0.21/0.44 % (14085)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (14085)Memory used [KB]: 5628
% 0.21/0.44 % (14085)Time elapsed: 0.014 s
% 0.21/0.44 % (14085)Instructions burned: 16 (million)
% 0.21/0.44 % (14085)------------------------------
% 0.21/0.44 % (14085)------------------------------
% 0.21/0.44 % (14090)Instruction limit reached!
% 0.21/0.44 % (14090)------------------------------
% 0.21/0.44 % (14090)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (14090)Termination reason: Unknown
% 0.21/0.44 % (14090)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (14090)Memory used [KB]: 5500
% 0.21/0.44 % (14090)Time elapsed: 0.007 s
% 0.21/0.44 % (14090)Instructions burned: 7 (million)
% 0.21/0.44 % (14090)------------------------------
% 0.21/0.44 % (14090)------------------------------
% 0.21/0.44 % (14097)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (14097)Instruction limit reached!
% 0.21/0.44 % (14097)------------------------------
% 0.21/0.44 % (14097)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (14097)Termination reason: Unknown
% 0.21/0.44 % (14097)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (14097)Memory used [KB]: 1023
% 0.21/0.44 % (14097)Time elapsed: 0.004 s
% 0.21/0.44 % (14097)Instructions burned: 3 (million)
% 0.21/0.44 % (14097)------------------------------
% 0.21/0.44 % (14097)------------------------------
% 0.21/0.45 % (14103)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (14104)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.45 % (14103)Instruction limit reached!
% 0.21/0.45 % (14103)------------------------------
% 0.21/0.45 % (14103)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (14103)Termination reason: Unknown
% 0.21/0.45 % (14103)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (14103)Memory used [KB]: 5500
% 0.21/0.45 % (14103)Time elapsed: 0.006 s
% 0.21/0.45 % (14103)Instructions burned: 4 (million)
% 0.21/0.45 % (14103)------------------------------
% 0.21/0.45 % (14103)------------------------------
% 0.21/0.46 % (14110)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (14104)Refutation not found, incomplete strategy
% 0.21/0.46 % (14104)------------------------------
% 0.21/0.46 % (14104)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (14104)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (14104)Memory used [KB]: 5500
% 0.21/0.46 % (14104)Time elapsed: 0.008 s
% 0.21/0.46 % (14104)Instructions burned: 8 (million)
% 0.21/0.46 % (14104)------------------------------
% 0.21/0.46 % (14104)------------------------------
% 0.21/0.46 % (14113)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (14113)Instruction limit reached!
% 0.21/0.47 % (14113)------------------------------
% 0.21/0.47 % (14113)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (14113)Termination reason: Unknown
% 0.21/0.47 % (14113)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (14113)Memory used [KB]: 5500
% 0.21/0.47 % (14113)Time elapsed: 0.007 s
% 0.21/0.47 % (14113)Instructions burned: 6 (million)
% 0.21/0.47 % (14113)------------------------------
% 0.21/0.47 % (14113)------------------------------
% 0.21/0.47 % (14120)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 theBenchmark for (2999ds/902Mi)
% 0.21/0.47 % (14122)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 theBenchmark for (2999ds/21Mi)
% 0.21/0.48 % (14130)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48 % (14130)Instruction limit reached!
% 0.21/0.48 % (14130)------------------------------
% 0.21/0.48 % (14130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (14130)Termination reason: Unknown
% 0.21/0.48 % (14130)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (14130)Memory used [KB]: 5500
% 0.21/0.48 % (14130)Time elapsed: 0.005 s
% 0.21/0.48 % (14130)Instructions burned: 5 (million)
% 0.21/0.48 % (14130)------------------------------
% 0.21/0.48 % (14130)------------------------------
% 0.21/0.49 % (14122)Instruction limit reached!
% 0.21/0.49 % (14122)------------------------------
% 0.21/0.49 % (14122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (14122)Termination reason: Unknown
% 0.21/0.49 % (14122)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (14122)Memory used [KB]: 5628
% 0.21/0.49 % (14122)Time elapsed: 0.017 s
% 0.21/0.49 % (14122)Instructions burned: 21 (million)
% 0.21/0.49 % (14122)------------------------------
% 0.21/0.49 % (14122)------------------------------
% 0.21/0.49 % (14055)Instruction limit reached!
% 0.21/0.49 % (14055)------------------------------
% 0.21/0.49 % (14055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (14055)Termination reason: Unknown
% 0.21/0.49 % (14055)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (14055)Memory used [KB]: 6396
% 0.21/0.49 % (14055)Time elapsed: 0.115 s
% 0.21/0.49 % (14055)Instructions burned: 183 (million)
% 0.21/0.49 % (14055)------------------------------
% 0.21/0.49 % (14055)------------------------------
% 0.21/0.50 % (14142)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 theBenchmark for (2998ds/6Mi)
% 0.21/0.50 % (14142)Instruction limit reached!
% 0.21/0.50 % (14142)------------------------------
% 0.21/0.50 % (14142)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (14142)Termination reason: Unknown
% 0.21/0.50 % (14142)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (14142)Memory used [KB]: 5500
% 0.21/0.50 % (14142)Time elapsed: 0.005 s
% 0.21/0.50 % (14142)Instructions burned: 6 (million)
% 0.21/0.50 % (14142)------------------------------
% 0.21/0.50 % (14142)------------------------------
% 0.21/0.50 % (14146)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.51 % (14149)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 theBenchmark for (2998ds/779Mi)
% 0.21/0.51 % (14159)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 theBenchmark for (2998ds/19Mi)
% 0.21/0.52 % (14061)Instruction limit reached!
% 0.21/0.52 % (14061)------------------------------
% 0.21/0.52 % (14061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (14061)Termination reason: Unknown
% 0.21/0.52 % (14061)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (14061)Memory used [KB]: 6140
% 0.21/0.52 % (14061)Time elapsed: 0.140 s
% 0.21/0.52 % (14061)Instructions burned: 275 (million)
% 0.21/0.52 % (14061)------------------------------
% 0.21/0.52 % (14061)------------------------------
% 0.21/0.52 % (14159)Instruction limit reached!
% 0.21/0.52 % (14159)------------------------------
% 0.21/0.52 % (14159)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (14159)Termination reason: Unknown
% 0.21/0.52 % (14159)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (14159)Memory used [KB]: 5628
% 0.21/0.52 % (14159)Time elapsed: 0.008 s
% 0.21/0.52 % (14159)Instructions burned: 19 (million)
% 0.21/0.52 % (14159)------------------------------
% 0.21/0.52 % (14159)------------------------------
% 0.21/0.52 % (14165)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.53 % (14167)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.54 % (14167)Instruction limit reached!
% 0.21/0.54 % (14167)------------------------------
% 0.21/0.54 % (14167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54 % (14167)Termination reason: Unknown
% 0.21/0.54 % (14167)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (14167)Memory used [KB]: 5628
% 0.21/0.54 % (14167)Time elapsed: 0.009 s
% 0.21/0.54 % (14167)Instructions burned: 17 (million)
% 0.21/0.54 % (14167)------------------------------
% 0.21/0.54 % (14167)------------------------------
% 0.21/0.54 % (14178)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.55 % (14178)Instruction limit reached!
% 0.21/0.55 % (14178)------------------------------
% 0.21/0.55 % (14178)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.55 % (14178)Termination reason: Unknown
% 0.21/0.55 % (14178)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (14178)Memory used [KB]: 1023
% 0.21/0.55 % (14178)Time elapsed: 0.003 s
% 0.21/0.55 % (14178)Instructions burned: 3 (million)
% 0.21/0.55 % (14178)------------------------------
% 0.21/0.55 % (14178)------------------------------
% 0.21/0.55 % (14185)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.56 % (14149)First to succeed.
% 0.21/0.56 % (14149)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (14149)------------------------------
% 0.21/0.56 % (14149)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.56 % (14149)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (14149)Memory used [KB]: 6140
% 0.21/0.56 % (14149)Time elapsed: 0.055 s
% 0.21/0.56 % (14149)Instructions burned: 133 (million)
% 0.21/0.56 % (14149)------------------------------
% 0.21/0.56 % (14149)------------------------------
% 0.21/0.56 % (14054)Success in time 0.185 s
%------------------------------------------------------------------------------