%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU933^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:37:47 AM UTC 2026
% Result : Theorem 10.73s 2.77s
% Output : Refutation 10.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 21 unt; 0 typ; 4 def)
% Number of atoms : 584 ( 154 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 1567 ( 85 ~; 99 |; 65 &;1005 @)
% ( 4 <=>; 167 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 538 ( 538 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 9 con; 0-3 aty)
% ( 142 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 418 ( 322 ^; 96 !; 0 ?; 418 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
sK2: ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ).
thf(func_def_20,type,
sK3: ( ( $i > $i ) > $o ) > ( $i > $i ) > $i > $i ).
thf(func_def_21,type,
sK4: $i > $i ).
thf(func_def_22,type,
sK5: $i > $i ).
thf(func_def_23,type,
sK6: ( $i > $i ) > $o ).
thf(f955,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f148,f153,f431,f523,f944]) ).
thf(f944,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[status(thm)],[f943]) ).
thf(f943,plain,
( $false
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f942]) ).
thf(f942,plain,
( ( $false = $true )
| ~ spl0_11 ),
inference(boolean_simplification,[status(thm)],[f941]) ).
thf(f941,plain,
( ( $false
= ( b = b ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f940]) ).
thf(f940,plain,
( ( $false
= ( b = b ) )
| ( $false = $true )
| ~ spl0_11 ),
inference(boolean_simplification,[status(thm)],[f939]) ).
thf(f939,plain,
( ( ( ~ $true ) = $true )
| ( $false
= ( b = b ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[status(thm)],[f896]) ).
thf(f896,plain,
( ( $false
= ( ^ [Y0: $i > $i] :
( ( ^ [Y1: $i > $i] :
( Y1
@ ( ^ [Y2: $i > $i] : a
@ Y1 ) )
@ Y0 )
= ( ^ [Y1: $i > $i] : b
@ Y0 ) )
@ ^ [Y0: $i] : b ) )
| ( ( ~ $true ) = $true )
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f75,f428]) ).
thf(f428,plain,
( ! [X0: ( $i > $i ) > $o] :
( ( $true
= ( X0
@ ^ [Y0: $i] : Y0 ) )
| ( $false
= ( X0
@ ^ [Y0: $i] : b ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f427]) ).
thf(f427,definition,
( spl0_11
<=> ! [X0: ( $i > $i ) > $o] :
( ( $false
= ( X0
@ ^ [Y0: $i] : b ) )
| ( $true
= ( X0
@ ^ [Y0: $i] : Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f75,plain,
( ( a != b )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ! [X2: ( $i > $i ) > $o] :
( ( ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( X2
@ ^ [X4: $i] : ( X1 @ ( X3 @ X4 ) ) ) )
& ( X2 @ X1 ) )
=> ( X2
@ ^ [X5: $i] : ( X0 @ ( X1 @ X5 ) ) ) )
=> ! [X6: ( $i > $i ) > $o] :
( ( ( X6 @ X1 )
& ! [X7: $i > $i] :
( ( X6 @ X7 )
=> ( X6
@ ^ [X8: $i] : ( X1 @ ( X7 @ X8 ) ) ) ) )
=> ( X6 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( a != b )
=> ~ ! [X1: $i > $i,X0: $i > $i] :
( ! [X2: ( $i > $i ) > $o] :
( ( ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( X2
@ ^ [X4: $i] : ( X0 @ ( X3 @ X4 ) ) ) )
& ( X2 @ X0 ) )
=> ( X2
@ ^ [X4: $i] : ( X1 @ ( X0 @ X4 ) ) ) )
=> ! [X2: ( $i > $i ) > $o] :
( ( ( X2 @ X0 )
& ! [X5: $i > $i] :
( ( X2 @ X5 )
=> ( X2
@ ^ [X4: $i] : ( X0 @ ( X5 @ X4 ) ) ) ) )
=> ( X2 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( a != b )
=> ~ ! [X1: $i > $i,X0: $i > $i] :
( ! [X2: ( $i > $i ) > $o] :
( ( ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( X2
@ ^ [X4: $i] : ( X0 @ ( X3 @ X4 ) ) ) )
& ( X2 @ X0 ) )
=> ( X2
@ ^ [X4: $i] : ( X1 @ ( X0 @ X4 ) ) ) )
=> ! [X2: ( $i > $i ) > $o] :
( ( ( X2 @ X0 )
& ! [X5: $i > $i] :
( ( X2 @ X5 )
=> ( X2
@ ^ [X4: $i] : ( X0 @ ( X5 @ X4 ) ) ) ) )
=> ( X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.22o5y1xfO9/DTF2THF_20246.p',cTHM196B_pme) ).
thf(f523,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[status(thm)],[f514]) ).
thf(f514,plain,
( $false
| ~ spl0_10 ),
inference(equality_resolution,[status(thm)],[f504]) ).
thf(f504,plain,
( ! [X1: ( $i > $i ) > $i] :
( a
!= ( X1
@ ^ [Y0: $i] : Y0 ) )
| ~ spl0_10 ),
inference(equality_proxy_clausification,[status(thm)],[f472]) ).
thf(f472,plain,
( ! [X1: ( $i > $i ) > $i] :
( $false
= ( a
= ( X1
@ ^ [Y0: $i] : Y0 ) ) )
| ~ spl0_10 ),
inference(not_proxy_clausification,[status(thm)],[f425]) ).
thf(f425,plain,
( ! [X1: ( $i > $i ) > $i] :
( $true
= ( a
!= ( X1
@ ^ [Y0: $i] : Y0 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f424]) ).
thf(f424,definition,
( spl0_10
<=> ! [X1: ( $i > $i ) > $i] :
( $true
= ( a
!= ( X1
@ ^ [Y0: $i] : Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f431,plain,
( spl0_11
| spl0_10
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f409,f67,f41,f424,f427]) ).
thf(f41,definition,
( spl0_3
<=> ! [X2: $i > $i,X1: $i > $i,X3: ( $i > $i ) > $o] :
( ( $false
= ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) )
| ( $false
= ( X3 @ X1 ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( X3 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f67,definition,
( spl0_6
<=> ! [X2: $i > $i,X1: $i > $i,X3: ( $i > $i ) > $o] :
( ( ( sK2 @ X1 @ X2 @ X1 )
= $true )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3 @ X1 ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f409,plain,
( ! [X0: ( $i > $i ) > $i,X1: ( $i > $i ) > $o] :
( ( ( a
!= ( X0
@ ^ [Y0: $i] : Y0 ) )
= $true )
| ( ( X1
@ ^ [Y0: $i] : Y0 )
= $true )
| ( $false
= ( X1
@ ^ [Y0: $i] : b ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(duplicate_literal_removal,[status(thm)],[f408]) ).
thf(f408,plain,
( ! [X0: ( $i > $i ) > $i,X1: ( $i > $i ) > $o] :
( ( $false
= ( X1
@ ^ [Y0: $i] : b ) )
| ( ( X1
@ ^ [Y0: $i] : Y0 )
= $true )
| ( ( a
!= ( X0
@ ^ [Y0: $i] : Y0 ) )
= $true )
| ( $false
= ( X1
@ ^ [Y0: $i] : b ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(beta_eta_normalization,[status(thm)],[f407]) ).
thf(f407,plain,
( ! [X0: ( $i > $i ) > $i,X1: ( $i > $i ) > $o] :
( ( ( X1
@ ^ [Y0: $i] : Y0 )
= $true )
| ( ( a
!= ( ^ [Y0: $i] : Y0
@ ( X0
@ ^ [Y0: $i] : Y0 ) ) )
= $true )
| ( $false
= ( X1
@ ^ [Y0: $i] : b ) )
| ( $false
= ( X1
@ ^ [Y0: $i] :
( ^ [Y1: $i] : b
@ ( sK3 @ X1
@ ^ [Y1: $i] : b
@ Y0 ) ) ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f365]) ).
thf(f365,plain,
( ! [X0: ( $i > $i ) > $i,X1: ( $i > $i ) > $o] :
( ( $false
= ( X1
@ ^ [Y0: $i] :
( ^ [Y1: $i] : b
@ ( sK3 @ X1
@ ^ [Y1: $i] : b
@ Y0 ) ) ) )
| ( $false
= ( X1
@ ^ [Y0: $i] : b ) )
| ( $false = $true )
| ( ( a
!= ( ^ [Y0: $i] : Y0
@ ( X0
@ ^ [Y0: $i] : Y0 ) ) )
= $true )
| ( ( X1
@ ^ [Y0: $i] : Y0 )
= $true ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f358,f42]) ).
thf(f42,plain,
( ! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3 @ X1 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f41]) ).
thf(f358,plain,
( ! [X2: ( $i > $i ) > $i,X3: $i > $i] :
( ( ( sK2
@ ^ [Y0: $i] : b
@ X3
@ ^ [Y0: $i] : b )
= $true )
| ( ( a
!= ( X3 @ ( X2 @ X3 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f357]) ).
thf(f357,plain,
( ! [X2: ( $i > $i ) > $i,X3: $i > $i] :
( ( $false = $true )
| ( ( sK2
@ ^ [Y0: $i] : b
@ X3
@ ^ [Y0: $i] : b )
= $true )
| ( ( a
!= ( X3 @ ( X2 @ X3 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f356,f75]) ).
thf(f356,plain,
( ! [X2: ( $i > $i ) > $i,X3: $i > $i] :
( ( $false
= ( a != b ) )
| ( ( sK2
@ ^ [Y0: $i] : b
@ X3
@ ^ [Y0: $i] : b )
= $true )
| ( ( a
!= ( X3 @ ( X2 @ X3 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[status(thm)],[f355]) ).
thf(f355,plain,
( ! [X2: ( $i > $i ) > $i,X3: $i > $i] :
( ( ( ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i] : a
@ Y1 )
= ( ^ [Y2: $i > $i] : ( Y2 @ ( X2 @ Y2 ) )
@ Y1 ) )
@ Y0 )
@ X3 )
= $true )
| ( ( sK2
@ ^ [Y0: $i] : b
@ X3
@ ^ [Y0: $i] : b )
= $true )
| ( $false
= ( ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i] : a
@ Y1 )
= ( ^ [Y2: $i > $i] : ( Y2 @ ( X2 @ Y2 ) )
@ Y1 ) )
@ Y0 )
@ ^ [Y0: $i] : b ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f306]) ).
thf(f306,plain,
( ! [X2: ( $i > $i ) > $i,X3: $i > $i] :
( ( ( sK2
@ ^ [Y0: $i] : b
@ X3
@ ^ [Y0: $i] : b )
= $true )
| ( $false = $true )
| ( ( ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i] : a
@ Y1 )
= ( ^ [Y2: $i > $i] : ( Y2 @ ( X2 @ Y2 ) )
@ Y1 ) )
@ Y0 )
@ X3 )
= $true )
| ( $false
= ( ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i] : a
@ Y1 )
= ( ^ [Y2: $i > $i] : ( Y2 @ ( X2 @ Y2 ) )
@ Y1 ) )
@ Y0 )
@ ^ [Y0: $i] : b ) ) )
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f68,f75]) ).
thf(f68,plain,
( ! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( ( sK2 @ X1 @ X2 @ X1 )
= $true )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3 @ X1 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f67]) ).
thf(f153,plain,
spl0_3,
inference(avatar_split_clause,[status(thm)],[f144,f41]) ).
thf(f144,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3 @ X1 ) )
| ( $false
= ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f132]) ).
thf(f132,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f131]) ).
thf(f131,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3 @ X1 ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( ( X3 @ ( sK3 @ X3 @ X1 ) )
=> ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) ) )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f130]) ).
thf(f130,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3 @ X1 ) )
| ( $false
= ( ^ [Y0: $i > $i] :
( ( X3 @ Y0 )
=> ( X3
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) )
@ ( sK3 @ X3 @ X1 ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(sigma_clausification,[status(thm)],[f129]) ).
thf(f129,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( X3 @ Y0 )
=> ( X3
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3 @ X1 ) )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f128]) ).
thf(f128,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( X3 @ Y0 )
=> ( X3
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) )
& ( X3 @ X1 ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f127]) ).
thf(f127,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( ( ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( X3 @ Y0 )
=> ( X3
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) )
& ( X3 @ X1 ) )
=> ( X3 @ X2 ) ) )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f126]) ).
thf(f126,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ^ [Y0: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X1 ) )
=> ( Y0 @ X2 ) )
@ X3 )
= $true )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(pi_clausification,[status(thm)],[f125]) ).
thf(f125,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X1 ) )
=> ( Y0 @ X2 ) ) )
= $true )
| ( $false
= ( ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK2 @ X1 @ X2
@ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f124]) ).
thf(f124,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X1 ) )
=> ( Y0 @ X2 ) ) )
= $true )
| ( $false
= ( ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i] : ( X2 @ ( X1 @ Y1 ) ) ) )
@ ( sK2 @ X1 @ X2 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f123]) ).
thf(f123,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( $false
= ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i] : ( X2 @ ( X1 @ Y1 ) ) ) ) ) )
| ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X1 ) )
=> ( Y0 @ X2 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f122]) ).
thf(f122,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i] : ( X2 @ ( X1 @ Y1 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( X1 @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X1 ) )
=> ( Y0 @ X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f121]) ).
thf(f121,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y1: ( $i > $i ) > $o] :
( ( ( Y1 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i] : ( X1 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1
@ ^ [Y2: $i] : ( Y0 @ ( X1 @ Y2 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y1: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i] : ( X1 @ ( Y2 @ Y3 ) ) ) ) )
& ( Y1 @ X1 ) )
=> ( Y1 @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f120]) ).
thf(f120,plain,
! [X1: $i > $i] :
( ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y1: ( $i > $i ) > $o] :
( ( ( Y1 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i] : ( X1 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1
@ ^ [Y2: $i] : ( Y0 @ ( X1 @ Y2 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y1: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i] : ( X1 @ ( Y2 @ Y3 ) ) ) ) )
& ( Y1 @ X1 ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f119]) ).
thf(f119,plain,
! [X1: $i > $i] :
( ( ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f118]) ).
thf(f118,plain,
( $false
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f80,f74]) ).
thf(f74,plain,
( $false
= ( ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f80,plain,
( ( ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f76]) ).
thf(f76,plain,
( ( $true
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f12,f75]) ).
thf(f12,plain,
( ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
| ( $false = $true ) ),
inference(boolean_simplification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ( ~ $true ) = $true )
| ( ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ( ( a != b )
=> ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
!= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y2: ( $i > $i ) > $o] :
( ( ( !! @ ( $i > $i )
@ ^ [Y3: $i > $i] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
| ( ( ~ ( ( a != b )
=> $true ) )
= $true ) ),
inference(constrained_superposition,[status(thm)],[f6,f6]) ).
thf(f148,plain,
spl0_6,
inference(avatar_split_clause,[status(thm)],[f147,f67]) ).
thf(f147,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3 @ X1 ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( X3 @ X2 ) )
| ( ( sK2 @ X1 @ X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f145]) ).
thf(f145,plain,
! [X2: $i > $i,X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X3 @ X1 ) )
| ( $true
= ( X3 @ X2 ) )
| ( $false
= ( X3
@ ^ [Y0: $i] : ( X1 @ ( sK3 @ X3 @ X1 @ Y0 ) ) ) )
| ( $true
= ( ( sK2 @ X1 @ X2 @ X1 )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( sK2 @ X1 @ X2 @ Y0 )
=> ( sK2 @ X1 @ X2
@ ^ [Y1: $i] : ( X1 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SEU933^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 07:36:25 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.31 ---- Original DTF file ---
% 0.06/0.31 thf(spec,logic,$$dhol).
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 % File : SEU933^5 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.31 % Domain : Set Theory (Functions)
% 0.06/0.31 % Problem : TPS problem THM196B
% 0.06/0.31 % Version : Especial.
% 0.06/0.31 % English : It is not true that if [k COMPOSE j] is an iterate of j, then k
% 0.06/0.31 % must be an iterate of j, provided we have distinct elements a
% 0.06/0.31 % and b.
% 0.06/0.31
% 0.06/0.31 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.06/0.31 % Source : [Bro09]
% 0.06/0.31 % Names : tps_0273 [Bro09]
% 0.06/0.31 % : THM196B [TPS]
% 0.06/0.31
% 0.06/0.31 % Status : Theorem
% 0.06/0.31 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.55 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.60 v5.3.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.06/0.31 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.06/0.31 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.06/0.31 % Maximal formula atoms : 1 ( 1 avg)
% 0.06/0.31 % Number of connectives : 24 ( 2 ~; 0 |; 2 &; 14 @)
% 0.06/0.31 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.06/0.31 % Maximal formula depth : 15 ( 15 avg)
% 0.06/0.31 % Number of types : 2 ( 0 usr)
% 0.06/0.31 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.06/0.31 % Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% 0.06/0.31 % Number of variables : 9 ( 3 ^; 6 !; 0 ?; 9 :)
% 0.06/0.31 % SPC : TH0_THM_EQU_NAR
% 0.06/0.31
% 0.06/0.31 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.06/0.31 % project in the Department of Mathematical Sciences at Carnegie
% 0.06/0.31 % Mellon University. Distributed under the Creative Commons copyleft
% 0.06/0.31 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.06/0.31 % : Polymorphic definitions expanded.
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 thf(b,type,
% 0.06/0.31 b: $i ).
% 0.06/0.31
% 0.06/0.31 thf(a,type,
% 0.06/0.31 a: $i ).
% 0.06/0.31
% 0.06/0.31 thf(cTHM196B_pme,conjecture,
% 0.06/0.31 ( ( a != b )
% 0.06/0.31 => ~ ! [Xj: $i > $i,Xk: $i > $i] :
% 0.06/0.31 ( ! [Xp: ( $i > $i ) > $o] :
% 0.06/0.31 ( ( ( Xp @ Xj )
% 0.06/0.31 & ! [Xj_2: $i > $i] :
% 0.06/0.31 ( ( Xp @ Xj_2 )
% 0.06/0.31 => ( Xp
% 0.06/0.31 @ ^ [Xx: $i] : ( Xj @ ( Xj_2 @ Xx ) ) ) ) )
% 0.06/0.31 => ( Xp
% 0.06/0.31 @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
% 0.06/0.31 => ! [Xp: ( $i > $i ) > $o] :
% 0.06/0.31 ( ( ( Xp @ Xj )
% 0.06/0.31 & ! [Xj_3: $i > $i] :
% 0.06/0.31 ( ( Xp @ Xj_3 )
% 0.06/0.31 => ( Xp
% 0.06/0.31 @ ^ [Xx: $i] : ( Xj @ ( Xj_3 @ Xx ) ) ) ) )
% 0.06/0.31 => ( Xp @ Xk ) ) ) ) ).
% 0.06/0.31
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 ------------------------
% 0.13/0.90 ---- Embedded in THF ---
% 0.13/0.90 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.13/0.90 %%% Generated on Tue Feb 24 07:36:26 EST 2026
% 0.13/0.90 %%% using '$$dhol' embedding, version 1.3.0.
% 0.13/0.90 %%% Logic specification used:
% 0.13/0.90 %%% thf(spec, logic, $$dhol).
% 0.13/0.90
% 0.13/0.90 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.22o5y1xfO9/DTF2DTF20246.p
% See solution above
% 0.13/0.90 ------------------------
% 0.13/0.91 ---- Cleaned THF ---
% 0.13/0.91 thf(b,type,
% 0.13/0.91 b: $i ).
% 0.13/0.91
% 0.13/0.91 thf(a,type,
% 0.13/0.91 a: $i ).
% 0.13/0.91
% 0.13/0.91 thf(cTHM196B_pme,conjecture,
% 0.13/0.91 ( ( a != b )
% 0.13/0.91 => ~ ! [Xj: $i > $i,Xk: $i > $i] :
% 0.13/0.91 ( ! [Xp: ( $i > $i ) > $o] :
% 0.13/0.91 ( ( ( Xp @ Xj )
% 0.13/0.91 & ! [Xj_2: $i > $i] :
% 0.13/0.91 ( ( Xp @ Xj_2 )
% 0.13/0.91 => ( Xp
% 0.13/0.91 @ ^ [Xx: $i] : ( Xj @ ( Xj_2 @ Xx ) ) ) ) )
% 0.13/0.91 => ( Xp
% 0.13/0.91 @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
% 0.13/0.91 => ! [Xp: ( $i > $i ) > $o] :
% 0.13/0.91 ( ( ( Xp @ Xj )
% 0.13/0.91 & ! [Xj_3: $i > $i] :
% 0.13/0.91 ( ( Xp @ Xj_3 )
% 0.13/0.91 => ( Xp
% 0.13/0.91 @ ^ [Xx: $i] : ( Xj @ ( Xj_3 @ Xx ) ) ) ) )
% 0.13/0.91 => ( Xp @ Xk ) ) ) ) ).
% 0.13/0.91 ------------------------
% 0.13/0.92 % (20386)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/4Mi)
% 0.13/0.92 % (20388)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/2Mi)
% 0.13/0.92 % (20389)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/2Mi)
% 0.13/0.92 % (20388)Instruction limit reached!
% 0.13/0.92 % (20388)------------------------------
% 0.13/0.92 % (20388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.92 % (20388)Termination reason: Unknown
% 0.13/0.92 % (20388)Termination phase: Saturation
% 0.13/0.92
% 0.13/0.92 % (20388)Memory used [KB]: 5500
% 0.13/0.92 % (20388)Time elapsed: 0.002 s
% 0.13/0.92 % (20388)Instructions burned: 3 (million)
% 0.13/0.92 % (20388)------------------------------
% 0.13/0.92 % (20388)------------------------------
% 0.13/0.92 % (20389)Instruction limit reached!
% 0.13/0.92 % (20389)------------------------------
% 0.13/0.92 % (20389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.92 % (20389)Termination reason: Unknown
% 0.13/0.92 % (20389)Termination phase: Property scanning
% 0.13/0.92
% 0.13/0.92 % (20389)Memory used [KB]: 895
% 0.13/0.92 % (20389)Time elapsed: 0.002 s
% 0.13/0.92 % (20389)Instructions burned: 2 (million)
% 0.13/0.92 % (20389)------------------------------
% 0.13/0.92 % (20389)------------------------------
% 0.13/0.92 % (20385)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/183Mi)
% 0.13/0.93 % (20391)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/18Mi)
% 0.13/0.93 % (20390)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/275Mi)
% 0.13/0.93 % (20387)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_20246 for (3000ds/27Mi)
% 0.13/0.93 % (20387)Refutation not found, incomplete strategy
% 0.13/0.93 % (20387)------------------------------
% 0.13/0.93 % (20387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.93 % (20387)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.93
% 0.13/0.93
% 0.13/0.93 % (20387)Memory used [KB]: 5500
% 0.13/0.93 % (20387)Time elapsed: 0.002 s
% 0.13/0.93 % (20387)Instructions burned: 2 (million)
% 0.13/0.93 % (20387)------------------------------
% 0.13/0.93 % (20387)------------------------------
% 0.13/0.93 % (20392)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/3Mi)
% 0.13/0.93 % (20386)Instruction limit reached!
% 0.13/0.93 % (20386)------------------------------
% 0.13/0.93 % (20386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.93 % (20386)Termination reason: Unknown
% 0.13/0.93 % (20386)Termination phase: Saturation
% 0.13/0.93
% 0.13/0.93 % (20386)Memory used [KB]: 5500
% 0.13/0.93 % (20386)Time elapsed: 0.005 s
% 0.13/0.93 % (20386)Instructions burned: 6 (million)
% 0.13/0.93 % (20386)------------------------------
% 0.13/0.93 % (20386)------------------------------
% 0.13/0.93 % (20392)Instruction limit reached!
% 0.13/0.93 % (20392)------------------------------
% 0.13/0.93 % (20392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.93 % (20392)Termination reason: Unknown
% 0.13/0.93 % (20392)Termination phase: Saturation
% 0.13/0.93
% 0.13/0.93 % (20392)Memory used [KB]: 5500
% 0.13/0.93 % (20392)Time elapsed: 0.003 s
% 0.13/0.93 % (20392)Instructions burned: 5 (million)
% 0.13/0.93 % (20392)------------------------------
% 0.13/0.93 % (20392)------------------------------
% 0.13/0.94 % (20391)Instruction limit reached!
% 0.13/0.94 % (20391)------------------------------
% 0.13/0.94 % (20391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.94 % (20391)Termination reason: Unknown
% 0.13/0.94 % (20391)Termination phase: Saturation
% 0.13/0.94
% 0.13/0.94 % (20391)Memory used [KB]: 5628
% 0.13/0.94 % (20391)Time elapsed: 0.011 s
% 0.13/0.94 % (20391)Instructions burned: 19 (million)
% 0.13/0.94 % (20391)------------------------------
% 0.13/0.94 % (20391)------------------------------
% 0.13/0.94 % (20393)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/37Mi)
% 0.13/0.94 % (20395)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/3Mi)
% 0.13/0.94 % (20396)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/1041Mi)
% 0.13/0.94 % (20395)Refutation not found, incomplete strategy
% 0.13/0.94 % (20395)------------------------------
% 0.13/0.94 % (20395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.94 % (20395)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.94
% 0.13/0.94
% 0.13/0.94 % (20395)Memory used [KB]: 5500
% 0.13/0.94 % (20395)Time elapsed: 0.002 s
% 0.13/0.94 % (20395)Instructions burned: 2 (million)
% 0.13/0.94 % (20395)------------------------------
% 0.13/0.94 % (20395)------------------------------
% 0.13/0.95 % (20394)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/15Mi)
% 0.13/0.95 % (20397)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/7Mi)
% 0.13/0.95 % (20398)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/16Mi)
% 0.13/0.95 % (20394)Instruction limit reached!
% 0.13/0.95 % (20394)------------------------------
% 0.13/0.95 % (20394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.95 % (20394)Termination reason: Unknown
% 0.13/0.95 % (20394)Termination phase: Saturation
% 0.13/0.95
% 0.13/0.95 % (20394)Memory used [KB]: 5500
% 0.13/0.95 % (20394)Time elapsed: 0.010 s
% 0.13/0.95 % (20394)Instructions burned: 16 (million)
% 0.13/0.95 % (20394)------------------------------
% 0.13/0.95 % (20394)------------------------------
% 0.13/0.96 % (20393)Instruction limit reached!
% 0.13/0.96 % (20393)------------------------------
% 0.13/0.96 % (20393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.96 % (20393)Termination reason: Unknown
% 0.13/0.96 % (20393)Termination phase: Saturation
% 0.13/0.96
% 0.13/0.96 % (20393)Memory used [KB]: 5500
% 0.13/0.96 % (20393)Time elapsed: 0.019 s
% 0.13/0.96 % (20393)Instructions burned: 38 (million)
% 0.13/0.96 % (20393)------------------------------
% 0.13/0.96 % (20393)------------------------------
% 0.13/0.96 % (20397)Instruction limit reached!
% 0.13/0.96 % (20397)------------------------------
% 0.13/0.96 % (20397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.96 % (20397)Termination reason: Unknown
% 0.13/0.96 % (20397)Termination phase: Saturation
% 0.13/0.96
% 0.13/0.96 % (20397)Memory used [KB]: 1023
% 0.13/0.96 % (20397)Time elapsed: 0.005 s
% 0.13/0.96 % (20397)Instructions burned: 9 (million)
% 0.13/0.96 % (20397)------------------------------
% 0.13/0.96 % (20397)------------------------------
% 0.13/0.96 % (20398)Instruction limit reached!
% 0.13/0.96 % (20398)------------------------------
% 0.13/0.96 % (20398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.96 % (20398)Termination reason: Unknown
% 0.13/0.96 % (20398)Termination phase: Saturation
% 0.13/0.96
% 0.13/0.96 % (20398)Memory used [KB]: 5628
% 0.13/0.96 % (20398)Time elapsed: 0.007 s
% 0.13/0.96 % (20398)Instructions burned: 18 (million)
% 0.13/0.96 % (20398)------------------------------
% 0.13/0.96 % (20398)------------------------------
% 0.13/0.97 % (20401)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/7Mi)
% 0.13/0.97 % (20401)Instruction limit reached!
% 0.13/0.97 % (20401)------------------------------
% 0.13/0.97 % (20401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.97 % (20401)Termination reason: Unknown
% 0.13/0.97 % (20401)Termination phase: Saturation
% 0.13/0.97
% 0.13/0.97 % (20401)Memory used [KB]: 5500
% 0.13/0.97 % (20401)Time elapsed: 0.004 s
% 0.13/0.97 % (20401)Instructions burned: 9 (million)
% 0.13/0.97 % (20401)------------------------------
% 0.13/0.97 % (20401)------------------------------
% 0.13/0.97 % (20402)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/3Mi)
% 0.13/0.97 % (20400)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/3Mi)
% 0.13/0.97 % (20402)Instruction limit reached!
% 0.13/0.97 % (20402)------------------------------
% 0.13/0.97 % (20402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.97 % (20402)Termination reason: Unknown
% 0.13/0.97 % (20402)Termination phase: Saturation
% 0.13/0.97
% 0.13/0.97 % (20402)Memory used [KB]: 5500
% 0.13/0.97 % (20402)Time elapsed: 0.002 s
% 0.13/0.97 % (20402)Instructions burned: 3 (million)
% 0.13/0.97 % (20402)------------------------------
% 0.13/0.97 % (20402)------------------------------
% 0.13/0.97 % (20399)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/3Mi)
% 0.13/0.97 % (20400)Instruction limit reached!
% 0.13/0.97 % (20400)------------------------------
% 0.13/0.97 % (20400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.97 % (20400)Termination reason: Unknown
% 0.13/0.97 % (20400)Termination phase: Property scanning
% 0.13/0.97
% 0.13/0.97 % (20400)Memory used [KB]: 1023
% 0.13/0.97 % (20400)Time elapsed: 0.003 s
% 0.13/0.97 % (20400)Instructions burned: 3 (million)
% 0.13/0.97 % (20400)------------------------------
% 0.13/0.97 % (20400)------------------------------
% 0.13/0.97 % (20399)Instruction limit reached!
% 0.13/0.97 % (20399)------------------------------
% 0.13/0.97 % (20399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.97 % (20399)Termination reason: Unknown
% 0.13/0.97 % (20399)Termination phase: Twee Goal Transformation
% 0.13/0.97
% 0.13/0.97 % (20399)Memory used [KB]: 1023
% 0.13/0.97 % (20399)Time elapsed: 0.003 s
% 0.13/0.97 % (20399)Instructions burned: 4 (million)
% 0.13/0.97 % (20399)------------------------------
% 0.13/0.97 % (20399)------------------------------
% 0.13/0.98 % (20403)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/4Mi)
% 0.13/0.98 % (20404)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/18Mi)
% 0.13/0.98 % (20403)Instruction limit reached!
% 0.13/0.98 % (20403)------------------------------
% 0.13/0.98 % (20403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.98 % (20403)Termination reason: Unknown
% 0.13/0.98 % (20403)Termination phase: Saturation
% 0.13/0.98
% 0.13/0.98 % (20403)Memory used [KB]: 5500
% 0.13/0.98 % (20403)Time elapsed: 0.004 s
% 0.13/0.98 % (20403)Instructions burned: 6 (million)
% 0.13/0.98 % (20403)------------------------------
% 0.13/0.98 % (20403)------------------------------
% 0.13/0.98 % (20406)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/6Mi)
% 0.13/0.99 % (20404)Instruction limit reached!
% 0.13/0.99 % (20404)------------------------------
% 0.13/0.99 % (20404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.99 % (20404)Termination reason: Unknown
% 0.13/0.99 % (20404)Termination phase: Saturation
% 0.13/0.99
% 0.13/0.99 % (20404)Memory used [KB]: 5500
% 0.13/0.99 % (20404)Time elapsed: 0.007 s
% 0.13/0.99 % (20404)Instructions burned: 18 (million)
% 0.13/0.99 % (20404)------------------------------
% 0.13/0.99 % (20404)------------------------------
% 0.13/0.99 % (20405)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/710Mi)
% 0.13/0.99 % (20406)Instruction limit reached!
% 0.13/0.99 % (20406)------------------------------
% 0.13/0.99 % (20406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.99 % (20406)Termination reason: Unknown
% 0.13/0.99 % (20406)Termination phase: Saturation
% 0.13/0.99
% 0.13/0.99 % (20406)Memory used [KB]: 5500
% 0.13/0.99 % (20406)Time elapsed: 0.004 s
% 0.13/0.99 % (20406)Instructions burned: 8 (million)
% 0.13/0.99 % (20406)------------------------------
% 0.13/0.99 % (20406)------------------------------
% 0.13/0.99 % (20407)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/902Mi)
% 0.13/1.00 % (20385)Instruction limit reached!
% 0.13/1.00 % (20385)------------------------------
% 0.13/1.00 % (20385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/1.00 % (20385)Termination reason: Unknown
% 0.13/1.00 % (20385)Termination phase: Saturation
% 0.13/1.00
% 0.13/1.00 % (20385)Memory used [KB]: 6396
% 0.13/1.00 % (20385)Time elapsed: 0.080 s
% 0.13/1.00 % (20385)Instructions burned: 183 (million)
% 0.13/1.00 % (20385)------------------------------
% 0.13/1.00 % (20385)------------------------------
% 0.13/1.00 % (20408)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/21Mi)
% 0.13/1.01 % (20409)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/5Mi)
% 0.13/1.01 % (20409)Instruction limit reached!
% 0.13/1.01 % (20409)------------------------------
% 0.13/1.01 % (20409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/1.01 % (20409)Termination reason: Unknown
% 0.13/1.01 % (20409)Termination phase: Saturation
% 0.13/1.01
% 0.13/1.01 % (20409)Memory used [KB]: 5500
% 0.13/1.01 % (20409)Time elapsed: 0.006 s
% 0.13/1.01 % (20409)Instructions burned: 5 (million)
% 0.13/1.01 % (20409)------------------------------
% 0.13/1.01 % (20409)------------------------------
% 0.13/1.01 % (20408)Instruction limit reached!
% 0.13/1.01 % (20408)------------------------------
% 0.13/1.01 % (20408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/1.01 % (20408)Termination reason: Unknown
% 0.13/1.01 % (20408)Termination phase: Saturation
% 0.13/1.01
% 0.13/1.01 % (20408)Memory used [KB]: 5628
% 0.13/1.01 % (20408)Time elapsed: 0.012 s
% 0.13/1.01 % (20408)Instructions burned: 21 (million)
% 0.13/1.01 % (20408)------------------------------
% 0.13/1.01 % (20408)------------------------------
% 0.13/1.01 % (20410)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/6Mi)
% 0.13/1.02 % (20410)Instruction limit reached!
% 0.13/1.02 % (20410)------------------------------
% 0.13/1.02 % (20410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/1.02 % (20410)Termination reason: Unknown
% 0.13/1.02 % (20410)Termination phase: Saturation
% 0.13/1.02
% 0.13/1.02 % (20410)Memory used [KB]: 5500
% 0.13/1.02 % (20410)Time elapsed: 0.004 s
% 0.13/1.02 % (20410)Instructions burned: 8 (million)
% 0.13/1.02 % (20410)------------------------------
% 0.13/1.02 % (20410)------------------------------
% 0.13/1.02 % (20390)Instruction limit reached!
% 0.13/1.02 % (20390)------------------------------
% 0.13/1.02 % (20390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/1.02 % (20390)Termination reason: Unknown
% 0.13/1.02 % (20390)Termination phase: Saturation
% 0.13/1.02
% 0.13/1.02 % (20390)Memory used [KB]: 5756
% 0.13/1.02 % (20390)Time elapsed: 0.095 s
% 0.13/1.02 % (20390)Instructions burned: 276 (million)
% 0.13/1.02 % (20390)------------------------------
% 0.13/1.02 % (20390)------------------------------
% 0.13/1.03 % (20413)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/19Mi)
% 1.77/1.03 % (20411)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/377Mi)
% 1.77/1.03 % (20414)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/879Mi)
% 1.77/1.03 % (20413)Instruction limit reached!
% 1.77/1.03 % (20413)------------------------------
% 1.77/1.03 % (20413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.77/1.03 % (20413)Termination reason: Unknown
% 1.77/1.03 % (20413)Termination phase: Saturation
% 1.77/1.03
% 1.77/1.03 % (20413)Memory used [KB]: 5628
% 1.77/1.03 % (20413)Time elapsed: 0.028 s
% 1.77/1.03 % (20413)Instructions burned: 19 (million)
% 1.77/1.03 % (20413)------------------------------
% 1.77/1.03 % (20413)------------------------------
% 1.77/1.04 % (20415)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_20246 for (2998ds/17Mi)
% 1.77/1.04 % (20412)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_20246 for (2999ds/779Mi)
% 1.77/1.05 % (20415)Instruction limit reached!
% 1.77/1.05 % (20415)------------------------------
% 1.77/1.05 % (20415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.77/1.05 % (20415)Termination reason: Unknown
% 1.77/1.05 % (20415)Termination phase: Saturation
% 1.77/1.05
% 1.77/1.05 % (20415)Memory used [KB]: 5628
% 1.77/1.05 % (20415)Time elapsed: 0.007 s
% 1.77/1.05 % (20415)Instructions burned: 17 (million)
% 1.77/1.05 % (20415)------------------------------
% 1.77/1.05 % (20415)------------------------------
% 1.77/1.06 % (20416)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2998ds/3Mi)
% 1.77/1.06 % (20416)Instruction limit reached!
% 1.77/1.06 % (20416)------------------------------
% 1.77/1.06 % (20416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.77/1.06 % (20416)Termination reason: Unknown
% 1.77/1.06 % (20416)Termination phase: Saturation
% 1.77/1.06
% 1.77/1.06 % (20416)Memory used [KB]: 5500
% 1.77/1.06 % (20416)Time elapsed: 0.003 s
% 1.77/1.06 % (20416)Instructions burned: 5 (million)
% 1.77/1.06 % (20416)------------------------------
% 1.77/1.06 % (20416)------------------------------
% 1.77/1.07 % (20417)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_20246 for (2998ds/30Mi)
% 1.77/1.08 % (20417)Instruction limit reached!
% 1.77/1.08 % (20417)------------------------------
% 1.77/1.08 % (20417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.77/1.08 % (20417)Termination reason: Unknown
% 1.77/1.08 % (20417)Termination phase: Saturation
% 1.77/1.08
% 1.77/1.08 % (20417)Memory used [KB]: 5628
% 1.77/1.08 % (20417)Time elapsed: 0.014 s
% 1.77/1.08 % (20417)Instructions burned: 30 (million)
% 1.77/1.08 % (20417)------------------------------
% 1.77/1.08 % (20417)------------------------------
% 1.77/1.09 % (20418)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_20246 for (2998ds/127Mi)
% 2.14/1.13 % (20418)Instruction limit reached!
% 2.14/1.13 % (20418)------------------------------
% 2.14/1.13 % (20418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.13 % (20418)Termination reason: Unknown
% 2.14/1.13 % (20418)Termination phase: Saturation
% 2.14/1.13
% 2.14/1.13 % (20418)Memory used [KB]: 5884
% 2.14/1.13 % (20418)Time elapsed: 0.040 s
% 2.14/1.13 % (20418)Instructions burned: 129 (million)
% 2.14/1.13 % (20418)------------------------------
% 2.14/1.13 % (20418)------------------------------
% 2.14/1.14 % (20419)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/100Mi)
% 2.14/1.15 % (20419)Refutation not found, incomplete strategy
% 2.14/1.15 % (20419)------------------------------
% 2.14/1.15 % (20419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.15 % (20419)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.15
% 2.14/1.15
% 2.14/1.15 % (20419)Memory used [KB]: 5500
% 2.14/1.15 % (20419)Time elapsed: 0.007 s
% 2.14/1.15 % (20419)Instructions burned: 18 (million)
% 2.14/1.15 % (20419)------------------------------
% 2.14/1.15 % (20419)------------------------------
% 2.14/1.16 % (20420)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/3Mi)
% 2.14/1.16 % (20420)Instruction limit reached!
% 2.14/1.16 % (20420)------------------------------
% 2.14/1.16 % (20420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.16 % (20420)Termination reason: Unknown
% 2.14/1.16 % (20420)Termination phase: Saturation
% 2.14/1.16
% 2.14/1.16 % (20420)Memory used [KB]: 5500
% 2.14/1.16 % (20420)Time elapsed: 0.003 s
% 2.14/1.16 % (20420)Instructions burned: 5 (million)
% 2.14/1.16 % (20420)------------------------------
% 2.14/1.16 % (20420)------------------------------
% 2.14/1.17 % (20421)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/20Mi)
% 2.14/1.17 % (20411)Instruction limit reached!
% 2.14/1.17 % (20411)------------------------------
% 2.14/1.17 % (20411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.17 % (20411)Termination reason: Unknown
% 2.14/1.17 % (20411)Termination phase: Saturation
% 2.14/1.17
% 2.14/1.17 % (20411)Memory used [KB]: 5884
% 2.14/1.17 % (20411)Time elapsed: 0.168 s
% 2.14/1.17 % (20411)Instructions burned: 378 (million)
% 2.14/1.17 % (20411)------------------------------
% 2.14/1.17 % (20411)------------------------------
% 2.14/1.18 % (20421)Instruction limit reached!
% 2.14/1.18 % (20421)------------------------------
% 2.14/1.18 % (20421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.18 % (20421)Termination reason: Unknown
% 2.14/1.18 % (20421)Termination phase: Saturation
% 2.14/1.18
% 2.14/1.18 % (20421)Memory used [KB]: 5628
% 2.14/1.18 % (20421)Time elapsed: 0.008 s
% 2.14/1.18 % (20421)Instructions burned: 21 (million)
% 2.14/1.18 % (20421)------------------------------
% 2.14/1.18 % (20421)------------------------------
% 2.14/1.18 % (20425)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/86Mi)
% 2.14/1.19 % (20428)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/107Mi)
% 2.14/1.19 % (20428)Refutation not found, incomplete strategy
% 2.14/1.19 % (20428)------------------------------
% 2.14/1.19 % (20428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.14/1.19 % (20428)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 % (20428)Memory used [KB]: 5500
% 2.14/1.19 % (20428)Time elapsed: 0.002 s
% 2.14/1.19 % (20428)Instructions burned: 3 (million)
% 2.14/1.19 % (20428)------------------------------
% 2.14/1.19 % (20428)------------------------------
% 2.61/1.20 % (20429)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/39Mi)
% 2.61/1.21 % (20425)Instruction limit reached!
% 2.61/1.21 % (20425)------------------------------
% 2.61/1.21 % (20425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.21 % (20425)Termination reason: Unknown
% 2.61/1.21 % (20425)Termination phase: Saturation
% 2.61/1.21
% 2.61/1.21 % (20425)Memory used [KB]: 5884
% 2.61/1.21 % (20425)Time elapsed: 0.027 s
% 2.61/1.21 % (20425)Instructions burned: 87 (million)
% 2.61/1.21 % (20425)------------------------------
% 2.61/1.21 % (20425)------------------------------
% 2.61/1.21 % (20429)Instruction limit reached!
% 2.61/1.21 % (20429)------------------------------
% 2.61/1.21 % (20429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.21 % (20429)Termination reason: Unknown
% 2.61/1.21 % (20429)Termination phase: Saturation
% 2.61/1.21
% 2.61/1.21 % (20429)Memory used [KB]: 5628
% 2.61/1.21 % (20429)Time elapsed: 0.013 s
% 2.61/1.21 % (20429)Instructions burned: 41 (million)
% 2.61/1.21 % (20429)------------------------------
% 2.61/1.21 % (20429)------------------------------
% 2.61/1.21 % (20405)Instruction limit reached!
% 2.61/1.21 % (20405)------------------------------
% 2.61/1.21 % (20405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.21 % (20405)Termination reason: Unknown
% 2.61/1.21 % (20405)Termination phase: Saturation
% 2.61/1.21
% 2.61/1.21 % (20405)Memory used [KB]: 7164
% 2.61/1.21 % (20405)Time elapsed: 0.229 s
% 2.61/1.21 % (20405)Instructions burned: 713 (million)
% 2.61/1.21 % (20405)------------------------------
% 2.61/1.21 % (20405)------------------------------
% 2.61/1.22 % (20431)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/46Mi)
% 2.61/1.22 % (20430)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_20246 for (2997ds/448Mi)
% 2.61/1.22 % (20433)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_20246 for (2996ds/98Mi)
% 2.61/1.23 % (20431)Instruction limit reached!
% 2.61/1.23 % (20431)------------------------------
% 2.61/1.23 % (20431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.23 % (20431)Termination reason: Unknown
% 2.61/1.23 % (20431)Termination phase: Saturation
% 2.61/1.23
% 2.61/1.23 % (20431)Memory used [KB]: 5756
% 2.61/1.23 % (20431)Time elapsed: 0.016 s
% 2.61/1.23 % (20431)Instructions burned: 47 (million)
% 2.61/1.23 % (20431)------------------------------
% 2.61/1.23 % (20431)------------------------------
% 2.61/1.25 % (20435)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_20246 for (2996ds/507Mi)
% 2.61/1.26 % (20433)Instruction limit reached!
% 2.61/1.26 % (20433)------------------------------
% 2.61/1.26 % (20433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.26 % (20433)Termination reason: Unknown
% 2.61/1.26 % (20433)Termination phase: Saturation
% 2.61/1.26
% 2.61/1.26 % (20433)Memory used [KB]: 1279
% 2.61/1.26 % (20433)Time elapsed: 0.039 s
% 2.61/1.26 % (20433)Instructions burned: 99 (million)
% 2.61/1.26 % (20433)------------------------------
% 2.61/1.26 % (20433)------------------------------
% 2.61/1.28 % (20446)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_20246 for (2996ds/149Mi)
% 2.61/1.28 % (20396)Instruction limit reached!
% 2.61/1.28 % (20396)------------------------------
% 2.61/1.28 % (20396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.28 % (20396)Termination reason: Unknown
% 2.61/1.28 % (20396)Termination phase: Saturation
% 2.61/1.28
% 2.61/1.28 % (20396)Memory used [KB]: 6652
% 2.61/1.28 % (20396)Time elapsed: 0.336 s
% 2.61/1.28 % (20396)Instructions burned: 1041 (million)
% 2.61/1.28 % (20396)------------------------------
% 2.61/1.28 % (20396)------------------------------
% 2.61/1.28 % (20412)Instruction limit reached!
% 2.61/1.28 % (20412)------------------------------
% 2.61/1.28 % (20412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.28 % (20412)Termination reason: Unknown
% 2.61/1.28 % (20412)Termination phase: Saturation
% 2.61/1.28
% 2.61/1.28 % (20412)Memory used [KB]: 6524
% 2.61/1.28 % (20412)Time elapsed: 0.268 s
% 2.61/1.28 % (20412)Instructions burned: 781 (million)
% 2.61/1.28 % (20412)------------------------------
% 2.61/1.28 % (20412)------------------------------
% 2.61/1.29 % (20453)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 DTF2THF_20246 for (2996ds/6Mi)
% 2.61/1.29 % (20450)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_20246 for (2996ds/39Mi)
% 2.61/1.30 % (20453)Instruction limit reached!
% 2.61/1.30 % (20453)------------------------------
% 2.61/1.30 % (20453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.30 % (20453)Termination reason: Unknown
% 2.61/1.30 % (20453)Termination phase: Saturation
% 2.61/1.30
% 2.61/1.30 % (20453)Memory used [KB]: 9978
% 2.61/1.30 % (20453)Time elapsed: 0.004 s
% 2.61/1.30 % (20453)Instructions burned: 8 (million)
% 2.61/1.30 % (20453)------------------------------
% 2.61/1.30 % (20453)------------------------------
% 3.23/1.30 % (20407)Instruction limit reached!
% 3.23/1.30 % (20407)------------------------------
% 3.23/1.30 % (20407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.30 % (20407)Termination reason: Unknown
% 3.23/1.30 % (20407)Termination phase: Saturation
% 3.23/1.30
% 3.23/1.30 % (20407)Memory used [KB]: 6268
% 3.23/1.30 % (20407)Time elapsed: 0.308 s
% 3.23/1.30 % (20407)Instructions burned: 902 (million)
% 3.23/1.30 % (20407)------------------------------
% 3.23/1.30 % (20407)------------------------------
% 3.23/1.31 % (20457)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 DTF2THF_20246 for (2996ds/1087Mi)
% 3.23/1.31 % (20450)Instruction limit reached!
% 3.23/1.31 % (20450)------------------------------
% 3.23/1.31 % (20450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.31 % (20450)Termination reason: Unknown
% 3.23/1.31 % (20450)Termination phase: Saturation
% 3.23/1.31
% 3.23/1.31 % (20450)Memory used [KB]: 5628
% 3.23/1.31 % (20450)Time elapsed: 0.021 s
% 3.23/1.31 % (20450)Instructions burned: 40 (million)
% 3.23/1.31 % (20450)------------------------------
% 3.23/1.31 % (20450)------------------------------
% 3.23/1.31 % (20458)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_20246 for (2996ds/47Mi)
% 3.23/1.33 % (20464)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 DTF2THF_20246 for (2996ds/44Mi)
% 3.23/1.34 % (20458)Instruction limit reached!
% 3.23/1.34 % (20458)------------------------------
% 3.23/1.34 % (20458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.34 % (20458)Termination reason: Unknown
% 3.23/1.34 % (20458)Termination phase: Saturation
% 3.23/1.34
% 3.23/1.34 % (20458)Memory used [KB]: 5756
% 3.23/1.34 % (20458)Time elapsed: 0.025 s
% 3.23/1.34 % (20458)Instructions burned: 48 (million)
% 3.23/1.34 % (20458)------------------------------
% 3.23/1.34 % (20458)------------------------------
% 3.23/1.34 % (20414)Instruction limit reached!
% 3.23/1.34 % (20414)------------------------------
% 3.23/1.34 % (20414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.34 % (20414)Termination reason: Unknown
% 3.23/1.34 % (20414)Termination phase: Saturation
% 3.23/1.34
% 3.23/1.34 % (20414)Memory used [KB]: 7291
% 3.23/1.34 % (20414)Time elapsed: 0.333 s
% 3.23/1.34 % (20414)Instructions burned: 879 (million)
% 3.23/1.34 % (20414)------------------------------
% 3.23/1.34 % (20414)------------------------------
% 3.23/1.35 % (20446)Instruction limit reached!
% 3.23/1.35 % (20446)------------------------------
% 3.23/1.35 % (20446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.35 % (20446)Termination reason: Unknown
% 3.23/1.35 % (20446)Termination phase: Saturation
% 3.23/1.35
% 3.23/1.35 % (20446)Memory used [KB]: 5884
% 3.23/1.35 % (20446)Time elapsed: 0.072 s
% 3.23/1.35 % (20446)Instructions burned: 150 (million)
% 3.23/1.35 % (20446)------------------------------
% 3.23/1.35 % (20446)------------------------------
% 3.23/1.35 % (20464)Instruction limit reached!
% 3.23/1.35 % (20464)------------------------------
% 3.23/1.35 % (20464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.35 % (20464)Termination reason: Unknown
% 3.23/1.36 % (20464)Termination phase: Saturation
% 3.23/1.36
% 3.23/1.36 % (20464)Memory used [KB]: 1151
% 3.23/1.36 % (20464)Time elapsed: 0.023 s
% 3.23/1.36 % (20464)Instructions burned: 44 (million)
% 3.23/1.36 % (20464)------------------------------
% 3.23/1.36 % (20464)------------------------------
% 3.23/1.36 % (20470)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_20246 for (2995ds/62Mi)
% 3.23/1.36 % (20469)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 DTF2THF_20246 for (2995ds/432Mi)
% 3.23/1.36 % (20472)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 DTF2THF_20246 for (2995ds/31Mi)
% 3.23/1.37 % (20473)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_20246 for (2995ds/96Mi)
% 3.23/1.38 % (20472)Instruction limit reached!
% 3.23/1.38 % (20472)------------------------------
% 3.23/1.38 % (20472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.38 % (20472)Termination reason: Unknown
% 3.23/1.38 % (20472)Termination phase: Saturation
% 3.23/1.38
% 3.23/1.38 % (20472)Memory used [KB]: 5628
% 3.23/1.38 % (20472)Time elapsed: 0.017 s
% 3.23/1.38 % (20472)Instructions burned: 32 (million)
% 3.23/1.38 % (20472)------------------------------
% 3.23/1.38 % (20472)------------------------------
% 3.23/1.38 % (20470)Instruction limit reached!
% 3.23/1.38 % (20470)------------------------------
% 3.23/1.38 % (20470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.23/1.38 % (20470)Termination reason: Unknown
% 3.23/1.38 % (20470)Termination phase: Saturation
% 3.23/1.38
% 3.23/1.38 % (20470)Memory used [KB]: 5884
% 3.23/1.38 % (20470)Time elapsed: 0.027 s
% 3.23/1.38 % (20470)Instructions burned: 63 (million)
% 3.23/1.38 % (20470)------------------------------
% 3.23/1.38 % (20470)------------------------------
% 3.23/1.39 % (20477)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_20246 for (2995ds/71Mi)
% 3.83/1.40 % (20476)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 DTF2THF_20246 for (2995ds/453Mi)
% 3.83/1.41 % (20430)Instruction limit reached!
% 3.83/1.41 % (20430)------------------------------
% 3.83/1.41 % (20430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.41 % (20430)Termination reason: Unknown
% 3.83/1.41 % (20430)Termination phase: Saturation
% 3.83/1.41
% 3.83/1.41 % (20430)Memory used [KB]: 6524
% 3.83/1.41 % (20430)Time elapsed: 0.190 s
% 3.83/1.41 % (20430)Instructions burned: 449 (million)
% 3.83/1.41 % (20430)------------------------------
% 3.83/1.41 % (20430)------------------------------
% 3.83/1.42 % (20473)Instruction limit reached!
% 3.83/1.42 % (20473)------------------------------
% 3.83/1.42 % (20473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.42 % (20473)Termination reason: Unknown
% 3.83/1.42 % (20473)Termination phase: Saturation
% 3.83/1.42
% 3.83/1.42 % (20473)Memory used [KB]: 5756
% 3.83/1.42 % (20473)Time elapsed: 0.048 s
% 3.83/1.42 % (20473)Instructions burned: 96 (million)
% 3.83/1.42 % (20473)------------------------------
% 3.83/1.42 % (20473)------------------------------
% 3.83/1.42 % (20477)Instruction limit reached!
% 3.83/1.42 % (20477)------------------------------
% 3.83/1.42 % (20477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.42 % (20477)Termination reason: Unknown
% 3.83/1.42 % (20477)Termination phase: Saturation
% 3.83/1.42
% 3.83/1.42 % (20477)Memory used [KB]: 5756
% 3.83/1.42 % (20477)Time elapsed: 0.026 s
% 3.83/1.42 % (20477)Instructions burned: 73 (million)
% 3.83/1.42 % (20477)------------------------------
% 3.83/1.42 % (20477)------------------------------
% 3.83/1.43 % (20479)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_20246 for (2995ds/83Mi)
% 3.83/1.43 % (20482)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 DTF2THF_20246 for (2995ds/41Mi)
% 3.83/1.43 % (20481)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_20246 for (2995ds/11Mi)
% 3.83/1.44 % (20481)Instruction limit reached!
% 3.83/1.44 % (20481)------------------------------
% 3.83/1.44 % (20481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.44 % (20481)Termination reason: Unknown
% 3.83/1.44 % (20481)Termination phase: Saturation
% 3.83/1.44
% 3.83/1.44 % (20481)Memory used [KB]: 5500
% 3.83/1.44 % (20481)Time elapsed: 0.007 s
% 3.83/1.44 % (20481)Instructions burned: 12 (million)
% 3.83/1.44 % (20481)------------------------------
% 3.83/1.44 % (20481)------------------------------
% 3.83/1.44 % (20482)Instruction limit reached!
% 3.83/1.44 % (20482)------------------------------
% 3.83/1.44 % (20482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.44 % (20482)Termination reason: Unknown
% 3.83/1.44 % (20482)Termination phase: Saturation
% 3.83/1.44
% 3.83/1.44 % (20482)Memory used [KB]: 5628
% 3.83/1.44 % (20482)Time elapsed: 0.014 s
% 3.83/1.44 % (20482)Instructions burned: 42 (million)
% 3.83/1.44 % (20482)------------------------------
% 3.83/1.44 % (20482)------------------------------
% 3.83/1.44 % (20435)Instruction limit reached!
% 3.83/1.44 % (20435)------------------------------
% 3.83/1.44 % (20435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.44 % (20435)Termination reason: Unknown
% 3.83/1.44 % (20435)Termination phase: Saturation
% 3.83/1.44
% 3.83/1.44 % (20435)Memory used [KB]: 6140
% 3.83/1.44 % (20435)Time elapsed: 0.199 s
% 3.83/1.44 % (20435)Instructions burned: 507 (million)
% 3.83/1.44 % (20435)------------------------------
% 3.83/1.44 % (20435)------------------------------
% 3.83/1.45 % (20485)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_20246 for (2994ds/150Mi)
% 3.83/1.45 % (20484)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20246 for (2994ds/6Mi)
% 3.83/1.46 % (20484)Instruction limit reached!
% 3.83/1.46 % (20484)------------------------------
% 3.83/1.46 % (20484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.46 % (20484)Termination reason: Unknown
% 3.83/1.46 % (20484)Termination phase: Saturation
% 3.83/1.46
% 3.83/1.46 % (20484)Memory used [KB]: 5500
% 3.83/1.46 % (20484)Time elapsed: 0.005 s
% 3.83/1.46 % (20484)Instructions burned: 7 (million)
% 3.83/1.46 % (20484)------------------------------
% 3.83/1.46 % (20484)------------------------------
% 3.83/1.46 % (20486)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_20246 for (2994ds/343Mi)
% 3.83/1.47 % (20479)Instruction limit reached!
% 3.83/1.47 % (20479)------------------------------
% 3.83/1.47 % (20479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.47 % (20479)Termination reason: Unknown
% 3.83/1.47 % (20479)Termination phase: Saturation
% 3.83/1.47
% 3.83/1.47 % (20479)Memory used [KB]: 5884
% 3.83/1.47 % (20479)Time elapsed: 0.042 s
% 3.83/1.47 % (20479)Instructions burned: 83 (million)
% 3.83/1.47 % (20479)------------------------------
% 3.83/1.47 % (20479)------------------------------
% 3.83/1.47 % (20488)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 DTF2THF_20246 for (2994ds/109Mi)
% 3.83/1.48 % (20488)Refutation not found, incomplete strategy
% 3.83/1.48 % (20488)------------------------------
% 3.83/1.48 % (20488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.83/1.48 % (20488)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.48
% 3.83/1.48
% 3.83/1.48 % (20488)Memory used [KB]: 5500
% 3.83/1.48 % (20488)Time elapsed: 0.004 s
% 3.83/1.48 % (20488)Instructions burned: 4 (million)
% 3.83/1.48 % (20488)------------------------------
% 3.83/1.48 % (20488)------------------------------
% 3.83/1.48 % (20489)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 DTF2THF_20246 for (2994ds/253Mi)
% 3.83/1.49 % (20490)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_20246 for (2994ds/140Mi)
% 4.48/1.51 % (20469)Instruction limit reached!
% 4.48/1.51 % (20469)------------------------------
% 4.48/1.51 % (20469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.48/1.51 % (20469)Termination reason: Unknown
% 4.48/1.51 % (20469)Termination phase: Saturation
% 4.48/1.51
% 4.48/1.51 % (20469)Memory used [KB]: 3454
% 4.48/1.51 % (20469)Time elapsed: 0.154 s
% 4.48/1.51 % (20469)Instructions burned: 433 (million)
% 4.48/1.51 % (20469)------------------------------
% 4.48/1.51 % (20469)------------------------------
% 4.48/1.52 % (20485)Instruction limit reached!
% 4.48/1.52 % (20485)------------------------------
% 4.48/1.52 % (20485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.48/1.52 % (20485)Termination reason: Unknown
% 4.48/1.52 % (20485)Termination phase: Saturation
% 4.48/1.52
% 4.48/1.52 % (20485)Memory used [KB]: 5884
% 4.48/1.52 % (20485)Time elapsed: 0.071 s
% 4.48/1.52 % (20485)Instructions burned: 150 (million)
% 4.48/1.52 % (20485)------------------------------
% 4.48/1.52 % (20485)------------------------------
% 4.48/1.52 % (20492)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 DTF2THF_20246 for (2994ds/614Mi)
% 4.48/1.54 % (20494)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 DTF2THF_20246 for (2994ds/202Mi)
% 4.48/1.55 % (20490)Instruction limit reached!
% 4.48/1.55 % (20490)------------------------------
% 4.48/1.55 % (20490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.48/1.55 % (20490)Termination reason: Unknown
% 4.48/1.55 % (20490)Termination phase: Saturation
% 4.48/1.55
% 4.48/1.55 % (20490)Memory used [KB]: 5884
% 4.48/1.55 % (20490)Time elapsed: 0.058 s
% 4.48/1.55 % (20490)Instructions burned: 141 (million)
% 4.48/1.55 % (20490)------------------------------
% 4.48/1.55 % (20490)------------------------------
% 4.48/1.56 % (20496)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 DTF2THF_20246 for (2993ds/339Mi)
% 4.79/1.60 % (20476)Instruction limit reached!
% 4.79/1.60 % (20476)------------------------------
% 4.79/1.60 % (20476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.60 % (20476)Termination reason: Unknown
% 4.79/1.60 % (20476)Termination phase: Saturation
% 4.79/1.60
% 4.79/1.60 % (20476)Memory used [KB]: 5884
% 4.79/1.60 % (20476)Time elapsed: 0.207 s
% 4.79/1.60 % (20476)Instructions burned: 453 (million)
% 4.79/1.60 % (20476)------------------------------
% 4.79/1.60 % (20476)------------------------------
% 4.79/1.60 % (20489)Instruction limit reached!
% 4.79/1.60 % (20489)------------------------------
% 4.79/1.60 % (20489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.60 % (20489)Termination reason: Unknown
% 4.79/1.60 % (20489)Termination phase: Saturation
% 4.79/1.60
% 4.79/1.60 % (20489)Memory used [KB]: 6012
% 4.79/1.60 % (20489)Time elapsed: 0.123 s
% 4.79/1.60 % (20489)Instructions burned: 254 (million)
% 4.79/1.60 % (20489)------------------------------
% 4.79/1.60 % (20489)------------------------------
% 4.79/1.62 % (20500)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 DTF2THF_20246 for (2993ds/283Mi)
% 4.79/1.62 % (20486)Instruction limit reached!
% 4.79/1.62 % (20486)------------------------------
% 4.79/1.62 % (20486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.62 % (20486)Termination reason: Unknown
% 4.79/1.62 % (20486)Termination phase: Saturation
% 4.79/1.62
% 4.79/1.62 % (20486)Memory used [KB]: 6396
% 4.79/1.62 % (20486)Time elapsed: 0.161 s
% 4.79/1.62 % (20486)Instructions burned: 343 (million)
% 4.79/1.62 % (20486)------------------------------
% 4.79/1.62 % (20486)------------------------------
% 4.79/1.62 % (20501)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_20246 for (2993ds/134Mi)
% 4.79/1.63 % (20494)Instruction limit reached!
% 4.79/1.63 % (20494)------------------------------
% 4.79/1.63 % (20494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.63 % (20494)Termination reason: Unknown
% 4.79/1.63 % (20494)Termination phase: Saturation
% 4.79/1.63
% 4.79/1.63 % (20494)Memory used [KB]: 6012
% 4.79/1.63 % (20494)Time elapsed: 0.098 s
% 4.79/1.63 % (20494)Instructions burned: 203 (million)
% 4.79/1.63 % (20494)------------------------------
% 4.79/1.63 % (20494)------------------------------
% 4.79/1.64 % (20503)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_20246 for (2993ds/298Mi)
% 4.79/1.65 % (20506)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_20246 for (2992ds/192Mi)
% 4.79/1.68 % (20501)Instruction limit reached!
% 4.79/1.68 % (20501)------------------------------
% 4.79/1.68 % (20501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.68 % (20501)Termination reason: Unknown
% 4.79/1.68 % (20501)Termination phase: Saturation
% 4.79/1.68
% 4.79/1.68 % (20501)Memory used [KB]: 6012
% 4.79/1.68 % (20501)Time elapsed: 0.066 s
% 4.79/1.68 % (20501)Instructions burned: 134 (million)
% 4.79/1.68 % (20501)------------------------------
% 4.79/1.68 % (20501)------------------------------
% 4.79/1.69 % (20496)Instruction limit reached!
% 4.79/1.69 % (20496)------------------------------
% 4.79/1.69 % (20496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 4.79/1.69 % (20496)Termination reason: Unknown
% 4.79/1.69 % (20496)Termination phase: Saturation
% 4.79/1.69
% 4.79/1.69 % (20496)Memory used [KB]: 5884
% 4.79/1.69 % (20496)Time elapsed: 0.131 s
% 4.79/1.69 % (20496)Instructions burned: 339 (million)
% 4.79/1.69 % (20496)------------------------------
% 4.79/1.69 % (20496)------------------------------
% 5.66/1.70 % (20509)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 DTF2THF_20246 for (2992ds/258Mi)
% 5.66/1.71 % (20500)Instruction limit reached!
% 5.66/1.71 % (20500)------------------------------
% 5.66/1.71 % (20500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.71 % (20500)Termination reason: Unknown
% 5.66/1.71 % (20500)Termination phase: Saturation
% 5.66/1.71
% 5.66/1.71 % (20500)Memory used [KB]: 6780
% 5.66/1.71 % (20500)Time elapsed: 0.110 s
% 5.66/1.71 % (20500)Instructions burned: 283 (million)
% 5.66/1.71 % (20500)------------------------------
% 5.66/1.71 % (20500)------------------------------
% 5.66/1.71 % (20512)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 DTF2THF_20246 for (2992ds/90Mi)
% 5.66/1.72 % (20513)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 DTF2THF_20246 for (2992ds/231Mi)
% 5.66/1.74 % (20506)Instruction limit reached!
% 5.66/1.74 % (20506)------------------------------
% 5.66/1.74 % (20506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.74 % (20506)Termination reason: Unknown
% 5.66/1.74 % (20506)Termination phase: Saturation
% 5.66/1.74
% 5.66/1.74 % (20506)Memory used [KB]: 6268
% 5.66/1.74 % (20506)Time elapsed: 0.113 s
% 5.66/1.74 % (20506)Instructions burned: 193 (million)
% 5.66/1.74 % (20506)------------------------------
% 5.66/1.74 % (20506)------------------------------
% 5.66/1.75 % (20512)Instruction limit reached!
% 5.66/1.75 % (20512)------------------------------
% 5.66/1.75 % (20512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.75 % (20512)Termination reason: Unknown
% 5.66/1.75 % (20512)Termination phase: Saturation
% 5.66/1.75
% 5.66/1.75 % (20512)Memory used [KB]: 5756
% 5.66/1.75 % (20512)Time elapsed: 0.043 s
% 5.66/1.75 % (20512)Instructions burned: 93 (million)
% 5.66/1.75 % (20512)------------------------------
% 5.66/1.75 % (20512)------------------------------
% 5.66/1.76 % (20518)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 DTF2THF_20246 for (2991ds/458Mi)
% 5.66/1.76 % (20521)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 DTF2THF_20246 for (2991ds/31Mi)
% 5.66/1.77 % (20457)Instruction limit reached!
% 5.66/1.77 % (20457)------------------------------
% 5.66/1.77 % (20457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.77 % (20457)Termination reason: Unknown
% 5.66/1.77 % (20457)Termination phase: Saturation
% 5.66/1.77
% 5.66/1.77 % (20457)Memory used [KB]: 6524
% 5.66/1.77 % (20457)Time elapsed: 0.465 s
% 5.66/1.77 % (20457)Instructions burned: 1088 (million)
% 5.66/1.77 % (20457)------------------------------
% 5.66/1.77 % (20457)------------------------------
% 5.66/1.77 % (20503)Instruction limit reached!
% 5.66/1.77 % (20503)------------------------------
% 5.66/1.77 % (20503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.77 % (20503)Termination reason: Unknown
% 5.66/1.77 % (20503)Termination phase: Saturation
% 5.66/1.77
% 5.66/1.77 % (20503)Memory used [KB]: 6268
% 5.66/1.77 % (20503)Time elapsed: 0.153 s
% 5.66/1.77 % (20503)Instructions burned: 298 (million)
% 5.66/1.77 % (20503)------------------------------
% 5.66/1.77 % (20503)------------------------------
% 5.66/1.77 % (20521)Instruction limit reached!
% 5.66/1.77 % (20521)------------------------------
% 5.66/1.77 % (20521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.77 % (20521)Termination reason: Unknown
% 5.66/1.77 % (20521)Termination phase: Saturation
% 5.66/1.77
% 5.66/1.77 % (20521)Memory used [KB]: 5756
% 5.66/1.77 % (20521)Time elapsed: 0.012 s
% 5.66/1.77 % (20521)Instructions burned: 33 (million)
% 5.66/1.77 % (20521)------------------------------
% 5.66/1.77 % (20521)------------------------------
% 5.66/1.78 % (20523)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 DTF2THF_20246 for (2991ds/297Mi)
% 5.66/1.79 % (20492)Instruction limit reached!
% 5.66/1.79 % (20492)------------------------------
% 5.66/1.79 % (20492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.66/1.79 % (20492)Termination reason: Unknown
% 5.66/1.79 % (20492)Termination phase: Saturation
% 5.66/1.79
% 5.66/1.79 % (20492)Memory used [KB]: 6396
% 5.66/1.79 % (20492)Time elapsed: 0.263 s
% 5.66/1.79 % (20492)Instructions burned: 615 (million)
% 5.66/1.79 % (20492)------------------------------
% 5.66/1.79 % (20492)------------------------------
% 5.66/1.79 % (20524)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 DTF2THF_20246 for (2991ds/987Mi)
% 6.80/1.80 % (20525)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 DTF2THF_20246 for (2991ds/182Mi)
% 6.80/1.80 % (20528)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 DTF2THF_20246 for (2991ds/182Mi)
% 6.80/1.81 % (20509)Instruction limit reached!
% 6.80/1.81 % (20509)------------------------------
% 6.80/1.81 % (20509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.81 % (20509)Termination reason: Unknown
% 6.80/1.81 % (20509)Termination phase: Saturation
% 6.80/1.81
% 6.80/1.81 % (20509)Memory used [KB]: 6012
% 6.80/1.81 % (20509)Time elapsed: 0.134 s
% 6.80/1.81 % (20509)Instructions burned: 258 (million)
% 6.80/1.81 % (20509)------------------------------
% 6.80/1.81 % (20509)------------------------------
% 6.80/1.82 % (20513)Instruction limit reached!
% 6.80/1.82 % (20513)------------------------------
% 6.80/1.82 % (20513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.82 % (20513)Termination reason: Unknown
% 6.80/1.82 % (20513)Termination phase: Saturation
% 6.80/1.82
% 6.80/1.82 % (20513)Memory used [KB]: 6268
% 6.80/1.82 % (20513)Time elapsed: 0.106 s
% 6.80/1.82 % (20513)Instructions burned: 232 (million)
% 6.80/1.82 % (20513)------------------------------
% 6.80/1.82 % (20513)------------------------------
% 6.80/1.83 % (20530)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 DTF2THF_20246 for (2991ds/154Mi)
% 6.80/1.84 % (20531)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 DTF2THF_20246 for (2990ds/79Mi)
% 6.80/1.89 % (20523)Instruction limit reached!
% 6.80/1.89 % (20523)------------------------------
% 6.80/1.89 % (20523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.89 % (20523)Termination reason: Unknown
% 6.80/1.89 % (20523)Termination phase: Saturation
% 6.80/1.89
% 6.80/1.89 % (20523)Memory used [KB]: 6396
% 6.80/1.89 % (20523)Time elapsed: 0.090 s
% 6.80/1.89 % (20523)Instructions burned: 299 (million)
% 6.80/1.89 % (20523)------------------------------
% 6.80/1.89 % (20523)------------------------------
% 6.80/1.89 % (20528)Instruction limit reached!
% 6.80/1.89 % (20528)------------------------------
% 6.80/1.89 % (20528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.89 % (20528)Termination reason: Unknown
% 6.80/1.89 % (20528)Termination phase: Saturation
% 6.80/1.89
% 6.80/1.89 % (20528)Memory used [KB]: 5884
% 6.80/1.89 % (20528)Time elapsed: 0.088 s
% 6.80/1.89 % (20528)Instructions burned: 183 (million)
% 6.80/1.89 % (20528)------------------------------
% 6.80/1.89 % (20528)------------------------------
% 6.80/1.89 % (20531)Instruction limit reached!
% 6.80/1.89 % (20531)------------------------------
% 6.80/1.89 % (20531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.89 % (20531)Termination reason: Unknown
% 6.80/1.89 % (20531)Termination phase: Saturation
% 6.80/1.89
% 6.80/1.89 % (20531)Memory used [KB]: 5756
% 6.80/1.89 % (20531)Time elapsed: 0.056 s
% 6.80/1.89 % (20531)Instructions burned: 80 (million)
% 6.80/1.89 % (20531)------------------------------
% 6.80/1.89 % (20531)------------------------------
% 6.80/1.89 % (20525)Instruction limit reached!
% 6.80/1.89 % (20525)------------------------------
% 6.80/1.89 % (20525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/1.89 % (20525)Termination reason: Unknown
% 6.80/1.89 % (20525)Termination phase: Saturation
% 6.80/1.89
% 6.80/1.89 % (20525)Memory used [KB]: 6012
% 6.80/1.89 % (20525)Time elapsed: 0.090 s
% 6.80/1.89 % (20525)Instructions burned: 182 (million)
% 6.80/1.89 % (20525)------------------------------
% 6.80/1.89 % (20525)------------------------------
% 6.80/1.90 % (20539)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 DTF2THF_20246 for (2990ds/216Mi)
% 7.39/1.90 % (20541)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_20246 for (2990ds/922Mi)
% 7.39/1.91 % (20530)Instruction limit reached!
% 7.39/1.91 % (20530)------------------------------
% 7.39/1.91 % (20530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.91 % (20530)Termination reason: Unknown
% 7.39/1.91 % (20530)Termination phase: Saturation
% 7.39/1.91
% 7.39/1.91 % (20530)Memory used [KB]: 6140
% 7.39/1.91 % (20530)Time elapsed: 0.071 s
% 7.39/1.91 % (20530)Instructions burned: 155 (million)
% 7.39/1.91 % (20530)------------------------------
% 7.39/1.91 % (20530)------------------------------
% 7.39/1.91 % (20542)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 DTF2THF_20246 for (2990ds/182Mi)
% 7.39/1.92 % (20540)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_20246 for (2990ds/114Mi)
% 7.39/1.92 % (20544)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 DTF2THF_20246 for (2990ds/164Mi)
% 7.39/1.96 % (20540)Instruction limit reached!
% 7.39/1.96 % (20540)------------------------------
% 7.39/1.96 % (20540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.96 % (20540)Termination reason: Unknown
% 7.39/1.96 % (20540)Termination phase: Saturation
% 7.39/1.96
% 7.39/1.96 % (20540)Memory used [KB]: 6012
% 7.39/1.96 % (20540)Time elapsed: 0.063 s
% 7.39/1.96 % (20540)Instructions burned: 117 (million)
% 7.39/1.96 % (20540)------------------------------
% 7.39/1.96 % (20540)------------------------------
% 7.39/1.97 % (20547)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 DTF2THF_20246 for (2989ds/50Mi)
% 7.39/1.97 % (20518)Instruction limit reached!
% 7.39/1.97 % (20518)------------------------------
% 7.39/1.97 % (20518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.97 % (20518)Termination reason: Unknown
% 7.39/1.97 % (20518)Termination phase: Saturation
% 7.39/1.97
% 7.39/1.97 % (20518)Memory used [KB]: 6140
% 7.39/1.97 % (20518)Time elapsed: 0.210 s
% 7.39/1.97 % (20518)Instructions burned: 458 (million)
% 7.39/1.97 % (20518)------------------------------
% 7.39/1.97 % (20518)------------------------------
% 7.39/1.98 % (20548)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_20246 for (2989ds/368Mi)
% 7.39/1.98 % (20542)Instruction limit reached!
% 7.39/1.98 % (20542)------------------------------
% 7.39/1.98 % (20542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.98 % (20542)Termination reason: Unknown
% 7.39/1.98 % (20542)Termination phase: Saturation
% 7.39/1.98
% 7.39/1.98 % (20542)Memory used [KB]: 5756
% 7.39/1.98 % (20542)Time elapsed: 0.080 s
% 7.39/1.98 % (20542)Instructions burned: 182 (million)
% 7.39/1.98 % (20542)------------------------------
% 7.39/1.98 % (20542)------------------------------
% 7.39/1.99 % (20547)Instruction limit reached!
% 7.39/1.99 % (20547)------------------------------
% 7.39/1.99 % (20547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.99 % (20547)Termination reason: Unknown
% 7.39/1.99 % (20547)Termination phase: Saturation
% 7.39/1.99
% 7.39/1.99 % (20547)Memory used [KB]: 10362
% 7.39/1.99 % (20547)Time elapsed: 0.022 s
% 7.39/1.99 % (20547)Instructions burned: 50 (million)
% 7.39/1.99 % (20547)------------------------------
% 7.39/1.99 % (20547)------------------------------
% 7.39/1.99 % (20544)Instruction limit reached!
% 7.39/1.99 % (20544)------------------------------
% 7.39/1.99 % (20544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/1.99 % (20544)Termination reason: Unknown
% 7.39/1.99 % (20544)Termination phase: Saturation
% 7.39/1.99
% 7.39/1.99 % (20544)Memory used [KB]: 1279
% 7.39/1.99 % (20544)Time elapsed: 0.074 s
% 7.39/1.99 % (20544)Instructions burned: 165 (million)
% 7.39/1.99 % (20544)------------------------------
% 7.39/1.99 % (20544)------------------------------
% 7.39/2.00 % (20539)Instruction limit reached!
% 7.39/2.00 % (20539)------------------------------
% 7.39/2.00 % (20539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.00 % (20539)Termination reason: Unknown
% 7.39/2.00 % (20539)Termination phase: Saturation
% 7.39/2.00
% 7.39/2.00 % (20539)Memory used [KB]: 6140
% 7.39/2.00 % (20539)Time elapsed: 0.096 s
% 7.39/2.00 % (20539)Instructions burned: 216 (million)
% 7.39/2.00 % (20539)------------------------------
% 7.39/2.00 % (20539)------------------------------
% 7.39/2.00 % (20550)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 DTF2THF_20246 for (2989ds/1021Mi)
% 7.39/2.00 % (20554)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 DTF2THF_20246 for (2989ds/267Mi)
% 7.39/2.00 % (20555)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 DTF2THF_20246 for (2989ds/204Mi)
% 7.39/2.01 % (20556)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 DTF2THF_20246 for (2989ds/26Mi)
% 8.54/2.03 % (20556)Instruction limit reached!
% 8.54/2.03 % (20556)------------------------------
% 8.54/2.03 % (20556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.03 % (20556)Termination reason: Unknown
% 8.54/2.03 % (20556)Termination phase: Saturation
% 8.54/2.03
% 8.54/2.03 % (20556)Memory used [KB]: 5628
% 8.54/2.03 % (20556)Time elapsed: 0.015 s
% 8.54/2.03 % (20556)Instructions burned: 26 (million)
% 8.54/2.03 % (20556)------------------------------
% 8.54/2.03 % (20556)------------------------------
% 8.54/2.05 % (20557)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 DTF2THF_20246 for (2988ds/53Mi)
% 8.54/2.07 % (20557)Instruction limit reached!
% 8.54/2.07 % (20557)------------------------------
% 8.54/2.07 % (20557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.07 % (20557)Termination reason: Unknown
% 8.54/2.07 % (20557)Termination phase: Saturation
% 8.54/2.07
% 8.54/2.07 % (20557)Memory used [KB]: 5628
% 8.54/2.07 % (20557)Time elapsed: 0.042 s
% 8.54/2.07 % (20557)Instructions burned: 55 (million)
% 8.54/2.07 % (20557)------------------------------
% 8.54/2.07 % (20557)------------------------------
% 8.54/2.08 % (20560)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 DTF2THF_20246 for (2988ds/4436Mi)
% 8.54/2.08 % (20555)Instruction limit reached!
% 8.54/2.08 % (20555)------------------------------
% 8.54/2.08 % (20555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.08 % (20555)Termination reason: Unknown
% 8.54/2.08 % (20555)Termination phase: Saturation
% 8.54/2.08
% 8.54/2.08 % (20555)Memory used [KB]: 5884
% 8.54/2.08 % (20555)Time elapsed: 0.077 s
% 8.54/2.08 % (20555)Instructions burned: 206 (million)
% 8.54/2.08 % (20555)------------------------------
% 8.54/2.08 % (20555)------------------------------
% 8.54/2.10 % (20562)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_20246 for (2988ds/1539Mi)
% 9.17/2.13 % (20554)Instruction limit reached!
% 9.17/2.13 % (20554)------------------------------
% 9.17/2.13 % (20554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.17/2.13 % (20554)Termination reason: Unknown
% 9.17/2.13 % (20554)Termination phase: Saturation
% 9.17/2.13
% 9.17/2.13 % (20554)Memory used [KB]: 6012
% 9.17/2.13 % (20554)Time elapsed: 0.126 s
% 9.17/2.13 % (20554)Instructions burned: 267 (million)
% 9.17/2.13 % (20554)------------------------------
% 9.17/2.13 % (20554)------------------------------
% 9.17/2.14 % (20565)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 DTF2THF_20246 for (2987ds/408Mi)
% 9.17/2.16 % (20548)Instruction limit reached!
% 9.17/2.16 % (20548)------------------------------
% 9.17/2.16 % (20548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.17/2.16 % (20548)Termination reason: Unknown
% 9.17/2.16 % (20548)Termination phase: Saturation
% 9.17/2.16
% 9.17/2.16 % (20548)Memory used [KB]: 6524
% 9.17/2.16 % (20548)Time elapsed: 0.179 s
% 9.17/2.16 % (20548)Instructions burned: 368 (million)
% 9.17/2.16 % (20548)------------------------------
% 9.17/2.16 % (20548)------------------------------
% 9.17/2.18 % (20568)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 DTF2THF_20246 for (2987ds/5205Mi)
% 9.44/2.24 % (20524)Instruction limit reached!
% 9.44/2.24 % (20524)------------------------------
% 9.44/2.24 % (20524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.24 % (20524)Termination reason: Unknown
% 9.44/2.24 % (20524)Termination phase: Saturation
% 9.44/2.24
% 9.44/2.24 % (20524)Memory used [KB]: 6524
% 9.44/2.24 % (20524)Time elapsed: 0.451 s
% 9.44/2.24 % (20524)Instructions burned: 988 (million)
% 9.44/2.24 % (20524)------------------------------
% 9.44/2.24 % (20524)------------------------------
% 9.44/2.25 % (20574)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 DTF2THF_20246 for (2986ds/1913Mi)
% 9.44/2.25 % (20574)Refutation not found, incomplete strategy
% 9.44/2.25 % (20574)------------------------------
% 9.44/2.25 % (20574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.25 % (20574)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.25
% 9.44/2.25
% 9.44/2.25 % (20574)Memory used [KB]: 1023
% 9.44/2.25 % (20574)Time elapsed: 0.003 s
% 9.44/2.25 % (20574)Instructions burned: 4 (million)
% 9.44/2.25 % (20574)------------------------------
% 9.44/2.25 % (20574)------------------------------
% 9.44/2.26 % (20575)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 DTF2THF_20246 for (2986ds/4350Mi)
% 9.69/2.32 % (20541)Instruction limit reached!
% 9.69/2.32 % (20541)------------------------------
% 9.69/2.32 % (20541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.69/2.32 % (20541)Termination reason: Unknown
% 9.69/2.32 % (20541)Termination phase: Saturation
% 9.69/2.32
% 9.69/2.32 % (20541)Memory used [KB]: 6140
% 9.69/2.32 % (20541)Time elapsed: 0.416 s
% 9.69/2.32 % (20541)Instructions burned: 924 (million)
% 9.69/2.32 % (20541)------------------------------
% 9.69/2.32 % (20541)------------------------------
% 9.69/2.33 % (20565)Instruction limit reached!
% 9.69/2.33 % (20565)------------------------------
% 9.69/2.33 % (20565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.69/2.33 % (20565)Termination reason: Unknown
% 9.69/2.33 % (20565)Termination phase: Saturation
% 9.69/2.33
% 9.69/2.33 % (20565)Memory used [KB]: 6396
% 9.69/2.33 % (20565)Time elapsed: 0.190 s
% 9.69/2.33 % (20565)Instructions burned: 409 (million)
% 9.69/2.33 % (20565)------------------------------
% 9.69/2.33 % (20565)------------------------------
% 9.69/2.34 % (20581)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 DTF2THF_20246 for (2986ds/68Mi)
% 9.69/2.34 % (20581)Refutation not found, incomplete strategy
% 9.69/2.34 % (20581)------------------------------
% 9.69/2.34 % (20581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.69/2.34 % (20581)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.34
% 9.69/2.34
% 9.69/2.34 % (20581)Memory used [KB]: 5500
% 9.69/2.34 % (20581)Time elapsed: 0.004 s
% 9.69/2.34 % (20581)Instructions burned: 4 (million)
% 9.69/2.34 % (20581)------------------------------
% 9.69/2.34 % (20581)------------------------------
% 9.69/2.35 % (20582)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 DTF2THF_20246 for (2985ds/358Mi)
% 9.69/2.35 % (20583)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 DTF2THF_20246 for (2985ds/31Mi)
% 9.69/2.37 % (20583)Instruction limit reached!
% 9.69/2.37 % (20583)------------------------------
% 9.69/2.37 % (20583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.69/2.37 % (20583)Termination reason: Unknown
% 9.69/2.37 % (20583)Termination phase: Saturation
% 9.69/2.37
% 9.69/2.37 % (20583)Memory used [KB]: 5756
% 9.69/2.37 % (20583)Time elapsed: 0.017 s
% 9.69/2.37 % (20583)Instructions burned: 32 (million)
% 9.69/2.37 % (20583)------------------------------
% 9.69/2.37 % (20583)------------------------------
% 9.69/2.39 % (20588)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_20246 for (2985ds/279Mi)
% 10.07/2.46 % (20550)Instruction limit reached!
% 10.07/2.46 % (20550)------------------------------
% 10.07/2.46 % (20550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.46 % (20550)Termination reason: Unknown
% 10.07/2.46 % (20550)Termination phase: Saturation
% 10.07/2.46
% 10.07/2.46 % (20550)Memory used [KB]: 7036
% 10.07/2.46 % (20550)Time elapsed: 0.457 s
% 10.07/2.46 % (20550)Instructions burned: 1022 (million)
% 10.07/2.46 % (20550)------------------------------
% 10.07/2.46 % (20550)------------------------------
% 10.07/2.46 % (20582)Instruction limit reached!
% 10.07/2.46 % (20582)------------------------------
% 10.07/2.46 % (20582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.46 % (20582)Termination reason: Unknown
% 10.07/2.46 % (20582)Termination phase: Saturation
% 10.07/2.46
% 10.07/2.46 % (20582)Memory used [KB]: 6140
% 10.07/2.46 % (20582)Time elapsed: 0.133 s
% 10.07/2.46 % (20582)Instructions burned: 359 (million)
% 10.07/2.46 % (20582)------------------------------
% 10.07/2.46 % (20582)------------------------------
% 10.07/2.47 % (20593)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_20246 for (2984ds/258Mi)
% 10.07/2.47 % (20594)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 DTF2THF_20246 for (2984ds/26Mi)
% 10.07/2.49 % (20594)Instruction limit reached!
% 10.07/2.49 % (20594)------------------------------
% 10.07/2.49 % (20594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.49 % (20594)Termination reason: Unknown
% 10.07/2.49 % (20594)Termination phase: Saturation
% 10.07/2.49
% 10.07/2.49 % (20594)Memory used [KB]: 5628
% 10.07/2.49 % (20594)Time elapsed: 0.013 s
% 10.07/2.49 % (20594)Instructions burned: 26 (million)
% 10.07/2.49 % (20594)------------------------------
% 10.07/2.49 % (20594)------------------------------
% 10.30/2.50 % (20596)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 DTF2THF_20246 for (2984ds/995Mi)
% 10.30/2.51 % (20588)Instruction limit reached!
% 10.30/2.51 % (20588)------------------------------
% 10.30/2.51 % (20588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.51 % (20588)Termination reason: Unknown
% 10.30/2.51 % (20588)Termination phase: Saturation
% 10.30/2.51
% 10.30/2.51 % (20588)Memory used [KB]: 6140
% 10.30/2.51 % (20588)Time elapsed: 0.122 s
% 10.30/2.51 % (20588)Instructions burned: 280 (million)
% 10.30/2.51 % (20588)------------------------------
% 10.30/2.51 % (20588)------------------------------
% 10.30/2.52 % (20596)Refutation not found, incomplete strategy
% 10.30/2.52 % (20596)------------------------------
% 10.30/2.52 % (20596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.52 % (20596)Termination reason: Refutation not found, incomplete strategy
% 10.30/2.52
% 10.30/2.52
% 10.30/2.52 % (20596)Memory used [KB]: 5628
% 10.30/2.52 % (20596)Time elapsed: 0.018 s
% 10.30/2.52 % (20596)Instructions burned: 34 (million)
% 10.30/2.52 % (20596)------------------------------
% 10.30/2.52 % (20596)------------------------------
% 10.30/2.52 % (20598)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 DTF2THF_20246 for (2984ds/373Mi)
% 10.30/2.52 % (20598)Refutation not found, incomplete strategy
% 10.30/2.52 % (20598)------------------------------
% 10.30/2.52 % (20598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.52 % (20598)Termination reason: Refutation not found, incomplete strategy
% 10.30/2.52
% 10.30/2.52
% 10.30/2.52 % (20598)Memory used [KB]: 5500
% 10.30/2.52 % (20598)Time elapsed: 0.004 s
% 10.30/2.52 % (20598)Instructions burned: 3 (million)
% 10.30/2.52 % (20598)------------------------------
% 10.30/2.52 % (20598)------------------------------
% 10.30/2.53 % (20599)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 DTF2THF_20246 for (2984ds/253Mi)
% 10.30/2.54 % (20601)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_20246 for (2984ds/832Mi)
% 10.30/2.59 % (20593)Instruction limit reached!
% 10.30/2.59 % (20593)------------------------------
% 10.30/2.59 % (20593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.59 % (20593)Termination reason: Unknown
% 10.30/2.59 % (20593)Termination phase: Saturation
% 10.30/2.59
% 10.30/2.59 % (20593)Memory used [KB]: 6140
% 10.30/2.59 % (20593)Time elapsed: 0.123 s
% 10.30/2.59 % (20593)Instructions burned: 259 (million)
% 10.30/2.59 % (20593)------------------------------
% 10.30/2.59 % (20593)------------------------------
% 10.61/2.61 % (20599)Instruction limit reached!
% 10.61/2.61 % (20599)------------------------------
% 10.61/2.61 % (20599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.61/2.61 % (20599)Termination reason: Unknown
% 10.61/2.61 % (20599)Termination phase: Saturation
% 10.61/2.61
% 10.61/2.61 % (20599)Memory used [KB]: 6012
% 10.61/2.61 % (20599)Time elapsed: 0.108 s
% 10.61/2.61 % (20599)Instructions burned: 253 (million)
% 10.61/2.61 % (20599)------------------------------
% 10.61/2.61 % (20599)------------------------------
% 10.61/2.62 % (20603)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 DTF2THF_20246 for (2983ds/668Mi)
% 10.61/2.64 % (20604)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 DTF2THF_20246 for (2983ds/40Mi)
% 10.61/2.67 % (20604)Instruction limit reached!
% 10.61/2.67 % (20604)------------------------------
% 10.61/2.67 % (20604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.61/2.67 % (20604)Termination reason: Unknown
% 10.61/2.67 % (20604)Termination phase: Saturation
% 10.61/2.67
% 10.61/2.67 % (20604)Memory used [KB]: 5628
% 10.61/2.67 % (20604)Time elapsed: 0.054 s
% 10.61/2.67 % (20604)Instructions burned: 41 (million)
% 10.61/2.67 % (20604)------------------------------
% 10.61/2.67 % (20604)------------------------------
% 10.61/2.68 % (20605)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 DTF2THF_20246 for (2982ds/294Mi)
% 10.73/2.75 % (20562)Instruction limit reached!
% 10.73/2.75 % (20562)------------------------------
% 10.73/2.75 % (20562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.75 % (20562)Termination reason: Unknown
% 10.73/2.75 % (20562)Termination phase: Saturation
% 10.73/2.75
% 10.73/2.75 % (20562)Memory used [KB]: 7547
% 10.73/2.75 % (20562)Time elapsed: 0.647 s
% 10.73/2.75 % (20562)Instructions burned: 1540 (million)
% 10.73/2.75 % (20562)------------------------------
% 10.73/2.75 % (20562)------------------------------
% 10.73/2.76 % (20608)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 DTF2THF_20246 for (2981ds/187Mi)
% 10.73/2.76 % (20603)First to succeed.
% 10.73/2.77 % (20603)Refutation found. Thanks to Tanya!
% 10.73/2.77 % SZS status Theorem for DTF2THF_20246
% 10.73/2.77 % SZS output start Proof for DTF2THF_20246
% 10.73/2.77 thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 10.73/2.77 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 10.73/2.77 thf(func_def_19, type, sK2: ($i > $i) > ($i > $i) > ($i > $i) > $o).
% 10.73/2.77 thf(func_def_20, type, sK3: (($i > $i) > $o) > ($i > $i) > $i > $i).
% 10.73/2.77 thf(func_def_21, type, sK4: $i > $i).
% 10.73/2.77 thf(func_def_22, type, sK5: $i > $i).
% 10.73/2.77 thf(func_def_23, type, sK6: ($i > $i) > $o).
% 10.73/2.77 thf(f955,plain,(
% 10.73/2.77 $false),
% 10.73/2.77 inference(avatar_sat_refutation,[status(thm)],[f148,f153,f431,f523,f944])).
% 10.73/2.77 thf(f944,plain,(
% 10.73/2.77 ~spl0_11),
% 10.73/2.77 inference(avatar_contradiction_clause,[status(thm)],[f943])).
% 10.73/2.77 thf(f943,plain,(
% 10.73/2.77 $false | ~spl0_11),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f942])).
% 10.73/2.77 thf(f942,plain,(
% 10.73/2.77 ($false = $true) | ~spl0_11),
% 10.73/2.77 inference(boolean_simplification,[status(thm)],[f941])).
% 10.73/2.77 thf(f941,plain,(
% 10.73/2.77 ($false = (b = b)) | ~spl0_11),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f940])).
% 10.73/2.77 thf(f940,plain,(
% 10.73/2.77 ($false = (b = b)) | ($false = $true) | ~spl0_11),
% 10.73/2.77 inference(boolean_simplification,[status(thm)],[f939])).
% 10.73/2.77 thf(f939,plain,(
% 10.73/2.77 ((~ $true) = $true) | ($false = (b = b)) | ~spl0_11),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f896])).
% 10.73/2.77 thf(f896,plain,(
% 10.73/2.77 ($false = ((^[Y0 : $i > $i]: (((^[Y1 : $i > $i]: (Y1 @ ((^[Y2 : $i > $i]: (a)) @ Y1))) @ Y0) = ((^[Y1 : $i > $i]: (b)) @ Y0))) @ (^[Y0 : $i]: (b)))) | ((~ $true) = $true) | ~spl0_11),
% 10.73/2.77 inference(superposition,[status(thm)],[f75,f428])).
% 10.73/2.77 thf(f428,plain,(
% 10.73/2.77 ( ! [X0 : ($i > $i) > $o] : (($true = (X0 @ (^[Y0 : $i]: (Y0)))) | ($false = (X0 @ (^[Y0 : $i]: (b))))) ) | ~spl0_11),
% 10.73/2.77 inference(avatar_component_clause,[status(thm)],[f427])).
% 10.73/2.77 thf(f427,definition,(
% 10.73/2.77 spl0_11 <=> ! [X0 : ($i > $i) > $o] : (($false = (X0 @ (^[Y0 : $i]: (b)))) | ($true = (X0 @ (^[Y0 : $i]: (Y0)))))),
% 10.73/2.77 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 10.73/2.77 thf(f75,plain,(
% 10.73/2.77 ((~ (a = b)) = $true)),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 10.73/2.77 thf(f7,plain,(
% 10.73/2.77 ($false = ((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))))),
% 10.73/2.77 inference(not_proxy_clausification,[status(thm)],[f6])).
% 10.73/2.77 thf(f6,plain,(
% 10.73/2.77 ($true = (~ ((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))))))),
% 10.73/2.77 inference(cnf_transformation,[status(thm)],[f5])).
% 10.73/2.77 thf(f5,plain,(
% 10.73/2.77 ($true = (~ ((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))))))),
% 10.73/2.77 inference(fool_elimination,[status(thm)],[f4])).
% 10.73/2.77 thf(f4,plain,(
% 10.73/2.77 ~((a != b) => ~! [X0 : $i > $i,X1 : $i > $i] : (! [X2 : ($i > $i) > $o] : ((! [X3 : $i > $i] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : (X1 @ (X3 @ X4))))) & (X2 @ X1)) => (X2 @ (^[X5 : $i] : (X0 @ (X1 @ X5))))) => ! [X6 : ($i > $i) > $o] : (((X6 @ X1) & ! [X7 : $i > $i] : ((X6 @ X7) => (X6 @ (^[X8 : $i] : (X1 @ (X7 @ X8)))))) => (X6 @ X0))))),
% 10.73/2.77 inference(rectify,[status(thm)],[f2])).
% 10.73/2.77 thf(f2,negated_conjecture,(
% 10.73/2.77 ~((a != b) => ~! [X1 : $i > $i,X0 : $i > $i] : (! [X2 : ($i > $i) > $o] : ((! [X3 : $i > $i] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : (X0 @ (X3 @ X4))))) & (X2 @ X0)) => (X2 @ (^[X4 : $i] : (X1 @ (X0 @ X4))))) => ! [X2 : ($i > $i) > $o] : (((X2 @ X0) & ! [X5 : $i > $i] : ((X2 @ X5) => (X2 @ (^[X4 : $i] : (X0 @ (X5 @ X4)))))) => (X2 @ X1))))),
% 10.73/2.77 inference(negated_conjecture,[status(cth)],[f1])).
% 10.73/2.77 thf(f1,conjecture,(
% 10.73/2.77 (a != b) => ~! [X1 : $i > $i,X0 : $i > $i] : (! [X2 : ($i > $i) > $o] : ((! [X3 : $i > $i] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : (X0 @ (X3 @ X4))))) & (X2 @ X0)) => (X2 @ (^[X4 : $i] : (X1 @ (X0 @ X4))))) => ! [X2 : ($i > $i) > $o] : (((X2 @ X0) & ! [X5 : $i > $i] : ((X2 @ X5) => (X2 @ (^[X4 : $i] : (X0 @ (X5 @ X4)))))) => (X2 @ X1)))),
% 10.73/2.77 file('/export/starexec/sandbox2/tmp/tmp.22o5y1xfO9/DTF2THF_20246.p',cTHM196B_pme)).
% 10.73/2.77 thf(f523,plain,(
% 10.73/2.77 ~spl0_10),
% 10.73/2.77 inference(avatar_contradiction_clause,[status(thm)],[f514])).
% 10.73/2.77 thf(f514,plain,(
% 10.73/2.77 $false | ~spl0_10),
% 10.73/2.77 inference(equality_resolution,[status(thm)],[f504])).
% 10.73/2.77 thf(f504,plain,(
% 10.73/2.77 ( ! [X1 : ($i > $i) > $i] : ((a != (X1 @ (^[Y0 : $i]: (Y0))))) ) | ~spl0_10),
% 10.73/2.77 inference(equality_proxy_clausification,[status(thm)],[f472])).
% 10.73/2.77 thf(f472,plain,(
% 10.73/2.77 ( ! [X1 : ($i > $i) > $i] : (($false = (a = (X1 @ (^[Y0 : $i]: (Y0)))))) ) | ~spl0_10),
% 10.73/2.77 inference(not_proxy_clausification,[status(thm)],[f425])).
% 10.73/2.77 thf(f425,plain,(
% 10.73/2.77 ( ! [X1 : ($i > $i) > $i] : (($true = (~ (a = (X1 @ (^[Y0 : $i]: (Y0))))))) ) | ~spl0_10),
% 10.73/2.77 inference(avatar_component_clause,[status(thm)],[f424])).
% 10.73/2.77 thf(f424,definition,(
% 10.73/2.77 spl0_10 <=> ! [X1 : ($i > $i) > $i] : ($true = (~ (a = (X1 @ (^[Y0 : $i]: (Y0))))))),
% 10.73/2.77 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 10.73/2.77 thf(f431,plain,(
% 10.73/2.77 spl0_11 | spl0_10 | ~spl0_3 | ~spl0_6),
% 10.73/2.77 inference(avatar_split_clause,[status(thm)],[f409,f67,f41,f424,f427])).
% 10.73/2.77 thf(f41,definition,(
% 10.73/2.77 spl0_3 <=> ! [X2 : $i > $i,X1 : $i > $i,X3 : ($i > $i) > $o] : (($false = (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))) | ($false = (X3 @ X1)) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = (X3 @ X2)))),
% 10.73/2.77 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 10.73/2.77 thf(f67,definition,(
% 10.73/2.77 spl0_6 <=> ! [X2 : $i > $i,X1 : $i > $i,X3 : ($i > $i) > $o] : (((sK2 @ X1 @ X2 @ X1) = $true) | ($true = (X3 @ X2)) | ($false = (X3 @ X1)) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))))),
% 10.73/2.77 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 10.73/2.77 thf(f409,plain,(
% 10.73/2.77 ( ! [X0 : ($i > $i) > $i,X1 : ($i > $i) > $o] : (((~ (a = (X0 @ (^[Y0 : $i]: (Y0))))) = $true) | ((X1 @ (^[Y0 : $i]: (Y0))) = $true) | ($false = (X1 @ (^[Y0 : $i]: (b))))) ) | (~spl0_3 | ~spl0_6)),
% 10.73/2.77 inference(duplicate_literal_removal,[status(thm)],[f408])).
% 10.73/2.77 thf(f408,plain,(
% 10.73/2.77 ( ! [X0 : ($i > $i) > $i,X1 : ($i > $i) > $o] : (($false = (X1 @ (^[Y0 : $i]: (b)))) | ((X1 @ (^[Y0 : $i]: (Y0))) = $true) | ((~ (a = (X0 @ (^[Y0 : $i]: (Y0))))) = $true) | ($false = (X1 @ (^[Y0 : $i]: (b))))) ) | (~spl0_3 | ~spl0_6)),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f407])).
% 10.73/2.77 thf(f407,plain,(
% 10.73/2.77 ( ! [X0 : ($i > $i) > $i,X1 : ($i > $i) > $o] : (((X1 @ (^[Y0 : $i]: (Y0))) = $true) | ((~ (a = ((^[Y0 : $i]: (Y0)) @ (X0 @ (^[Y0 : $i]: (Y0)))))) = $true) | ($false = (X1 @ (^[Y0 : $i]: (b)))) | ($false = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (b)) @ (sK3 @ X1 @ (^[Y1 : $i]: (b)) @ Y0)))))) ) | (~spl0_3 | ~spl0_6)),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f365])).
% 10.73/2.77 thf(f365,plain,(
% 10.73/2.77 ( ! [X0 : ($i > $i) > $i,X1 : ($i > $i) > $o] : (($false = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (b)) @ (sK3 @ X1 @ (^[Y1 : $i]: (b)) @ Y0))))) | ($false = (X1 @ (^[Y0 : $i]: (b)))) | ($false = $true) | ((~ (a = ((^[Y0 : $i]: (Y0)) @ (X0 @ (^[Y0 : $i]: (Y0)))))) = $true) | ((X1 @ (^[Y0 : $i]: (Y0))) = $true)) ) | (~spl0_3 | ~spl0_6)),
% 10.73/2.77 inference(superposition,[status(thm)],[f358,f42])).
% 10.73/2.77 thf(f42,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = (X3 @ X2)) | ($false = (X3 @ X1))) ) | ~spl0_3),
% 10.73/2.77 inference(avatar_component_clause,[status(thm)],[f41])).
% 10.73/2.77 thf(f358,plain,(
% 10.73/2.77 ( ! [X2 : ($i > $i) > $i,X3 : $i > $i] : (((sK2 @ (^[Y0 : $i]: (b)) @ X3 @ (^[Y0 : $i]: (b))) = $true) | ((~ (a = (X3 @ (X2 @ X3)))) = $true)) ) | ~spl0_6),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f357])).
% 10.73/2.77 thf(f357,plain,(
% 10.73/2.77 ( ! [X2 : ($i > $i) > $i,X3 : $i > $i] : (($false = $true) | ((sK2 @ (^[Y0 : $i]: (b)) @ X3 @ (^[Y0 : $i]: (b))) = $true) | ((~ (a = (X3 @ (X2 @ X3)))) = $true)) ) | ~spl0_6),
% 10.73/2.77 inference(forward_demodulation,[status(thm)],[f356,f75])).
% 10.73/2.77 thf(f356,plain,(
% 10.73/2.77 ( ! [X2 : ($i > $i) > $i,X3 : $i > $i] : (($false = (~ (a = b))) | ((sK2 @ (^[Y0 : $i]: (b)) @ X3 @ (^[Y0 : $i]: (b))) = $true) | ((~ (a = (X3 @ (X2 @ X3)))) = $true)) ) | ~spl0_6),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f355])).
% 10.73/2.77 thf(f355,plain,(
% 10.73/2.77 ( ! [X2 : ($i > $i) > $i,X3 : $i > $i] : ((((^[Y0 : $i > $i]: (~ ((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: (a)) @ Y1) = ((^[Y2 : $i > $i]: (Y2 @ (X2 @ Y2))) @ Y1))) @ Y0))) @ X3) = $true) | ((sK2 @ (^[Y0 : $i]: (b)) @ X3 @ (^[Y0 : $i]: (b))) = $true) | ($false = ((^[Y0 : $i > $i]: (~ ((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: (a)) @ Y1) = ((^[Y2 : $i > $i]: (Y2 @ (X2 @ Y2))) @ Y1))) @ Y0))) @ (^[Y0 : $i]: (b))))) ) | ~spl0_6),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f306])).
% 10.73/2.77 thf(f306,plain,(
% 10.73/2.77 ( ! [X2 : ($i > $i) > $i,X3 : $i > $i] : (((sK2 @ (^[Y0 : $i]: (b)) @ X3 @ (^[Y0 : $i]: (b))) = $true) | ($false = $true) | (((^[Y0 : $i > $i]: (~ ((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: (a)) @ Y1) = ((^[Y2 : $i > $i]: (Y2 @ (X2 @ Y2))) @ Y1))) @ Y0))) @ X3) = $true) | ($false = ((^[Y0 : $i > $i]: (~ ((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: (a)) @ Y1) = ((^[Y2 : $i > $i]: (Y2 @ (X2 @ Y2))) @ Y1))) @ Y0))) @ (^[Y0 : $i]: (b))))) ) | ~spl0_6),
% 10.73/2.77 inference(superposition,[status(thm)],[f68,f75])).
% 10.73/2.77 thf(f68,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ((sK2 @ X1 @ X2 @ X1) = $true) | ($true = (X3 @ X2)) | ($false = (X3 @ X1))) ) | ~spl0_6),
% 10.73/2.77 inference(avatar_component_clause,[status(thm)],[f67])).
% 10.73/2.77 thf(f153,plain,(
% 10.73/2.77 spl0_3),
% 10.73/2.77 inference(avatar_split_clause,[status(thm)],[f144,f41])).
% 10.73/2.77 thf(f144,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ X1)) | ($false = (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = (X3 @ X2))) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f132])).
% 10.73/2.77 thf(f132,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0)))))) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = (X3 @ X2)) | ($false = (X3 @ X1))) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f131])).
% 10.73/2.77 thf(f131,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ X1)) | ($true = (X3 @ X2)) | ($false = ((X3 @ (sK3 @ X3 @ X1)) => (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0)))))) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f130])).
% 10.73/2.77 thf(f130,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ X1)) | ($false = ((^[Y0 : $i > $i]: ((X3 @ Y0) => (X3 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))) @ (sK3 @ X3 @ X1))) | ($true = (X3 @ X2)) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(sigma_clausification,[status(thm)],[f129])).
% 10.73/2.77 thf(f129,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((X3 @ Y0) => (X3 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) | ($true = (X3 @ X2)) | ($false = (X3 @ X1)) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f128])).
% 10.73/2.77 thf(f128,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((X3 @ Y0) => (X3 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1))))))) & (X3 @ X1))) | ($true = (X3 @ X2)) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f127])).
% 10.73/2.77 thf(f127,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($true = (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((X3 @ Y0) => (X3 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1))))))) & (X3 @ X1)) => (X3 @ X2))) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f126])).
% 10.73/2.77 thf(f126,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : ((((^[Y0 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2))))))) & (Y0 @ X1)) => (Y0 @ X2))) @ X3) = $true) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(pi_clausification,[status(thm)],[f125])).
% 10.73/2.77 thf(f125,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X1 : $i > $i] : (((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2))))))) & (Y0 @ X1)) => (Y0 @ X2)))) = $true) | ($false = (((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))) => (sK2 @ X1 @ X2 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0))))))) )),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f124])).
% 10.73/2.77 thf(f124,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X1 : $i > $i] : (((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2))))))) & (Y0 @ X1)) => (Y0 @ X2)))) = $true) | ($false = ((^[Y0 : ($i > $i) > $o]: (((Y0 @ X1) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : $i]: (X2 @ (X1 @ Y1)))))) @ (sK2 @ X1 @ X2)))) )),
% 10.73/2.77 inference(sigma_clausification,[status(thm)],[f123])).
% 10.73/2.77 thf(f123,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X1 : $i > $i] : (($false = (!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ X1) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : $i]: (X2 @ (X1 @ Y1)))))))) | ((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2))))))) & (Y0 @ X1)) => (Y0 @ X2)))) = $true)) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f122])).
% 10.73/2.77 thf(f122,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X1 : $i > $i] : ((((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ X1) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : $i]: (X2 @ (X1 @ Y1))))))) => (!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (X1 @ (Y1 @ Y2))))))) & (Y0 @ X1)) => (Y0 @ X2))))) = $true)) )),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f121])).
% 10.73/2.77 thf(f121,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X1 : $i > $i] : ((((^[Y0 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: (((Y1 @ X1) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i]: (X1 @ (Y2 @ Y3)))))))) => (Y1 @ (^[Y2 : $i]: (Y0 @ (X1 @ Y2))))))) => (!! @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i]: (X1 @ (Y2 @ Y3))))))) & (Y1 @ X1)) => (Y1 @ Y0)))))) @ X2) = $true)) )),
% 10.73/2.77 inference(pi_clausification,[status(thm)],[f120])).
% 10.73/2.77 thf(f120,plain,(
% 10.73/2.77 ( ! [X1 : $i > $i] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: (((Y1 @ X1) & (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i]: (X1 @ (Y2 @ Y3)))))))) => (Y1 @ (^[Y2 : $i]: (Y0 @ (X1 @ Y2))))))) => (!! @ (($i > $i) > $o) @ (^[Y1 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i]: (X1 @ (Y2 @ Y3))))))) & (Y1 @ X1)) => (Y1 @ Y0))))))) = $true)) )),
% 10.73/2.77 inference(beta_eta_normalization,[status(thm)],[f119])).
% 10.73/2.77 thf(f119,plain,(
% 10.73/2.77 ( ! [X1 : $i > $i] : ((((^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))) @ X1) = $true)) )),
% 10.73/2.77 inference(pi_clausification,[status(thm)],[f118])).
% 10.73/2.77 thf(f118,plain,(
% 10.73/2.77 ($false != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))),
% 10.73/2.77 inference(backward_demodulation,[status(thm)],[f80,f74])).
% 10.73/2.77 thf(f74,plain,(
% 10.73/2.77 ($false = (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))))),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 10.73/2.77 thf(f80,plain,(
% 10.73/2.77 ((~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))),
% 10.73/2.77 inference(boolean_simplification,[status(thm)],[f76])).
% 10.73/2.77 thf(f76,plain,(
% 10.73/2.77 (($true => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))),
% 10.73/2.77 inference(backward_demodulation,[status(thm)],[f12,f75])).
% 10.73/2.77 thf(f12,plain,(
% 10.73/2.77 (((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))),
% 10.73/2.77 inference(trivial_inequality_removal,[status(thm)],[f11])).
% 10.73/2.77 thf(f11,plain,(
% 10.73/2.77 (((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))) | ($false = $true)),
% 10.73/2.77 inference(boolean_simplification,[status(thm)],[f10])).
% 10.73/2.77 thf(f10,plain,(
% 10.73/2.77 ((~ $true) = $true) | (((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))),
% 10.73/2.77 inference(boolean_simplification,[status(thm)],[f8])).
% 10.73/2.77 thf(f8,plain,(
% 10.73/2.77 (((~ (a = b)) => (~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))))) != (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((Y2 @ Y0) & (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : $i]: (Y1 @ (Y0 @ Y3))))))) => (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: (((!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i]: (Y0 @ (Y3 @ Y4))))))) & (Y2 @ Y0)) => (Y2 @ Y1)))))))))) | ((~ ((~ (a = b)) => $true)) = $true)),
% 10.73/2.77 inference(constrained_superposition,[status(thm)],[f6,f6])).
% 10.73/2.77 thf(f148,plain,(
% 10.73/2.77 spl0_6),
% 10.73/2.77 inference(avatar_split_clause,[status(thm)],[f147,f67])).
% 10.73/2.77 thf(f147,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ X1)) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = (X3 @ X2)) | ((sK2 @ X1 @ X2 @ X1) = $true)) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f145])).
% 10.73/2.77 thf(f145,plain,(
% 10.73/2.77 ( ! [X2 : $i > $i,X3 : ($i > $i) > $o,X1 : $i > $i] : (($false = (X3 @ X1)) | ($true = (X3 @ X2)) | ($false = (X3 @ (^[Y0 : $i]: (X1 @ (sK3 @ X3 @ X1 @ Y0))))) | ($true = ((sK2 @ X1 @ X2 @ X1) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((sK2 @ X1 @ X2 @ Y0) => (sK2 @ X1 @ X2 @ (^[Y1 : $i]: (X1 @ (Y0 @ Y1)))))))))) )),
% 10.73/2.77 inference(binary_proxy_clausification,[status(thm)],[f132])).
% 10.73/2.77 % SZS output end Proof for DTF2THF_20246
% 10.73/2.77 % (20603)------------------------------
% 10.73/2.77 % (20603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.77 % (20603)Termination reason: Refutation
% 10.73/2.77
% 10.73/2.77 % (20603)Memory used [KB]: 11129
% 10.73/2.77 % (20603)Time elapsed: 0.184 s
% 10.73/2.77 % (20603)Instructions burned: 362 (million)
% 10.73/2.77 % (20603)------------------------------
% 10.73/2.77 % (20603)------------------------------
% 10.73/2.77 % (20384)Success in time 1.856 s
%------------------------------------------------------------------------------