%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV021^5 : 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 : n027.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 09:40:05 AM UTC 2026
% Result : Theorem 15.05s 3.36s
% Output : Refutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 156 ( 38 unt; 0 typ; 11 def)
% Number of atoms : 1471 ( 377 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 1907 ( 96 ~; 274 |; 148 &;1139 @)
% ( 14 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 303 ( 303 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 18 usr; 15 con; 0-2 aty)
% ( 107 !!; 48 ??; 0 @@+; 0 @@-)
% Number of variables : 376 ( 153 ^; 211 !; 12 ?; 376 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: ( a > $o ) > $o ).
thf(func_def_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
sK2: a > a > $o ).
thf(func_def_20,type,
sK3: ( a > $o ) > a ).
thf(func_def_21,type,
sK4: ( a > a > $o ) > a > $o ).
thf(func_def_22,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_23,type,
sK6: ( a > a > $o ) > a ).
thf(f1458,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f172,f230,f714,f824,f836,f839,f931,f952,f953,f980,f984,f987,f1401,f1457]) ).
thf(f1457,plain,
( spl0_6
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[status(thm)],[f1456]) ).
thf(f1456,plain,
( $false
| spl0_6
| ~ spl0_35 ),
inference(subsumption_resolution,[status(thm)],[f1455,f170]) ).
thf(f170,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
!= $false )
| spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f169,definition,
( spl0_6
<=> ( ( cP @ ( sK4 @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f1455,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ~ spl0_35 ),
inference(equality_resolution,[status(thm)],[f1243]) ).
thf(f1243,plain,
( ! [X1: a > $o] :
( ( ( sK4 @ sK2 )
!= X1 )
| ( ( cP @ X1 )
= $false ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[status(thm)],[f1242]) ).
thf(f1242,definition,
( spl0_35
<=> ! [X1: a > $o] :
( ( ( cP @ X1 )
= $false )
| ( ( sK4 @ sK2 )
!= X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_35])],[avatar_definition]) ).
thf(f1401,plain,
( spl0_35
| spl0_10
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[status(thm)],[f1400,f572,f223,f215,f1242]) ).
thf(f215,definition,
( spl0_10
<=> ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f223,definition,
( spl0_12
<=> ( ( sK4 @ sK2 @ ( sK6 @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f572,definition,
( spl0_15
<=> ! [X2: a > $o,X1: a > $o] :
( ( ( X1 @ ( sK5 @ sK2 ) )
= $false )
| ( X1 != X2 )
| ( $true
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( ( cP @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition]) ).
thf(f1400,plain,
( ! [X0: a > $o] :
( ( ( sK4 @ sK2 )
!= X0 )
| ( ( cP @ X0 )
= $false ) )
| spl0_10
| ~ spl0_12
| ~ spl0_15 ),
inference(subsumption_resolution,[status(thm)],[f1380,f216]) ).
thf(f216,plain,
( ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
!= $false )
| spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f215]) ).
thf(f1380,plain,
( ! [X0: a > $o] :
( ( ( sK4 @ sK2 )
!= X0 )
| ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false ) )
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[status(thm)],[f1374]) ).
thf(f1374,plain,
( ! [X0: a > $o] :
( ( ( sK4 @ sK2 )
!= X0 )
| ( ( cP @ X0 )
= $false )
| ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ( $true = $false ) )
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[status(thm)],[f224,f573]) ).
thf(f573,plain,
( ! [X2: a > $o,X1: a > $o] :
( ( $true
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( ( cP @ X2 )
= $false )
| ( ( X1 @ ( sK5 @ sK2 ) )
= $false )
| ( X1 != X2 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[status(thm)],[f572]) ).
thf(f224,plain,
( ( ( sK4 @ sK2 @ ( sK6 @ sK2 ) )
= $false )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f987,plain,
( spl0_12
| spl0_3
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f751,f169,f162,f159,f223]) ).
thf(f159,definition,
( spl0_3
<=> ! [X2: a,X1: a > $o] :
( ( ( cP @ X1 )
= $false )
| ( ( sK2 @ ( sK5 @ sK2 ) @ X2 )
= $false )
| ( $false
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( $false
= ( X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f162,definition,
( spl0_4
<=> ! [X0: a] :
( ( sK4 @ sK2 @ X0 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f751,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false )
| ( ( sK4 @ sK2 @ ( sK6 @ sK2 ) )
= $false )
| ( ( X0 @ X1 )
= $false )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ X1 ) )
| ( ( X0 @ ( sK6 @ sK2 ) )
= $false )
| ( $false
= ( sK4 @ sK2 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f745]) ).
thf(f745,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( $false
= ( sK4 @ sK2 @ X2 ) )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ X1 ) )
| ( ( sK4 @ sK2 @ ( sK6 @ sK2 ) )
= $false )
| ( $true = $false )
| ( ( X0 @ X1 )
= $false )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( X0 @ ( sK6 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f82,f154]) ).
thf(f154,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( X1 @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $false
= ( sK4 @ X1 @ ( sK6 @ X1 ) ) )
| ( ( sK4 @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK4 @ X1 @ ( sK6 @ X1 ) )
!= ( X1 @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( sK4 @ X1 @ X2 )
= $false )
| ( ( cP @ ( sK4 @ X1 ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X1: a > a > $o] :
( ( ( sK4 @ X1 @ ( sK6 @ X1 ) )
!= ( X1 @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X1: a > a > $o] :
( ( $false
= ( ( sK4 @ X1 @ ( sK6 @ X1 ) )
= ( X1 @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X1: a > a > $o] :
( ( ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ ( sK5 @ X1 ) @ Y0 ) )
@ ( sK6 @ X1 ) )
= $false )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f59]) ).
thf(f59,plain,
! [X1: a > a > $o] :
( ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ ( sK5 @ X1 ) @ Y0 ) ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
! [X1: a > a > $o] :
( ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( ( ( sK4 @ X1 @ ( sK5 @ X1 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ ( sK5 @ X1 ) @ Y0 ) ) ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f57]) ).
thf(f57,plain,
! [X1: a > a > $o] :
( ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) )
| ( ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK5 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
! [X1: a > a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X1: a > a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ ( sK4 @ X1 ) ) )
= $false )
| ( ( cP @ ( sK4 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ ( sK4 @ X1 ) ) )
!= ( cP @ ( sK4 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f52]) ).
thf(f52,plain,
! [X1: a > a > $o] :
( ( cP @ ( sK4 @ X1 ) )
!= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
@ ( sK4 @ X1 ) ) ),
inference(negative_extensionality,[status(thm)],[f49]) ).
thf(f49,plain,
! [X1: a > a > $o] :
( cP
!= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: a > a > $o] :
( ( cP
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
! [X1: a > a > $o] :
( $false
= ( ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) ) )
=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) ) )
=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) ) )
=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) ) )
=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( cP
= ( ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ( ( X0 = X1 )
& ( cP @ X1 ) )
=> ( cP @ X0 ) )
=> ( ( ! [X2: a] :
? [X3: a > $o] :
( ( X3 @ X2 )
& ( cP @ X3 ) )
& ! [X4: a > $o] :
( ( cP @ X4 )
=> ? [X5: a] : ( X4 @ X5 ) )
& ! [X6: a > $o,X7: a,X8: a,X9: a > $o] :
( ( ( cP @ X6 )
& ( X6 @ X8 )
& ( X9 @ X8 )
& ( cP @ X9 )
& ( X9 @ X7 ) )
=> ( X6 @ X7 ) ) )
=> ? [X10: a > a > $o] :
( cP
= ( ^ [X11: a > $o] :
( ? [X12: a] : ( X11 @ X12 )
& ! [X13: a] :
( ( X11 @ X13 )
=> ! [X14: a] :
( ( X11 @ X14 )
<=> ( X10 @ X13 @ X14 ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ( ( X0 = X1 )
& ( cP @ X0 ) )
=> ( cP @ X1 ) )
=> ( ( ! [X4: a] :
? [X2: a > $o] :
( ( X2 @ X4 )
& ( cP @ X2 ) )
& ! [X2: a > $o] :
( ( cP @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X6: a > $o,X5: a,X4: a,X2: a > $o] :
( ( ( cP @ X6 )
& ( X6 @ X4 )
& ( X2 @ X4 )
& ( cP @ X2 )
& ( X2 @ X5 ) )
=> ( X6 @ X5 ) ) )
=> ? [X7: a > a > $o] :
( cP
= ( ^ [X8: a > $o] :
( ? [X3: a] : ( X8 @ X3 )
& ! [X4: a] :
( ( X8 @ X4 )
=> ! [X5: a] :
( ( X8 @ X5 )
<=> ( X7 @ X4 @ X5 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ( ( X0 = X1 )
& ( cP @ X0 ) )
=> ( cP @ X1 ) )
=> ( ( ! [X4: a] :
? [X2: a > $o] :
( ( X2 @ X4 )
& ( cP @ X2 ) )
& ! [X2: a > $o] :
( ( cP @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X6: a > $o,X5: a,X4: a,X2: a > $o] :
( ( ( cP @ X6 )
& ( X6 @ X4 )
& ( X2 @ X4 )
& ( cP @ X2 )
& ( X2 @ X5 ) )
=> ( X6 @ X5 ) ) )
=> ? [X7: a > a > $o] :
( cP
= ( ^ [X8: a > $o] :
( ? [X3: a] : ( X8 @ X3 )
& ! [X4: a] :
( ( X8 @ X4 )
=> ! [X5: a] :
( ( X8 @ X5 )
<=> ( X7 @ X4 @ X5 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lUSGsunddo/DTF2THF_14786.p',cTHM262_D_EXT2_pme) ).
thf(f82,plain,
! [X2: a,X3: a,X0: a,X1: a > $o] :
( ( $true
= ( sK2 @ X0 @ X2 ) )
| ( $false
= ( X1 @ X2 ) )
| ( ( sK2 @ X0 @ X3 )
= $false )
| ( ( cP @ X1 )
= $false )
| ( $false
= ( X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f76]) ).
thf(f76,plain,
! [X2: a,X3: a,X0: a,X1: a > $o] :
( ( $false
= ( X1 @ X2 ) )
| ( $true
= ( sK2 @ X0 @ X2 ) )
| ( $true = $false )
| ( ( sK2 @ X0 @ X3 )
= $false )
| ( ( cP @ X1 )
= $false )
| ( $false
= ( X1 @ X3 ) ) ),
inference(superposition,[status(thm)],[f42,f27]) ).
thf(f27,plain,
! [X1: a] :
( $true
= ( cP @ ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: a] :
( $true
= ( ( cP @ ( sK2 @ X1 ) )
& ( sK2 @ X1 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a > $o] :
( ( cP @ Y0 )
& ( Y0 @ X1 ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
& ( Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f42,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( $false
= ( cP @ X4 ) )
| ( $false
= ( X1 @ X3 ) )
| ( $false
= ( X4 @ X2 ) )
| ( $true
= ( X4 @ X3 ) )
| ( $false
= ( X1 @ X2 ) )
| ( ( cP @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( $false
= ( X1 @ X2 ) )
| ( $true
= ( X4 @ X3 ) )
| ( ( ( X1 @ X3 )
& ( cP @ X1 ) )
= $false )
| ( $false
= ( X4 @ X2 ) )
| ( $false
= ( cP @ X4 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( $true
= ( X4 @ X3 ) )
| ( $false
= ( X4 @ X2 ) )
| ( $false
= ( cP @ X4 ) )
| ( $false
= ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( $false
= ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( X4 @ X2 ) ) )
| ( $true
= ( X4 @ X3 ) )
| ( $false
= ( cP @ X4 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( $true
= ( X4 @ X3 ) )
| ( $false
= ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( X4 @ X2 )
& ( cP @ X4 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( $true
= ( ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( X4 @ X2 )
& ( cP @ X4 ) )
=> ( X4 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
! [X2: a,X3: a,X1: a > $o,X4: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( Y0 @ X2 )
& ( cP @ Y0 ) )
=> ( Y0 @ X3 ) )
@ X4 )
= $true ),
inference(pi_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: a,X3: a,X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( X1 @ X3 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( Y0 @ X2 )
& ( cP @ Y0 ) )
=> ( Y0 @ X3 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: a,X3: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( X1 @ Y0 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( Y1 @ X2 )
& ( cP @ Y1 ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X2: a,X1: a > $o] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( X1 @ Y0 )
& ( cP @ X1 )
& ( X1 @ X2 )
& ( Y1 @ X2 )
& ( cP @ Y1 ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( X1 @ Y1 )
& ( cP @ X1 )
& ( X1 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) )
=> ( Y2 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X1: a > $o] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( X1 @ Y1 )
& ( cP @ X1 )
& ( X1 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) )
=> ( Y2 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y0 @ Y2 )
& ( cP @ Y0 )
& ( Y0 @ Y1 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f984,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f983]) ).
thf(f983,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[status(thm)],[f972,f142]) ).
thf(f142,plain,
( ( $true
!= ( cP @ ( sK4 @ sK2 ) ) )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f141]) ).
thf(f141,definition,
( spl0_1
<=> ( $true
= ( cP @ ( sK4 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f972,plain,
( ( $true
= ( cP @ ( sK4 @ sK2 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f965]) ).
thf(f965,plain,
( ( $true
= ( cP @ ( sK4 @ sK2 ) ) )
| ( $true = $false )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f68,f163]) ).
thf(f163,plain,
( ! [X0: a] :
( ( sK4 @ sK2 @ X0 )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f162]) ).
thf(f68,plain,
! [X1: a > a > $o] :
( ( $true
= ( sK4 @ X1 @ ( sK3 @ ( sK4 @ X1 ) ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
! [X1: a > a > $o] :
( ( $true
= ( ?? @ a @ ( sK4 @ X1 ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X1: a > a > $o] :
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ ( sK4 @ X1 ) ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f980,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f974,f162,f169]) ).
thf(f974,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f967]) ).
thf(f967,plain,
( ( $true = $false )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f46,f163]) ).
thf(f46,plain,
! [X1: a > $o] :
( ( $true
= ( X1 @ ( sK3 @ X1 ) ) )
| ( ( cP @ X1 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
! [X1: a > $o] :
( ( ( cP @ X1 )
= $false )
| ( $true
= ( ?? @ a @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
! [X1: a > $o] :
( $true
= ( ( cP @ X1 )
=> ( ?? @ a @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f43]) ).
thf(f43,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f953,plain,
( spl0_6
| spl0_15
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f563,f162,f165,f572,f169]) ).
thf(f165,definition,
( spl0_5
<=> ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f563,plain,
! [X2: a > $o,X0: a,X1: a > $o] :
( ( ( X1 @ ( sK5 @ sK2 ) )
= $false )
| ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ( ( sK4 @ sK2 @ X0 )
= $false )
| ( X1 != X2 )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( $true
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( ( cP @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f548]) ).
thf(f548,plain,
! [X2: a > $o,X0: a,X1: a > $o] :
( ( X1 != X2 )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( X1 @ ( sK5 @ sK2 ) )
= $false )
| ( ( cP @ X2 )
= $false )
| ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ( ( sK4 @ sK2 @ X0 )
= $false )
| ( $true
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f153,f279]) ).
thf(f279,plain,
! [X2: a,X3: a > $o,X0: a,X1: a > $o] :
( ( $false
= ( sK2 @ X0 @ X2 ) )
| ( $true
= ( X1 @ X2 ) )
| ( ( X1 @ X0 )
= $false )
| ( ( cP @ X3 )
= $false )
| ( X1 != X3 ) ),
inference(trivial_inequality_removal,[status(thm)],[f265]) ).
thf(f265,plain,
! [X2: a,X3: a > $o,X0: a,X1: a > $o] :
( ( X1 != X3 )
| ( $false
= ( sK2 @ X0 @ X2 ) )
| ( $true
= ( X1 @ X2 ) )
| ( ( cP @ X3 )
= $false )
| ( $true = $false )
| ( ( X1 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f26,f99]) ).
thf(f99,plain,
! [X2: a > $o,X3: a,X0: a,X1: a,X4: a > $o] :
( ( $false
= ( sK2 @ X0 @ X1 ) )
| ( $true
= ( X4 @ X3 ) )
| ( ( cP @ X2 )
= $false )
| ( ( sK2 @ X0 @ X3 )
= $false )
| ( $false
= ( X4 @ X1 ) )
| ( X2 != X4 ) ),
inference(trivial_inequality_removal,[status(thm)],[f93]) ).
thf(f93,plain,
! [X2: a > $o,X3: a,X0: a,X1: a,X4: a > $o] :
( ( $true = $false )
| ( $true
= ( X4 @ X3 ) )
| ( $false
= ( X4 @ X1 ) )
| ( X2 != X4 )
| ( ( cP @ X2 )
= $false )
| ( $false
= ( sK2 @ X0 @ X1 ) )
| ( ( sK2 @ X0 @ X3 )
= $false ) ),
inference(superposition,[status(thm)],[f83,f27]) ).
thf(f83,plain,
! [X2: a > $o,X3: a,X0: a > $o,X1: a > $o,X4: a] :
( ( ( cP @ X2 )
= $false )
| ( ( X2 @ X4 )
= $false )
| ( ( cP @ X1 )
= $false )
| ( ( X2 @ X3 )
= $false )
| ( ( X0 @ X4 )
= $false )
| ( $true
= ( X0 @ X3 ) )
| ( X0 != X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f78]) ).
thf(f78,plain,
! [X2: a > $o,X3: a,X0: a > $o,X1: a > $o,X4: a] :
( ( ( X2 @ X4 )
= $false )
| ( ( cP @ X1 )
= $false )
| ( X0 != X1 )
| ( $true
= ( X0 @ X3 ) )
| ( ( cP @ X2 )
= $false )
| ( ( X2 @ X3 )
= $false )
| ( $true = $false )
| ( ( X0 @ X4 )
= $false ) ),
inference(superposition,[status(thm)],[f17,f42]) ).
thf(f17,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( cP @ X2 )
= $true )
| ( ( cP @ X1 )
= $false )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( cP @ X1 )
= $false )
| ( ( X2 = X1 )
= $false )
| ( ( cP @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( ( cP @ X1 )
& ( X2 = X1 ) )
= $false )
| ( ( cP @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ( ( cP @ X1 )
& ( X2 = X1 ) )
=> ( cP @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( cP @ X1 )
& ( Y0 = X1 ) )
=> ( cP @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cP @ X1 )
& ( Y0 = X1 ) )
=> ( cP @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y1 = Y0 ) )
=> ( cP @ Y1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f26,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f153,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( X1 @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( $true
= ( sK4 @ X1 @ ( sK6 @ X1 ) ) )
| ( ( sK4 @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f65]) ).
thf(f952,plain,
( spl0_5
| spl0_4
| spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[status(thm)],[f766,f706,f169,f162,f165]) ).
thf(f706,definition,
( spl0_19
<=> ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition]) ).
thf(f766,plain,
( ! [X0: a] :
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ( ( sK4 @ sK2 @ X0 )
= $false ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[status(thm)],[f765]) ).
thf(f765,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( sK4 @ sK2 @ X0 )
= $false )
| ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false ) )
| ~ spl0_19 ),
inference(superposition,[status(thm)],[f153,f708]) ).
thf(f708,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[status(thm)],[f706]) ).
thf(f931,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f337,f162,f141]) ).
thf(f337,plain,
! [X0: a] :
( ( $true
= ( cP @ ( sK4 @ sK2 ) ) )
| ( ( sK4 @ sK2 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f335]) ).
thf(f335,plain,
! [X0: a] :
( ( $true
= ( cP @ ( sK4 @ sK2 ) ) )
| ( ( sK4 @ sK2 @ X0 )
= $false )
| ( $true
= ( cP @ ( sK4 @ sK2 ) ) ) ),
inference(superposition,[status(thm)],[f27,f122]) ).
thf(f122,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK4 @ X1 )
= ( X1 @ X2 ) )
| ( ( sK4 @ X1 @ X2 )
= $false )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f74]) ).
thf(f74,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( ( sK4 @ X1 @ X3 )
= ( X1 @ X2 @ X3 ) )
| ( ( sK4 @ X1 @ X2 )
= $false )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f73]) ).
thf(f73,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( $true
= ( ( sK4 @ X1 @ X3 )
= ( X1 @ X2 @ X3 ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) )
| ( ( sK4 @ X1 @ X2 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f72]) ).
thf(f72,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( ( sK4 @ X1 @ X2 )
= $false )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) )
| ( $true
= ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f71]) ).
thf(f71,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK4 @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( ( sK4 @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) ) ) ) )
| ( $true
= ( cP @ ( sK4 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f69]) ).
thf(f69,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( cP @ ( sK4 @ X1 ) ) )
| ( $true
= ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
! [X1: a > a > $o] :
( ( $true
= ( cP @ ( sK4 @ X1 ) ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f839,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[status(thm)],[f838]) ).
thf(f838,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f837]) ).
thf(f837,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f143,f171]) ).
thf(f171,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f143,plain,
( ( $true
= ( cP @ ( sK4 @ sK2 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f141]) ).
thf(f836,plain,
( spl0_6
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[status(thm)],[f832,f215,f162,f169]) ).
thf(f832,plain,
( ! [X0: a] :
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( sK4 @ sK2 @ X0 )
= $false ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f828]) ).
thf(f828,plain,
( ! [X0: a] :
( ( ( sK4 @ sK2 @ X0 )
= $false )
| ( $true = $false )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false ) )
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f61,f217]) ).
thf(f217,plain,
( ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f215]) ).
thf(f61,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( sK4 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false )
| ( ( sK4 @ X1 @ X2 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
! [X1: a > a > $o] :
( ( $false
= ( ?? @ a @ ( sK4 @ X1 ) ) )
| ( $true
= ( sK4 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( cP @ ( sK4 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f824,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f823,f212,f165,f141,f215]) ).
thf(f212,definition,
( spl0_9
<=> ! [X0: a > $o] :
( ( ( X0 @ ( sK6 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false )
| ( ( X0 @ ( sK5 @ sK2 ) )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f823,plain,
( ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f822]) ).
thf(f822,plain,
( ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f791,f143]) ).
thf(f791,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f789]) ).
thf(f789,plain,
( ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( $true = $false )
| ( ( sK4 @ sK2 @ ( sK5 @ sK2 ) )
= $false )
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f166,f213]) ).
thf(f213,plain,
( ! [X0: a > $o] :
( ( ( X0 @ ( sK6 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false )
| ( ( X0 @ ( sK5 @ sK2 ) )
= $false ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f212]) ).
thf(f166,plain,
( ( $true
= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f165]) ).
thf(f714,plain,
( spl0_19
| ~ spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f713,f159,f706]) ).
thf(f713,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f712]) ).
thf(f712,plain,
( ( $true = $false )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f686,f27]) ).
thf(f686,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ( ( cP @ ( sK2 @ ( sK5 @ sK2 ) ) )
= $false )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f685]) ).
thf(f685,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ( $false != $false )
| ( ( cP @ ( sK2 @ ( sK5 @ sK2 ) ) )
= $false )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[status(thm)],[f679]) ).
thf(f679,plain,
( ( ( cP @ ( sK2 @ ( sK5 @ sK2 ) ) )
= $false )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ( $false != $false )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) @ ( sK6 @ sK2 ) ) )
| ~ spl0_3 ),
inference(equality_factoring,[status(thm)],[f160]) ).
thf(f160,plain,
( ! [X2: a,X1: a > $o] :
( ( ( sK2 @ ( sK5 @ sK2 ) @ X2 )
= $false )
| ( $false
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( $false
= ( X1 @ X2 ) )
| ( ( cP @ X1 )
= $false ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f159]) ).
thf(f230,plain,
( spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f200,f159,f212]) ).
thf(f200,plain,
( ! [X0: a > $o] :
( ( ( X0 @ ( sK5 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false )
| ( ( X0 @ ( sK6 @ sK2 ) )
= $false ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f186]) ).
thf(f186,plain,
( ! [X0: a > $o] :
( ( ( X0 @ ( sK5 @ sK2 ) )
= $false )
| ( ( X0 @ ( sK6 @ sK2 ) )
= $false )
| ( ( cP @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f160,f26]) ).
thf(f172,plain,
( spl0_3
| spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f155,f169,f165,f162,f159]) ).
thf(f155,plain,
! [X2: a,X0: a,X1: a > $o] :
( ( ( cP @ X1 )
= $false )
| ( $false
= ( X1 @ X2 ) )
| ( $true
!= ( sK4 @ sK2 @ ( sK6 @ sK2 ) ) )
| ( $false
= ( X1 @ ( sK6 @ sK2 ) ) )
| ( ( cP @ ( sK4 @ sK2 ) )
= $false )
| ( ( sK2 @ ( sK5 @ sK2 ) @ X2 )
= $false )
| ( ( sK4 @ sK2 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f65,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV021^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 12:39:07 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SEV021^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Set Theory (Relations)
% 0.18/0.45 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro09]
% 0.18/0.45 % Names : tps_1068 [Bro09]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.69 v8.1.0, 0.82 v7.5.0, 1.00 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.18/0.45 % Number of atoms : 9 ( 2 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 8 ( 9 avg)
% 0.18/0.45 % Number of connectives : 33 ( 0 ~; 0 |; 9 &; 17 @)
% 0.18/0.45 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 15 ( 15 avg)
% 0.18/0.45 % Number of types : 2 ( 1 usr)
% 0.18/0.45 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.18/0.45 % Number of variables : 15 ( 1 ^; 10 !; 4 ?; 15 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.45 % : The conjecture is of the form A => B, where A is not needed to
% 0.18/0.45 % prove B. A is an easily provable property of equality.
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(a_type,type,
% 0.18/0.45 a: $tType ).
% 0.18/0.45
% 0.18/0.45 thf(cP,type,
% 0.18/0.45 cP: ( a > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(cTHM262_D_EXT2_pme,conjecture,
% 0.18/0.45 ( ! [Xq1: a > $o,Xq2: a > $o] :
% 0.18/0.45 ( ( ( Xq1 = Xq2 )
% 0.18/0.45 & ( cP @ Xq1 ) )
% 0.18/0.45 => ( cP @ Xq2 ) )
% 0.18/0.45 => ( ( ! [Xp: a > $o] :
% 0.18/0.45 ( ( cP @ Xp )
% 0.18/0.45 => ? [Xz: a] : ( Xp @ Xz ) )
% 0.18/0.45 & ! [Xx: a] :
% 0.18/0.45 ? [Xp: a > $o] :
% 0.18/0.45 ( ( cP @ Xp )
% 0.18/0.45 & ( Xp @ Xx ) )
% 0.18/0.45 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 0.18/0.45 ( ( ( cP @ Xp )
% 0.18/0.45 & ( cP @ Xq )
% 0.18/0.45 & ( Xp @ Xx )
% 0.18/0.45 & ( Xq @ Xx )
% 0.18/0.45 & ( Xp @ Xy ) )
% 0.18/0.45 => ( Xq @ Xy ) ) )
% 0.18/0.45 => ? [Q: a > a > $o] :
% 0.18/0.45 ( ( ^ [Xs: a > $o] :
% 0.18/0.45 ( ? [Xz: a] : ( Xs @ Xz )
% 0.18/0.45 & ! [Xx: a] :
% 0.18/0.45 ( ( Xs @ Xx )
% 0.18/0.45 => ! [Xy: a] :
% 0.18/0.45 ( ( Xs @ Xy )
% 0.18/0.45 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 0.18/0.45 = cP ) ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.65/1.30 ---- Embedded in THF ---
% 1.65/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.65/1.30 %%% Generated on Tue Feb 24 12:39:08 EST 2026
% 1.65/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 1.65/1.30 %%% Logic specification used:
% 1.65/1.30 %%% thf(spec, logic, $$dhol).
% 1.65/1.30
% 1.65/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.lUSGsunddo/DTF2DTF14786.p
% See solution above
% 1.65/1.31 ------------------------
% 1.65/1.31 ---- Cleaned THF ---
% 1.65/1.32 thf(a_type,type,
% 1.65/1.32 a: $tType ).
% 1.65/1.32
% 1.65/1.32 thf(cP,type,
% 1.65/1.32 cP: ( a > $o ) > $o ).
% 1.65/1.32
% 1.65/1.32 thf(cTHM262_D_EXT2_pme,conjecture,
% 1.65/1.32 ( ! [Xq1: a > $o,Xq2: a > $o] :
% 1.65/1.32 ( ( ( Xq1 = Xq2 )
% 1.65/1.32 & ( cP @ Xq1 ) )
% 1.65/1.32 => ( cP @ Xq2 ) )
% 1.65/1.32 => ( ( ! [Xp: a > $o] :
% 1.65/1.32 ( ( cP @ Xp )
% 1.65/1.32 => ? [Xz: a] : ( Xp @ Xz ) )
% 1.65/1.32 & ! [Xx: a] :
% 1.65/1.32 ? [Xp: a > $o] :
% 1.65/1.32 ( ( cP @ Xp )
% 1.65/1.32 & ( Xp @ Xx ) )
% 1.65/1.32 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 1.65/1.32 ( ( ( cP @ Xp )
% 1.65/1.32 & ( cP @ Xq )
% 1.65/1.32 & ( Xp @ Xx )
% 1.65/1.32 & ( Xq @ Xx )
% 1.65/1.32 & ( Xp @ Xy ) )
% 1.65/1.32 => ( Xq @ Xy ) ) )
% 1.65/1.32 => ? [Q: a > a > $o] :
% 1.65/1.32 ( ( ^ [Xs: a > $o] :
% 1.65/1.32 ( ? [Xz: a] : ( Xs @ Xz )
% 1.65/1.32 & ! [Xx: a] :
% 1.65/1.32 ( ( Xs @ Xx )
% 1.65/1.32 => ! [Xy: a] :
% 1.65/1.32 ( ( Xs @ Xy )
% 1.65/1.32 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 1.65/1.32 = cP ) ) ) ).
% 1.65/1.32 ------------------------
% 1.65/1.34 % (14972)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/18Mi)
% 1.65/1.34 % (14969)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/2Mi)
% 1.65/1.34 % (14971)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_14786 for (2999ds/275Mi)
% 1.65/1.34 % (14970)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_14786 for (2999ds/2Mi)
% 1.65/1.34 % (14966)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/183Mi)
% 1.65/1.34 % (14969)Instruction limit reached!
% 1.65/1.34 % (14969)------------------------------
% 1.65/1.34 % (14969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (14969)Termination reason: Unknown
% 1.65/1.34 % (14969)Termination phase: Property scanning
% 1.65/1.34
% 1.65/1.34 % (14970)Instruction limit reached!
% 1.65/1.34 % (14970)------------------------------
% 1.65/1.34 % (14970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (14970)Termination reason: Unknown
% 1.65/1.34 % (14970)Termination phase: Property scanning
% 1.65/1.34
% 1.65/1.34 % (14970)Memory used [KB]: 1023
% 1.65/1.34 % (14970)Time elapsed: 0.003 s
% 1.65/1.34 % (14970)Instructions burned: 2 (million)
% 1.65/1.34 % (14970)------------------------------
% 1.65/1.34 % (14970)------------------------------
% 1.65/1.34 % (14969)Memory used [KB]: 1023
% 1.65/1.34 % (14969)Time elapsed: 0.003 s
% 1.65/1.34 % (14969)Instructions burned: 2 (million)
% 1.65/1.34 % (14969)------------------------------
% 1.65/1.34 % (14969)------------------------------
% 1.65/1.34 % (14967)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_14786 for (2999ds/4Mi)
% 1.65/1.34 % (14967)Instruction limit reached!
% 1.65/1.34 % (14967)------------------------------
% 1.65/1.34 % (14967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (14967)Termination reason: Unknown
% 1.65/1.34 % (14967)Termination phase: Saturation
% 1.65/1.34
% 1.65/1.34 % (14967)Memory used [KB]: 5500
% 1.65/1.34 % (14967)Time elapsed: 0.005 s
% 1.65/1.34 % (14967)Instructions burned: 5 (million)
% 1.65/1.34 % (14967)------------------------------
% 1.65/1.34 % (14967)------------------------------
% 1.65/1.35 % (14972)Instruction limit reached!
% 1.65/1.35 % (14972)------------------------------
% 1.65/1.35 % (14972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (14972)Termination reason: Unknown
% 1.65/1.35 % (14972)Termination phase: Saturation
% 1.65/1.35
% 1.65/1.35 % (14972)Memory used [KB]: 5628
% 1.65/1.35 % (14972)Time elapsed: 0.012 s
% 1.65/1.35 % (14972)Instructions burned: 19 (million)
% 1.65/1.35 % (14972)------------------------------
% 1.65/1.35 % (14972)------------------------------
% 1.65/1.35 % (14968)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_14786 for (2999ds/27Mi)
% 1.65/1.36 % (14973)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/3Mi)
% 1.65/1.36 % (14974)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_14786 for (2999ds/37Mi)
% 1.65/1.36 % (14975)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_14786 for (2999ds/15Mi)
% 1.65/1.36 % (14973)Instruction limit reached!
% 1.65/1.36 % (14973)------------------------------
% 1.65/1.36 % (14973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (14973)Termination reason: Unknown
% 1.65/1.36 % (14973)Termination phase: Saturation
% 1.65/1.36
% 1.65/1.36 % (14973)Memory used [KB]: 5500
% 1.65/1.36 % (14973)Time elapsed: 0.004 s
% 1.65/1.36 % (14973)Instructions burned: 4 (million)
% 1.65/1.36 % (14973)------------------------------
% 1.65/1.36 % (14973)------------------------------
% 1.65/1.36 % (14976)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_14786 for (2999ds/3Mi)
% 1.65/1.36 % (14976)Instruction limit reached!
% 1.65/1.36 % (14976)------------------------------
% 1.65/1.36 % (14976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (14976)Termination reason: Unknown
% 1.65/1.36 % (14976)Termination phase: Saturation
% 1.65/1.36
% 1.65/1.36 % (14976)Memory used [KB]: 5500
% 1.65/1.36 % (14976)Time elapsed: 0.003 s
% 1.65/1.36 % (14976)Instructions burned: 3 (million)
% 1.65/1.36 % (14976)------------------------------
% 1.65/1.36 % (14976)------------------------------
% 1.65/1.37 % (14975)Instruction limit reached!
% 1.65/1.37 % (14975)------------------------------
% 1.65/1.37 % (14975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37 % (14975)Termination reason: Unknown
% 1.65/1.37 % (14975)Termination phase: Saturation
% 1.65/1.37 % (14968)Instruction limit reached!
% 1.65/1.37 % (14968)------------------------------
% 1.65/1.37 % (14968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37
% 1.65/1.37 % (14975)Memory used [KB]: 5628
% 1.65/1.37 % (14975)Time elapsed: 0.010 s
% 1.65/1.37 % (14975)Instructions burned: 16 (million)
% 1.65/1.37 % (14975)------------------------------
% 1.65/1.37 % (14975)------------------------------
% 1.65/1.37 % (14968)Termination reason: Unknown
% 1.65/1.37 % (14968)Termination phase: Saturation
% 1.65/1.37
% 1.65/1.37 % (14968)Memory used [KB]: 5628
% 1.65/1.37 % (14968)Time elapsed: 0.019 s
% 1.65/1.37 % (14968)Instructions burned: 27 (million)
% 1.65/1.37 % (14968)------------------------------
% 1.65/1.37 % (14968)------------------------------
% 1.65/1.38 % (14974)Instruction limit reached!
% 1.65/1.38 % (14974)------------------------------
% 1.65/1.38 % (14974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (14974)Termination reason: Unknown
% 1.65/1.38 % (14974)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (14974)Memory used [KB]: 5884
% 1.65/1.38 % (14974)Time elapsed: 0.021 s
% 1.65/1.38 % (14974)Instructions burned: 37 (million)
% 1.65/1.38 % (14974)------------------------------
% 1.65/1.38 % (14974)------------------------------
% 1.65/1.38 % (14977)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_14786 for (2999ds/1041Mi)
% 1.65/1.38 % (14980)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/16Mi)
% 1.65/1.38 % (14981)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_14786 for (2999ds/3Mi)
% 1.65/1.38 % (14979)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/7Mi)
% 1.65/1.38 % (14980)Instruction limit reached!
% 1.65/1.38 % (14980)------------------------------
% 1.65/1.38 % (14980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (14980)Termination reason: Unknown
% 1.65/1.38 % (14980)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (14980)Memory used [KB]: 5628
% 1.65/1.38 % (14980)Time elapsed: 0.008 s
% 1.65/1.38 % (14980)Instructions burned: 16 (million)
% 1.65/1.38 % (14980)------------------------------
% 1.65/1.38 % (14980)------------------------------
% 1.65/1.38 % (14981)Instruction limit reached!
% 1.65/1.38 % (14981)------------------------------
% 1.65/1.38 % (14981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (14981)Termination reason: Unknown
% 1.65/1.38 % (14981)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (14981)Memory used [KB]: 5500
% 1.65/1.38 % (14981)Time elapsed: 0.003 s
% 1.65/1.38 % (14981)Instructions burned: 3 (million)
% 1.65/1.38 % (14981)------------------------------
% 1.65/1.38 % (14981)------------------------------
% 1.65/1.39 % (14979)Instruction limit reached!
% 1.65/1.39 % (14979)------------------------------
% 1.65/1.39 % (14979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39 % (14979)Termination reason: Unknown
% 1.65/1.39 % (14979)Termination phase: Saturation
% 1.65/1.39
% 1.65/1.39 % (14979)Memory used [KB]: 1023
% 1.65/1.39 % (14979)Time elapsed: 0.030 s
% 1.65/1.39 % (14979)Instructions burned: 7 (million)
% 1.65/1.39 % (14979)------------------------------
% 1.65/1.39 % (14979)------------------------------
% 1.65/1.39 % (14983)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/7Mi)
% 1.65/1.39 % (14982)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_14786 for (2999ds/3Mi)
% 1.65/1.39 % (14982)Instruction limit reached!
% 1.65/1.39 % (14982)------------------------------
% 1.65/1.39 % (14982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39 % (14982)Termination reason: Unknown
% 1.65/1.39 % (14982)Termination phase: Property scanning
% 1.65/1.39
% 1.65/1.39 % (14982)Memory used [KB]: 1023
% 1.65/1.39 % (14982)Time elapsed: 0.003 s
% 1.65/1.39 % (14982)Instructions burned: 3 (million)
% 1.65/1.39 % (14982)------------------------------
% 1.65/1.39 % (14982)------------------------------
% 1.65/1.39 % (14983)Refutation not found, incomplete strategy
% 1.65/1.39 % (14983)------------------------------
% 1.65/1.39 % (14983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39 % (14983)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.39
% 1.65/1.39
% 1.65/1.39 % (14983)Memory used [KB]: 5500
% 1.65/1.39 % (14983)Time elapsed: 0.004 s
% 1.65/1.39 % (14983)Instructions burned: 6 (million)
% 1.65/1.39 % (14983)------------------------------
% 1.65/1.39 % (14983)------------------------------
% 1.69/1.40 % (14984)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/3Mi)
% 1.69/1.40 % (14984)Instruction limit reached!
% 1.69/1.40 % (14984)------------------------------
% 1.69/1.40 % (14984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (14984)Termination reason: Unknown
% 1.69/1.40 % (14984)Termination phase: Saturation
% 1.69/1.40
% 1.69/1.40 % (14984)Memory used [KB]: 5500
% 1.69/1.40 % (14984)Time elapsed: 0.003 s
% 1.69/1.40 % (14984)Instructions burned: 4 (million)
% 1.69/1.40 % (14984)------------------------------
% 1.69/1.40 % (14984)------------------------------
% 1.69/1.40 % (14985)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/4Mi)
% 1.69/1.41 % (14985)Instruction limit reached!
% 1.69/1.41 % (14985)------------------------------
% 1.69/1.41 % (14985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.41 % (14985)Termination reason: Unknown
% 1.69/1.41 % (14985)Termination phase: Saturation
% 1.69/1.41
% 1.69/1.41 % (14985)Memory used [KB]: 5500
% 1.69/1.41 % (14985)Time elapsed: 0.005 s
% 1.69/1.41 % (14985)Instructions burned: 5 (million)
% 1.69/1.41 % (14985)------------------------------
% 1.69/1.41 % (14985)------------------------------
% 1.69/1.41 % (14986)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/18Mi)
% 1.69/1.41 % (14987)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/710Mi)
% 1.69/1.42 % (14989)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_14786 for (2999ds/6Mi)
% 1.69/1.42 % (14986)Instruction limit reached!
% 1.69/1.42 % (14986)------------------------------
% 1.69/1.42 % (14986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.42 % (14986)Termination reason: Unknown
% 1.69/1.42 % (14986)Termination phase: Saturation
% 1.69/1.42
% 1.69/1.42 % (14986)Memory used [KB]: 5500
% 1.69/1.42 % (14986)Time elapsed: 0.011 s
% 1.69/1.42 % (14986)Instructions burned: 18 (million)
% 1.69/1.42 % (14986)------------------------------
% 1.69/1.42 % (14986)------------------------------
% 1.69/1.42 % (14989)Instruction limit reached!
% 1.69/1.42 % (14989)------------------------------
% 1.69/1.42 % (14989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.42 % (14989)Termination reason: Unknown
% 1.69/1.42 % (14989)Termination phase: Saturation
% 1.69/1.42
% 1.69/1.42 % (14989)Memory used [KB]: 5500
% 1.69/1.42 % (14989)Time elapsed: 0.005 s
% 1.69/1.42 % (14989)Instructions burned: 7 (million)
% 1.69/1.42 % (14989)------------------------------
% 1.69/1.42 % (14989)------------------------------
% 1.69/1.43 % (14990)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_14786 for (2999ds/902Mi)
% 1.69/1.44 % (14991)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_14786 for (2999ds/21Mi)
% 1.69/1.44 % (14993)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_14786 for (2998ds/5Mi)
% 1.69/1.44 % (14993)Instruction limit reached!
% 1.69/1.44 % (14993)------------------------------
% 1.69/1.44 % (14993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.44 % (14993)Termination reason: Unknown
% 1.69/1.44 % (14993)Termination phase: Saturation
% 1.69/1.44
% 1.69/1.44 % (14993)Memory used [KB]: 5500
% 1.69/1.44 % (14993)Time elapsed: 0.005 s
% 1.69/1.44 % (14993)Instructions burned: 6 (million)
% 1.69/1.44 % (14993)------------------------------
% 1.69/1.44 % (14993)------------------------------
% 1.69/1.45 % (14991)Instruction limit reached!
% 1.69/1.45 % (14991)------------------------------
% 1.69/1.45 % (14991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.45 % (14991)Termination reason: Unknown
% 1.69/1.45 % (14991)Termination phase: Saturation
% 1.69/1.45
% 1.69/1.45 % (14991)Memory used [KB]: 5628
% 1.69/1.45 % (14991)Time elapsed: 0.013 s
% 1.69/1.45 % (14991)Instructions burned: 21 (million)
% 1.69/1.45 % (14991)------------------------------
% 1.69/1.45 % (14991)------------------------------
% 1.69/1.45 % (14994)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_14786 for (2998ds/6Mi)
% 1.69/1.45 % (14994)Instruction limit reached!
% 1.69/1.45 % (14994)------------------------------
% 1.69/1.45 % (14994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.45 % (14994)Termination reason: Unknown
% 1.69/1.45 % (14994)Termination phase: Saturation
% 1.69/1.45
% 1.69/1.45 % (14994)Memory used [KB]: 5500
% 1.69/1.45 % (14994)Time elapsed: 0.003 s
% 1.69/1.45 % (14994)Instructions burned: 7 (million)
% 1.69/1.45 % (14994)------------------------------
% 1.69/1.45 % (14994)------------------------------
% 1.69/1.46 % (14966)Instruction limit reached!
% 1.69/1.46 % (14966)------------------------------
% 1.69/1.46 % (14966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.46 % (14966)Termination reason: Unknown
% 1.69/1.46 % (14966)Termination phase: Saturation
% 1.69/1.46
% 1.69/1.46 % (14966)Memory used [KB]: 6652
% 1.69/1.46 % (14966)Time elapsed: 0.127 s
% 1.69/1.46 % (14966)Instructions burned: 184 (million)
% 1.69/1.46 % (14966)------------------------------
% 1.69/1.46 % (14966)------------------------------
% 1.69/1.46 % (14996)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_14786 for (2998ds/779Mi)
% 1.69/1.46 % (14995)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_14786 for (2998ds/377Mi)
% 1.69/1.48 % (14997)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_14786 for (2998ds/19Mi)
% 1.69/1.48 % (14971)Instruction limit reached!
% 1.69/1.48 % (14971)------------------------------
% 1.69/1.48 % (14971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.48 % (14971)Termination reason: Unknown
% 1.69/1.48 % (14971)Termination phase: Saturation
% 1.69/1.48
% 1.69/1.48 % (14971)Memory used [KB]: 6012
% 1.69/1.48 % (14971)Time elapsed: 0.147 s
% 1.69/1.48 % (14971)Instructions burned: 275 (million)
% 1.69/1.48 % (14971)------------------------------
% 1.69/1.48 % (14971)------------------------------
% 1.69/1.49 % (14997)Instruction limit reached!
% 1.69/1.49 % (14997)------------------------------
% 1.69/1.49 % (14997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.49 % (14997)Termination reason: Unknown
% 1.69/1.49 % (14997)Termination phase: Saturation
% 1.69/1.49
% 1.69/1.49 % (14997)Memory used [KB]: 5628
% 1.69/1.49 % (14997)Time elapsed: 0.012 s
% 1.69/1.49 % (14997)Instructions burned: 19 (million)
% 1.69/1.49 % (14997)------------------------------
% 1.69/1.49 % (14997)------------------------------
% 1.69/1.50 % (14999)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_14786 for (2998ds/879Mi)
% 1.69/1.51 % (15000)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_14786 for (2998ds/17Mi)
% 1.69/1.52 % (15000)Instruction limit reached!
% 1.69/1.52 % (15000)------------------------------
% 1.69/1.52 % (15000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.52 % (15000)Termination reason: Unknown
% 1.69/1.52 % (15000)Termination phase: Saturation
% 1.69/1.52
% 1.69/1.52 % (15000)Memory used [KB]: 5628
% 1.69/1.52 % (15000)Time elapsed: 0.012 s
% 1.69/1.52 % (15000)Instructions burned: 17 (million)
% 1.69/1.52 % (15000)------------------------------
% 1.69/1.52 % (15000)------------------------------
% 1.69/1.54 % (15003)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_14786 for (2998ds/3Mi)
% 1.69/1.54 % (15003)Instruction limit reached!
% 1.69/1.54 % (15003)------------------------------
% 1.69/1.54 % (15003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.54 % (15003)Termination reason: Unknown
% 1.69/1.54 % (15003)Termination phase: Saturation
% 1.69/1.54
% 1.69/1.54 % (15003)Memory used [KB]: 1023
% 1.69/1.54 % (15003)Time elapsed: 0.004 s
% 1.69/1.54 % (15003)Instructions burned: 4 (million)
% 1.69/1.54 % (15003)------------------------------
% 1.69/1.54 % (15003)------------------------------
% 1.69/1.55 % (15007)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_14786 for (2997ds/30Mi)
% 1.69/1.57 % (15007)Instruction limit reached!
% 1.69/1.57 % (15007)------------------------------
% 1.69/1.57 % (15007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.57 % (15007)Termination reason: Unknown
% 1.69/1.57 % (15007)Termination phase: Saturation
% 1.69/1.57
% 1.69/1.57 % (15007)Memory used [KB]: 5628
% 1.69/1.57 % (15007)Time elapsed: 0.017 s
% 1.69/1.57 % (15007)Instructions burned: 30 (million)
% 1.69/1.57 % (15007)------------------------------
% 1.69/1.57 % (15007)------------------------------
% 1.69/1.58 % (15008)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_14786 for (2997ds/127Mi)
% 1.69/1.64 % (15008)Instruction limit reached!
% 1.69/1.64 % (15008)------------------------------
% 1.69/1.64 % (15008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.64 % (15008)Termination reason: Unknown
% 1.69/1.64 % (15008)Termination phase: Saturation
% 1.69/1.64
% 1.69/1.64 % (15008)Memory used [KB]: 5884
% 1.69/1.64 % (15008)Time elapsed: 0.054 s
% 1.69/1.64 % (15008)Instructions burned: 127 (million)
% 1.69/1.64 % (15008)------------------------------
% 1.69/1.64 % (15008)------------------------------
% 1.69/1.65 % (15013)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_14786 for (2996ds/100Mi)
% 1.69/1.66 % (14995)Instruction limit reached!
% 1.69/1.66 % (14995)------------------------------
% 1.69/1.66 % (14995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.66 % (14995)Termination reason: Unknown
% 1.69/1.66 % (14995)Termination phase: Saturation
% 1.69/1.66
% 1.69/1.66 % (14995)Memory used [KB]: 6396
% 1.69/1.66 % (14995)Time elapsed: 0.202 s
% 1.69/1.66 % (14995)Instructions burned: 378 (million)
% 1.69/1.66 % (14995)------------------------------
% 1.69/1.66 % (14995)------------------------------
% 1.69/1.68 % (15016)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_14786 for (2996ds/3Mi)
% 1.69/1.68 % (15016)Instruction limit reached!
% 1.69/1.68 % (15016)------------------------------
% 1.69/1.68 % (15016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.68 % (15016)Termination reason: Unknown
% 1.69/1.68 % (15016)Termination phase: Saturation
% 1.69/1.68
% 1.69/1.68 % (15016)Memory used [KB]: 5500
% 1.69/1.68 % (15016)Time elapsed: 0.003 s
% 1.69/1.68 % (15016)Instructions burned: 3 (million)
% 1.69/1.68 % (15016)------------------------------
% 1.69/1.68 % (15016)------------------------------
% 1.69/1.69 % (15013)Instruction limit reached!
% 1.69/1.69 % (15013)------------------------------
% 1.69/1.69 % (15013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.69 % (15013)Termination reason: Unknown
% 1.69/1.69 % (15013)Termination phase: Saturation
% 1.69/1.69
% 1.69/1.69 % (15013)Memory used [KB]: 5628
% 1.69/1.69 % (15013)Time elapsed: 0.045 s
% 1.69/1.69 % (15013)Instructions burned: 101 (million)
% 1.69/1.69 % (15013)------------------------------
% 1.69/1.69 % (15013)------------------------------
% 1.69/1.70 % (15019)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_14786 for (2996ds/20Mi)
% 1.69/1.71 % (15021)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_14786 for (2996ds/86Mi)
% 1.69/1.71 % (15019)Instruction limit reached!
% 1.69/1.71 % (15019)------------------------------
% 1.69/1.71 % (15019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.71 % (15019)Termination reason: Unknown
% 1.69/1.71 % (15019)Termination phase: Saturation
% 1.69/1.71
% 1.69/1.71 % (15019)Memory used [KB]: 5628
% 1.69/1.71 % (15019)Time elapsed: 0.012 s
% 1.69/1.71 % (15019)Instructions burned: 20 (million)
% 1.69/1.71 % (15019)------------------------------
% 1.69/1.71 % (15019)------------------------------
% 1.69/1.72 % (15023)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_14786 for (2996ds/107Mi)
% 1.69/1.74 % (15021)Instruction limit reached!
% 1.69/1.74 % (15021)------------------------------
% 1.69/1.74 % (15021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.74 % (15021)Termination reason: Unknown
% 1.69/1.74 % (15021)Termination phase: Saturation
% 1.69/1.74
% 1.69/1.74 % (15021)Memory used [KB]: 6140
% 1.69/1.74 % (15021)Time elapsed: 0.033 s
% 1.69/1.74 % (15021)Instructions burned: 89 (million)
% 1.69/1.74 % (15021)------------------------------
% 1.69/1.74 % (15021)------------------------------
% 1.69/1.75 % (15026)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_14786 for (2995ds/39Mi)
% 1.69/1.76 % (15026)Instruction limit reached!
% 1.69/1.76 % (15026)------------------------------
% 1.69/1.76 % (15026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.76 % (15026)Termination reason: Unknown
% 1.69/1.76 % (15026)Termination phase: Saturation
% 1.69/1.76
% 1.69/1.76 % (15026)Memory used [KB]: 5884
% 1.69/1.76 % (15026)Time elapsed: 0.014 s
% 1.69/1.76 % (15026)Instructions burned: 42 (million)
% 1.69/1.76 % (15026)------------------------------
% 1.69/1.76 % (15026)------------------------------
% 1.69/1.77 % (14987)Instruction limit reached!
% 1.69/1.77 % (14987)------------------------------
% 1.69/1.77 % (14987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.77 % (14987)Termination reason: Unknown
% 1.69/1.77 % (14987)Termination phase: Saturation
% 1.69/1.77
% 1.69/1.77 % (14987)Memory used [KB]: 6908
% 1.69/1.77 % (14987)Time elapsed: 0.356 s
% 1.69/1.77 % (14987)Instructions burned: 710 (million)
% 1.69/1.77 % (14987)------------------------------
% 1.69/1.77 % (14987)------------------------------
% 1.69/1.77 % (15028)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_14786 for (2995ds/448Mi)
% 1.69/1.77 % (15023)Instruction limit reached!
% 1.69/1.77 % (15023)------------------------------
% 1.69/1.77 % (15023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.77 % (15023)Termination reason: Unknown
% 1.69/1.77 % (15023)Termination phase: Saturation
% 1.69/1.77
% 1.69/1.77 % (15023)Memory used [KB]: 5756
% 1.69/1.77 % (15023)Time elapsed: 0.054 s
% 1.69/1.77 % (15023)Instructions burned: 107 (million)
% 1.69/1.77 % (15023)------------------------------
% 1.69/1.77 % (15023)------------------------------
% 1.69/1.78 % (15029)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_14786 for (2995ds/46Mi)
% 1.69/1.79 % (15032)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_14786 for (2995ds/98Mi)
% 1.69/1.81 % (15029)Instruction limit reached!
% 1.69/1.81 % (15029)------------------------------
% 1.69/1.81 % (15029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.81 % (15029)Termination reason: Unknown
% 1.69/1.81 % (15029)Termination phase: Saturation
% 1.69/1.81
% 1.69/1.81 % (15029)Memory used [KB]: 5628
% 1.69/1.81 % (15029)Time elapsed: 0.026 s
% 1.69/1.81 % (15029)Instructions burned: 46 (million)
% 1.69/1.81 % (15029)------------------------------
% 1.69/1.81 % (15029)------------------------------
% 1.69/1.83 % (15034)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_14786 for (2995ds/507Mi)
% 1.69/1.83 % (15032)Instruction limit reached!
% 1.69/1.83 % (15032)------------------------------
% 1.69/1.83 % (15032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.83 % (15032)Termination reason: Unknown
% 1.69/1.83 % (15032)Termination phase: Saturation
% 1.69/1.83
% 1.69/1.83 % (15032)Memory used [KB]: 1151
% 1.69/1.83 % (15032)Time elapsed: 0.046 s
% 1.69/1.83 % (15032)Instructions burned: 98 (million)
% 1.69/1.83 % (15032)------------------------------
% 1.69/1.83 % (15032)------------------------------
% 1.69/1.84 % (14977)Instruction limit reached!
% 1.69/1.84 % (14977)------------------------------
% 1.69/1.84 % (14977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.84 % (14977)Termination reason: Unknown
% 1.69/1.84 % (14977)Termination phase: Saturation
% 1.69/1.84
% 1.69/1.84 % (14977)Memory used [KB]: 7291
% 1.69/1.84 % (14977)Time elapsed: 0.472 s
% 1.69/1.84 % (14977)Instructions burned: 1041 (million)
% 1.69/1.84 % (14977)------------------------------
% 1.69/1.84 % (14977)------------------------------
% 1.69/1.85 % (14996)Instruction limit reached!
% 1.69/1.85 % (14996)------------------------------
% 1.69/1.85 % (14996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.85 % (14996)Termination reason: Unknown
% 1.69/1.85 % (14996)Termination phase: Saturation
% 1.69/1.85
% 1.69/1.85 % (14996)Memory used [KB]: 6396
% 1.69/1.85 % (14996)Time elapsed: 0.374 s
% 1.69/1.85 % (14996)Instructions burned: 780 (million)
% 1.69/1.85 % (14996)------------------------------
% 1.69/1.85 % (14996)------------------------------
% 1.69/1.85 % (14990)Instruction limit reached!
% 1.69/1.85 % (14990)------------------------------
% 1.69/1.85 % (14990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.85 % (14990)Termination reason: Unknown
% 1.69/1.85 % (14990)Termination phase: Saturation
% 1.69/1.85
% 1.69/1.85 % (14990)Memory used [KB]: 6908
% 1.69/1.85 % (14990)Time elapsed: 0.425 s
% 1.69/1.85 % (14990)Instructions burned: 903 (million)
% 1.69/1.85 % (14990)------------------------------
% 1.69/1.85 % (14990)------------------------------
% 1.69/1.85 % (15038)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_14786 for (2995ds/149Mi)
% 1.69/1.86 % (14999)Instruction limit reached!
% 1.69/1.86 % (14999)------------------------------
% 1.69/1.86 % (14999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (14999)Termination reason: Unknown
% 1.69/1.86 % (14999)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (14999)Memory used [KB]: 6908
% 1.69/1.86 % (14999)Time elapsed: 0.361 s
% 1.69/1.86 % (14999)Instructions burned: 879 (million)
% 1.69/1.86 % (14999)------------------------------
% 1.69/1.86 % (14999)------------------------------
% 1.69/1.86 % (15040)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_14786 for (2994ds/6Mi)
% 1.69/1.86 % (15041)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_14786 for (2994ds/1087Mi)
% 1.69/1.86 % (15039)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_14786 for (2994ds/39Mi)
% 1.69/1.86 % (15040)Instruction limit reached!
% 1.69/1.86 % (15040)------------------------------
% 1.69/1.86 % (15040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (15040)Termination reason: Unknown
% 1.69/1.86 % (15040)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (15040)Memory used [KB]: 9978
% 1.69/1.86 % (15040)Time elapsed: 0.005 s
% 1.69/1.86 % (15040)Instructions burned: 6 (million)
% 1.69/1.86 % (15040)------------------------------
% 1.69/1.86 % (15040)------------------------------
% 1.69/1.87 % (15044)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_14786 for (2994ds/47Mi)
% 1.69/1.88 % (15039)Instruction limit reached!
% 1.69/1.88 % (15039)------------------------------
% 1.69/1.88 % (15039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.88 % (15039)Termination reason: Unknown
% 1.69/1.88 % (15039)Termination phase: Saturation
% 1.69/1.88
% 1.69/1.88 % (15039)Memory used [KB]: 5628
% 1.69/1.88 % (15039)Time elapsed: 0.046 s
% 1.69/1.88 % (15039)Instructions burned: 39 (million)
% 1.69/1.88 % (15039)------------------------------
% 1.69/1.88 % (15039)------------------------------
% 1.69/1.89 % (15045)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_14786 for (2994ds/44Mi)
% 1.69/1.89 % (15049)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_14786 for (2994ds/432Mi)
% 1.69/1.89 % (15044)Instruction limit reached!
% 1.69/1.89 % (15044)------------------------------
% 1.69/1.89 % (15044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.89 % (15044)Termination reason: Unknown
% 1.69/1.89 % (15044)Termination phase: Saturation
% 1.69/1.89
% 1.69/1.89 % (15044)Memory used [KB]: 5756
% 1.69/1.89 % (15044)Time elapsed: 0.025 s
% 1.69/1.89 % (15044)Instructions burned: 48 (million)
% 1.69/1.89 % (15044)------------------------------
% 1.69/1.89 % (15044)------------------------------
% 1.69/1.91 % (15045)Instruction limit reached!
% 1.69/1.91 % (15045)------------------------------
% 1.69/1.91 % (15045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.91 % (15045)Termination reason: Unknown
% 1.69/1.91 % (15045)Termination phase: Saturation
% 1.69/1.91
% 1.69/1.91 % (15045)Memory used [KB]: 1279
% 1.69/1.91 % (15045)Time elapsed: 0.044 s
% 1.69/1.91 % (15045)Instructions burned: 44 (million)
% 1.69/1.91 % (15045)------------------------------
% 1.69/1.91 % (15045)------------------------------
% 1.69/1.91 % (15051)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_14786 for (2994ds/62Mi)
% 1.69/1.92 % (15038)Instruction limit reached!
% 1.69/1.92 % (15038)------------------------------
% 1.69/1.92 % (15038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.92 % (15038)Termination reason: Unknown
% 1.69/1.92 % (15038)Termination phase: Saturation
% 1.69/1.92
% 1.69/1.92 % (15038)Memory used [KB]: 6012
% 1.69/1.92 % (15038)Time elapsed: 0.074 s
% 1.69/1.92 % (15038)Instructions burned: 149 (million)
% 1.69/1.92 % (15038)------------------------------
% 1.69/1.92 % (15038)------------------------------
% 1.69/1.93 % (15052)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_14786 for (2994ds/31Mi)
% 1.69/1.94 % (15054)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_14786 for (2994ds/96Mi)
% 1.69/1.94 % (15051)Instruction limit reached!
% 1.69/1.94 % (15051)------------------------------
% 1.69/1.94 % (15051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (15051)Termination reason: Unknown
% 1.69/1.94 % (15051)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (15051)Memory used [KB]: 5756
% 1.69/1.94 % (15051)Time elapsed: 0.055 s
% 1.69/1.94 % (15051)Instructions burned: 63 (million)
% 1.69/1.94 % (15051)------------------------------
% 1.69/1.94 % (15051)------------------------------
% 1.69/1.94 % (15052)Instruction limit reached!
% 1.69/1.94 % (15052)------------------------------
% 1.69/1.94 % (15052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (15052)Termination reason: Unknown
% 1.69/1.94 % (15052)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (15052)Memory used [KB]: 5628
% 1.69/1.94 % (15052)Time elapsed: 0.039 s
% 1.69/1.94 % (15052)Instructions burned: 31 (million)
% 1.69/1.94 % (15052)------------------------------
% 1.69/1.94 % (15052)------------------------------
% 1.69/1.96 % (15056)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_14786 for (2993ds/453Mi)
% 1.69/1.96 % (15058)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_14786 for (2993ds/71Mi)
% 1.69/1.96 % (15028)Instruction limit reached!
% 1.69/1.96 % (15028)------------------------------
% 1.69/1.96 % (15028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.96 % (15028)Termination reason: Unknown
% 1.69/1.96 % (15028)Termination phase: Saturation
% 1.69/1.96
% 1.69/1.96 % (15028)Memory used [KB]: 6396
% 1.69/1.96 % (15028)Time elapsed: 0.197 s
% 1.69/1.96 % (15028)Instructions burned: 449 (million)
% 1.69/1.96 % (15028)------------------------------
% 1.69/1.96 % (15028)------------------------------
% 1.69/1.97 % (15060)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_14786 for (2993ds/83Mi)
% 1.69/1.99 % (15054)Instruction limit reached!
% 1.69/1.99 % (15054)------------------------------
% 1.69/1.99 % (15054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.99 % (15054)Termination reason: Unknown
% 1.69/1.99 % (15054)Termination phase: Saturation
% 1.69/1.99
% 1.69/1.99 % (15054)Memory used [KB]: 5756
% 1.69/1.99 % (15054)Time elapsed: 0.073 s
% 1.69/1.99 % (15054)Instructions burned: 97 (million)
% 1.69/1.99 % (15054)------------------------------
% 1.69/1.99 % (15054)------------------------------
% 1.69/1.99 % (15058)Instruction limit reached!
% 1.69/1.99 % (15058)------------------------------
% 1.69/1.99 % (15058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.99 % (15058)Termination reason: Unknown
% 1.69/1.99 % (15058)Termination phase: Saturation
% 1.69/1.99
% 1.69/1.99 % (15058)Memory used [KB]: 5756
% 1.69/1.99 % (15058)Time elapsed: 0.061 s
% 1.69/1.99 % (15058)Instructions burned: 71 (million)
% 1.69/1.99 % (15058)------------------------------
% 1.69/1.99 % (15058)------------------------------
% 1.69/2.00 % (15061)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_14786 for (2993ds/11Mi)
% 1.69/2.01 % (15061)Instruction limit reached!
% 1.69/2.01 % (15061)------------------------------
% 1.69/2.01 % (15061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/2.01 % (15061)Termination reason: Unknown
% 1.69/2.01 % (15061)Termination phase: Saturation
% 1.69/2.01
% 1.69/2.01 % (15061)Memory used [KB]: 5500
% 1.69/2.01 % (15061)Time elapsed: 0.007 s
% 1.69/2.01 % (15061)Instructions burned: 11 (million)
% 1.69/2.01 % (15061)------------------------------
% 1.69/2.01 % (15061)------------------------------
% 1.69/2.01 % (15062)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_14786 for (2993ds/41Mi)
% 1.69/2.02 % (15060)Instruction limit reached!
% 1.69/2.02 % (15060)------------------------------
% 1.69/2.02 % (15060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/2.02 % (15060)Termination reason: Unknown
% 1.69/2.02 % (15060)Termination phase: Saturation
% 1.69/2.02
% 1.69/2.02 % (15060)Memory used [KB]: 5884
% 1.69/2.02 % (15060)Time elapsed: 0.054 s
% 1.69/2.02 % (15060)Instructions burned: 85 (million)
% 1.69/2.02 % (15060)------------------------------
% 1.69/2.02 % (15060)------------------------------
% 6.44/2.02 % (15064)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_14786 for (2993ds/6Mi)
% 6.44/2.03 % (15065)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_14786 for (2993ds/150Mi)
% 6.44/2.03 % (15064)Instruction limit reached!
% 6.44/2.03 % (15064)------------------------------
% 6.44/2.03 % (15064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.03 % (15064)Termination reason: Unknown
% 6.44/2.03 % (15064)Termination phase: Saturation
% 6.44/2.03
% 6.44/2.03 % (15064)Memory used [KB]: 5500
% 6.44/2.03 % (15064)Time elapsed: 0.005 s
% 6.44/2.03 % (15064)Instructions burned: 6 (million)
% 6.44/2.03 % (15064)------------------------------
% 6.44/2.03 % (15064)------------------------------
% 6.44/2.03 % (15062)Instruction limit reached!
% 6.44/2.03 % (15062)------------------------------
% 6.44/2.03 % (15062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.03 % (15062)Termination reason: Unknown
% 6.44/2.03 % (15062)Termination phase: Saturation
% 6.44/2.03
% 6.44/2.03 % (15062)Memory used [KB]: 5628
% 6.44/2.03 % (15062)Time elapsed: 0.023 s
% 6.44/2.03 % (15062)Instructions burned: 42 (million)
% 6.44/2.03 % (15062)------------------------------
% 6.44/2.03 % (15062)------------------------------
% 6.44/2.04 % (15066)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_14786 for (2992ds/343Mi)
% 6.44/2.05 % (15067)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_14786 for (2992ds/109Mi)
% 6.44/2.06 % (15049)Instruction limit reached!
% 6.44/2.06 % (15049)------------------------------
% 6.44/2.06 % (15049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.06 % (15049)Termination reason: Unknown
% 6.44/2.06 % (15049)Termination phase: Saturation
% 6.44/2.06
% 6.44/2.06 % (15049)Memory used [KB]: 4221
% 6.44/2.06 % (15049)Time elapsed: 0.199 s
% 6.44/2.06 % (15049)Instructions burned: 433 (million)
% 6.44/2.06 % (15049)------------------------------
% 6.44/2.06 % (15049)------------------------------
% 6.44/2.07 % (15034)Instruction limit reached!
% 6.44/2.07 % (15034)------------------------------
% 6.44/2.07 % (15034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.07 % (15034)Termination reason: Unknown
% 6.44/2.07 % (15034)Termination phase: Saturation
% 6.44/2.07
% 6.44/2.07 % (15034)Memory used [KB]: 6396
% 6.44/2.07 % (15034)Time elapsed: 0.249 s
% 6.44/2.07 % (15034)Instructions burned: 507 (million)
% 6.44/2.07 % (15034)------------------------------
% 6.44/2.07 % (15034)------------------------------
% 6.44/2.08 % (15065)Instruction limit reached!
% 6.44/2.08 % (15065)------------------------------
% 6.44/2.08 % (15065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.08 % (15065)Termination reason: Unknown
% 6.44/2.08 % (15065)Termination phase: Saturation
% 6.44/2.08
% 6.44/2.08 % (15065)Memory used [KB]: 6012
% 6.44/2.08 % (15065)Time elapsed: 0.053 s
% 6.44/2.08 % (15065)Instructions burned: 151 (million)
% 6.44/2.08 % (15065)------------------------------
% 6.44/2.08 % (15065)------------------------------
% 6.44/2.08 % (15070)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_14786 for (2992ds/253Mi)
% 6.44/2.09 % (15073)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_14786 for (2992ds/614Mi)
% 6.44/2.09 % (15071)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_14786 for (2992ds/140Mi)
% 6.44/2.10 % (15067)Instruction limit reached!
% 6.44/2.10 % (15067)------------------------------
% 6.44/2.10 % (15067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.10 % (15067)Termination reason: Unknown
% 6.44/2.10 % (15067)Termination phase: Saturation
% 6.44/2.10
% 6.44/2.10 % (15067)Memory used [KB]: 6012
% 6.44/2.10 % (15067)Time elapsed: 0.057 s
% 6.44/2.10 % (15067)Instructions burned: 109 (million)
% 6.44/2.10 % (15067)------------------------------
% 6.44/2.10 % (15067)------------------------------
% 6.93/2.12 % (15075)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_14786 for (2992ds/202Mi)
% 6.93/2.16 % (15071)Instruction limit reached!
% 6.93/2.16 % (15071)------------------------------
% 6.93/2.16 % (15071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.93/2.16 % (15071)Termination reason: Unknown
% 6.93/2.16 % (15071)Termination phase: Saturation
% 6.93/2.16
% 6.93/2.16 % (15071)Memory used [KB]: 5756
% 6.93/2.16 % (15071)Time elapsed: 0.069 s
% 6.93/2.16 % (15071)Instructions burned: 140 (million)
% 6.93/2.16 % (15071)------------------------------
% 6.93/2.16 % (15071)------------------------------
% 6.93/2.17 % (15056)Instruction limit reached!
% 6.93/2.17 % (15056)------------------------------
% 6.93/2.17 % (15056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.93/2.17 % (15056)Termination reason: Unknown
% 6.93/2.17 % (15056)Termination phase: Saturation
% 6.93/2.17
% 6.93/2.17 % (15056)Memory used [KB]: 6012
% 6.93/2.17 % (15056)Time elapsed: 0.240 s
% 6.93/2.17 % (15056)Instructions burned: 455 (million)
% 6.93/2.17 % (15056)------------------------------
% 6.93/2.17 % (15056)------------------------------
% 6.93/2.18 % (15080)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_14786 for (2991ds/339Mi)
% 6.93/2.18 % (15070)Instruction limit reached!
% 6.93/2.18 % (15070)------------------------------
% 6.93/2.18 % (15070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.93/2.18 % (15070)Termination reason: Unknown
% 6.93/2.18 % (15070)Termination phase: Saturation
% 6.93/2.18
% 6.93/2.18 % (15070)Memory used [KB]: 6140
% 6.93/2.18 % (15070)Time elapsed: 0.100 s
% 6.93/2.18 % (15070)Instructions burned: 253 (million)
% 6.93/2.18 % (15070)------------------------------
% 6.93/2.18 % (15070)------------------------------
% 6.93/2.19 % (15083)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_14786 for (2991ds/283Mi)
% 6.93/2.20 % (15066)Instruction limit reached!
% 6.93/2.20 % (15066)------------------------------
% 6.93/2.20 % (15066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.93/2.20 % (15066)Termination reason: Unknown
% 6.93/2.20 % (15066)Termination phase: Saturation
% 6.93/2.20
% 6.93/2.20 % (15066)Memory used [KB]: 6396
% 6.93/2.20 % (15066)Time elapsed: 0.153 s
% 6.93/2.20 % (15066)Instructions burned: 343 (million)
% 6.93/2.20 % (15066)------------------------------
% 6.93/2.20 % (15066)------------------------------
% 7.45/2.20 % (15085)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_14786 for (2991ds/134Mi)
% 7.45/2.21 % (15086)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_14786 for (2991ds/298Mi)
% 7.45/2.22 % (15075)Instruction limit reached!
% 7.45/2.22 % (15075)------------------------------
% 7.45/2.22 % (15075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.45/2.22 % (15075)Termination reason: Unknown
% 7.45/2.22 % (15075)Termination phase: Saturation
% 7.45/2.22
% 7.45/2.22 % (15075)Memory used [KB]: 6140
% 7.45/2.22 % (15075)Time elapsed: 0.100 s
% 7.45/2.22 % (15075)Instructions burned: 202 (million)
% 7.45/2.22 % (15075)------------------------------
% 7.45/2.22 % (15075)------------------------------
% 7.45/2.23 % (15088)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_14786 for (2991ds/192Mi)
% 7.45/2.26 % (15085)Instruction limit reached!
% 7.45/2.26 % (15085)------------------------------
% 7.45/2.26 % (15085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.45/2.26 % (15085)Termination reason: Unknown
% 7.45/2.26 % (15085)Termination phase: Saturation
% 7.45/2.26
% 7.45/2.26 % (15085)Memory used [KB]: 6012
% 7.45/2.26 % (15085)Time elapsed: 0.060 s
% 7.45/2.26 % (15085)Instructions burned: 134 (million)
% 7.45/2.26 % (15085)------------------------------
% 7.45/2.26 % (15085)------------------------------
% 7.45/2.27 % (15090)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_14786 for (2990ds/258Mi)
% 7.73/2.31 % (15083)Instruction limit reached!
% 7.73/2.31 % (15083)------------------------------
% 7.73/2.31 % (15083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.31 % (15083)Termination reason: Unknown
% 7.73/2.31 % (15083)Termination phase: Saturation
% 7.73/2.31
% 7.73/2.31 % (15083)Memory used [KB]: 7547
% 7.73/2.31 % (15083)Time elapsed: 0.123 s
% 7.73/2.31 % (15083)Instructions burned: 284 (million)
% 7.73/2.31 % (15083)------------------------------
% 7.73/2.31 % (15083)------------------------------
% 7.73/2.32 % (15080)Instruction limit reached!
% 7.73/2.32 % (15080)------------------------------
% 7.73/2.32 % (15080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.32 % (15080)Termination reason: Unknown
% 7.73/2.32 % (15080)Termination phase: Saturation
% 7.73/2.32
% 7.73/2.32 % (15080)Memory used [KB]: 6524
% 7.73/2.32 % (15080)Time elapsed: 0.143 s
% 7.73/2.32 % (15080)Instructions burned: 339 (million)
% 7.73/2.32 % (15080)------------------------------
% 7.73/2.32 % (15080)------------------------------
% 7.73/2.32 % (15041)Instruction limit reached!
% 7.73/2.32 % (15041)------------------------------
% 7.73/2.32 % (15041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.32 % (15041)Termination reason: Unknown
% 7.73/2.32 % (15041)Termination phase: Saturation
% 7.73/2.32
% 7.73/2.32 % (15041)Memory used [KB]: 6652
% 7.73/2.32 % (15041)Time elapsed: 0.457 s
% 7.73/2.32 % (15041)Instructions burned: 1087 (million)
% 7.73/2.32 % (15041)------------------------------
% 7.73/2.32 % (15041)------------------------------
% 7.73/2.33 % (15088)Instruction limit reached!
% 7.73/2.33 % (15088)------------------------------
% 7.73/2.33 % (15088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.33 % (15088)Termination reason: Unknown
% 7.73/2.33 % (15088)Termination phase: Saturation
% 7.73/2.33
% 7.73/2.33 % (15088)Memory used [KB]: 6396
% 7.73/2.33 % (15088)Time elapsed: 0.093 s
% 7.73/2.33 % (15088)Instructions burned: 192 (million)
% 7.73/2.33 % (15088)------------------------------
% 7.73/2.33 % (15088)------------------------------
% 7.73/2.33 % (15097)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_14786 for (2990ds/231Mi)
% 7.73/2.33 % (15096)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_14786 for (2990ds/90Mi)
% 7.73/2.34 % (15098)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_14786 for (2990ds/458Mi)
% 7.73/2.34 % (15099)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_14786 for (2990ds/31Mi)
% 7.73/2.36 % (15099)Instruction limit reached!
% 7.73/2.36 % (15099)------------------------------
% 7.73/2.36 % (15099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.36 % (15099)Termination reason: Unknown
% 7.73/2.36 % (15099)Termination phase: Saturation
% 7.73/2.36
% 7.73/2.36 % (15099)Memory used [KB]: 5628
% 7.73/2.36 % (15099)Time elapsed: 0.018 s
% 7.73/2.36 % (15099)Instructions burned: 31 (million)
% 7.73/2.36 % (15099)------------------------------
% 7.73/2.36 % (15099)------------------------------
% 7.73/2.36 % (15086)Instruction limit reached!
% 7.73/2.36 % (15086)------------------------------
% 7.73/2.36 % (15086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.36 % (15086)Termination reason: Unknown
% 7.73/2.36 % (15086)Termination phase: Saturation
% 7.73/2.36
% 7.73/2.36 % (15086)Memory used [KB]: 6140
% 7.73/2.36 % (15086)Time elapsed: 0.147 s
% 7.73/2.36 % (15086)Instructions burned: 299 (million)
% 7.73/2.36 % (15086)------------------------------
% 7.73/2.36 % (15086)------------------------------
% 7.73/2.37 % (15073)Instruction limit reached!
% 7.73/2.37 % (15073)------------------------------
% 7.73/2.37 % (15073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.37 % (15073)Termination reason: Unknown
% 7.73/2.37 % (15073)Termination phase: Saturation
% 7.73/2.37
% 7.73/2.37 % (15073)Memory used [KB]: 6652
% 7.73/2.37 % (15073)Time elapsed: 0.279 s
% 7.73/2.37 % (15073)Instructions burned: 615 (million)
% 7.73/2.37 % (15073)------------------------------
% 7.73/2.37 % (15073)------------------------------
% 7.73/2.37 % (15101)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_14786 for (2989ds/297Mi)
% 7.73/2.37 % (15096)Instruction limit reached!
% 7.73/2.37 % (15096)------------------------------
% 7.73/2.37 % (15096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.37 % (15096)Termination reason: Unknown
% 7.73/2.37 % (15096)Termination phase: Saturation
% 7.73/2.37
% 7.73/2.37 % (15096)Memory used [KB]: 5884
% 7.73/2.37 % (15096)Time elapsed: 0.047 s
% 7.73/2.37 % (15096)Instructions burned: 90 (million)
% 7.73/2.37 % (15096)------------------------------
% 7.73/2.37 % (15096)------------------------------
% 7.73/2.37 % (15102)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_14786 for (2989ds/987Mi)
% 7.73/2.39 % (15105)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_14786 for (2989ds/182Mi)
% 7.73/2.39 % (15090)Instruction limit reached!
% 7.73/2.39 % (15090)------------------------------
% 7.73/2.39 % (15090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.73/2.39 % (15090)Termination reason: Unknown
% 7.73/2.39 % (15090)Termination phase: Saturation
% 7.73/2.39
% 7.73/2.39 % (15090)Memory used [KB]: 6140
% 7.73/2.39 % (15090)Time elapsed: 0.125 s
% 7.73/2.39 % (15090)Instructions burned: 258 (million)
% 7.73/2.39 % (15090)------------------------------
% 7.73/2.39 % (15090)------------------------------
% 7.73/2.39 % (15104)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_14786 for (2989ds/182Mi)
% 8.86/2.41 % (15109)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_14786 for (2989ds/154Mi)
% 8.86/2.45 % (15097)Instruction limit reached!
% 8.86/2.45 % (15097)------------------------------
% 8.86/2.45 % (15097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.45 % (15097)Termination reason: Unknown
% 8.86/2.45 % (15097)Termination phase: Saturation
% 8.86/2.45
% 8.86/2.45 % (15097)Memory used [KB]: 6396
% 8.86/2.45 % (15097)Time elapsed: 0.119 s
% 8.86/2.45 % (15097)Instructions burned: 231 (million)
% 8.86/2.45 % (15097)------------------------------
% 8.86/2.45 % (15097)------------------------------
% 8.86/2.45 % (15104)Instruction limit reached!
% 8.86/2.45 % (15104)------------------------------
% 8.86/2.45 % (15104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.45 % (15104)Termination reason: Unknown
% 8.86/2.45 % (15104)Termination phase: Saturation
% 8.86/2.45
% 8.86/2.45 % (15104)Memory used [KB]: 6268
% 8.86/2.45 % (15104)Time elapsed: 0.086 s
% 8.86/2.45 % (15104)Instructions burned: 182 (million)
% 8.86/2.45 % (15104)------------------------------
% 8.86/2.45 % (15104)------------------------------
% 8.86/2.46 % (15113)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_14786 for (2988ds/216Mi)
% 8.86/2.46 % (15112)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_14786 for (2988ds/79Mi)
% 8.86/2.48 % (15105)Instruction limit reached!
% 8.86/2.48 % (15105)------------------------------
% 8.86/2.48 % (15105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.48 % (15105)Termination reason: Unknown
% 8.86/2.48 % (15105)Termination phase: Saturation
% 8.86/2.48
% 8.86/2.48 % (15105)Memory used [KB]: 6012
% 8.86/2.48 % (15105)Time elapsed: 0.093 s
% 8.86/2.48 % (15105)Instructions burned: 183 (million)
% 8.86/2.48 % (15105)------------------------------
% 8.86/2.48 % (15105)------------------------------
% 8.86/2.49 % (15109)Instruction limit reached!
% 8.86/2.49 % (15109)------------------------------
% 8.86/2.49 % (15109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.49 % (15109)Termination reason: Unknown
% 8.86/2.49 % (15109)Termination phase: Saturation
% 8.86/2.49
% 8.86/2.49 % (15109)Memory used [KB]: 6012
% 8.86/2.49 % (15109)Time elapsed: 0.079 s
% 8.86/2.49 % (15109)Instructions burned: 154 (million)
% 8.86/2.49 % (15109)------------------------------
% 8.86/2.49 % (15109)------------------------------
% 8.86/2.50 % (15115)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_14786 for (2988ds/114Mi)
% 9.24/2.50 % (15112)Instruction limit reached!
% 9.24/2.50 % (15112)------------------------------
% 9.24/2.50 % (15112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.50 % (15112)Termination reason: Unknown
% 9.24/2.50 % (15112)Termination phase: Saturation
% 9.24/2.50
% 9.24/2.50 % (15112)Memory used [KB]: 5628
% 9.24/2.50 % (15112)Time elapsed: 0.040 s
% 9.24/2.50 % (15112)Instructions burned: 79 (million)
% 9.24/2.50 % (15112)------------------------------
% 9.24/2.50 % (15112)------------------------------
% 9.24/2.50 % (15116)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_14786 for (2988ds/922Mi)
% 9.24/2.50 % (15101)Instruction limit reached!
% 9.24/2.50 % (15101)------------------------------
% 9.24/2.50 % (15101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.50 % (15101)Termination reason: Unknown
% 9.24/2.50 % (15101)Termination phase: Saturation
% 9.24/2.50
% 9.24/2.50 % (15101)Memory used [KB]: 6140
% 9.24/2.50 % (15101)Time elapsed: 0.135 s
% 9.24/2.50 % (15101)Instructions burned: 297 (million)
% 9.24/2.50 % (15101)------------------------------
% 9.24/2.50 % (15101)------------------------------
% 9.24/2.52 % (15117)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_14786 for (2988ds/182Mi)
% 9.24/2.52 % (15119)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_14786 for (2988ds/164Mi)
% 9.24/2.53 % (15113)Instruction limit reached!
% 9.24/2.53 % (15113)------------------------------
% 9.24/2.53 % (15113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.53 % (15113)Termination reason: Unknown
% 9.24/2.53 % (15113)Termination phase: Saturation
% 9.24/2.53
% 9.24/2.53 % (15113)Memory used [KB]: 6012
% 9.24/2.53 % (15113)Time elapsed: 0.071 s
% 9.24/2.53 % (15113)Instructions burned: 217 (million)
% 9.24/2.53 % (15113)------------------------------
% 9.24/2.53 % (15113)------------------------------
% 9.24/2.53 % (15098)Instruction limit reached!
% 9.24/2.53 % (15098)------------------------------
% 9.24/2.53 % (15098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.53 % (15098)Termination reason: Unknown
% 9.24/2.53 % (15098)Termination phase: Saturation
% 9.24/2.53
% 9.24/2.53 % (15098)Memory used [KB]: 6268
% 9.24/2.53 % (15098)Time elapsed: 0.217 s
% 9.24/2.53 % (15098)Instructions burned: 459 (million)
% 9.24/2.53 % (15098)------------------------------
% 9.24/2.53 % (15098)------------------------------
% 9.24/2.54 % (15120)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_14786 for (2988ds/50Mi)
% 9.24/2.55 % (15115)Instruction limit reached!
% 9.24/2.55 % (15115)------------------------------
% 9.24/2.55 % (15115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.55 % (15115)Termination reason: Unknown
% 9.24/2.55 % (15115)Termination phase: Saturation
% 9.24/2.55
% 9.24/2.55 % (15115)Memory used [KB]: 6524
% 9.24/2.55 % (15115)Time elapsed: 0.054 s
% 9.24/2.55 % (15115)Instructions burned: 114 (million)
% 9.24/2.55 % (15115)------------------------------
% 9.24/2.55 % (15115)------------------------------
% 9.24/2.55 % (15122)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_14786 for (2987ds/368Mi)
% 9.24/2.57 % (15120)Instruction limit reached!
% 9.24/2.57 % (15120)------------------------------
% 9.24/2.57 % (15120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.57 % (15120)Termination reason: Unknown
% 9.24/2.57 % (15120)Termination phase: Saturation
% 9.24/2.57
% 9.24/2.57 % (15120)Memory used [KB]: 10618
% 9.24/2.57 % (15120)Time elapsed: 0.027 s
% 9.24/2.57 % (15120)Instructions burned: 51 (million)
% 9.24/2.57 % (15120)------------------------------
% 9.24/2.57 % (15120)------------------------------
% 9.24/2.57 % (15124)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_14786 for (2987ds/1021Mi)
% 9.24/2.58 % (15125)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_14786 for (2987ds/267Mi)
% 9.24/2.59 % (15117)Instruction limit reached!
% 9.24/2.59 % (15117)------------------------------
% 9.24/2.59 % (15117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.59 % (15117)Termination reason: Unknown
% 9.24/2.59 % (15117)Termination phase: Saturation
% 9.24/2.59
% 9.24/2.59 % (15117)Memory used [KB]: 5756
% 9.24/2.59 % (15117)Time elapsed: 0.077 s
% 9.24/2.59 % (15117)Instructions burned: 182 (million)
% 9.24/2.59 % (15117)------------------------------
% 9.24/2.59 % (15117)------------------------------
% 9.93/2.61 % (15119)Instruction limit reached!
% 9.93/2.61 % (15119)------------------------------
% 9.93/2.61 % (15119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.61 % (15119)Termination reason: Unknown
% 9.93/2.61 % (15119)Termination phase: Saturation
% 9.93/2.61
% 9.93/2.61 % (15119)Memory used [KB]: 1279
% 9.93/2.61 % (15119)Time elapsed: 0.089 s
% 9.93/2.61 % (15119)Instructions burned: 166 (million)
% 9.93/2.61 % (15119)------------------------------
% 9.93/2.61 % (15119)------------------------------
% 9.93/2.61 % (15126)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_14786 for (2987ds/204Mi)
% 9.93/2.62 % (15127)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_14786 for (2987ds/26Mi)
% 9.93/2.64 % (15127)Instruction limit reached!
% 9.93/2.64 % (15127)------------------------------
% 9.93/2.64 % (15127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.64 % (15127)Termination reason: Unknown
% 9.93/2.64 % (15127)Termination phase: Saturation
% 9.93/2.64
% 9.93/2.64 % (15127)Memory used [KB]: 5628
% 9.93/2.64 % (15127)Time elapsed: 0.015 s
% 9.93/2.64 % (15127)Instructions burned: 27 (million)
% 9.93/2.64 % (15127)------------------------------
% 9.93/2.64 % (15127)------------------------------
% 9.93/2.65 % (15129)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_14786 for (2986ds/53Mi)
% 9.93/2.68 % (15129)Instruction limit reached!
% 9.93/2.68 % (15129)------------------------------
% 9.93/2.68 % (15129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.68 % (15129)Termination reason: Unknown
% 9.93/2.68 % (15129)Termination phase: Saturation
% 9.93/2.68
% 9.93/2.68 % (15129)Memory used [KB]: 5628
% 9.93/2.68 % (15129)Time elapsed: 0.048 s
% 9.93/2.68 % (15129)Instructions burned: 53 (million)
% 9.93/2.68 % (15129)------------------------------
% 9.93/2.68 % (15129)------------------------------
% 9.93/2.70 % (15131)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_14786 for (2986ds/4436Mi)
% 10.07/2.70 % (15122)Instruction limit reached!
% 10.07/2.70 % (15122)------------------------------
% 10.07/2.70 % (15122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.70 % (15122)Termination reason: Unknown
% 10.07/2.70 % (15122)Termination phase: Saturation
% 10.07/2.70
% 10.07/2.70 % (15122)Memory used [KB]: 6524
% 10.07/2.70 % (15122)Time elapsed: 0.147 s
% 10.07/2.70 % (15122)Instructions burned: 369 (million)
% 10.07/2.70 % (15122)------------------------------
% 10.07/2.70 % (15122)------------------------------
% 10.07/2.71 % (15132)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_14786 for (2986ds/1539Mi)
% 10.07/2.71 % (15126)Instruction limit reached!
% 10.07/2.71 % (15126)------------------------------
% 10.07/2.71 % (15126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.71 % (15126)Termination reason: Unknown
% 10.07/2.71 % (15126)Termination phase: Saturation
% 10.07/2.71
% 10.07/2.71 % (15126)Memory used [KB]: 5884
% 10.07/2.71 % (15126)Time elapsed: 0.101 s
% 10.07/2.71 % (15126)Instructions burned: 204 (million)
% 10.07/2.71 % (15126)------------------------------
% 10.07/2.71 % (15126)------------------------------
% 10.07/2.71 % (15125)Instruction limit reached!
% 10.07/2.71 % (15125)------------------------------
% 10.07/2.71 % (15125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.07/2.71 % (15125)Termination reason: Unknown
% 10.07/2.71 % (15125)Termination phase: Saturation
% 10.07/2.71
% 10.07/2.71 % (15125)Memory used [KB]: 6780
% 10.07/2.71 % (15125)Time elapsed: 0.130 s
% 10.07/2.71 % (15125)Instructions burned: 268 (million)
% 10.07/2.71 % (15125)------------------------------
% 10.07/2.71 % (15125)------------------------------
% 10.07/2.73 % (15133)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_14786 for (2986ds/408Mi)
% 10.07/2.73 % (15135)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_14786 for (2986ds/5205Mi)
% 10.49/2.82 % (15102)Instruction limit reached!
% 10.49/2.82 % (15102)------------------------------
% 10.49/2.82 % (15102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.49/2.82 % (15102)Termination reason: Unknown
% 10.49/2.82 % (15102)Termination phase: Saturation
% 10.49/2.82
% 10.49/2.82 % (15102)Memory used [KB]: 8571
% 10.49/2.82 % (15102)Time elapsed: 0.448 s
% 10.49/2.82 % (15102)Instructions burned: 989 (million)
% 10.49/2.82 % (15102)------------------------------
% 10.49/2.82 % (15102)------------------------------
% 10.49/2.83 % (15137)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_14786 for (2985ds/1913Mi)
% 10.49/2.90 % (15133)Instruction limit reached!
% 10.49/2.90 % (15133)------------------------------
% 10.49/2.90 % (15133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.49/2.90 % (15133)Termination reason: Unknown
% 10.49/2.90 % (15133)Termination phase: Saturation
% 10.49/2.90
% 10.49/2.90 % (15133)Memory used [KB]: 6140
% 10.49/2.90 % (15133)Time elapsed: 0.193 s
% 10.49/2.90 % (15133)Instructions burned: 410 (million)
% 10.49/2.90 % (15133)------------------------------
% 10.49/2.90 % (15133)------------------------------
% 11.13/2.90 % (15116)Instruction limit reached!
% 11.13/2.90 % (15116)------------------------------
% 11.13/2.90 % (15116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/2.90 % (15116)Termination reason: Unknown
% 11.13/2.90 % (15116)Termination phase: Saturation
% 11.13/2.90
% 11.13/2.90 % (15116)Memory used [KB]: 6524
% 11.13/2.90 % (15116)Time elapsed: 0.396 s
% 11.13/2.90 % (15116)Instructions burned: 925 (million)
% 11.13/2.90 % (15116)------------------------------
% 11.13/2.90 % (15116)------------------------------
% 11.13/2.91 % (15141)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_14786 for (2984ds/68Mi)
% 11.13/2.91 % (15140)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_14786 for (2984ds/4350Mi)
% 11.13/2.94 % (15141)Instruction limit reached!
% 11.13/2.94 % (15141)------------------------------
% 11.13/2.94 % (15141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/2.94 % (15141)Termination reason: Unknown
% 11.13/2.94 % (15141)Termination phase: Saturation
% 11.13/2.94
% 11.13/2.94 % (15141)Memory used [KB]: 6012
% 11.13/2.94 % (15141)Time elapsed: 0.031 s
% 11.13/2.94 % (15141)Instructions burned: 70 (million)
% 11.13/2.94 % (15141)------------------------------
% 11.13/2.94 % (15141)------------------------------
% 11.13/2.95 % (15142)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_14786 for (2983ds/358Mi)
% 11.13/2.99 % (15124)Instruction limit reached!
% 11.13/2.99 % (15124)------------------------------
% 11.13/2.99 % (15124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/2.99 % (15124)Termination reason: Unknown
% 11.13/2.99 % (15124)Termination phase: Saturation
% 11.13/2.99
% 11.13/2.99 % (15124)Memory used [KB]: 6780
% 11.13/2.99 % (15124)Time elapsed: 0.450 s
% 11.13/2.99 % (15124)Instructions burned: 1021 (million)
% 11.13/2.99 % (15124)------------------------------
% 11.13/2.99 % (15124)------------------------------
% 11.13/3.00 % (15145)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_14786 for (2983ds/31Mi)
% 11.13/3.01 % (15145)Instruction limit reached!
% 11.13/3.01 % (15145)------------------------------
% 11.13/3.01 % (15145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/3.01 % (15145)Termination reason: Unknown
% 11.13/3.01 % (15145)Termination phase: Saturation
% 11.13/3.01
% 11.13/3.01 % (15145)Memory used [KB]: 5756
% 11.13/3.01 % (15145)Time elapsed: 0.013 s
% 11.13/3.01 % (15145)Instructions burned: 34 (million)
% 11.13/3.01 % (15145)------------------------------
% 11.13/3.01 % (15145)------------------------------
% 11.13/3.02 % (15147)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_14786 for (2983ds/279Mi)
% 13.37/3.10 % (15142)Instruction limit reached!
% 13.37/3.10 % (15142)------------------------------
% 13.37/3.10 % (15142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.10 % (15142)Termination reason: Unknown
% 13.37/3.10 % (15142)Termination phase: Saturation
% 13.37/3.10
% 13.37/3.10 % (15142)Memory used [KB]: 6140
% 13.37/3.10 % (15142)Time elapsed: 0.158 s
% 13.37/3.10 % (15142)Instructions burned: 359 (million)
% 13.37/3.10 % (15142)------------------------------
% 13.37/3.10 % (15142)------------------------------
% 13.37/3.11 % (15148)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_14786 for (2982ds/258Mi)
% 13.37/3.12 % (15147)Instruction limit reached!
% 13.37/3.12 % (15147)------------------------------
% 13.37/3.12 % (15147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.12 % (15147)Termination reason: Unknown
% 13.37/3.12 % (15147)Termination phase: Saturation
% 13.37/3.12
% 13.37/3.12 % (15147)Memory used [KB]: 5884
% 13.37/3.12 % (15147)Time elapsed: 0.093 s
% 13.37/3.12 % (15147)Instructions burned: 280 (million)
% 13.37/3.12 % (15147)------------------------------
% 13.37/3.12 % (15147)------------------------------
% 14.06/3.13 % (15150)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_14786 for (2982ds/26Mi)
% 14.06/3.14 % (15150)Instruction limit reached!
% 14.06/3.14 % (15150)------------------------------
% 14.06/3.14 % (15150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.14 % (15150)Termination reason: Unknown
% 14.06/3.14 % (15150)Termination phase: Saturation
% 14.06/3.14
% 14.06/3.14 % (15150)Memory used [KB]: 5628
% 14.06/3.14 % (15150)Time elapsed: 0.010 s
% 14.06/3.14 % (15150)Instructions burned: 26 (million)
% 14.06/3.14 % (15150)------------------------------
% 14.06/3.14 % (15150)------------------------------
% 14.06/3.15 % (15151)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_14786 for (2981ds/995Mi)
% 14.46/3.20 % (15148)Refutation not found, non-redundant clauses discarded% (15148)------------------------------
% 14.46/3.20 % (15148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.46/3.20 % (15148)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.46/3.20
% 14.46/3.20 % (15148)Memory used [KB]: 6140
% 14.46/3.20 % (15148)Time elapsed: 0.086 s
% 14.46/3.20 % (15148)Instructions burned: 229 (million)
% 14.46/3.20 % (15148)------------------------------
% 14.46/3.20 % (15148)------------------------------
% 14.46/3.21 % (15152)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_14786 for (2981ds/373Mi)
% 15.05/3.35 % (15151)First to succeed.
% 15.05/3.36 % (15151)Refutation found. Thanks to Tanya!
% 15.05/3.36 % SZS status Theorem for DTF2THF_14786
% 15.05/3.36 % SZS output start Proof for DTF2THF_14786
% 15.05/3.36 thf(type_def_5, type, a: $tType).
% 15.05/3.36 thf(func_def_0, type, a: $tType).
% 15.05/3.36 thf(func_def_1, type, cP: (a > $o) > $o).
% 15.05/3.36 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 15.05/3.36 thf(func_def_19, type, sK2: a > a > $o).
% 15.05/3.36 thf(func_def_20, type, sK3: (a > $o) > a).
% 15.05/3.36 thf(func_def_21, type, sK4: (a > a > $o) > a > $o).
% 15.05/3.36 thf(func_def_22, type, sK5: (a > a > $o) > a).
% 15.05/3.36 thf(func_def_23, type, sK6: (a > a > $o) > a).
% 15.05/3.36 thf(f1458,plain,(
% 15.05/3.36 $false),
% 15.05/3.36 inference(avatar_sat_refutation,[status(thm)],[f172,f230,f714,f824,f836,f839,f931,f952,f953,f980,f984,f987,f1401,f1457])).
% 15.05/3.36 thf(f1457,plain,(
% 15.05/3.36 spl0_6 | ~spl0_35),
% 15.05/3.36 inference(avatar_contradiction_clause,[status(thm)],[f1456])).
% 15.05/3.36 thf(f1456,plain,(
% 15.05/3.36 $false | (spl0_6 | ~spl0_35)),
% 15.05/3.36 inference(subsumption_resolution,[status(thm)],[f1455,f170])).
% 15.05/3.36 thf(f170,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) != $false) | spl0_6),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f169])).
% 15.05/3.36 thf(f169,definition,(
% 15.05/3.36 spl0_6 <=> ((cP @ (sK4 @ sK2)) = $false)),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 15.05/3.36 thf(f1455,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) = $false) | ~spl0_35),
% 15.05/3.36 inference(equality_resolution,[status(thm)],[f1243])).
% 15.05/3.36 thf(f1243,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (((sK4 @ sK2) != X1) | ((cP @ X1) = $false)) ) | ~spl0_35),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f1242])).
% 15.05/3.36 thf(f1242,definition,(
% 15.05/3.36 spl0_35 <=> ! [X1 : a > $o] : (((cP @ X1) = $false) | ((sK4 @ sK2) != X1))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_35])],[avatar_definition])).
% 15.05/3.36 thf(f1401,plain,(
% 15.05/3.36 spl0_35 | spl0_10 | ~spl0_12 | ~spl0_15),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f1400,f572,f223,f215,f1242])).
% 15.05/3.36 thf(f215,definition,(
% 15.05/3.36 spl0_10 <=> ((sK4 @ sK2 @ (sK5 @ sK2)) = $false)),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 15.05/3.36 thf(f223,definition,(
% 15.05/3.36 spl0_12 <=> ((sK4 @ sK2 @ (sK6 @ sK2)) = $false)),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 15.05/3.36 thf(f572,definition,(
% 15.05/3.36 spl0_15 <=> ! [X2 : a > $o,X1 : a > $o] : (((X1 @ (sK5 @ sK2)) = $false) | (X1 != X2) | ($true = (X1 @ (sK6 @ sK2))) | ((cP @ X2) = $false))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
% 15.05/3.36 thf(f1400,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((sK4 @ sK2) != X0) | ((cP @ X0) = $false)) ) | (spl0_10 | ~spl0_12 | ~spl0_15)),
% 15.05/3.36 inference(subsumption_resolution,[status(thm)],[f1380,f216])).
% 15.05/3.36 thf(f216,plain,(
% 15.05/3.36 ((sK4 @ sK2 @ (sK5 @ sK2)) != $false) | spl0_10),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f215])).
% 15.05/3.36 thf(f1380,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((sK4 @ sK2) != X0) | ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | ((cP @ X0) = $false)) ) | (~spl0_12 | ~spl0_15)),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f1374])).
% 15.05/3.36 thf(f1374,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((sK4 @ sK2) != X0) | ((cP @ X0) = $false) | ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | ($true = $false)) ) | (~spl0_12 | ~spl0_15)),
% 15.05/3.36 inference(superposition,[status(thm)],[f224,f573])).
% 15.05/3.36 thf(f573,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (X1 @ (sK6 @ sK2))) | ((cP @ X2) = $false) | ((X1 @ (sK5 @ sK2)) = $false) | (X1 != X2)) ) | ~spl0_15),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f572])).
% 15.05/3.36 thf(f224,plain,(
% 15.05/3.36 ((sK4 @ sK2 @ (sK6 @ sK2)) = $false) | ~spl0_12),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f223])).
% 15.05/3.36 thf(f987,plain,(
% 15.05/3.36 spl0_12 | spl0_3 | spl0_4 | spl0_6),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f751,f169,f162,f159,f223])).
% 15.05/3.36 thf(f159,definition,(
% 15.05/3.36 spl0_3 <=> ! [X2 : a,X1 : a > $o] : (((cP @ X1) = $false) | ((sK2 @ (sK5 @ sK2) @ X2) = $false) | ($false = (X1 @ (sK6 @ sK2))) | ($false = (X1 @ X2)))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 15.05/3.36 thf(f162,definition,(
% 15.05/3.36 spl0_4 <=> ! [X0 : a] : ((sK4 @ sK2 @ X0) = $false)),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 15.05/3.36 thf(f751,plain,(
% 15.05/3.36 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((cP @ (sK4 @ sK2)) = $false) | ((cP @ X0) = $false) | ((sK4 @ sK2 @ (sK6 @ sK2)) = $false) | ((X0 @ X1) = $false) | ($false = (sK2 @ (sK5 @ sK2) @ X1)) | ((X0 @ (sK6 @ sK2)) = $false) | ($false = (sK4 @ sK2 @ X2))) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f745])).
% 15.05/3.36 thf(f745,plain,(
% 15.05/3.36 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($false = (sK4 @ sK2 @ X2)) | ($false = (sK2 @ (sK5 @ sK2) @ X1)) | ((sK4 @ sK2 @ (sK6 @ sK2)) = $false) | ($true = $false) | ((X0 @ X1) = $false) | ((cP @ (sK4 @ sK2)) = $false) | ((X0 @ (sK6 @ sK2)) = $false) | ((cP @ X0) = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f82,f154])).
% 15.05/3.36 thf(f154,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (($false = (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ((cP @ (sK4 @ X1)) = $false) | ($false = (sK4 @ X1 @ (sK6 @ X1))) | ((sK4 @ X1 @ X2) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f65])).
% 15.05/3.36 thf(f65,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (((sK4 @ X1 @ (sK6 @ X1)) != (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ((sK4 @ X1 @ X2) = $false) | ((cP @ (sK4 @ X1)) = $false)) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f64])).
% 15.05/3.36 thf(f64,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((sK4 @ X1 @ (sK6 @ X1)) != (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ((cP @ (sK4 @ X1)) = $false) | ($false = (?? @ a @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f63])).
% 15.05/3.36 thf(f63,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($false = ((sK4 @ X1 @ (sK6 @ X1)) = (X1 @ (sK5 @ X1) @ (sK6 @ X1)))) | ((cP @ (sK4 @ X1)) = $false) | ($false = (?? @ a @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f62])).
% 15.05/3.36 thf(f62,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : ((((^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ (sK5 @ X1) @ Y0))) @ (sK6 @ X1)) = $false) | ((cP @ (sK4 @ X1)) = $false) | ($false = (?? @ a @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(sigma_clausification,[status(thm)],[f59])).
% 15.05/3.36 thf(f59,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((cP @ (sK4 @ X1)) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ (sK5 @ X1) @ Y0)))) = $false) | ($false = (?? @ a @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 15.05/3.36 thf(f58,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((cP @ (sK4 @ X1)) = $false) | (((sK4 @ X1 @ (sK5 @ X1)) => (!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ (sK5 @ X1) @ Y0))))) = $false) | ($false = (?? @ a @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f57])).
% 15.05/3.36 thf(f57,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((cP @ (sK4 @ X1)) = $false) | ($false = (?? @ a @ (sK4 @ X1))) | (((^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))) @ (sK5 @ X1)) = $false)) )),
% 15.05/3.36 inference(sigma_clausification,[status(thm)],[f56])).
% 15.05/3.36 thf(f56,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))) | ($false = (?? @ a @ (sK4 @ X1))) | ((cP @ (sK4 @ X1)) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f55])).
% 15.05/3.36 thf(f55,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : ((((!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1))))))) & (?? @ a @ (sK4 @ X1))) = $false) | ((cP @ (sK4 @ X1)) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 15.05/3.36 thf(f53,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : ((((!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1))))))) & (?? @ a @ (sK4 @ X1))) != (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f52])).
% 15.05/3.36 thf(f52,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((cP @ (sK4 @ X1)) != ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2))))))) & (?? @ a @ Y0))) @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(negative_extensionality,[status(thm)],[f49])).
% 15.05/3.36 thf(f49,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : ((cP != (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2))))))) & (?? @ a @ Y0))))) )),
% 15.05/3.36 inference(equality_proxy_clausification,[status(thm)],[f48])).
% 15.05/3.36 thf(f48,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (((cP = (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2))))))) & (?? @ a @ Y0)))) = $false)) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f47])).
% 15.05/3.36 thf(f47,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($false = ((^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ Y1))))) @ X1))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f18])).
% 15.05/3.36 thf(f18,plain,(
% 15.05/3.36 ((?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ Y1)))))) = $false)),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 15.05/3.36 thf(f9,plain,(
% 15.05/3.36 ($false = ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ Y1))))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 15.05/3.36 thf(f8,plain,(
% 15.05/3.36 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1)))))) => ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ Y1)))))))) = $false)),
% 15.05/3.36 inference(not_proxy_clausification,[status(thm)],[f7])).
% 15.05/3.36 thf(f7,plain,(
% 15.05/3.36 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1)))))) => ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ Y1))))))))))),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f6])).
% 15.05/3.36 thf(f6,plain,(
% 15.05/3.36 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1)))))) => ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ (^[Y1 : a]: (Y0 @ Y1))))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))))))))),
% 15.05/3.36 inference(cnf_transformation,[status(thm)],[f5])).
% 15.05/3.36 thf(f5,plain,(
% 15.05/3.36 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1)))))) => ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ (^[Y1 : a]: (Y0 @ Y1))))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (cP = (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))) & (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))))))))),
% 15.05/3.36 inference(fool_elimination,[status(thm)],[f4])).
% 15.05/3.36 thf(f4,plain,(
% 15.05/3.36 ~(! [X0 : a > $o,X1 : a > $o] : (((X0 = X1) & (cP @ X1)) => (cP @ X0)) => ((! [X2 : a] : ? [X3 : a > $o] : ((X3 @ X2) & (cP @ X3)) & ! [X4 : a > $o] : ((cP @ X4) => ? [X5 : a] : (X4 @ X5)) & ! [X6 : a > $o,X7 : a,X8 : a,X9 : a > $o] : (((cP @ X6) & (X6 @ X8) & (X9 @ X8) & (cP @ X9) & (X9 @ X7)) => (X6 @ X7))) => ? [X10 : a > a > $o] : (cP = (^[X11 : a > $o] : (? [X12 : a] : (X11 @ X12) & ! [X13 : a] : ((X11 @ X13) => ! [X14 : a] : ((X11 @ X14) <=> (X10 @ X13 @ X14))))))))),
% 15.05/3.36 inference(rectify,[status(thm)],[f2])).
% 15.05/3.36 thf(f2,negated_conjecture,(
% 15.05/3.36 ~(! [X1 : a > $o,X0 : a > $o] : (((X0 = X1) & (cP @ X0)) => (cP @ X1)) => ((! [X4 : a] : ? [X2 : a > $o] : ((X2 @ X4) & (cP @ X2)) & ! [X2 : a > $o] : ((cP @ X2) => ? [X3 : a] : (X2 @ X3)) & ! [X6 : a > $o,X5 : a,X4 : a,X2 : a > $o] : (((cP @ X6) & (X6 @ X4) & (X2 @ X4) & (cP @ X2) & (X2 @ X5)) => (X6 @ X5))) => ? [X7 : a > a > $o] : (cP = (^[X8 : a > $o] : (? [X3 : a] : (X8 @ X3) & ! [X4 : a] : ((X8 @ X4) => ! [X5 : a] : ((X8 @ X5) <=> (X7 @ X4 @ X5))))))))),
% 15.05/3.36 inference(negated_conjecture,[status(cth)],[f1])).
% 15.05/3.36 thf(f1,conjecture,(
% 15.05/3.36 ! [X1 : a > $o,X0 : a > $o] : (((X0 = X1) & (cP @ X0)) => (cP @ X1)) => ((! [X4 : a] : ? [X2 : a > $o] : ((X2 @ X4) & (cP @ X2)) & ! [X2 : a > $o] : ((cP @ X2) => ? [X3 : a] : (X2 @ X3)) & ! [X6 : a > $o,X5 : a,X4 : a,X2 : a > $o] : (((cP @ X6) & (X6 @ X4) & (X2 @ X4) & (cP @ X2) & (X2 @ X5)) => (X6 @ X5))) => ? [X7 : a > a > $o] : (cP = (^[X8 : a > $o] : (? [X3 : a] : (X8 @ X3) & ! [X4 : a] : ((X8 @ X4) => ! [X5 : a] : ((X8 @ X5) <=> (X7 @ X4 @ X5)))))))),
% 15.05/3.36 file('/export/starexec/sandbox2/tmp/tmp.lUSGsunddo/DTF2THF_14786.p',cTHM262_D_EXT2_pme)).
% 15.05/3.36 thf(f82,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X0 : a,X1 : a > $o] : (($true = (sK2 @ X0 @ X2)) | ($false = (X1 @ X2)) | ((sK2 @ X0 @ X3) = $false) | ((cP @ X1) = $false) | ($false = (X1 @ X3))) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f76])).
% 15.05/3.36 thf(f76,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X0 : a,X1 : a > $o] : (($false = (X1 @ X2)) | ($true = (sK2 @ X0 @ X2)) | ($true = $false) | ((sK2 @ X0 @ X3) = $false) | ((cP @ X1) = $false) | ($false = (X1 @ X3))) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f42,f27])).
% 15.05/3.36 thf(f27,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = (cP @ (sK2 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 15.05/3.36 thf(f25,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = ((cP @ (sK2 @ X1)) & (sK2 @ X1 @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f24])).
% 15.05/3.36 thf(f24,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = ((^[Y0 : a > $o]: ((cP @ Y0) & (Y0 @ X1))) @ (sK2 @ X1)))) )),
% 15.05/3.36 inference(sigma_clausification,[status(thm)],[f23])).
% 15.05/3.36 thf(f23,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) & (Y0 @ X1)))))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f22])).
% 15.05/3.36 thf(f22,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))) @ X1))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f20])).
% 15.05/3.36 thf(f20,plain,(
% 15.05/3.36 ($true = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0)))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 15.05/3.36 thf(f19,plain,(
% 15.05/3.36 ($true = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((cP @ Y1) & (Y1 @ Y0))))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 15.05/3.36 thf(f42,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($false = (cP @ X4)) | ($false = (X1 @ X3)) | ($false = (X4 @ X2)) | ($true = (X4 @ X3)) | ($false = (X1 @ X2)) | ((cP @ X1) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 15.05/3.36 thf(f41,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($false = (X1 @ X2)) | ($true = (X4 @ X3)) | (((X1 @ X3) & (cP @ X1)) = $false) | ($false = (X4 @ X2)) | ($false = (cP @ X4))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 15.05/3.36 thf(f40,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($true = (X4 @ X3)) | ($false = (X4 @ X2)) | ($false = (cP @ X4)) | ($false = (((X1 @ X3) & (cP @ X1)) & (X1 @ X2)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 15.05/3.36 thf(f39,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($false = ((((X1 @ X3) & (cP @ X1)) & (X1 @ X2)) & (X4 @ X2))) | ($true = (X4 @ X3)) | ($false = (cP @ X4))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 15.05/3.36 thf(f38,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($true = (X4 @ X3)) | ($false = (((((X1 @ X3) & (cP @ X1)) & (X1 @ X2)) & (X4 @ X2)) & (cP @ X4)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 15.05/3.36 thf(f37,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : (($true = ((((((X1 @ X3) & (cP @ X1)) & (X1 @ X2)) & (X4 @ X2)) & (cP @ X4)) => (X4 @ X3)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f36])).
% 15.05/3.36 thf(f36,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o,X4 : a > $o] : ((((^[Y0 : a > $o]: ((((((X1 @ X3) & (cP @ X1)) & (X1 @ X2)) & (Y0 @ X2)) & (cP @ Y0)) => (Y0 @ X3))) @ X4) = $true)) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f35])).
% 15.05/3.36 thf(f35,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((((((X1 @ X3) & (cP @ X1)) & (X1 @ X2)) & (Y0 @ X2)) & (cP @ Y0)) => (Y0 @ X3)))))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f34])).
% 15.05/3.36 thf(f34,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((((((X1 @ Y0) & (cP @ X1)) & (X1 @ X2)) & (Y1 @ X2)) & (cP @ Y1)) => (Y1 @ Y0))))) @ X3))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f33])).
% 15.05/3.36 thf(f33,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((((((X1 @ Y0) & (cP @ X1)) & (X1 @ X2)) & (Y1 @ X2)) & (cP @ Y1)) => (Y1 @ Y0)))))))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f32])).
% 15.05/3.36 thf(f32,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((((((X1 @ Y1) & (cP @ X1)) & (X1 @ Y0)) & (Y2 @ Y0)) & (cP @ Y2)) => (Y2 @ Y1))))))) @ X2))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f31])).
% 15.05/3.36 thf(f31,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((((((X1 @ Y1) & (cP @ X1)) & (X1 @ Y0)) & (Y2 @ Y0)) & (cP @ Y2)) => (Y2 @ Y1)))))))) = $true)) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f30])).
% 15.05/3.36 thf(f30,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2))))))))) @ X1))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f29])).
% 15.05/3.36 thf(f29,plain,(
% 15.05/3.36 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 15.05/3.36 thf(f21,plain,(
% 15.05/3.36 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((Y0 @ Y2) & (cP @ Y0)) & (Y0 @ Y1)) & (Y3 @ Y1)) & (cP @ Y3)) => (Y3 @ Y2)))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 15.05/3.36 thf(f984,plain,(
% 15.05/3.36 spl0_1 | ~spl0_4),
% 15.05/3.36 inference(avatar_contradiction_clause,[status(thm)],[f983])).
% 15.05/3.36 thf(f983,plain,(
% 15.05/3.36 $false | (spl0_1 | ~spl0_4)),
% 15.05/3.36 inference(subsumption_resolution,[status(thm)],[f972,f142])).
% 15.05/3.36 thf(f142,plain,(
% 15.05/3.36 ($true != (cP @ (sK4 @ sK2))) | spl0_1),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f141])).
% 15.05/3.36 thf(f141,definition,(
% 15.05/3.36 spl0_1 <=> ($true = (cP @ (sK4 @ sK2)))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 15.05/3.36 thf(f972,plain,(
% 15.05/3.36 ($true = (cP @ (sK4 @ sK2))) | ~spl0_4),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f965])).
% 15.05/3.36 thf(f965,plain,(
% 15.05/3.36 ($true = (cP @ (sK4 @ sK2))) | ($true = $false) | ~spl0_4),
% 15.05/3.36 inference(superposition,[status(thm)],[f68,f163])).
% 15.05/3.36 thf(f163,plain,(
% 15.05/3.36 ( ! [X0 : a] : (((sK4 @ sK2 @ X0) = $false)) ) | ~spl0_4),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f162])).
% 15.05/3.36 thf(f68,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($true = (sK4 @ X1 @ (sK3 @ (sK4 @ X1)))) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(sigma_clausification,[status(thm)],[f66])).
% 15.05/3.36 thf(f66,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($true = (?? @ a @ (sK4 @ X1))) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 15.05/3.36 thf(f54,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1))))))) & (?? @ a @ (sK4 @ X1)))) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 15.05/3.36 thf(f980,plain,(
% 15.05/3.36 spl0_6 | ~spl0_4),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f974,f162,f169])).
% 15.05/3.36 thf(f974,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) = $false) | ~spl0_4),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f967])).
% 15.05/3.36 thf(f967,plain,(
% 15.05/3.36 ($true = $false) | ((cP @ (sK4 @ sK2)) = $false) | ~spl0_4),
% 15.05/3.36 inference(superposition,[status(thm)],[f46,f163])).
% 15.05/3.36 thf(f46,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = (X1 @ (sK3 @ X1))) | ((cP @ X1) = $false)) )),
% 15.05/3.36 inference(sigma_clausification,[status(thm)],[f45])).
% 15.05/3.36 thf(f45,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (((cP @ X1) = $false) | ($true = (?? @ a @ X1))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 15.05/3.36 thf(f44,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = ((cP @ X1) => (?? @ a @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f43])).
% 15.05/3.36 thf(f43,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0))) @ X1))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f28])).
% 15.05/3.36 thf(f28,plain,(
% 15.05/3.36 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((cP @ Y0) => (?? @ a @ Y0)))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 15.05/3.36 thf(f953,plain,(
% 15.05/3.36 spl0_6 | spl0_15 | spl0_5 | spl0_4),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f563,f162,f165,f572,f169])).
% 15.05/3.36 thf(f165,definition,(
% 15.05/3.36 spl0_5 <=> ($true = (sK4 @ sK2 @ (sK6 @ sK2)))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 15.05/3.36 thf(f563,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X0 : a,X1 : a > $o] : (((X1 @ (sK5 @ sK2)) = $false) | ($true = (sK4 @ sK2 @ (sK6 @ sK2))) | ((sK4 @ sK2 @ X0) = $false) | (X1 != X2) | ((cP @ (sK4 @ sK2)) = $false) | ($true = (X1 @ (sK6 @ sK2))) | ((cP @ X2) = $false)) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f548])).
% 15.05/3.36 thf(f548,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X0 : a,X1 : a > $o] : ((X1 != X2) | ((cP @ (sK4 @ sK2)) = $false) | ((X1 @ (sK5 @ sK2)) = $false) | ((cP @ X2) = $false) | ($true = (sK4 @ sK2 @ (sK6 @ sK2))) | ((sK4 @ sK2 @ X0) = $false) | ($true = (X1 @ (sK6 @ sK2))) | ($true = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f153,f279])).
% 15.05/3.36 thf(f279,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a > $o,X0 : a,X1 : a > $o] : (($false = (sK2 @ X0 @ X2)) | ($true = (X1 @ X2)) | ((X1 @ X0) = $false) | ((cP @ X3) = $false) | (X1 != X3)) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f265])).
% 15.05/3.36 thf(f265,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a > $o,X0 : a,X1 : a > $o] : ((X1 != X3) | ($false = (sK2 @ X0 @ X2)) | ($true = (X1 @ X2)) | ((cP @ X3) = $false) | ($true = $false) | ((X1 @ X0) = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f26,f99])).
% 15.05/3.36 thf(f99,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X3 : a,X0 : a,X1 : a,X4 : a > $o] : (($false = (sK2 @ X0 @ X1)) | ($true = (X4 @ X3)) | ((cP @ X2) = $false) | ((sK2 @ X0 @ X3) = $false) | ($false = (X4 @ X1)) | (X2 != X4)) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f93])).
% 15.05/3.36 thf(f93,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X3 : a,X0 : a,X1 : a,X4 : a > $o] : (($true = $false) | ($true = (X4 @ X3)) | ($false = (X4 @ X1)) | (X2 != X4) | ((cP @ X2) = $false) | ($false = (sK2 @ X0 @ X1)) | ((sK2 @ X0 @ X3) = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f83,f27])).
% 15.05/3.36 thf(f83,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X3 : a,X0 : a > $o,X1 : a > $o,X4 : a] : (((cP @ X2) = $false) | ((X2 @ X4) = $false) | ((cP @ X1) = $false) | ((X2 @ X3) = $false) | ((X0 @ X4) = $false) | ($true = (X0 @ X3)) | (X0 != X1)) )),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f78])).
% 15.05/3.36 thf(f78,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X3 : a,X0 : a > $o,X1 : a > $o,X4 : a] : (((X2 @ X4) = $false) | ((cP @ X1) = $false) | (X0 != X1) | ($true = (X0 @ X3)) | ((cP @ X2) = $false) | ((X2 @ X3) = $false) | ($true = $false) | ((X0 @ X4) = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f17,f42])).
% 15.05/3.36 thf(f17,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : (((cP @ X2) = $true) | ((cP @ X1) = $false) | (X1 != X2)) )),
% 15.05/3.36 inference(equality_proxy_clausification,[status(thm)],[f16])).
% 15.05/3.36 thf(f16,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : (((cP @ X1) = $false) | ((X2 = X1) = $false) | ((cP @ X2) = $true)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f15])).
% 15.05/3.36 thf(f15,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : ((((cP @ X1) & (X2 = X1)) = $false) | ((cP @ X2) = $true)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 15.05/3.36 thf(f14,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (((cP @ X1) & (X2 = X1)) => (cP @ X2)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f13])).
% 15.05/3.36 thf(f13,plain,(
% 15.05/3.36 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((cP @ X1) & (Y0 = X1)) => (cP @ Y0))) @ X2))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f12])).
% 15.05/3.36 thf(f12,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((cP @ X1) & (Y0 = X1)) => (cP @ Y0)))))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f11])).
% 15.05/3.36 thf(f11,plain,(
% 15.05/3.36 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1))))) @ X1))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f10])).
% 15.05/3.36 thf(f10,plain,(
% 15.05/3.36 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((cP @ Y0) & (Y1 = Y0)) => (cP @ Y1)))))))),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 15.05/3.36 thf(f26,plain,(
% 15.05/3.36 ( ! [X1 : a] : (($true = (sK2 @ X1 @ X1))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 15.05/3.36 thf(f153,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (($true = (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ((cP @ (sK4 @ X1)) = $false) | ($true = (sK4 @ X1 @ (sK6 @ X1))) | ((sK4 @ X1 @ X2) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f65])).
% 15.05/3.36 thf(f952,plain,(
% 15.05/3.36 spl0_5 | spl0_4 | spl0_6 | ~spl0_19),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f766,f706,f169,f162,f165])).
% 15.05/3.36 thf(f706,definition,(
% 15.05/3.36 spl0_19 <=> ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2)))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition])).
% 15.05/3.36 thf(f766,plain,(
% 15.05/3.36 ( ! [X0 : a] : (((cP @ (sK4 @ sK2)) = $false) | ($true = (sK4 @ sK2 @ (sK6 @ sK2))) | ((sK4 @ sK2 @ X0) = $false)) ) | ~spl0_19),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f765])).
% 15.05/3.36 thf(f765,plain,(
% 15.05/3.36 ( ! [X0 : a] : (($true = $false) | ((sK4 @ sK2 @ X0) = $false) | ($true = (sK4 @ sK2 @ (sK6 @ sK2))) | ((cP @ (sK4 @ sK2)) = $false)) ) | ~spl0_19),
% 15.05/3.36 inference(superposition,[status(thm)],[f153,f708])).
% 15.05/3.36 thf(f708,plain,(
% 15.05/3.36 ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ~spl0_19),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f706])).
% 15.05/3.36 thf(f931,plain,(
% 15.05/3.36 spl0_1 | spl0_4),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f337,f162,f141])).
% 15.05/3.36 thf(f337,plain,(
% 15.05/3.36 ( ! [X0 : a] : (($true = (cP @ (sK4 @ sK2))) | ((sK4 @ sK2 @ X0) = $false)) )),
% 15.05/3.36 inference(duplicate_literal_removal,[status(thm)],[f335])).
% 15.05/3.36 thf(f335,plain,(
% 15.05/3.36 ( ! [X0 : a] : (($true = (cP @ (sK4 @ sK2))) | ((sK4 @ sK2 @ X0) = $false) | ($true = (cP @ (sK4 @ sK2)))) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f27,f122])).
% 15.05/3.36 thf(f122,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (((sK4 @ X1) = (X1 @ X2)) | ((sK4 @ X1 @ X2) = $false) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(negative_extensionality,[status(thm)],[f74])).
% 15.05/3.36 thf(f74,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (((sK4 @ X1 @ X3) = (X1 @ X2 @ X3)) | ((sK4 @ X1 @ X2) = $false) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 15.05/3.36 thf(f73,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (($true = ((sK4 @ X1 @ X3) = (X1 @ X2 @ X3))) | ($true = (cP @ (sK4 @ X1))) | ((sK4 @ X1 @ X2) = $false)) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f72])).
% 15.05/3.36 thf(f72,plain,(
% 15.05/3.36 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (((sK4 @ X1 @ X2) = $false) | ($true = (cP @ (sK4 @ X1))) | ($true = ((^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ X2 @ Y0))) @ X3))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f71])).
% 15.05/3.36 thf(f71,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (((sK4 @ X1 @ X2) = $false) | ($true = (!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ X2 @ Y0))))) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f70])).
% 15.05/3.36 thf(f70,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (($true = ((sK4 @ X1 @ X2) => (!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) = (X1 @ X2 @ Y0)))))) | ($true = (cP @ (sK4 @ X1)))) )),
% 15.05/3.36 inference(beta_eta_normalization,[status(thm)],[f69])).
% 15.05/3.36 thf(f69,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (($true = (cP @ (sK4 @ X1))) | ($true = ((^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))) @ X2))) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f67])).
% 15.05/3.36 thf(f67,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($true = (cP @ (sK4 @ X1))) | ($true = (!! @ a @ (^[Y0 : a]: ((sK4 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ X1 @ Y1) = (X1 @ Y0 @ Y1))))))))) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 15.05/3.36 thf(f839,plain,(
% 15.05/3.36 ~spl0_1 | ~spl0_6),
% 15.05/3.36 inference(avatar_contradiction_clause,[status(thm)],[f838])).
% 15.05/3.36 thf(f838,plain,(
% 15.05/3.36 $false | (~spl0_1 | ~spl0_6)),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f837])).
% 15.05/3.36 thf(f837,plain,(
% 15.05/3.36 ($true = $false) | (~spl0_1 | ~spl0_6)),
% 15.05/3.36 inference(backward_demodulation,[status(thm)],[f143,f171])).
% 15.05/3.36 thf(f171,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) = $false) | ~spl0_6),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f169])).
% 15.05/3.36 thf(f143,plain,(
% 15.05/3.36 ($true = (cP @ (sK4 @ sK2))) | ~spl0_1),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f141])).
% 15.05/3.36 thf(f836,plain,(
% 15.05/3.36 spl0_6 | spl0_4 | ~spl0_10),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f832,f215,f162,f169])).
% 15.05/3.36 thf(f832,plain,(
% 15.05/3.36 ( ! [X0 : a] : (((cP @ (sK4 @ sK2)) = $false) | ((sK4 @ sK2 @ X0) = $false)) ) | ~spl0_10),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f828])).
% 15.05/3.36 thf(f828,plain,(
% 15.05/3.36 ( ! [X0 : a] : (((sK4 @ sK2 @ X0) = $false) | ($true = $false) | ((cP @ (sK4 @ sK2)) = $false)) ) | ~spl0_10),
% 15.05/3.36 inference(superposition,[status(thm)],[f61,f217])).
% 15.05/3.36 thf(f217,plain,(
% 15.05/3.36 ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | ~spl0_10),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f215])).
% 15.05/3.36 thf(f61,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > a > $o] : (($true = (sK4 @ X1 @ (sK5 @ X1))) | ((cP @ (sK4 @ X1)) = $false) | ((sK4 @ X1 @ X2) = $false)) )),
% 15.05/3.36 inference(pi_clausification,[status(thm)],[f60])).
% 15.05/3.36 thf(f60,plain,(
% 15.05/3.36 ( ! [X1 : a > a > $o] : (($false = (?? @ a @ (sK4 @ X1))) | ($true = (sK4 @ X1 @ (sK5 @ X1))) | ((cP @ (sK4 @ X1)) = $false)) )),
% 15.05/3.36 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 15.05/3.36 thf(f824,plain,(
% 15.05/3.36 spl0_10 | ~spl0_1 | ~spl0_5 | ~spl0_9),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f823,f212,f165,f141,f215])).
% 15.05/3.36 thf(f212,definition,(
% 15.05/3.36 spl0_9 <=> ! [X0 : a > $o] : (((X0 @ (sK6 @ sK2)) = $false) | ((cP @ X0) = $false) | ((X0 @ (sK5 @ sK2)) = $false))),
% 15.05/3.36 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 15.05/3.36 thf(f823,plain,(
% 15.05/3.36 ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | (~spl0_1 | ~spl0_5 | ~spl0_9)),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f822])).
% 15.05/3.36 thf(f822,plain,(
% 15.05/3.36 ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | ($true = $false) | (~spl0_1 | ~spl0_5 | ~spl0_9)),
% 15.05/3.36 inference(forward_demodulation,[status(thm)],[f791,f143])).
% 15.05/3.36 thf(f791,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) = $false) | ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | (~spl0_5 | ~spl0_9)),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f789])).
% 15.05/3.36 thf(f789,plain,(
% 15.05/3.36 ((cP @ (sK4 @ sK2)) = $false) | ($true = $false) | ((sK4 @ sK2 @ (sK5 @ sK2)) = $false) | (~spl0_5 | ~spl0_9)),
% 15.05/3.36 inference(superposition,[status(thm)],[f166,f213])).
% 15.05/3.36 thf(f213,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((X0 @ (sK6 @ sK2)) = $false) | ((cP @ X0) = $false) | ((X0 @ (sK5 @ sK2)) = $false)) ) | ~spl0_9),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f212])).
% 15.05/3.36 thf(f166,plain,(
% 15.05/3.36 ($true = (sK4 @ sK2 @ (sK6 @ sK2))) | ~spl0_5),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f165])).
% 15.05/3.36 thf(f714,plain,(
% 15.05/3.36 spl0_19 | ~spl0_3),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f713,f159,f706])).
% 15.05/3.36 thf(f713,plain,(
% 15.05/3.36 ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ~spl0_3),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f712])).
% 15.05/3.36 thf(f712,plain,(
% 15.05/3.36 ($true = $false) | ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ~spl0_3),
% 15.05/3.36 inference(forward_demodulation,[status(thm)],[f686,f27])).
% 15.05/3.36 thf(f686,plain,(
% 15.05/3.36 ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ((cP @ (sK2 @ (sK5 @ sK2))) = $false) | ~spl0_3),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f685])).
% 15.05/3.36 thf(f685,plain,(
% 15.05/3.36 ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ($false != $false) | ((cP @ (sK2 @ (sK5 @ sK2))) = $false) | ~spl0_3),
% 15.05/3.36 inference(duplicate_literal_removal,[status(thm)],[f679])).
% 15.05/3.36 thf(f679,plain,(
% 15.05/3.36 ((cP @ (sK2 @ (sK5 @ sK2))) = $false) | ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ($false != $false) | ($false = (sK2 @ (sK5 @ sK2) @ (sK6 @ sK2))) | ~spl0_3),
% 15.05/3.36 inference(equality_factoring,[status(thm)],[f160])).
% 15.05/3.36 thf(f160,plain,(
% 15.05/3.36 ( ! [X2 : a,X1 : a > $o] : (((sK2 @ (sK5 @ sK2) @ X2) = $false) | ($false = (X1 @ (sK6 @ sK2))) | ($false = (X1 @ X2)) | ((cP @ X1) = $false)) ) | ~spl0_3),
% 15.05/3.36 inference(avatar_component_clause,[status(thm)],[f159])).
% 15.05/3.36 thf(f230,plain,(
% 15.05/3.36 spl0_9 | ~spl0_3),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f200,f159,f212])).
% 15.05/3.36 thf(f200,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((X0 @ (sK5 @ sK2)) = $false) | ((cP @ X0) = $false) | ((X0 @ (sK6 @ sK2)) = $false)) ) | ~spl0_3),
% 15.05/3.36 inference(trivial_inequality_removal,[status(thm)],[f186])).
% 15.05/3.36 thf(f186,plain,(
% 15.05/3.36 ( ! [X0 : a > $o] : (((X0 @ (sK5 @ sK2)) = $false) | ((X0 @ (sK6 @ sK2)) = $false) | ((cP @ X0) = $false) | ($true = $false)) ) | ~spl0_3),
% 15.05/3.36 inference(superposition,[status(thm)],[f160,f26])).
% 15.05/3.36 thf(f172,plain,(
% 15.05/3.36 spl0_3 | spl0_4 | ~spl0_5 | spl0_6),
% 15.05/3.36 inference(avatar_split_clause,[status(thm)],[f155,f169,f165,f162,f159])).
% 15.05/3.36 thf(f155,plain,(
% 15.05/3.36 ( ! [X2 : a,X0 : a,X1 : a > $o] : (((cP @ X1) = $false) | ($false = (X1 @ X2)) | ($true != (sK4 @ sK2 @ (sK6 @ sK2))) | ($false = (X1 @ (sK6 @ sK2))) | ((cP @ (sK4 @ sK2)) = $false) | ((sK2 @ (sK5 @ sK2) @ X2) = $false) | ((sK4 @ sK2 @ X0) = $false)) )),
% 15.05/3.36 inference(superposition,[status(thm)],[f65,f82])).
% 15.05/3.36 % SZS output end Proof for DTF2THF_14786
% 15.05/3.36 % (15151)------------------------------
% 15.05/3.36 % (15151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.05/3.36 % (15151)Termination reason: Refutation
% 15.05/3.36
% 15.05/3.36 % (15151)Memory used [KB]: 6396
% 15.05/3.36 % (15151)Time elapsed: 0.209 s
% 15.05/3.36 % (15151)Instructions burned: 551 (million)
% 15.05/3.36 % (15151)------------------------------
% 15.05/3.36 % (15151)------------------------------
% 15.05/3.36 % (14965)Success in time 2.039 s
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