%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV023^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 15.32s 3.33s
% Output : Refutation 15.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 152 ( 43 unt; 0 typ; 8 def)
% Number of atoms : 1425 ( 367 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 2163 ( 77 ~; 255 |; 153 &;1354 @)
% ( 11 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 420 ( 420 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 17 usr; 12 con; 0-2 aty)
% ( 153 !!; 52 ??; 0 @@+; 0 @@-)
% Number of variables : 446 ( 209 ^; 225 !; 12 ?; 446 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
sK2: ( a > $o ) > $o ).
thf(func_def_20,type,
sK3: a > a > $o ).
thf(func_def_21,type,
sK4: ( a > $o ) > a ).
thf(func_def_22,type,
sK5: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_23,type,
sK6: ( a > a > $o ) > a > $o ).
thf(func_def_24,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_25,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_26,type,
sK9: ( a > $o ) > ( a > a > $o ) > a ).
thf(f1277,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f268,f605,f667,f922,f1117,f1155,f1208,f1227,f1252,f1272]) ).
thf(f1272,plain,
( spl0_4
| spl0_7
| ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f1271,f540,f284,f291,f278]) ).
thf(f278,definition,
( spl0_4
<=> ! [X0: a] :
( ( sK6 @ sK3 @ X0 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f291,definition,
( spl0_7
<=> ! [X1: a > $o] :
( ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( ( sK2 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f284,definition,
( spl0_6
<=> ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f540,definition,
( spl0_9
<=> ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f1271,plain,
( ! [X0: a,X1: a > $o] :
( ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( ( sK2 @ X1 )
= $false )
| ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false ) )
| ~ spl0_6
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1270,f285]) ).
thf(f285,plain,
( ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f284]) ).
thf(f1270,plain,
( ! [X0: a,X1: a > $o] :
( ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
!= $false )
| ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false )
| ( ( sK2 @ X1 )
= $false ) )
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f271,f541]) ).
thf(f541,plain,
( ( $false
!= ( sK2 @ ( sK6 @ sK3 ) ) )
| spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f540]) ).
thf(f271,plain,
! [X0: a,X1: a > $o] :
( ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( sK2 @ X1 )
= $false )
| ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
!= $false )
| ( ( sK6 @ sK3 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f97,f123]) ).
thf(f123,plain,
! [X2: a > $o,X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 @ X1 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $true
= ( X2 @ X0 ) )
| ( $false
= ( sK2 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f108]) ).
thf(f108,plain,
! [X2: a > $o,X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 @ X1 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $true = $false )
| ( $false
= ( sK2 @ X2 ) )
| ( $true
= ( X2 @ X0 ) ) ),
inference(superposition,[status(thm)],[f78,f27]) ).
thf(f27,plain,
! [X1: a] :
( ( sK3 @ X1 @ X1 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: a] :
( ( ( sK3 @ X1 @ X1 )
& ( sK2 @ ( sK3 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 ) )
@ ( sK3 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( sK2 @ Y2 )
& ( sK2 @ Y3 )
& ( Y2 @ Y1 )
& ( Y3 @ Y1 )
& ( Y2 @ Y0 ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( sK2 @ Y2 )
& ( sK2 @ Y3 )
& ( Y2 @ Y1 )
& ( Y3 @ Y1 )
& ( Y2 @ Y0 ) )
=> ( Y3 @ Y0 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( sK2 @ Y2 )
& ( sK2 @ Y3 )
& ( Y2 @ Y1 )
& ( Y3 @ Y1 )
& ( Y2 @ Y0 ) )
=> ( Y3 @ Y0 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
( $false
= ( ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y4 )
& ( Y3 @ Y2 )
& ( Y4 @ Y2 )
& ( Y3 @ Y1 ) )
=> ( Y4 @ Y1 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( X3 @ X0 )
=> ( X3 @ X1 ) ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X5: a > $o] :
( ( X4 @ X5 )
=> ? [X6: a] : ( X5 @ X6 ) )
& ! [X7: a > $o,X8: a > $o,X9: a,X10: a] :
( ( ( X8 @ X10 )
& ( X7 @ X9 )
& ( X8 @ X9 )
& ( X4 @ X7 )
& ( X4 @ X8 ) )
=> ( X7 @ X10 ) )
& ! [X11: a] :
? [X12: a > $o] :
( ( X4 @ X12 )
& ( X12 @ X11 ) ) )
=> ? [X13: a > a > $o] :
( X4
= ( ^ [X14: a > $o] :
( ! [X15: a] :
( ( X14 @ X15 )
=> ! [X16: a] :
( ( X14 @ X16 )
<=> ( X13 @ X15 @ X16 ) ) )
& ? [X17: a] : ( X14 @ X17 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( X3 @ X0 )
=> ( X3 @ X1 ) ) )
=> ! [X3: ( a > $o ) > $o] :
( ( ! [X0: a > $o] :
( ( X3 @ X0 )
=> ? [X4: a] : ( X0 @ X4 ) )
& ! [X7: a > $o,X0: a > $o,X5: a,X6: a] :
( ( ( X0 @ X6 )
& ( X7 @ X5 )
& ( X0 @ X5 )
& ( X3 @ X7 )
& ( X3 @ X0 ) )
=> ( X7 @ X6 ) )
& ! [X5: a] :
? [X0: a > $o] :
( ( X3 @ X0 )
& ( X0 @ X5 ) ) )
=> ? [X8: a > a > $o] :
( X3
= ( ^ [X9: a > $o] :
( ! [X5: a] :
( ( X9 @ X5 )
=> ! [X6: a] :
( ( X9 @ X6 )
<=> ( X8 @ X5 @ X6 ) ) )
& ? [X4: a] : ( X9 @ X4 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( X3 @ X0 )
=> ( X3 @ X1 ) ) )
=> ! [X3: ( a > $o ) > $o] :
( ( ! [X0: a > $o] :
( ( X3 @ X0 )
=> ? [X4: a] : ( X0 @ X4 ) )
& ! [X7: a > $o,X0: a > $o,X5: a,X6: a] :
( ( ( X0 @ X6 )
& ( X7 @ X5 )
& ( X0 @ X5 )
& ( X3 @ X7 )
& ( X3 @ X0 ) )
=> ( X7 @ X6 ) )
& ! [X5: a] :
? [X0: a > $o] :
( ( X3 @ X0 )
& ( X0 @ X5 ) ) )
=> ? [X8: a > a > $o] :
( X3
= ( ^ [X9: a > $o] :
( ! [X5: a] :
( ( X9 @ X5 )
=> ! [X6: a] :
( ( X9 @ X6 )
<=> ( X8 @ X5 @ X6 ) ) )
& ? [X4: a] : ( X9 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pGYpFgmloW/DTF2THF_5056.p',cTHM262_D_EXT_pme) ).
thf(f78,plain,
! [X2: a > $o,X3: a,X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 @ X3 ) )
| ( $false
= ( sK3 @ X0 @ X1 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $false
= ( sK2 @ X2 ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f75]) ).
thf(f75,plain,
! [X2: a > $o,X3: a,X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 @ X3 ) )
| ( $false
= ( sK2 @ X2 ) )
| ( $false
= ( sK3 @ X0 @ X1 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $true
= ( X2 @ X3 ) )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f26,f40]) ).
thf(f40,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( $false
= ( sK2 @ X3 ) )
| ( $false
= ( X3 @ X2 ) )
| ( ( sK2 @ X4 )
= $false )
| ( $true
= ( X4 @ X1 ) )
| ( $false
= ( X4 @ X2 ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( $true
= ( X4 @ X1 ) )
| ( $false
= ( X3 @ X2 ) )
| ( ( ( sK2 @ X3 )
& ( sK2 @ X4 ) )
= $false )
| ( ( X3 @ X1 )
= $false )
| ( $false
= ( X4 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( ( X3 @ X1 )
= $false )
| ( $true
= ( X4 @ X1 ) )
| ( $false
= ( X4 @ X2 ) )
| ( $false
= ( ( sK2 @ X3 )
& ( sK2 @ X4 )
& ( X3 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( $true
= ( X4 @ X1 ) )
| ( $false
= ( ( sK2 @ X3 )
& ( sK2 @ X4 )
& ( X3 @ X2 )
& ( X4 @ X2 ) ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( $true
= ( X4 @ X1 ) )
| ( $false
= ( ( sK2 @ X3 )
& ( sK2 @ X4 )
& ( X3 @ X2 )
& ( X4 @ X2 )
& ( X3 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( ( ( ( sK2 @ X3 )
& ( sK2 @ X4 )
& ( X3 @ X2 )
& ( X4 @ X2 )
& ( X3 @ X1 ) )
=> ( X4 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: a,X3: a > $o,X1: a,X4: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( sK2 @ X3 )
& ( sK2 @ Y0 )
& ( X3 @ X2 )
& ( Y0 @ X2 )
& ( X3 @ X1 ) )
=> ( Y0 @ X1 ) )
@ X4 ) ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X2: a,X3: a > $o,X1: a] :
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( sK2 @ X3 )
& ( sK2 @ Y0 )
& ( X3 @ X2 )
& ( Y0 @ X2 )
& ( X3 @ X1 ) )
=> ( Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: a,X3: a > $o,X1: a] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( sK2 @ Y0 )
& ( sK2 @ Y1 )
& ( Y0 @ X2 )
& ( Y1 @ X2 )
& ( Y0 @ X1 ) )
=> ( Y1 @ X1 ) ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( sK2 @ Y0 )
& ( sK2 @ Y1 )
& ( Y0 @ X2 )
& ( Y1 @ X2 )
& ( Y0 @ X1 ) )
=> ( Y1 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( sK2 @ Y1 )
& ( sK2 @ Y2 )
& ( Y1 @ Y0 )
& ( Y2 @ Y0 )
& ( Y1 @ X1 ) )
=> ( Y2 @ X1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( sK2 @ Y1 )
& ( sK2 @ Y2 )
& ( Y1 @ Y0 )
& ( Y2 @ Y0 )
& ( Y1 @ X1 ) )
=> ( Y2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( sK2 @ Y2 )
& ( sK2 @ Y3 )
& ( Y2 @ Y1 )
& ( Y3 @ Y1 )
& ( Y2 @ Y0 ) )
=> ( Y3 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( sK2 @ Y2 )
& ( sK2 @ Y3 )
& ( Y2 @ Y1 )
& ( Y3 @ Y1 )
& ( Y2 @ Y0 ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f26,plain,
! [X1: a] :
( $true
= ( sK2 @ ( sK3 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f97,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK6 @ X1 @ ( sK8 @ X1 ) )
!= ( X1 @ ( sK7 @ X1 ) @ ( sK8 @ X1 ) ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( $false
= ( sK6 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f96]) ).
thf(f96,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( $false
= ( ( sK6 @ X1 @ ( sK8 @ X1 ) )
= ( X1 @ ( sK7 @ X1 ) @ ( sK8 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f95]) ).
thf(f95,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ ( sK7 @ X1 ) @ Y0 ) )
@ ( sK8 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f93]) ).
thf(f93,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ ( sK7 @ X1 ) @ Y0 ) ) ) )
| ( $false
= ( sK6 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f92]) ).
thf(f92,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( ( ( sK6 @ X1 @ ( sK7 @ X1 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ ( sK7 @ X1 ) @ Y0 ) ) ) )
= $false )
| ( $false
= ( sK6 @ X1 @ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f91]) ).
thf(f91,plain,
! [X1: a > a > $o] :
( ( ( ?? @ a @ ( sK6 @ X1 ) )
= $false )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( ( ( sK6 @ X1 @ ( sK7 @ X1 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ ( sK7 @ X1 ) @ Y0 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f90]) ).
thf(f90,plain,
! [X1: a > a > $o] :
( ( $false
= ( ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK7 @ X1 ) ) )
| ( ( ?? @ a @ ( sK6 @ X1 ) )
= $false )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f89]) ).
thf(f89,plain,
! [X1: a > a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( ?? @ a @ ( sK6 @ X1 ) )
= $false )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f82]) ).
thf(f82,plain,
! [X1: a > a > $o] :
( ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( $false
= ( ( ?? @ a @ ( sK6 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f73]) ).
thf(f73,plain,
! [X1: a > a > $o] :
( ( sK2 @ ( sK6 @ X1 ) )
!= ( ( ?? @ a @ ( sK6 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f72]) ).
thf(f72,plain,
! [X1: a > a > $o] :
( ( sK2 @ ( sK6 @ X1 ) )
!= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) ) )
@ ( sK6 @ X1 ) ) ),
inference(negative_extensionality,[status(thm)],[f17]) ).
thf(f17,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) ) ) )
!= sK2 ),
inference(equality_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
! [X1: a > a > $o] :
( $false
= ( sK2
= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( X1 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f1252,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f1251,f249,f278]) ).
thf(f249,definition,
( spl0_2
<=> ( $true
= ( sK2 @ ( sK6 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f1251,plain,
( ! [X0: a] :
( ( sK6 @ sK3 @ X0 )
= $false )
| spl0_2 ),
inference(subsumption_resolution,[status(thm)],[f389,f250]) ).
thf(f250,plain,
( ( $true
!= ( sK2 @ ( sK6 @ sK3 ) ) )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f249]) ).
thf(f389,plain,
! [X0: a] :
( ( $true
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f374]) ).
thf(f374,plain,
! [X0: a] :
( ( $true
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $true
= ( sK2 @ ( sK6 @ sK3 ) ) ) ),
inference(superposition,[status(thm)],[f26,f203]) ).
thf(f203,plain,
! [X2: a,X1: a > a > $o] :
( ( ( X1 @ X2 )
= ( sK6 @ X1 ) )
| ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true ) ),
inference(negative_extensionality,[status(thm)],[f106]) ).
thf(f106,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( ( X1 @ X2 @ X3 )
= ( sK6 @ X1 @ X3 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( $false
= ( sK6 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f105]) ).
thf(f105,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( ( ( sK6 @ X1 @ X3 )
= ( X1 @ X2 @ X3 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f104]) ).
thf(f104,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( $true
= ( ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f103]) ).
thf(f103,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f102]) ).
thf(f102,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( $true
= ( ( sK6 @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
= ( X1 @ X2 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f101]) ).
thf(f101,plain,
! [X2: a,X1: a > a > $o] :
( ( ( ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true ) ),
inference(pi_clausification,[status(thm)],[f99]) ).
thf(f99,plain,
! [X1: a > a > $o] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f81]) ).
thf(f81,plain,
! [X1: a > a > $o] :
( ( ( sK2 @ ( sK6 @ X1 ) )
= $true )
| ( $true
= ( ( ?? @ a @ ( sK6 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X1 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f73]) ).
thf(f1227,plain,
( spl0_4
| spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[status(thm)],[f1226,f1159,f540,f278]) ).
thf(f1159,definition,
( spl0_25
<=> ( $false
= ( sK6 @ sK3 @ ( sK7 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition]) ).
thf(f1226,plain,
( ! [X0: a] :
( ( sK6 @ sK3 @ X0 )
= $false )
| spl0_9
| ~ spl0_25 ),
inference(subsumption_resolution,[status(thm)],[f1222,f541]) ).
thf(f1222,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[status(thm)],[f1220]) ).
thf(f1220,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( $true = $false ) )
| ~ spl0_25 ),
inference(superposition,[status(thm)],[f94,f1161]) ).
thf(f1161,plain,
( ( $false
= ( sK6 @ sK3 @ ( sK7 @ sK3 ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[status(thm)],[f1159]) ).
thf(f94,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( sK6 @ X1 @ ( sK7 @ X1 ) ) )
| ( $false
= ( sK6 @ X1 @ X2 ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f92]) ).
thf(f1208,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f1207,f540,f291,f284,f1159]) ).
thf(f1207,plain,
( ( $false
= ( sK6 @ sK3 @ ( sK7 @ sK3 ) ) )
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1203,f541]) ).
thf(f1203,plain,
( ( $false
= ( sK6 @ sK3 @ ( sK7 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1200]) ).
thf(f1200,plain,
( ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( $false
= ( sK6 @ sK3 @ ( sK7 @ sK3 ) ) )
| ( $true = $false )
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f285,f1036]) ).
thf(f1036,plain,
( ! [X0: a > $o] :
( ( $true
= ( X0 @ ( sK8 @ sK3 ) ) )
| ( ( sK2 @ X0 )
= $false )
| ( ( X0 @ ( sK7 @ sK3 ) )
= $false ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1028]) ).
thf(f1028,plain,
( ! [X0: a > $o] :
( ( $true = $false )
| ( ( sK2 @ X0 )
= $false )
| ( $true
= ( X0 @ ( sK8 @ sK3 ) ) )
| ( ( X0 @ ( sK7 @ sK3 ) )
= $false ) )
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f123,f977]) ).
thf(f977,plain,
( ( $true
= ( sK3 @ ( sK8 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f976]) ).
thf(f976,plain,
( ( $true
= ( sK3 @ ( sK8 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( $true = $false )
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f972,f26]) ).
thf(f972,plain,
( ( $true
= ( sK3 @ ( sK8 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( ( sK2 @ ( sK3 @ ( sK8 @ sK3 ) ) )
= $false )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f962]) ).
thf(f962,plain,
( ( $true = $false )
| ( ( sK2 @ ( sK3 @ ( sK8 @ sK3 ) ) )
= $false )
| ( $true
= ( sK3 @ ( sK8 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f27,f292]) ).
thf(f292,plain,
( ! [X1: a > $o] :
( ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f291]) ).
thf(f1155,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[status(thm)],[f1154]) ).
thf(f1154,plain,
( $false
| ~ spl0_24 ),
inference(trivial_inequality_removal,[status(thm)],[f1144]) ).
thf(f1144,plain,
( ( $true = $false )
| ~ spl0_24 ),
inference(superposition,[status(thm)],[f27,f1105]) ).
thf(f1105,plain,
( ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[status(thm)],[f1103]) ).
thf(f1103,definition,
( spl0_24
<=> ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition]) ).
thf(f1117,plain,
( spl0_4
| spl0_24
| spl0_6
| ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f1116,f540,f291,f284,f1103,f278]) ).
thf(f1116,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) ) )
| spl0_6
| ~ spl0_7
| spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1115]) ).
thf(f1115,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( $true = $false ) )
| spl0_6
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1114,f26]) ).
thf(f1114,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK2 @ ( sK3 @ ( sK7 @ sK3 ) ) ) ) )
| spl0_6
| ~ spl0_7
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1113,f286]) ).
thf(f286,plain,
( ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
!= $false )
| spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f284]) ).
thf(f1113,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
= $false )
| ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK3 @ ( sK7 @ sK3 ) ) ) ) )
| ~ spl0_7
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1078,f541]) ).
thf(f1078,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
= $false )
| ( $false
= ( sK2 @ ( sK3 @ ( sK7 @ sK3 ) ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1062]) ).
thf(f1062,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ ( sK3 @ ( sK7 @ sK3 ) ) ) )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK3 @ ( sK7 @ sK3 ) @ ( sK7 @ sK3 ) ) )
| ( $true = $false )
| ( ( sK6 @ sK3 @ ( sK8 @ sK3 ) )
= $false ) )
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f1036,f270]) ).
thf(f270,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( X1 @ ( sK7 @ X1 ) @ ( sK8 @ X1 ) ) )
| ( ( sK2 @ ( sK6 @ X1 ) )
= $false )
| ( ( sK6 @ X1 @ ( sK8 @ X1 ) )
= $false )
| ( $false
= ( sK6 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f97]) ).
thf(f922,plain,
( spl0_7
| spl0_4
| ~ spl0_1
| spl0_6
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f921,f540,f284,f246,f278,f291]) ).
thf(f246,definition,
( spl0_1
<=> ! [X2: a > $o,X0: a,X1: a] :
( ( ( sK6 @ sK3 @ X1 )
= $false )
| ( $true
= ( X2 @ X0 ) )
| ( $false
= ( X2 @ X1 ) )
| ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK2 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f921,plain,
( ! [X0: a,X1: a > $o] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( ( sK2 @ X1 )
= $false )
| ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( X1 @ ( sK7 @ sK3 ) )
= $true ) )
| ~ spl0_1
| spl0_6
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f898,f541]) ).
thf(f898,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( sK2 @ X1 )
= $false )
| ( ( sK6 @ sK3 @ X0 )
= $false ) )
| ~ spl0_1
| spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f887]) ).
thf(f887,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( X1 @ ( sK8 @ sK3 ) ) )
| ( $true = $false )
| ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ( ( X1 @ ( sK7 @ sK3 ) )
= $true )
| ( ( sK2 @ X1 )
= $false )
| ( ( sK6 @ sK3 @ X0 )
= $false ) )
| ~ spl0_1
| spl0_6 ),
inference(superposition,[status(thm)],[f94,f529]) ).
thf(f529,plain,
( ! [X0: a > $o,X1: a] :
( ( ( sK6 @ sK3 @ X1 )
= $false )
| ( ( sK2 @ X0 )
= $false )
| ( $true
= ( X0 @ X1 ) )
| ( ( X0 @ ( sK8 @ sK3 ) )
= $false ) )
| ~ spl0_1
| spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f505]) ).
thf(f505,plain,
( ! [X0: a > $o,X1: a] :
( ( ( sK2 @ X0 )
= $false )
| ( $true
= ( X0 @ X1 ) )
| ( $false != $false )
| ( ( sK6 @ sK3 @ X1 )
= $false )
| ( ( X0 @ ( sK8 @ sK3 ) )
= $false ) )
| ~ spl0_1
| spl0_6 ),
inference(superposition,[status(thm)],[f286,f247]) ).
thf(f247,plain,
( ! [X2: a > $o,X0: a,X1: a] :
( ( ( sK6 @ sK3 @ X1 )
= $false )
| ( $true
= ( X2 @ X0 ) )
| ( $false
= ( sK2 @ X2 ) )
| ( $false
= ( X2 @ X1 ) )
| ( ( sK6 @ sK3 @ X0 )
= $false ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f246]) ).
thf(f667,plain,
( spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f666,f540,f278]) ).
thf(f666,plain,
( ! [X0: a] :
( ( sK6 @ sK3 @ X0 )
= $false )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f665]) ).
thf(f665,plain,
( ! [X0: a] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f389,f542]) ).
thf(f542,plain,
( ( $false
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f540]) ).
thf(f605,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[status(thm)],[f604]) ).
thf(f604,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f575]) ).
thf(f575,plain,
( ( $true = $false )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f279,f139]) ).
thf(f139,plain,
! [X0: a > a > $o] :
( $true
= ( sK6 @ X0 @ ( sK4 @ ( sK6 @ X0 ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f136,f44]) ).
thf(f44,plain,
! [X1: a > $o] :
( ( $true
= ( X1 @ ( sK4 @ X1 ) ) )
| ( ( sK2 @ X1 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X1: a > $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( ?? @ a @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
! [X1: a > $o] :
( $true
= ( ( sK2 @ X1 )
=> ( ?? @ a @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f41]) ).
thf(f41,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f136,plain,
! [X0: a > a > $o] :
( ( $false
!= ( sK2 @ ( sK6 @ X0 ) ) )
| ( $true
= ( sK6 @ X0 @ ( sK4 @ ( sK6 @ X0 ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f88]) ).
thf(f88,plain,
! [X0: a > a > $o,X1: a > $o] :
( ( ( sK6 @ X0 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) )
!= ( X1 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) ) )
| ( $true
= ( X1 @ ( sK4 @ X1 ) ) )
| ( $false
!= ( sK2 @ ( sK6 @ X0 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f87]) ).
thf(f87,plain,
! [X0: a > a > $o,X1: a > $o] :
( ( ( sK6 @ X0 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) )
!= ( X1 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) ) )
| ( $false
!= ( sK2 @ ( sK6 @ X0 ) ) )
| ( $true
= ( ?? @ a @ X1 ) ) ),
inference(boolean_simplification,[status(thm)],[f84]) ).
thf(f84,plain,
! [X0: a > a > $o,X1: a > $o] :
( ( ( $false
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ X0 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ X0 @ Y1 )
= ( X0 @ Y0 @ Y1 ) ) ) ) ) )
!= ( sK2 @ ( sK6 @ X0 ) ) )
| ( $true
= ( ?? @ a @ X1 ) )
| ( ( sK6 @ X0 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) )
!= ( X1 @ ( sK5 @ X1 @ ( sK6 @ X0 ) ) ) ) ),
inference(superposition,[status(thm)],[f73,f55]) ).
thf(f55,plain,
! [X2: a > $o,X3: ( a > $o ) > $o,X1: a > $o] :
( ( $false
= ( X3 @ X2 ) )
| ( ( X3 @ X1 )
= $true )
| ( ( X2 @ ( sK5 @ X1 @ X2 ) )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: a > $o,X3: ( a > $o ) > $o,X1: a > $o] :
( ( ( X2 @ ( sK5 @ X1 @ X2 ) )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ( X3 @ X2 )
=> ( X3 @ X1 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: a > $o,X3: ( a > $o ) > $o,X1: a > $o] :
( ( $false
= ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) )
| ( $true
= ( ( X3 @ X2 )
=> ( X3 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: a > $o,X3: ( a > $o ) > $o,X1: a > $o] :
( ( $false
= ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) )
| ( $true
= ( ^ [Y0: ( a > $o ) > $o] :
( ( Y0 @ X2 )
=> ( Y0 @ X1 ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( Y0 @ X2 )
=> ( Y0 @ X1 ) ) ) )
| ( $false
= ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( Y0 @ X2 )
=> ( Y0 @ X1 ) ) ) )
| ( ( ^ [Y0: a] :
( ( X2 @ Y0 )
= ( X1 @ Y0 ) )
@ ( sK5 @ X1 @ X2 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
= ( X1 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( Y0 @ X2 )
=> ( Y0 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
= ( X1 @ Y0 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( Y0 @ X2 )
=> ( Y0 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: a > $o,X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
= ( X1 @ Y1 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( Y1 @ Y0 )
=> ( Y1 @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
= ( X1 @ Y1 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( Y1 @ Y0 )
=> ( Y1 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f45]) ).
thf(f45,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( Y2 @ Y1 )
=> ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f279,plain,
( ! [X0: a] :
( ( sK6 @ sK3 @ X0 )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f278]) ).
thf(f268,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f265,f249,f246]) ).
thf(f265,plain,
( ! [X2: a,X0: a,X1: a > $o] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( X1 @ X0 ) )
| ( $false
= ( sK6 @ sK3 @ X2 ) )
| ( ( X1 @ X2 )
= $true )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f259]) ).
thf(f259,plain,
( ! [X2: a,X0: a,X1: a > $o] :
( ( ( sK6 @ sK3 @ X0 )
= $false )
| ( $false
= ( sK6 @ sK3 @ X2 ) )
| ( ( X1 @ X2 )
= $true )
| ( $true = $false )
| ( $false
= ( X1 @ X0 ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f251,f40]) ).
thf(f251,plain,
( ( $true
= ( sK2 @ ( sK6 @ sK3 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV023^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Feb 24 12:38:33 EST 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.44 ---- Original DTF file ---
% 0.17/0.45 thf(spec,logic,$$dhol).
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 % File : SEV023^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.45 % Domain : Set Theory (Relations)
% 0.17/0.45 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.17/0.45 % Version : Especial.
% 0.17/0.45 % English :
% 0.17/0.45
% 0.17/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.45 % Source : [Bro09]
% 0.17/0.45 % Names : tps_1090 [Bro09]
% 0.17/0.45
% 0.17/0.45 % Status : Theorem
% 0.17/0.45 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.69 v8.1.0, 0.73 v7.5.0, 1.00 v4.0.0
% 0.17/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.17/0.45 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.17/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.17/0.45 % Number of connectives : 35 ( 0 ~; 0 |; 8 &; 19 @)
% 0.17/0.45 % ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% 0.17/0.45 % Maximal formula depth : 16 ( 16 avg)
% 0.17/0.45 % Number of types : 2 ( 1 usr)
% 0.17/0.45 % Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% 0.17/0.45 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.17/0.45 % Number of variables : 18 ( 1 ^; 13 !; 4 ?; 18 :)
% 0.17/0.45 % SPC : TH0_THM_EQU_NAR
% 0.17/0.45
% 0.17/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 thf(a_type,type,
% 0.17/0.45 a: $tType ).
% 0.17/0.45
% 0.17/0.45 thf(cTHM262_D_EXT_pme,conjecture,
% 0.17/0.45 ( ! [Xp: a > $o,Xa: a > $o] :
% 0.17/0.45 ( ! [Xb: a] :
% 0.17/0.45 ( ( Xp @ Xb )
% 0.17/0.45 = ( Xa @ Xb ) )
% 0.17/0.45 => ! [P: ( a > $o ) > $o] :
% 0.17/0.45 ( ( P @ Xp )
% 0.17/0.45 => ( P @ Xa ) ) )
% 0.17/0.45 => ! [P: ( a > $o ) > $o] :
% 0.17/0.45 ( ( ! [Xp: a > $o] :
% 0.17/0.45 ( ( P @ Xp )
% 0.17/0.45 => ? [Xz: a] : ( Xp @ Xz ) )
% 0.17/0.45 & ! [Xx: a] :
% 0.17/0.45 ? [Xp: a > $o] :
% 0.17/0.45 ( ( P @ Xp )
% 0.17/0.45 & ( Xp @ Xx ) )
% 0.17/0.45 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 0.17/0.45 ( ( ( P @ Xp )
% 0.17/0.45 & ( P @ Xq )
% 0.17/0.45 & ( Xp @ Xx )
% 0.17/0.45 & ( Xq @ Xx )
% 0.17/0.45 & ( Xp @ Xy ) )
% 0.17/0.45 => ( Xq @ Xy ) ) )
% 0.17/0.45 => ? [Q: a > a > $o] :
% 0.17/0.45 ( ( ^ [Xs: a > $o] :
% 0.17/0.45 ( ? [Xz: a] : ( Xs @ Xz )
% 0.17/0.45 & ! [Xx: a] :
% 0.17/0.45 ( ( Xs @ Xx )
% 0.17/0.45 => ! [Xy: a] :
% 0.17/0.45 ( ( Xs @ Xy )
% 0.17/0.45 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 0.17/0.45 = P ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 ------------------------
% 1.45/1.22 ---- Embedded in THF ---
% 1.45/1.22 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.22 %%% Generated on Tue Feb 24 12:38:34 EST 2026
% 1.45/1.22 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.22 %%% Logic specification used:
% 1.45/1.22 %%% thf(spec, logic, $$dhol).
% 1.45/1.22
% 1.45/1.22 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.pGYpFgmloW/DTF2DTF5056.p
% See solution above
% 1.45/1.22 ------------------------
% 1.45/1.23 ---- Cleaned THF ---
% 1.45/1.23 thf(a_type,type,
% 1.45/1.23 a: $tType ).
% 1.45/1.23
% 1.45/1.23 thf(cTHM262_D_EXT_pme,conjecture,
% 1.45/1.23 ( ! [Xp: a > $o,Xa: a > $o] :
% 1.45/1.23 ( ! [Xb: a] :
% 1.45/1.23 ( ( Xp @ Xb )
% 1.45/1.23 = ( Xa @ Xb ) )
% 1.45/1.23 => ! [P: ( a > $o ) > $o] :
% 1.45/1.23 ( ( P @ Xp )
% 1.45/1.23 => ( P @ Xa ) ) )
% 1.45/1.23 => ! [P: ( a > $o ) > $o] :
% 1.45/1.23 ( ( ! [Xp: a > $o] :
% 1.45/1.23 ( ( P @ Xp )
% 1.45/1.23 => ? [Xz: a] : ( Xp @ Xz ) )
% 1.45/1.23 & ! [Xx: a] :
% 1.45/1.23 ? [Xp: a > $o] :
% 1.45/1.23 ( ( P @ Xp )
% 1.45/1.23 & ( Xp @ Xx ) )
% 1.45/1.23 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 1.45/1.23 ( ( ( P @ Xp )
% 1.45/1.23 & ( P @ Xq )
% 1.45/1.23 & ( Xp @ Xx )
% 1.45/1.23 & ( Xq @ Xx )
% 1.45/1.23 & ( Xp @ Xy ) )
% 1.45/1.23 => ( Xq @ Xy ) ) )
% 1.45/1.23 => ? [Q: a > a > $o] :
% 1.45/1.23 ( ( ^ [Xs: a > $o] :
% 1.45/1.23 ( ? [Xz: a] : ( Xs @ Xz )
% 1.45/1.23 & ! [Xx: a] :
% 1.45/1.23 ( ( Xs @ Xx )
% 1.45/1.23 => ! [Xy: a] :
% 1.45/1.23 ( ( Xs @ Xy )
% 1.45/1.23 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 1.45/1.23 = P ) ) ) ).
% 1.45/1.23 ------------------------
% 1.45/1.24 % (5153)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/183Mi)
% 1.45/1.25 % (5155)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_5056 for (2999ds/27Mi)
% 1.45/1.25 % (5158)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_5056 for (2999ds/275Mi)
% 1.45/1.25 % (5156)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/2Mi)
% 1.45/1.25 % (5157)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_5056 for (2999ds/2Mi)
% 1.45/1.25 % (5156)Instruction limit reached!
% 1.45/1.25 % (5156)------------------------------
% 1.45/1.25 % (5156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.25 % (5156)Termination reason: Unknown
% 1.45/1.25 % (5156)Termination phase: Property scanning
% 1.45/1.25
% 1.45/1.25 % (5156)Memory used [KB]: 1023
% 1.45/1.25 % (5156)Time elapsed: 0.003 s
% 1.45/1.25 % (5156)Instructions burned: 2 (million)
% 1.45/1.25 % (5156)------------------------------
% 1.45/1.25 % (5156)------------------------------
% 1.45/1.25 % (5157)Instruction limit reached!
% 1.45/1.25 % (5157)------------------------------
% 1.45/1.25 % (5157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.25 % (5157)Termination reason: Unknown
% 1.45/1.25 % (5157)Termination phase: Saturation
% 1.45/1.25
% 1.45/1.25 % (5157)Memory used [KB]: 5500
% 1.45/1.25 % (5157)Time elapsed: 0.003 s
% 1.45/1.25 % (5157)Instructions burned: 3 (million)
% 1.45/1.25 % (5157)------------------------------
% 1.45/1.25 % (5157)------------------------------
% 1.45/1.25 % (5159)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/18Mi)
% 1.45/1.25 % (5154)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_5056 for (2999ds/4Mi)
% 1.45/1.25 % (5154)Instruction limit reached!
% 1.45/1.25 % (5154)------------------------------
% 1.45/1.25 % (5154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.25 % (5154)Termination reason: Unknown
% 1.45/1.25 % (5154)Termination phase: Saturation
% 1.45/1.25
% 1.45/1.25 % (5154)Memory used [KB]: 5500
% 1.45/1.25 % (5154)Time elapsed: 0.004 s
% 1.45/1.25 % (5154)Instructions burned: 4 (million)
% 1.45/1.25 % (5154)------------------------------
% 1.45/1.25 % (5154)------------------------------
% 1.45/1.26 % (5159)Instruction limit reached!
% 1.45/1.26 % (5159)------------------------------
% 1.45/1.26 % (5159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.26 % (5159)Termination reason: Unknown
% 1.45/1.26 % (5159)Termination phase: Saturation
% 1.45/1.26
% 1.45/1.26 % (5159)Memory used [KB]: 5628
% 1.45/1.26 % (5159)Time elapsed: 0.012 s
% 1.45/1.26 % (5159)Instructions burned: 18 (million)
% 1.45/1.26 % (5159)------------------------------
% 1.45/1.26 % (5159)------------------------------
% 1.45/1.26 % (5155)Instruction limit reached!
% 1.45/1.26 % (5155)------------------------------
% 1.45/1.26 % (5155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.26 % (5155)Termination reason: Unknown
% 1.45/1.26 % (5155)Termination phase: Saturation
% 1.45/1.26
% 1.45/1.26 % (5155)Memory used [KB]: 5628
% 1.45/1.26 % (5155)Time elapsed: 0.017 s
% 1.45/1.26 % (5155)Instructions burned: 28 (million)
% 1.45/1.26 % (5155)------------------------------
% 1.45/1.26 % (5155)------------------------------
% 1.45/1.26 % (5160)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/3Mi)
% 1.45/1.26 % (5161)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_5056 for (2999ds/37Mi)
% 1.45/1.26 % (5160)Instruction limit reached!
% 1.45/1.26 % (5160)------------------------------
% 1.45/1.26 % (5160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.26 % (5160)Termination reason: Unknown
% 1.45/1.26 % (5160)Termination phase: Saturation
% 1.45/1.26
% 1.45/1.26 % (5160)Memory used [KB]: 5500
% 1.45/1.26 % (5160)Time elapsed: 0.004 s
% 1.45/1.26 % (5160)Instructions burned: 3 (million)
% 1.45/1.26 % (5160)------------------------------
% 1.45/1.26 % (5160)------------------------------
% 1.45/1.27 % (5162)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_5056 for (2999ds/15Mi)
% 1.45/1.28 % (5163)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_5056 for (2999ds/3Mi)
% 1.45/1.28 % (5164)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_5056 for (2999ds/1041Mi)
% 1.45/1.28 % (5163)Instruction limit reached!
% 1.45/1.28 % (5163)------------------------------
% 1.45/1.28 % (5163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (5163)Termination reason: Unknown
% 1.45/1.28 % (5163)Termination phase: Saturation
% 1.45/1.28
% 1.45/1.28 % (5163)Memory used [KB]: 5500
% 1.45/1.28 % (5163)Time elapsed: 0.004 s
% 1.45/1.28 % (5163)Instructions burned: 3 (million)
% 1.45/1.28 % (5163)------------------------------
% 1.45/1.28 % (5163)------------------------------
% 1.45/1.28 % (5165)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/7Mi)
% 1.45/1.28 % (5162)Instruction limit reached!
% 1.45/1.28 % (5162)------------------------------
% 1.45/1.28 % (5162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (5162)Termination reason: Unknown
% 1.45/1.28 % (5162)Termination phase: Saturation
% 1.45/1.28
% 1.45/1.28 % (5162)Memory used [KB]: 5628
% 1.45/1.28 % (5162)Time elapsed: 0.012 s
% 1.45/1.28 % (5162)Instructions burned: 15 (million)
% 1.45/1.28 % (5162)------------------------------
% 1.45/1.28 % (5162)------------------------------
% 1.45/1.28 % (5161)Instruction limit reached!
% 1.45/1.28 % (5161)------------------------------
% 1.45/1.28 % (5161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (5161)Termination reason: Unknown
% 1.45/1.28 % (5161)Termination phase: Saturation
% 1.45/1.28
% 1.45/1.28 % (5161)Memory used [KB]: 6012
% 1.45/1.28 % (5161)Time elapsed: 0.020 s
% 1.45/1.28 % (5161)Instructions burned: 38 (million)
% 1.45/1.28 % (5161)------------------------------
% 1.45/1.28 % (5161)------------------------------
% 1.45/1.28 % (5165)Instruction limit reached!
% 1.45/1.28 % (5165)------------------------------
% 1.45/1.28 % (5165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (5165)Termination reason: Unknown
% 1.45/1.28 % (5165)Termination phase: Saturation
% 1.45/1.28
% 1.45/1.28 % (5165)Memory used [KB]: 1023
% 1.45/1.28 % (5165)Time elapsed: 0.006 s
% 1.45/1.28 % (5165)Instructions burned: 8 (million)
% 1.45/1.28 % (5165)------------------------------
% 1.45/1.28 % (5165)------------------------------
% 1.45/1.30 % (5166)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/16Mi)
% 1.51/1.30 % (5153)Instruction limit reached!
% 1.51/1.30 % (5153)------------------------------
% 1.51/1.30 % (5153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30 % (5153)Termination reason: Unknown
% 1.51/1.30 % (5153)Termination phase: Saturation
% 1.51/1.30
% 1.51/1.30 % (5153)Memory used [KB]: 6652
% 1.51/1.30 % (5153)Time elapsed: 0.059 s
% 1.51/1.30 % (5153)Instructions burned: 185 (million)
% 1.51/1.30 % (5153)------------------------------
% 1.51/1.30 % (5153)------------------------------
% 1.51/1.30 % (5169)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/7Mi)
% 1.51/1.30 % (5168)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_5056 for (2999ds/3Mi)
% 1.51/1.30 % (5167)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_5056 for (2999ds/3Mi)
% 1.51/1.30 % (5168)Instruction limit reached!
% 1.51/1.30 % (5168)------------------------------
% 1.51/1.30 % (5168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30 % (5168)Termination reason: Unknown
% 1.51/1.30 % (5168)Termination phase: Saturation
% 1.51/1.30
% 1.51/1.30 % (5168)Memory used [KB]: 1023
% 1.51/1.30 % (5168)Time elapsed: 0.004 s
% 1.51/1.30 % (5167)Instruction limit reached!
% 1.51/1.30 % (5167)------------------------------
% 1.51/1.30 % (5167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30 % (5168)Instructions burned: 4 (million)
% 1.51/1.30 % (5168)------------------------------
% 1.51/1.30 % (5168)------------------------------
% 1.51/1.30 % (5167)Termination reason: Unknown
% 1.51/1.30 % (5167)Termination phase: Twee Goal Transformation
% 1.51/1.30
% 1.51/1.30 % (5167)Memory used [KB]: 1023
% 1.51/1.30 % (5167)Time elapsed: 0.003 s
% 1.51/1.30 % (5167)Instructions burned: 3 (million)
% 1.51/1.30 % (5167)------------------------------
% 1.51/1.30 % (5167)------------------------------
% 1.51/1.30 % (5169)Instruction limit reached!
% 1.51/1.30 % (5169)------------------------------
% 1.51/1.30 % (5169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30 % (5169)Termination reason: Unknown
% 1.51/1.30 % (5169)Termination phase: Saturation
% 1.51/1.30
% 1.51/1.30 % (5169)Memory used [KB]: 5500
% 1.51/1.30 % (5169)Time elapsed: 0.006 s
% 1.51/1.30 % (5169)Instructions burned: 7 (million)
% 1.51/1.30 % (5169)------------------------------
% 1.51/1.30 % (5169)------------------------------
% 1.51/1.30 % (5166)Instruction limit reached!
% 1.51/1.30 % (5166)------------------------------
% 1.51/1.30 % (5166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30 % (5166)Termination reason: Unknown
% 1.51/1.30 % (5166)Termination phase: Saturation
% 1.51/1.31
% 1.51/1.31 % (5166)Memory used [KB]: 5628
% 1.51/1.31 % (5166)Time elapsed: 0.012 s
% 1.51/1.31 % (5166)Instructions burned: 16 (million)
% 1.51/1.31 % (5166)------------------------------
% 1.51/1.31 % (5166)------------------------------
% 1.51/1.31 % (5170)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/3Mi)
% 1.51/1.31 % (5170)Instruction limit reached!
% 1.51/1.31 % (5170)------------------------------
% 1.51/1.31 % (5170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.31 % (5170)Termination reason: Unknown
% 1.51/1.31 % (5170)Termination phase: Saturation
% 1.51/1.31
% 1.51/1.31 % (5170)Memory used [KB]: 5500
% 1.51/1.31 % (5170)Time elapsed: 0.003 s
% 1.51/1.31 % (5170)Instructions burned: 5 (million)
% 1.51/1.31 % (5170)------------------------------
% 1.51/1.31 % (5170)------------------------------
% 1.51/1.32 % (5171)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/4Mi)
% 1.51/1.32 % (5172)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/18Mi)
% 1.51/1.32 % (5171)Instruction limit reached!
% 1.51/1.32 % (5171)------------------------------
% 1.51/1.32 % (5171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.32 % (5171)Termination reason: Unknown
% 1.51/1.32 % (5171)Termination phase: Saturation
% 1.51/1.32
% 1.51/1.32 % (5171)Memory used [KB]: 5500
% 1.51/1.32 % (5171)Time elapsed: 0.005 s
% 1.51/1.32 % (5171)Instructions burned: 5 (million)
% 1.51/1.32 % (5171)------------------------------
% 1.51/1.32 % (5171)------------------------------
% 1.51/1.32 % (5173)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/710Mi)
% 1.51/1.32 % (5174)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/6Mi)
% 1.51/1.32 % (5175)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_5056 for (2999ds/902Mi)
% 1.51/1.33 % (5174)Instruction limit reached!
% 1.51/1.33 % (5174)------------------------------
% 1.51/1.33 % (5174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.33 % (5174)Termination reason: Unknown
% 1.51/1.33 % (5174)Termination phase: Saturation
% 1.51/1.33
% 1.51/1.33 % (5174)Memory used [KB]: 5500
% 1.51/1.33 % (5174)Time elapsed: 0.006 s
% 1.51/1.33 % (5174)Instructions burned: 7 (million)
% 1.51/1.33 % (5174)------------------------------
% 1.51/1.33 % (5174)------------------------------
% 1.51/1.33 % (5172)Instruction limit reached!
% 1.51/1.33 % (5172)------------------------------
% 1.51/1.33 % (5172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.33 % (5172)Termination reason: Unknown
% 1.51/1.33 % (5172)Termination phase: Saturation
% 1.51/1.33
% 1.51/1.33 % (5172)Memory used [KB]: 5628
% 1.51/1.33 % (5172)Time elapsed: 0.011 s
% 1.51/1.33 % (5172)Instructions burned: 19 (million)
% 1.51/1.33 % (5172)------------------------------
% 1.51/1.33 % (5172)------------------------------
% 1.51/1.33 % (5176)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_5056 for (2999ds/21Mi)
% 1.51/1.34 % (5176)Instruction limit reached!
% 1.51/1.34 % (5176)------------------------------
% 1.51/1.34 % (5176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.34 % (5176)Termination reason: Unknown
% 1.51/1.34 % (5176)Termination phase: Saturation
% 1.51/1.34
% 1.51/1.34 % (5176)Memory used [KB]: 5628
% 1.51/1.34 % (5176)Time elapsed: 0.009 s
% 1.51/1.34 % (5176)Instructions burned: 21 (million)
% 1.51/1.34 % (5176)------------------------------
% 1.51/1.34 % (5176)------------------------------
% 1.51/1.34 % (5178)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_5056 for (2999ds/6Mi)
% 1.51/1.35 % (5178)Instruction limit reached!
% 1.51/1.35 % (5178)------------------------------
% 1.51/1.35 % (5178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.35 % (5178)Termination reason: Unknown
% 1.51/1.35 % (5178)Termination phase: Saturation
% 1.51/1.35
% 1.51/1.35 % (5178)Memory used [KB]: 5500
% 1.51/1.35 % (5178)Time elapsed: 0.005 s
% 1.51/1.35 % (5178)Instructions burned: 7 (million)
% 1.51/1.35 % (5178)------------------------------
% 1.51/1.35 % (5178)------------------------------
% 1.51/1.35 % (5177)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/5Mi)
% 1.51/1.35 % (5179)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5056 for (2999ds/377Mi)
% 1.51/1.35 % (5177)Instruction limit reached!
% 1.51/1.35 % (5177)------------------------------
% 1.51/1.35 % (5177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.35 % (5177)Termination reason: Unknown
% 1.51/1.35 % (5177)Termination phase: Saturation
% 1.51/1.35
% 1.51/1.35 % (5177)Memory used [KB]: 5500
% 1.51/1.35 % (5177)Time elapsed: 0.005 s
% 1.51/1.35 % (5177)Instructions burned: 6 (million)
% 1.51/1.35 % (5177)------------------------------
% 1.51/1.35 % (5177)------------------------------
% 1.51/1.36 % (5180)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_5056 for (2998ds/779Mi)
% 1.51/1.37 % (5181)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_5056 for (2998ds/19Mi)
% 1.51/1.37 % (5158)Instruction limit reached!
% 1.51/1.37 % (5158)------------------------------
% 1.51/1.37 % (5158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.37 % (5158)Termination reason: Unknown
% 1.51/1.37 % (5158)Termination phase: Saturation
% 1.51/1.37
% 1.51/1.37 % (5158)Memory used [KB]: 6012
% 1.51/1.37 % (5158)Time elapsed: 0.131 s
% 1.51/1.37 % (5158)Instructions burned: 276 (million)
% 1.51/1.37 % (5158)------------------------------
% 1.51/1.37 % (5158)------------------------------
% 1.51/1.38 % (5181)Instruction limit reached!
% 1.51/1.38 % (5181)------------------------------
% 1.51/1.38 % (5181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.38 % (5181)Termination reason: Unknown
% 1.51/1.38 % (5181)Termination phase: Saturation
% 1.51/1.38
% 1.51/1.38 % (5181)Memory used [KB]: 5628
% 1.51/1.38 % (5181)Time elapsed: 0.013 s
% 1.51/1.38 % (5181)Instructions burned: 20 (million)
% 1.51/1.38 % (5181)------------------------------
% 1.51/1.38 % (5181)------------------------------
% 1.51/1.39 % (5182)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5056 for (2998ds/879Mi)
% 1.51/1.40 % (5183)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5056 for (2998ds/17Mi)
% 1.51/1.41 % (5183)Instruction limit reached!
% 1.51/1.41 % (5183)------------------------------
% 1.51/1.41 % (5183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.41 % (5183)Termination reason: Unknown
% 1.51/1.41 % (5183)Termination phase: Saturation
% 1.51/1.41
% 1.51/1.41 % (5183)Memory used [KB]: 5628
% 1.51/1.41 % (5183)Time elapsed: 0.034 s
% 1.51/1.41 % (5183)Instructions burned: 17 (million)
% 1.51/1.41 % (5183)------------------------------
% 1.51/1.41 % (5183)------------------------------
% 1.51/1.43 % (5184)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5056 for (2998ds/3Mi)
% 1.51/1.43 % (5184)Instruction limit reached!
% 1.51/1.43 % (5184)------------------------------
% 1.51/1.43 % (5184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.43 % (5184)Termination reason: Unknown
% 1.51/1.43 % (5184)Termination phase: Saturation
% 1.51/1.43
% 1.51/1.43 % (5184)Memory used [KB]: 1023
% 1.51/1.43 % (5184)Time elapsed: 0.004 s
% 1.51/1.43 % (5184)Instructions burned: 3 (million)
% 1.51/1.43 % (5184)------------------------------
% 1.51/1.43 % (5184)------------------------------
% 1.51/1.45 % (5185)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5056 for (2997ds/30Mi)
% 1.51/1.47 % (5185)Instruction limit reached!
% 1.51/1.47 % (5185)------------------------------
% 1.51/1.47 % (5185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.47 % (5185)Termination reason: Unknown
% 1.51/1.47 % (5185)Termination phase: Saturation
% 1.51/1.47
% 1.51/1.47 % (5185)Memory used [KB]: 5628
% 1.51/1.47 % (5185)Time elapsed: 0.018 s
% 1.51/1.47 % (5185)Instructions burned: 30 (million)
% 1.51/1.47 % (5185)------------------------------
% 1.51/1.47 % (5185)------------------------------
% 1.51/1.48 % (5186)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5056 for (2997ds/127Mi)
% 1.51/1.52 % (5179)Instruction limit reached!
% 1.51/1.52 % (5179)------------------------------
% 1.51/1.52 % (5179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.52 % (5179)Termination reason: Unknown
% 1.51/1.52 % (5179)Termination phase: Saturation
% 1.51/1.52
% 1.51/1.52 % (5179)Memory used [KB]: 6012
% 1.51/1.52 % (5179)Time elapsed: 0.174 s
% 1.51/1.52 % (5179)Instructions burned: 377 (million)
% 1.51/1.52 % (5179)------------------------------
% 1.51/1.52 % (5179)------------------------------
% 1.51/1.54 % (5187)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5056 for (2997ds/100Mi)
% 1.51/1.55 % (5186)Instruction limit reached!
% 1.51/1.55 % (5186)------------------------------
% 1.51/1.55 % (5186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.55 % (5186)Termination reason: Unknown
% 1.51/1.55 % (5186)Termination phase: Saturation
% 1.51/1.55
% 1.51/1.55 % (5186)Memory used [KB]: 5884
% 1.51/1.55 % (5186)Time elapsed: 0.067 s
% 1.51/1.55 % (5186)Instructions burned: 128 (million)
% 1.51/1.55 % (5186)------------------------------
% 1.51/1.55 % (5186)------------------------------
% 1.51/1.57 % (5188)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_5056 for (2996ds/3Mi)
% 1.51/1.57 % (5188)Instruction limit reached!
% 1.51/1.57 % (5188)------------------------------
% 1.51/1.57 % (5188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.57 % (5188)Termination reason: Unknown
% 1.51/1.57 % (5188)Termination phase: Saturation
% 1.51/1.57
% 1.51/1.57 % (5188)Memory used [KB]: 5500
% 1.51/1.57 % (5188)Time elapsed: 0.004 s
% 1.51/1.57 % (5188)Instructions burned: 3 (million)
% 1.51/1.57 % (5188)------------------------------
% 1.51/1.57 % (5188)------------------------------
% 1.51/1.59 % (5189)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_5056 for (2996ds/20Mi)
% 1.51/1.60 % (5187)Instruction limit reached!
% 1.51/1.60 % (5187)------------------------------
% 1.51/1.60 % (5187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.60 % (5187)Termination reason: Unknown
% 1.51/1.60 % (5187)Termination phase: Saturation
% 1.51/1.60
% 1.51/1.60 % (5187)Memory used [KB]: 5756
% 1.51/1.60 % (5187)Time elapsed: 0.056 s
% 1.51/1.60 % (5187)Instructions burned: 101 (million)
% 1.51/1.60 % (5187)------------------------------
% 1.51/1.60 % (5187)------------------------------
% 1.51/1.60 % (5189)Instruction limit reached!
% 1.51/1.60 % (5189)------------------------------
% 1.51/1.60 % (5189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.60 % (5189)Termination reason: Unknown
% 1.51/1.60 % (5189)Termination phase: Saturation
% 1.51/1.60
% 1.51/1.60 % (5189)Memory used [KB]: 5628
% 1.51/1.60 % (5189)Time elapsed: 0.014 s
% 1.51/1.60 % (5189)Instructions burned: 21 (million)
% 1.51/1.60 % (5189)------------------------------
% 1.51/1.60 % (5189)------------------------------
% 1.51/1.62 % (5190)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_5056 for (2996ds/86Mi)
% 1.51/1.62 % (5191)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_5056 for (2996ds/107Mi)
% 1.51/1.64 % (5180)Instruction limit reached!
% 1.51/1.64 % (5180)------------------------------
% 1.51/1.64 % (5180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.64 % (5180)Termination reason: Unknown
% 1.51/1.64 % (5180)Termination phase: Saturation
% 1.51/1.64
% 1.51/1.64 % (5180)Memory used [KB]: 6908
% 1.51/1.64 % (5180)Time elapsed: 0.292 s
% 1.51/1.64 % (5180)Instructions burned: 780 (million)
% 1.51/1.64 % (5180)------------------------------
% 1.51/1.64 % (5180)------------------------------
% 1.51/1.65 % (5192)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_5056 for (2995ds/39Mi)
% 1.51/1.66 % (5192)Instruction limit reached!
% 1.51/1.66 % (5192)------------------------------
% 1.51/1.66 % (5192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.66 % (5192)Termination reason: Unknown
% 1.51/1.66 % (5192)Termination phase: Saturation
% 1.51/1.66
% 1.51/1.66 % (5192)Memory used [KB]: 5884
% 1.51/1.66 % (5192)Time elapsed: 0.015 s
% 1.51/1.66 % (5192)Instructions burned: 42 (million)
% 1.51/1.66 % (5192)------------------------------
% 1.51/1.66 % (5192)------------------------------
% 1.51/1.66 % (5190)Instruction limit reached!
% 1.51/1.66 % (5190)------------------------------
% 1.51/1.66 % (5190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.66 % (5190)Termination reason: Unknown
% 1.51/1.66 % (5190)Termination phase: Saturation
% 1.51/1.66
% 1.51/1.66 % (5190)Memory used [KB]: 5884
% 1.51/1.66 % (5190)Time elapsed: 0.048 s
% 1.51/1.66 % (5190)Instructions burned: 87 (million)
% 1.51/1.66 % (5190)------------------------------
% 1.51/1.66 % (5190)------------------------------
% 1.51/1.67 % (5193)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_5056 for (2995ds/448Mi)
% 1.51/1.67 % (5191)Instruction limit reached!
% 1.51/1.67 % (5191)------------------------------
% 1.51/1.67 % (5191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.67 % (5191)Termination reason: Unknown
% 1.51/1.67 % (5191)Termination phase: Saturation
% 1.51/1.67
% 1.51/1.67 % (5191)Memory used [KB]: 5884
% 1.51/1.67 % (5191)Time elapsed: 0.061 s
% 1.51/1.67 % (5191)Instructions burned: 108 (million)
% 1.51/1.68 % (5191)------------------------------
% 1.51/1.68 % (5191)------------------------------
% 1.51/1.68 % (5194)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_5056 for (2995ds/46Mi)
% 1.51/1.69 % (5195)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_5056 for (2995ds/98Mi)
% 1.51/1.71 % (5194)Instruction limit reached!
% 1.51/1.71 % (5194)------------------------------
% 1.51/1.71 % (5194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.71 % (5194)Termination reason: Unknown
% 1.51/1.71 % (5194)Termination phase: Saturation
% 1.51/1.71
% 1.51/1.71 % (5194)Memory used [KB]: 5756
% 1.51/1.71 % (5194)Time elapsed: 0.028 s
% 1.51/1.71 % (5194)Instructions burned: 46 (million)
% 1.51/1.71 % (5194)------------------------------
% 1.51/1.71 % (5194)------------------------------
% 1.51/1.73 % (5196)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_5056 for (2995ds/507Mi)
% 1.51/1.74 % (5173)Instruction limit reached!
% 1.51/1.74 % (5173)------------------------------
% 1.51/1.74 % (5173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.74 % (5173)Termination reason: Unknown
% 1.51/1.74 % (5173)Termination phase: Saturation
% 1.51/1.74
% 1.51/1.74 % (5173)Memory used [KB]: 6908
% 1.51/1.74 % (5173)Time elapsed: 0.419 s
% 1.51/1.74 % (5173)Instructions burned: 710 (million)
% 1.51/1.74 % (5173)------------------------------
% 1.51/1.74 % (5173)------------------------------
% 1.51/1.74 % (5175)Instruction limit reached!
% 1.51/1.74 % (5175)------------------------------
% 1.51/1.74 % (5175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.74 % (5175)Termination reason: Unknown
% 1.51/1.74 % (5175)Termination phase: Saturation
% 1.51/1.74
% 1.51/1.74 % (5175)Memory used [KB]: 6908
% 1.51/1.74 % (5175)Time elapsed: 0.432 s
% 1.51/1.74 % (5175)Instructions burned: 903 (million)
% 1.51/1.74 % (5175)------------------------------
% 1.51/1.74 % (5175)------------------------------
% 1.51/1.74 % (5195)Instruction limit reached!
% 1.51/1.74 % (5195)------------------------------
% 1.51/1.74 % (5195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.74 % (5195)Termination reason: Unknown
% 1.51/1.74 % (5195)Termination phase: Saturation
% 1.51/1.74
% 1.51/1.74 % (5195)Memory used [KB]: 1279
% 1.51/1.74 % (5195)Time elapsed: 0.053 s
% 1.51/1.74 % (5195)Instructions burned: 99 (million)
% 1.51/1.74 % (5195)------------------------------
% 1.51/1.74 % (5195)------------------------------
% 1.51/1.76 % (5197)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_5056 for (2994ds/149Mi)
% 1.51/1.76 % (5200)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_5056 for (2994ds/6Mi)
% 1.51/1.76 % (5200)Instruction limit reached!
% 1.51/1.76 % (5200)------------------------------
% 1.51/1.76 % (5200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.76 % (5200)Termination reason: Unknown
% 1.51/1.76 % (5200)Termination phase: Saturation
% 1.51/1.76
% 1.51/1.76 % (5200)Memory used [KB]: 9978
% 1.51/1.76 % (5200)Time elapsed: 0.005 s
% 1.51/1.76 % (5200)Instructions burned: 6 (million)
% 1.51/1.76 % (5200)------------------------------
% 1.51/1.76 % (5200)------------------------------
% 1.51/1.76 % (5198)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5056 for (2994ds/39Mi)
% 1.51/1.77 % (5164)Instruction limit reached!
% 1.51/1.77 % (5164)------------------------------
% 1.51/1.77 % (5164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.77 % (5164)Termination reason: Unknown
% 1.51/1.77 % (5164)Termination phase: Saturation
% 1.51/1.77
% 1.51/1.77 % (5164)Memory used [KB]: 7547
% 1.51/1.77 % (5164)Time elapsed: 0.492 s
% 1.51/1.77 % (5164)Instructions burned: 1041 (million)
% 1.51/1.77 % (5164)------------------------------
% 1.51/1.77 % (5164)------------------------------
% 1.51/1.78 % (5201)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_5056 for (2994ds/1087Mi)
% 1.51/1.78 % (5198)Instruction limit reached!
% 1.51/1.78 % (5198)------------------------------
% 1.51/1.78 % (5198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.78 % (5198)Termination reason: Unknown
% 1.51/1.78 % (5198)Termination phase: Saturation
% 1.51/1.78
% 1.51/1.78 % (5198)Memory used [KB]: 5628
% 1.51/1.78 % (5198)Time elapsed: 0.041 s
% 1.51/1.78 % (5198)Instructions burned: 39 (million)
% 1.51/1.78 % (5198)------------------------------
% 1.51/1.78 % (5198)------------------------------
% 1.51/1.79 % (5202)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5056 for (2994ds/47Mi)
% 1.51/1.79 % (5203)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_5056 for (2994ds/44Mi)
% 1.51/1.81 % (5203)Instruction limit reached!
% 1.51/1.81 % (5203)------------------------------
% 1.51/1.81 % (5203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.81 % (5203)Termination reason: Unknown
% 1.51/1.81 % (5203)Termination phase: Saturation
% 1.51/1.81
% 1.51/1.81 % (5203)Memory used [KB]: 1279
% 1.51/1.81 % (5203)Time elapsed: 0.016 s
% 1.51/1.81 % (5203)Instructions burned: 44 (million)
% 1.51/1.81 % (5203)------------------------------
% 1.51/1.81 % (5203)------------------------------
% 1.51/1.82 % (5202)Instruction limit reached!
% 1.51/1.82 % (5202)------------------------------
% 1.51/1.82 % (5202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.82 % (5202)Termination reason: Unknown
% 1.51/1.82 % (5202)Termination phase: Saturation
% 1.51/1.82
% 1.51/1.82 % (5202)Memory used [KB]: 5756
% 1.51/1.82 % (5202)Time elapsed: 0.030 s
% 1.51/1.82 % (5202)Instructions burned: 48 (million)
% 1.51/1.82 % (5202)------------------------------
% 1.51/1.82 % (5202)------------------------------
% 1.51/1.82 % (5204)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_5056 for (2994ds/432Mi)
% 1.51/1.82 % (5182)Instruction limit reached!
% 1.51/1.82 % (5182)------------------------------
% 1.51/1.82 % (5182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.82 % (5182)Termination reason: Unknown
% 1.51/1.82 % (5182)Termination phase: Saturation
% 1.51/1.82
% 1.51/1.82 % (5182)Memory used [KB]: 7036
% 1.51/1.82 % (5182)Time elapsed: 0.451 s
% 1.51/1.82 % (5182)Instructions burned: 879 (million)
% 1.51/1.82 % (5182)------------------------------
% 1.51/1.82 % (5182)------------------------------
% 1.51/1.84 % (5206)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_5056 for (2994ds/31Mi)
% 1.51/1.84 % (5205)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5056 for (2994ds/62Mi)
% 1.51/1.84 % (5197)Instruction limit reached!
% 1.51/1.84 % (5197)------------------------------
% 1.51/1.84 % (5197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.84 % (5197)Termination reason: Unknown
% 1.51/1.84 % (5197)Termination phase: Saturation
% 1.51/1.84
% 1.51/1.84 % (5197)Memory used [KB]: 6012
% 1.51/1.84 % (5197)Time elapsed: 0.082 s
% 1.51/1.84 % (5197)Instructions burned: 150 (million)
% 1.51/1.84 % (5197)------------------------------
% 1.51/1.84 % (5197)------------------------------
% 1.51/1.85 % (5193)Instruction limit reached!
% 1.51/1.85 % (5193)------------------------------
% 1.51/1.85 % (5193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.85 % (5193)Termination reason: Unknown
% 1.51/1.85 % (5193)Termination phase: Saturation
% 1.51/1.85
% 1.51/1.85 % (5193)Memory used [KB]: 6268
% 1.51/1.85 % (5193)Time elapsed: 0.168 s
% 1.51/1.85 % (5193)Instructions burned: 448 (million)
% 1.51/1.85 % (5193)------------------------------
% 1.51/1.85 % (5193)------------------------------
% 1.51/1.85 % (5206)Instruction limit reached!
% 1.51/1.85 % (5206)------------------------------
% 1.51/1.85 % (5206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.85 % (5206)Termination reason: Unknown
% 1.51/1.85 % (5206)Termination phase: Saturation
% 1.51/1.85
% 1.51/1.85 % (5206)Memory used [KB]: 5628
% 1.51/1.85 % (5206)Time elapsed: 0.020 s
% 1.51/1.85 % (5206)Instructions burned: 31 (million)
% 1.51/1.85 % (5206)------------------------------
% 1.51/1.85 % (5206)------------------------------
% 1.51/1.86 % (5207)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5056 for (2993ds/96Mi)
% 1.51/1.87 % (5205)Instruction limit reached!
% 1.51/1.87 % (5205)------------------------------
% 1.51/1.87 % (5205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.87 % (5205)Termination reason: Unknown
% 1.51/1.87 % (5205)Termination phase: Saturation
% 1.51/1.87
% 1.51/1.87 % (5205)Memory used [KB]: 5884
% 1.51/1.87 % (5205)Time elapsed: 0.034 s
% 1.51/1.87 % (5205)Instructions burned: 62 (million)
% 1.51/1.87 % (5205)------------------------------
% 1.51/1.87 % (5205)------------------------------
% 1.51/1.87 % (5208)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_5056 for (2993ds/453Mi)
% 1.51/1.87 % (5209)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_5056 for (2993ds/71Mi)
% 1.51/1.89 % (5210)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5056 for (2993ds/83Mi)
% 1.51/1.91 % (5209)Instruction limit reached!
% 1.51/1.91 % (5209)------------------------------
% 1.51/1.91 % (5209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.91 % (5209)Termination reason: Unknown
% 1.51/1.91 % (5209)Termination phase: Saturation
% 1.51/1.91
% 1.51/1.91 % (5209)Memory used [KB]: 5756
% 1.51/1.91 % (5209)Time elapsed: 0.039 s
% 1.51/1.91 % (5209)Instructions burned: 71 (million)
% 1.51/1.91 % (5209)------------------------------
% 1.51/1.91 % (5209)------------------------------
% 1.51/1.92 % (5207)Instruction limit reached!
% 1.51/1.92 % (5207)------------------------------
% 1.51/1.92 % (5207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.92 % (5207)Termination reason: Unknown
% 1.51/1.92 % (5207)Termination phase: Saturation
% 1.51/1.92
% 1.51/1.92 % (5207)Memory used [KB]: 5756
% 1.51/1.92 % (5207)Time elapsed: 0.084 s
% 1.51/1.92 % (5207)Instructions burned: 96 (million)
% 1.51/1.92 % (5207)------------------------------
% 1.51/1.92 % (5207)------------------------------
% 1.51/1.93 % (5210)Instruction limit reached!
% 1.51/1.93 % (5210)------------------------------
% 1.51/1.93 % (5210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.93 % (5210)Termination reason: Unknown
% 1.51/1.93 % (5210)Termination phase: Saturation
% 1.51/1.93
% 1.51/1.93 % (5210)Memory used [KB]: 5884
% 1.51/1.93 % (5210)Time elapsed: 0.044 s
% 1.51/1.93 % (5210)Instructions burned: 84 (million)
% 1.51/1.93 % (5210)------------------------------
% 1.51/1.93 % (5210)------------------------------
% 1.51/1.93 % (5211)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5056 for (2993ds/11Mi)
% 1.51/1.94 % (5211)Instruction limit reached!
% 1.51/1.94 % (5211)------------------------------
% 1.51/1.94 % (5211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.94 % (5211)Termination reason: Unknown
% 1.51/1.94 % (5211)Termination phase: Saturation
% 1.51/1.94
% 1.51/1.94 % (5211)Memory used [KB]: 5500
% 1.51/1.94 % (5211)Time elapsed: 0.034 s
% 1.51/1.94 % (5211)Instructions burned: 11 (million)
% 1.51/1.94 % (5211)------------------------------
% 1.51/1.94 % (5211)------------------------------
% 1.51/1.94 % (5213)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5056 for (2993ds/6Mi)
% 1.51/1.94 % (5212)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_5056 for (2993ds/41Mi)
% 1.51/1.95 % (5213)Instruction limit reached!
% 1.51/1.95 % (5213)------------------------------
% 1.51/1.95 % (5213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.95 % (5213)Termination reason: Unknown
% 1.51/1.95 % (5213)Termination phase: Saturation
% 1.51/1.95
% 1.51/1.95 % (5213)Memory used [KB]: 5500
% 1.51/1.95 % (5213)Time elapsed: 0.006 s
% 1.51/1.95 % (5213)Instructions burned: 6 (million)
% 1.51/1.95 % (5213)------------------------------
% 1.51/1.95 % (5213)------------------------------
% 1.51/1.97 % (5215)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5056 for (2992ds/343Mi)
% 1.51/1.97 % (5212)Instruction limit reached!
% 1.51/1.97 % (5212)------------------------------
% 1.51/1.97 % (5212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.97 % (5212)Termination reason: Unknown
% 1.51/1.97 % (5212)Termination phase: Saturation
% 1.51/1.97
% 1.51/1.97 % (5212)Memory used [KB]: 5628
% 1.51/1.97 % (5212)Time elapsed: 0.026 s
% 1.51/1.97 % (5212)Instructions burned: 42 (million)
% 1.51/1.97 % (5212)------------------------------
% 1.51/1.97 % (5212)------------------------------
% 1.51/1.97 % (5204)Instruction limit reached!
% 1.51/1.97 % (5204)------------------------------
% 1.51/1.97 % (5204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.97 % (5204)Termination reason: Unknown
% 1.51/1.97 % (5204)Termination phase: Saturation
% 1.51/1.97
% 1.51/1.97 % (5204)Memory used [KB]: 3837
% 1.51/1.97 % (5204)Time elapsed: 0.153 s
% 1.51/1.97 % (5204)Instructions burned: 432 (million)
% 1.51/1.97 % (5204)------------------------------
% 1.51/1.97 % (5204)------------------------------
% 1.51/1.97 % (5214)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5056 for (2992ds/150Mi)
% 1.51/1.98 % (5196)Instruction limit reached!
% 1.51/1.98 % (5196)------------------------------
% 1.51/1.98 % (5196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.98 % (5196)Termination reason: Unknown
% 1.51/1.98 % (5196)Termination phase: Saturation
% 1.51/1.98
% 1.51/1.98 % (5196)Memory used [KB]: 6652
% 1.51/1.98 % (5196)Time elapsed: 0.257 s
% 1.51/1.98 % (5196)Instructions burned: 508 (million)
% 1.51/1.98 % (5196)------------------------------
% 1.51/1.98 % (5196)------------------------------
% 1.51/1.99 % (5216)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_5056 for (2992ds/109Mi)
% 1.51/1.99 % (5217)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_5056 for (2992ds/253Mi)
% 1.51/2.01 % (5218)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5056 for (2992ds/140Mi)
% 6.83/2.04 % (5214)Instruction limit reached!
% 6.83/2.04 % (5214)------------------------------
% 6.83/2.04 % (5214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.04 % (5214)Termination reason: Unknown
% 6.83/2.04 % (5214)Termination phase: Saturation
% 6.83/2.04
% 6.83/2.04 % (5214)Memory used [KB]: 6140
% 6.83/2.04 % (5214)Time elapsed: 0.102 s
% 6.83/2.04 % (5214)Instructions burned: 151 (million)
% 6.83/2.04 % (5214)------------------------------
% 6.83/2.04 % (5214)------------------------------
% 6.83/2.05 % (5216)Instruction limit reached!
% 6.83/2.05 % (5216)------------------------------
% 6.83/2.05 % (5216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.05 % (5216)Termination reason: Unknown
% 6.83/2.05 % (5216)Termination phase: Saturation
% 6.83/2.05
% 6.83/2.05 % (5216)Memory used [KB]: 6140
% 6.83/2.05 % (5216)Time elapsed: 0.062 s
% 6.83/2.05 % (5216)Instructions burned: 110 (million)
% 6.83/2.05 % (5216)------------------------------
% 6.83/2.05 % (5216)------------------------------
% 6.83/2.05 % (5218)Instruction limit reached!
% 6.83/2.05 % (5218)------------------------------
% 6.83/2.05 % (5218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.05 % (5218)Termination reason: Unknown
% 6.83/2.05 % (5218)Termination phase: Saturation
% 6.83/2.05
% 6.83/2.05 % (5218)Memory used [KB]: 5884
% 6.83/2.05 % (5218)Time elapsed: 0.077 s
% 6.83/2.05 % (5218)Instructions burned: 140 (million)
% 6.83/2.05 % (5218)------------------------------
% 6.83/2.05 % (5218)------------------------------
% 6.83/2.06 % (5219)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_5056 for (2992ds/614Mi)
% 6.83/2.06 % (5221)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_5056 for (2991ds/339Mi)
% 6.83/2.07 % (5220)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_5056 for (2991ds/202Mi)
% 6.83/2.10 % (5208)Refutation not found, non-redundant clauses discarded% (5208)------------------------------
% 6.83/2.10 % (5208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.10 % (5208)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.83/2.10
% 6.83/2.10 % (5208)Memory used [KB]: 6140
% 6.83/2.10 % (5208)Time elapsed: 0.231 s
% 6.83/2.10 % (5208)Instructions burned: 449 (million)
% 6.83/2.10 % (5208)------------------------------
% 6.83/2.10 % (5208)------------------------------
% 6.83/2.12 % (5222)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_5056 for (2991ds/283Mi)
% 7.30/2.13 % (5217)Instruction limit reached!
% 7.30/2.13 % (5217)------------------------------
% 7.30/2.13 % (5217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.30/2.13 % (5217)Termination reason: Unknown
% 7.30/2.13 % (5217)Termination phase: Saturation
% 7.30/2.13
% 7.30/2.13 % (5217)Memory used [KB]: 6012
% 7.30/2.13 % (5217)Time elapsed: 0.158 s
% 7.30/2.13 % (5217)Instructions burned: 253 (million)
% 7.30/2.13 % (5217)------------------------------
% 7.30/2.13 % (5217)------------------------------
% 7.30/2.14 % (5215)Instruction limit reached!
% 7.30/2.14 % (5215)------------------------------
% 7.30/2.14 % (5215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.30/2.14 % (5215)Termination reason: Unknown
% 7.30/2.14 % (5215)Termination phase: Saturation
% 7.30/2.14
% 7.30/2.14 % (5215)Memory used [KB]: 6140
% 7.30/2.14 % (5215)Time elapsed: 0.174 s
% 7.30/2.14 % (5215)Instructions burned: 344 (million)
% 7.30/2.14 % (5215)------------------------------
% 7.30/2.14 % (5215)------------------------------
% 7.30/2.14 % (5223)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5056 for (2991ds/134Mi)
% 7.30/2.16 % (5224)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5056 for (2991ds/298Mi)
% 7.30/2.18 % (5220)Instruction limit reached!
% 7.30/2.18 % (5220)------------------------------
% 7.30/2.18 % (5220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.30/2.18 % (5220)Termination reason: Unknown
% 7.30/2.18 % (5220)Termination phase: Saturation
% 7.30/2.18
% 7.30/2.18 % (5220)Memory used [KB]: 6012
% 7.30/2.18 % (5220)Time elapsed: 0.136 s
% 7.30/2.18 % (5220)Instructions burned: 203 (million)
% 7.30/2.18 % (5220)------------------------------
% 7.30/2.18 % (5220)------------------------------
% 7.53/2.20 % (5225)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5056 for (2990ds/192Mi)
% 7.53/2.21 % (5223)Instruction limit reached!
% 7.53/2.21 % (5223)------------------------------
% 7.53/2.21 % (5223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.21 % (5223)Termination reason: Unknown
% 7.53/2.21 % (5223)Termination phase: Saturation
% 7.53/2.21
% 7.53/2.21 % (5223)Memory used [KB]: 6140
% 7.53/2.21 % (5223)Time elapsed: 0.090 s
% 7.53/2.21 % (5223)Instructions burned: 135 (million)
% 7.53/2.21 % (5223)------------------------------
% 7.53/2.21 % (5223)------------------------------
% 7.53/2.22 % (5221)Instruction limit reached!
% 7.53/2.22 % (5221)------------------------------
% 7.53/2.22 % (5221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.22 % (5221)Termination reason: Unknown
% 7.53/2.22 % (5221)Termination phase: Saturation
% 7.53/2.22
% 7.53/2.22 % (5221)Memory used [KB]: 6140
% 7.53/2.22 % (5221)Time elapsed: 0.184 s
% 7.53/2.22 % (5221)Instructions burned: 339 (million)
% 7.53/2.22 % (5221)------------------------------
% 7.53/2.22 % (5221)------------------------------
% 7.53/2.23 % (5226)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_5056 for (2990ds/258Mi)
% 7.53/2.24 % (5227)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_5056 for (2990ds/90Mi)
% 7.53/2.26 % (5222)Instruction limit reached!
% 7.53/2.26 % (5222)------------------------------
% 7.53/2.26 % (5222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.26 % (5222)Termination reason: Unknown
% 7.53/2.26 % (5222)Termination phase: Saturation
% 7.53/2.26
% 7.53/2.26 % (5222)Memory used [KB]: 7419
% 7.53/2.26 % (5222)Time elapsed: 0.166 s
% 7.53/2.26 % (5222)Instructions burned: 284 (million)
% 7.53/2.26 % (5222)------------------------------
% 7.53/2.26 % (5222)------------------------------
% 7.53/2.26 % (5219)Instruction limit reached!
% 7.53/2.26 % (5219)------------------------------
% 7.53/2.26 % (5219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.26 % (5219)Termination reason: Unknown
% 7.53/2.26 % (5219)Termination phase: Saturation
% 7.53/2.27
% 7.53/2.27 % (5219)Memory used [KB]: 6524
% 7.53/2.27 % (5219)Time elapsed: 0.235 s
% 7.53/2.27 % (5219)Instructions burned: 616 (million)
% 7.53/2.27 % (5219)------------------------------
% 7.53/2.27 % (5219)------------------------------
% 7.53/2.28 % (5229)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_5056 for (2989ds/458Mi)
% 7.53/2.28 % (5228)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_5056 for (2989ds/231Mi)
% 7.53/2.28 % (5227)Instruction limit reached!
% 7.53/2.28 % (5227)------------------------------
% 7.53/2.28 % (5227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.28 % (5227)Termination reason: Unknown
% 7.53/2.28 % (5227)Termination phase: Saturation
% 7.53/2.28
% 7.53/2.28 % (5227)Memory used [KB]: 5884
% 7.53/2.28 % (5227)Time elapsed: 0.075 s
% 7.53/2.28 % (5227)Instructions burned: 91 (million)
% 7.53/2.28 % (5227)------------------------------
% 7.53/2.28 % (5227)------------------------------
% 8.33/2.30 % (5201)Instruction limit reached!
% 8.33/2.30 % (5201)------------------------------
% 8.33/2.30 % (5201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.30 % (5201)Termination reason: Unknown
% 8.33/2.30 % (5201)Termination phase: Saturation
% 8.33/2.30
% 8.33/2.30 % (5225)Instruction limit reached!
% 8.33/2.30 % (5225)------------------------------
% 8.33/2.30 % (5225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.30 % (5225)Termination reason: Unknown
% 8.33/2.30 % (5225)Termination phase: Saturation
% 8.33/2.30
% 8.33/2.30 % (5225)Memory used [KB]: 6396
% 8.33/2.30 % (5225)Time elapsed: 0.130 s
% 8.33/2.30 % (5225)Instructions burned: 192 (million)
% 8.33/2.30 % (5225)------------------------------
% 8.33/2.30 % (5225)------------------------------
% 8.33/2.30 % (5201)Memory used [KB]: 6652
% 8.33/2.30 % (5201)Time elapsed: 0.521 s
% 8.33/2.30 % (5201)Instructions burned: 1087 (million)
% 8.33/2.30 % (5201)------------------------------
% 8.33/2.30 % (5201)------------------------------
% 8.33/2.30 % (5224)Instruction limit reached!
% 8.33/2.30 % (5224)------------------------------
% 8.33/2.30 % (5224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.30 % (5224)Termination reason: Unknown
% 8.33/2.30 % (5224)Termination phase: Saturation
% 8.33/2.30
% 8.33/2.30 % (5224)Memory used [KB]: 6396
% 8.33/2.30 % (5224)Time elapsed: 0.174 s
% 8.33/2.30 % (5224)Instructions burned: 298 (million)
% 8.33/2.30 % (5224)------------------------------
% 8.33/2.30 % (5224)------------------------------
% 8.33/2.30 % (5230)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_5056 for (2989ds/31Mi)
% 8.33/2.32 % (5231)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_5056 for (2989ds/297Mi)
% 8.33/2.32 % (5232)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_5056 for (2989ds/987Mi)
% 8.33/2.32 % (5230)Instruction limit reached!
% 8.33/2.32 % (5230)------------------------------
% 8.33/2.32 % (5230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.32 % (5230)Termination reason: Unknown
% 8.33/2.32 % (5230)Termination phase: Saturation
% 8.33/2.32
% 8.33/2.32 % (5230)Memory used [KB]: 5628
% 8.33/2.32 % (5230)Time elapsed: 0.019 s
% 8.33/2.32 % (5230)Instructions burned: 32 (million)
% 8.33/2.32 % (5230)------------------------------
% 8.33/2.32 % (5230)------------------------------
% 8.33/2.32 % (5233)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_5056 for (2989ds/182Mi)
% 8.33/2.34 % (5234)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_5056 for (2989ds/182Mi)
% 8.33/2.35 % (5226)Instruction limit reached!
% 8.33/2.35 % (5226)------------------------------
% 8.33/2.35 % (5226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.35 % (5226)Termination reason: Unknown
% 8.33/2.35 % (5226)Termination phase: Saturation
% 8.33/2.35
% 8.33/2.35 % (5226)Memory used [KB]: 6012
% 8.33/2.35 % (5226)Time elapsed: 0.145 s
% 8.33/2.35 % (5226)Instructions burned: 259 (million)
% 8.33/2.35 % (5226)------------------------------
% 8.33/2.35 % (5226)------------------------------
% 8.33/2.37 % (5235)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_5056 for (2988ds/154Mi)
% 8.81/2.40 % (5228)Instruction limit reached!
% 8.81/2.40 % (5228)------------------------------
% 8.81/2.40 % (5228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.40 % (5228)Termination reason: Unknown
% 8.81/2.40 % (5228)Termination phase: Saturation
% 8.81/2.40
% 8.81/2.40 % (5228)Memory used [KB]: 6140
% 8.81/2.40 % (5228)Time elapsed: 0.126 s
% 8.81/2.40 % (5228)Instructions burned: 231 (million)
% 8.81/2.40 % (5228)------------------------------
% 8.81/2.40 % (5228)------------------------------
% 8.81/2.41 % (5233)Instruction limit reached!
% 8.81/2.41 % (5233)------------------------------
% 8.81/2.41 % (5233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.41 % (5233)Termination reason: Unknown
% 8.81/2.41 % (5233)Termination phase: Saturation
% 8.81/2.41
% 8.81/2.41 % (5233)Memory used [KB]: 6268
% 8.81/2.41 % (5233)Time elapsed: 0.092 s
% 8.81/2.41 % (5233)Instructions burned: 183 (million)
% 8.81/2.41 % (5233)------------------------------
% 8.81/2.41 % (5233)------------------------------
% 8.81/2.42 % (5229)Instruction limit reached!
% 8.81/2.42 % (5229)------------------------------
% 8.81/2.42 % (5229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.42 % (5229)Termination reason: Unknown
% 8.81/2.42 % (5229)Termination phase: Saturation
% 8.81/2.42
% 8.81/2.42 % (5229)Memory used [KB]: 6396
% 8.81/2.42 % (5229)Time elapsed: 0.143 s
% 8.81/2.42 % (5229)Instructions burned: 458 (million)
% 8.81/2.42 % (5229)------------------------------
% 8.81/2.42 % (5229)------------------------------
% 8.81/2.43 % (5236)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_5056 for (2988ds/79Mi)
% 8.81/2.43 % (5237)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_5056 for (2988ds/216Mi)
% 8.81/2.43 % (5238)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5056 for (2988ds/114Mi)
% 8.81/2.43 % (5234)Instruction limit reached!
% 8.81/2.43 % (5234)------------------------------
% 8.81/2.43 % (5234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.43 % (5234)Termination reason: Unknown
% 8.81/2.43 % (5234)Termination phase: Saturation
% 8.81/2.43
% 8.81/2.43 % (5234)Memory used [KB]: 5884
% 8.81/2.43 % (5234)Time elapsed: 0.100 s
% 8.81/2.43 % (5234)Instructions burned: 182 (million)
% 8.81/2.43 % (5234)------------------------------
% 8.81/2.43 % (5234)------------------------------
% 8.81/2.44 % (5235)Instruction limit reached!
% 8.81/2.44 % (5235)------------------------------
% 8.81/2.44 % (5235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.44 % (5235)Termination reason: Unknown
% 8.81/2.44 % (5235)Termination phase: Saturation
% 8.81/2.44
% 8.81/2.44 % (5235)Memory used [KB]: 6268
% 8.81/2.44 % (5235)Time elapsed: 0.073 s
% 8.81/2.44 % (5235)Instructions burned: 154 (million)
% 8.81/2.44 % (5235)------------------------------
% 8.81/2.44 % (5235)------------------------------
% 8.81/2.46 % (5240)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_5056 for (2987ds/182Mi)
% 8.81/2.46 % (5239)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_5056 for (2988ds/922Mi)
% 8.81/2.46 % (5231)Instruction limit reached!
% 8.81/2.46 % (5231)------------------------------
% 8.81/2.46 % (5231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.46 % (5231)Termination reason: Unknown
% 8.81/2.46 % (5231)Termination phase: Saturation
% 8.81/2.46
% 8.81/2.46 % (5231)Memory used [KB]: 6524
% 8.81/2.46 % (5231)Time elapsed: 0.144 s
% 8.81/2.46 % (5231)Instructions burned: 298 (million)
% 8.81/2.46 % (5231)------------------------------
% 8.81/2.46 % (5231)------------------------------
% 8.81/2.46 % (5236)Instruction limit reached!
% 8.81/2.46 % (5236)------------------------------
% 8.81/2.46 % (5236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.46 % (5236)Termination reason: Unknown
% 8.81/2.46 % (5236)Termination phase: Saturation
% 8.81/2.46
% 8.81/2.46 % (5236)Memory used [KB]: 5628
% 8.81/2.46 % (5236)Time elapsed: 0.048 s
% 8.81/2.46 % (5236)Instructions burned: 80 (million)
% 8.81/2.46 % (5236)------------------------------
% 8.81/2.46 % (5236)------------------------------
% 8.81/2.48 % (5241)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_5056 for (2987ds/164Mi)
% 8.81/2.48 % (5242)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_5056 for (2987ds/50Mi)
% 8.81/2.49 % (5238)Instruction limit reached!
% 8.81/2.49 % (5238)------------------------------
% 8.81/2.49 % (5238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.49 % (5238)Termination reason: Unknown
% 8.81/2.49 % (5238)Termination phase: Saturation
% 8.81/2.49
% 8.81/2.49 % (5238)Memory used [KB]: 6012
% 8.81/2.49 % (5238)Time elapsed: 0.059 s
% 8.81/2.49 % (5238)Instructions burned: 115 (million)
% 8.81/2.49 % (5238)------------------------------
% 8.81/2.49 % (5238)------------------------------
% 9.68/2.50 % (5242)Instruction limit reached!
% 9.68/2.50 % (5242)------------------------------
% 9.68/2.50 % (5242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.50 % (5242)Termination reason: Unknown
% 9.68/2.50 % (5242)Termination phase: Saturation
% 9.68/2.50
% 9.68/2.50 % (5242)Memory used [KB]: 10618
% 9.68/2.50 % (5242)Time elapsed: 0.025 s
% 9.68/2.50 % (5242)Instructions burned: 51 (million)
% 9.68/2.50 % (5242)------------------------------
% 9.68/2.50 % (5242)------------------------------
% 9.68/2.51 % (5243)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5056 for (2987ds/368Mi)
% 9.68/2.52 % (5244)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_5056 for (2987ds/1021Mi)
% 9.68/2.53 % (5237)Instruction limit reached!
% 9.68/2.53 % (5237)------------------------------
% 9.68/2.53 % (5237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.53 % (5237)Termination reason: Unknown
% 9.68/2.53 % (5237)Termination phase: Saturation
% 9.68/2.53
% 9.68/2.53 % (5237)Memory used [KB]: 6652
% 9.68/2.53 % (5237)Time elapsed: 0.105 s
% 9.68/2.53 % (5237)Instructions burned: 217 (million)
% 9.68/2.53 % (5237)------------------------------
% 9.68/2.53 % (5237)------------------------------
% 9.68/2.55 % (5245)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_5056 for (2987ds/267Mi)
% 9.68/2.55 % (5240)Instruction limit reached!
% 9.68/2.55 % (5240)------------------------------
% 9.68/2.55 % (5240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.55 % (5240)Termination reason: Unknown
% 9.68/2.55 % (5240)Termination phase: Saturation
% 9.68/2.55
% 9.68/2.55 % (5240)Memory used [KB]: 5756
% 9.68/2.55 % (5240)Time elapsed: 0.099 s
% 9.68/2.55 % (5240)Instructions burned: 183 (million)
% 9.68/2.55 % (5240)------------------------------
% 9.68/2.55 % (5240)------------------------------
% 9.68/2.56 % (5241)Instruction limit reached!
% 9.68/2.56 % (5241)------------------------------
% 9.68/2.56 % (5241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.56 % (5241)Termination reason: Unknown
% 9.68/2.56 % (5241)Termination phase: Saturation
% 9.68/2.56
% 9.68/2.56 % (5241)Memory used [KB]: 1279
% 9.68/2.56 % (5241)Time elapsed: 0.084 s
% 9.68/2.56 % (5241)Instructions burned: 164 (million)
% 9.68/2.56 % (5241)------------------------------
% 9.68/2.56 % (5241)------------------------------
% 9.68/2.57 % (5246)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_5056 for (2986ds/204Mi)
% 9.68/2.57 % (5247)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_5056 for (2986ds/26Mi)
% 9.68/2.59 % (5247)Instruction limit reached!
% 9.68/2.59 % (5247)------------------------------
% 9.68/2.59 % (5247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.59 % (5247)Termination reason: Unknown
% 9.68/2.59 % (5247)Termination phase: Saturation
% 9.68/2.59
% 9.68/2.59 % (5247)Memory used [KB]: 5628
% 9.68/2.59 % (5247)Time elapsed: 0.014 s
% 9.68/2.59 % (5247)Instructions burned: 26 (million)
% 9.68/2.59 % (5247)------------------------------
% 9.68/2.59 % (5247)------------------------------
% 10.09/2.62 % (5248)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_5056 for (2986ds/53Mi)
% 10.09/2.64 % (5248)Instruction limit reached!
% 10.09/2.64 % (5248)------------------------------
% 10.09/2.64 % (5248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.64 % (5248)Termination reason: Unknown
% 10.09/2.64 % (5248)Termination phase: Saturation
% 10.09/2.64
% 10.09/2.64 % (5248)Memory used [KB]: 6012
% 10.09/2.64 % (5248)Time elapsed: 0.049 s
% 10.09/2.64 % (5248)Instructions burned: 56 (million)
% 10.09/2.64 % (5248)------------------------------
% 10.09/2.64 % (5248)------------------------------
% 10.09/2.65 % (5249)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_5056 for (2986ds/4436Mi)
% 10.09/2.68 % (5246)Instruction limit reached!
% 10.09/2.68 % (5246)------------------------------
% 10.09/2.68 % (5246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.68 % (5246)Termination reason: Unknown
% 10.09/2.68 % (5246)Termination phase: Saturation
% 10.09/2.68
% 10.09/2.68 % (5246)Memory used [KB]: 5884
% 10.09/2.68 % (5246)Time elapsed: 0.114 s
% 10.09/2.68 % (5246)Instructions burned: 205 (million)
% 10.09/2.68 % (5246)------------------------------
% 10.09/2.68 % (5246)------------------------------
% 10.09/2.68 % (5245)Instruction limit reached!
% 10.09/2.68 % (5245)------------------------------
% 10.09/2.68 % (5245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.68 % (5245)Termination reason: Unknown
% 10.09/2.68 % (5245)Termination phase: Saturation
% 10.09/2.68
% 10.09/2.68 % (5245)Memory used [KB]: 6396
% 10.09/2.68 % (5245)Time elapsed: 0.138 s
% 10.09/2.68 % (5245)Instructions burned: 268 (million)
% 10.09/2.68 % (5245)------------------------------
% 10.09/2.68 % (5245)------------------------------
% 10.39/2.70 % (5250)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_5056 for (2985ds/1539Mi)
% 10.39/2.71 % (5243)Instruction limit reached!
% 10.39/2.71 % (5243)------------------------------
% 10.39/2.71 % (5243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.39/2.71 % (5243)Termination reason: Unknown
% 10.39/2.71 % (5243)Termination phase: Saturation
% 10.39/2.71
% 10.39/2.71 % (5243)Memory used [KB]: 6652
% 10.39/2.71 % (5243)Time elapsed: 0.198 s
% 10.39/2.71 % (5243)Instructions burned: 368 (million)
% 10.39/2.71 % (5243)------------------------------
% 10.39/2.71 % (5243)------------------------------
% 10.39/2.72 % (5251)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_5056 for (2985ds/408Mi)
% 10.39/2.72 % (5252)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_5056 for (2985ds/5205Mi)
% 10.61/2.81 % (5232)Instruction limit reached!
% 10.61/2.81 % (5232)------------------------------
% 10.61/2.81 % (5232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.61/2.81 % (5232)Termination reason: Unknown
% 10.61/2.81 % (5232)Termination phase: Saturation
% 10.61/2.81
% 10.61/2.81 % (5232)Memory used [KB]: 8571
% 10.61/2.81 % (5232)Time elapsed: 0.495 s
% 10.61/2.81 % (5232)Instructions burned: 988 (million)
% 10.61/2.81 % (5232)------------------------------
% 10.61/2.81 % (5232)------------------------------
% 10.61/2.83 % (5253)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_5056 for (2984ds/1913Mi)
% 10.61/2.83 % (5239)Instruction limit reached!
% 10.61/2.83 % (5239)------------------------------
% 10.61/2.83 % (5239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.61/2.83 % (5239)Termination reason: Unknown
% 10.61/2.83 % (5239)Termination phase: Saturation
% 10.61/2.83
% 10.61/2.83 % (5239)Memory used [KB]: 6524
% 10.61/2.83 % (5239)Time elapsed: 0.394 s
% 10.61/2.83 % (5239)Instructions burned: 923 (million)
% 10.61/2.83 % (5239)------------------------------
% 10.61/2.83 % (5239)------------------------------
% 10.61/2.85 % (5254)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_5056 for (2984ds/4350Mi)
% 10.61/2.86 % (5251)Instruction limit reached!
% 10.61/2.86 % (5251)------------------------------
% 10.61/2.86 % (5251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.61/2.86 % (5251)Termination reason: Unknown
% 10.61/2.86 % (5251)Termination phase: Saturation
% 10.61/2.86
% 10.61/2.86 % (5251)Memory used [KB]: 7036
% 10.61/2.86 % (5251)Time elapsed: 0.180 s
% 10.61/2.86 % (5251)Instructions burned: 410 (million)
% 10.61/2.86 % (5251)------------------------------
% 10.61/2.86 % (5251)------------------------------
% 10.61/2.87 % (5255)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_5056 for (2983ds/68Mi)
% 11.62/2.90 % (5255)Instruction limit reached!
% 11.62/2.90 % (5255)------------------------------
% 11.62/2.90 % (5255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.62/2.90 % (5255)Termination reason: Unknown
% 11.62/2.90 % (5255)Termination phase: Saturation
% 11.62/2.90
% 11.62/2.90 % (5255)Memory used [KB]: 6012
% 11.62/2.90 % (5255)Time elapsed: 0.023 s
% 11.62/2.90 % (5255)Instructions burned: 69 (million)
% 11.62/2.90 % (5255)------------------------------
% 11.62/2.90 % (5255)------------------------------
% 11.62/2.91 % (5256)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_5056 for (2983ds/358Mi)
% 11.62/3.01 % (5244)Instruction limit reached!
% 11.62/3.01 % (5244)------------------------------
% 11.62/3.01 % (5244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.62/3.01 % (5244)Termination reason: Unknown
% 11.62/3.01 % (5244)Termination phase: Saturation
% 11.62/3.01
% 11.62/3.01 % (5244)Memory used [KB]: 7164
% 11.62/3.01 % (5244)Time elapsed: 0.492 s
% 11.62/3.01 % (5244)Instructions burned: 1022 (million)
% 11.62/3.01 % (5244)------------------------------
% 11.62/3.01 % (5244)------------------------------
% 13.58/3.03 % (5257)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_5056 for (2982ds/31Mi)
% 13.58/3.04 % (5256)Instruction limit reached!
% 13.58/3.04 % (5256)------------------------------
% 13.58/3.04 % (5256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.58/3.04 % (5256)Termination reason: Unknown
% 13.58/3.04 % (5256)Termination phase: Saturation
% 13.58/3.04
% 13.58/3.04 % (5256)Memory used [KB]: 6012
% 13.58/3.04 % (5256)Time elapsed: 0.138 s
% 13.58/3.04 % (5256)Instructions burned: 360 (million)
% 13.58/3.04 % (5256)------------------------------
% 13.58/3.04 % (5256)------------------------------
% 13.58/3.05 % (5258)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5056 for (2982ds/279Mi)
% 13.58/3.05 % (5257)Instruction limit reached!
% 13.58/3.05 % (5257)------------------------------
% 13.58/3.05 % (5257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.58/3.05 % (5257)Termination reason: Unknown
% 13.58/3.05 % (5257)Termination phase: Saturation
% 13.58/3.05
% 13.58/3.05 % (5257)Memory used [KB]: 5628
% 13.58/3.05 % (5257)Time elapsed: 0.046 s
% 13.58/3.05 % (5257)Instructions burned: 32 (million)
% 13.58/3.05 % (5257)------------------------------
% 13.58/3.05 % (5257)------------------------------
% 13.58/3.07 % (5259)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5056 for (2981ds/258Mi)
% 14.16/3.13 % (5258)Instruction limit reached!
% 14.16/3.13 % (5258)------------------------------
% 14.16/3.13 % (5258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.16/3.13 % (5258)Termination reason: Unknown
% 14.16/3.13 % (5258)Termination phase: Saturation
% 14.16/3.13
% 14.16/3.13 % (5258)Memory used [KB]: 6140
% 14.16/3.13 % (5258)Time elapsed: 0.108 s
% 14.16/3.13 % (5258)Instructions burned: 280 (million)
% 14.16/3.13 % (5258)------------------------------
% 14.16/3.13 % (5258)------------------------------
% 14.16/3.14 % (5260)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_5056 for (2980ds/26Mi)
% 14.16/3.15 % (5260)Instruction limit reached!
% 14.16/3.15 % (5260)------------------------------
% 14.16/3.15 % (5260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.16/3.15 % (5260)Termination reason: Unknown
% 14.16/3.15 % (5260)Termination phase: Saturation
% 14.16/3.15
% 14.16/3.15 % (5260)Memory used [KB]: 5628
% 14.16/3.15 % (5260)Time elapsed: 0.011 s
% 14.16/3.15 % (5260)Instructions burned: 29 (million)
% 14.16/3.15 % (5260)------------------------------
% 14.16/3.15 % (5260)------------------------------
% 14.16/3.16 % (5261)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_5056 for (2980ds/995Mi)
% 14.67/3.21 % (5259)Instruction limit reached!
% 14.67/3.21 % (5259)------------------------------
% 14.67/3.21 % (5259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.67/3.21 % (5259)Termination reason: Unknown
% 14.67/3.21 % (5259)Termination phase: Saturation
% 14.67/3.21
% 14.67/3.21 % (5259)Memory used [KB]: 6140
% 14.67/3.21 % (5259)Time elapsed: 0.138 s
% 14.67/3.21 % (5259)Instructions burned: 258 (million)
% 14.67/3.21 % (5259)------------------------------
% 14.67/3.21 % (5259)------------------------------
% 14.67/3.23 % (5262)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_5056 for (2980ds/373Mi)
% 15.32/3.32 % (5261)First to succeed.
% 15.32/3.33 % (5261)Refutation found. Thanks to Tanya!
% 15.32/3.33 % SZS status Theorem for DTF2THF_5056
% 15.32/3.33 % SZS output start Proof for DTF2THF_5056
% 15.32/3.33 thf(type_def_5, type, a: $tType).
% 15.32/3.33 thf(func_def_0, type, a: $tType).
% 15.32/3.33 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 15.32/3.33 thf(func_def_19, type, sK2: (a > $o) > $o).
% 15.32/3.33 thf(func_def_20, type, sK3: a > a > $o).
% 15.32/3.33 thf(func_def_21, type, sK4: (a > $o) > a).
% 15.32/3.33 thf(func_def_22, type, sK5: (a > $o) > (a > $o) > a).
% 15.32/3.33 thf(func_def_23, type, sK6: (a > a > $o) > a > $o).
% 15.32/3.33 thf(func_def_24, type, sK7: (a > a > $o) > a).
% 15.32/3.33 thf(func_def_25, type, sK8: (a > a > $o) > a).
% 15.32/3.33 thf(func_def_26, type, sK9: (a > $o) > (a > a > $o) > a).
% 15.32/3.33 thf(f1277,plain,(
% 15.32/3.33 $false),
% 15.32/3.33 inference(avatar_sat_refutation,[status(thm)],[f268,f605,f667,f922,f1117,f1155,f1208,f1227,f1252,f1272])).
% 15.32/3.33 thf(f1272,plain,(
% 15.32/3.33 spl0_4 | spl0_7 | ~spl0_6 | spl0_9),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f1271,f540,f284,f291,f278])).
% 15.32/3.33 thf(f278,definition,(
% 15.32/3.33 spl0_4 <=> ! [X0 : a] : ((sK6 @ sK3 @ X0) = $false)),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 15.32/3.33 thf(f291,definition,(
% 15.32/3.33 spl0_7 <=> ! [X1 : a > $o] : (($false = (X1 @ (sK8 @ sK3))) | ((X1 @ (sK7 @ sK3)) = $true) | ((sK2 @ X1) = $false))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 15.32/3.33 thf(f284,definition,(
% 15.32/3.33 spl0_6 <=> ((sK6 @ sK3 @ (sK8 @ sK3)) = $false)),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 15.32/3.33 thf(f540,definition,(
% 15.32/3.33 spl0_9 <=> ($false = (sK2 @ (sK6 @ sK3)))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 15.32/3.33 thf(f1271,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (((X1 @ (sK7 @ sK3)) = $true) | ((sK2 @ X1) = $false) | ($false = (X1 @ (sK8 @ sK3))) | ((sK6 @ sK3 @ X0) = $false)) ) | (~spl0_6 | spl0_9)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f1270,f285])).
% 15.32/3.33 thf(f285,plain,(
% 15.32/3.33 ((sK6 @ sK3 @ (sK8 @ sK3)) = $false) | ~spl0_6),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f284])).
% 15.32/3.33 thf(f1270,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (((X1 @ (sK7 @ sK3)) = $true) | ((sK6 @ sK3 @ (sK8 @ sK3)) != $false) | ($false = (X1 @ (sK8 @ sK3))) | ((sK6 @ sK3 @ X0) = $false) | ((sK2 @ X1) = $false)) ) | spl0_9),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f271,f541])).
% 15.32/3.33 thf(f541,plain,(
% 15.32/3.33 ($false != (sK2 @ (sK6 @ sK3))) | spl0_9),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f540])).
% 15.32/3.33 thf(f271,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (((X1 @ (sK7 @ sK3)) = $true) | ($false = (sK2 @ (sK6 @ sK3))) | ($false = (X1 @ (sK8 @ sK3))) | ((sK2 @ X1) = $false) | ((sK6 @ sK3 @ (sK8 @ sK3)) != $false) | ((sK6 @ sK3 @ X0) = $false)) )),
% 15.32/3.33 inference(superposition,[status(thm)],[f97,f123])).
% 15.32/3.33 thf(f123,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X0 : a,X1 : a] : (($false = (sK3 @ X0 @ X1)) | ($false = (X2 @ X1)) | ($true = (X2 @ X0)) | ($false = (sK2 @ X2))) )),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f108])).
% 15.32/3.33 thf(f108,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X0 : a,X1 : a] : (($false = (sK3 @ X0 @ X1)) | ($false = (X2 @ X1)) | ($true = $false) | ($false = (sK2 @ X2)) | ($true = (X2 @ X0))) )),
% 15.32/3.33 inference(superposition,[status(thm)],[f78,f27])).
% 15.32/3.33 thf(f27,plain,(
% 15.32/3.33 ( ! [X1 : a] : (((sK3 @ X1 @ X1) = $true)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 15.32/3.33 thf(f25,plain,(
% 15.32/3.33 ( ! [X1 : a] : ((((sK3 @ X1 @ X1) & (sK2 @ (sK3 @ X1))) = $true)) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f24])).
% 15.32/3.33 thf(f24,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = ((^[Y0 : a > $o]: ((Y0 @ X1) & (sK2 @ Y0))) @ (sK3 @ X1)))) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f23])).
% 15.32/3.33 thf(f23,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ X1) & (sK2 @ Y0)))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f22])).
% 15.32/3.33 thf(f22,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (sK2 @ Y1))))) @ X1))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f21])).
% 15.32/3.33 thf(f21,plain,(
% 15.32/3.33 ($true = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (sK2 @ Y1)))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 15.32/3.33 thf(f19,plain,(
% 15.32/3.33 ($true = ((!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (sK2 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((sK2 @ Y2) & (sK2 @ Y3)) & (Y2 @ Y1)) & (Y3 @ Y1)) & (Y2 @ Y0)) => (Y3 @ Y0))))))))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 15.32/3.33 thf(f14,plain,(
% 15.32/3.33 ($true = (((!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (sK2 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((sK2 @ Y2) & (sK2 @ Y3)) & (Y2 @ Y1)) & (Y3 @ Y1)) & (Y2 @ Y0)) => (Y3 @ Y0))))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 15.32/3.33 thf(f12,plain,(
% 15.32/3.33 ($false = ((((!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (sK2 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((sK2 @ Y2) & (sK2 @ Y3)) & (Y2 @ Y1)) & (Y3 @ Y1)) & (Y2 @ Y0)) => (Y3 @ Y0))))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))))))))))),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f11])).
% 15.32/3.33 thf(f11,plain,(
% 15.32/3.33 ($false = ((^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4)))))))))))))) @ sK2))),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f9])).
% 15.32/3.33 thf(f9,plain,(
% 15.32/3.33 ($false = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4))))))))))))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 15.32/3.33 thf(f8,plain,(
% 15.32/3.33 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0))))))))) => (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4)))))))))))))))) = $false)),
% 15.32/3.33 inference(not_proxy_clausification,[status(thm)],[f7])).
% 15.32/3.33 thf(f7,plain,(
% 15.32/3.33 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0))))))))) => (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4))))))))))))))))))),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f6])).
% 15.32/3.33 thf(f6,plain,(
% 15.32/3.33 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0))))))))) => (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: (Y2 @ Y3))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4))))))))))))))))))),
% 15.32/3.33 inference(cnf_transformation,[status(thm)],[f5])).
% 15.32/3.33 thf(f5,plain,(
% 15.32/3.33 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0))))))))) => (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((((((Y0 @ Y3) & (Y0 @ Y4)) & (Y3 @ Y2)) & (Y4 @ Y2)) & (Y3 @ Y1)) => (Y4 @ Y1))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: (Y2 @ Y3))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y1 @ Y3 @ Y4))))))))))))))))))),
% 15.32/3.33 inference(fool_elimination,[status(thm)],[f4])).
% 15.32/3.33 thf(f4,plain,(
% 15.32/3.33 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) => ! [X3 : (a > $o) > $o] : ((X3 @ X0) => (X3 @ X1))) => ! [X4 : (a > $o) > $o] : ((! [X5 : a > $o] : ((X4 @ X5) => ? [X6 : a] : (X5 @ X6)) & ! [X7 : a > $o,X8 : a > $o,X9 : a,X10 : a] : (((X8 @ X10) & (X7 @ X9) & (X8 @ X9) & (X4 @ X7) & (X4 @ X8)) => (X7 @ X10)) & ! [X11 : a] : ? [X12 : a > $o] : ((X4 @ X12) & (X12 @ X11))) => ? [X13 : a > a > $o] : (X4 = (^[X14 : a > $o] : (! [X15 : a] : ((X14 @ X15) => ! [X16 : a] : ((X14 @ X16) <=> (X13 @ X15 @ X16))) & ? [X17 : a] : (X14 @ X17))))))),
% 15.32/3.33 inference(rectify,[status(thm)],[f2])).
% 15.32/3.33 thf(f2,negated_conjecture,(
% 15.32/3.33 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) => ! [X3 : (a > $o) > $o] : ((X3 @ X0) => (X3 @ X1))) => ! [X3 : (a > $o) > $o] : ((! [X0 : a > $o] : ((X3 @ X0) => ? [X4 : a] : (X0 @ X4)) & ! [X7 : a > $o,X0 : a > $o,X5 : a,X6 : a] : (((X0 @ X6) & (X7 @ X5) & (X0 @ X5) & (X3 @ X7) & (X3 @ X0)) => (X7 @ X6)) & ! [X5 : a] : ? [X0 : a > $o] : ((X3 @ X0) & (X0 @ X5))) => ? [X8 : a > a > $o] : (X3 = (^[X9 : a > $o] : (! [X5 : a] : ((X9 @ X5) => ! [X6 : a] : ((X9 @ X6) <=> (X8 @ X5 @ X6))) & ? [X4 : a] : (X9 @ X4))))))),
% 15.32/3.33 inference(negated_conjecture,[status(cth)],[f1])).
% 15.32/3.33 thf(f1,conjecture,(
% 15.32/3.33 ! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) => ! [X3 : (a > $o) > $o] : ((X3 @ X0) => (X3 @ X1))) => ! [X3 : (a > $o) > $o] : ((! [X0 : a > $o] : ((X3 @ X0) => ? [X4 : a] : (X0 @ X4)) & ! [X7 : a > $o,X0 : a > $o,X5 : a,X6 : a] : (((X0 @ X6) & (X7 @ X5) & (X0 @ X5) & (X3 @ X7) & (X3 @ X0)) => (X7 @ X6)) & ! [X5 : a] : ? [X0 : a > $o] : ((X3 @ X0) & (X0 @ X5))) => ? [X8 : a > a > $o] : (X3 = (^[X9 : a > $o] : (! [X5 : a] : ((X9 @ X5) => ! [X6 : a] : ((X9 @ X6) <=> (X8 @ X5 @ X6))) & ? [X4 : a] : (X9 @ X4)))))),
% 15.32/3.33 file('/export/starexec/sandbox/tmp/tmp.pGYpFgmloW/DTF2THF_5056.p',cTHM262_D_EXT_pme)).
% 15.32/3.33 thf(f78,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : a,X0 : a,X1 : a] : (($false = (sK3 @ X0 @ X3)) | ($false = (sK3 @ X0 @ X1)) | ($false = (X2 @ X1)) | ($false = (sK2 @ X2)) | ($true = (X2 @ X3))) )),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f75])).
% 15.32/3.33 thf(f75,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : a,X0 : a,X1 : a] : (($false = (sK3 @ X0 @ X3)) | ($false = (sK2 @ X2)) | ($false = (sK3 @ X0 @ X1)) | ($false = (X2 @ X1)) | ($true = (X2 @ X3)) | ($true = $false)) )),
% 15.32/3.33 inference(superposition,[status(thm)],[f26,f40])).
% 15.32/3.33 thf(f40,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (($false = (sK2 @ X3)) | ($false = (X3 @ X2)) | ((sK2 @ X4) = $false) | ($true = (X4 @ X1)) | ($false = (X4 @ X2)) | ((X3 @ X1) = $false)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 15.32/3.33 thf(f39,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (($true = (X4 @ X1)) | ($false = (X3 @ X2)) | (((sK2 @ X3) & (sK2 @ X4)) = $false) | ((X3 @ X1) = $false) | ($false = (X4 @ X2))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 15.32/3.33 thf(f38,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (((X3 @ X1) = $false) | ($true = (X4 @ X1)) | ($false = (X4 @ X2)) | ($false = (((sK2 @ X3) & (sK2 @ X4)) & (X3 @ X2)))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 15.32/3.33 thf(f37,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (($true = (X4 @ X1)) | ($false = ((((sK2 @ X3) & (sK2 @ X4)) & (X3 @ X2)) & (X4 @ X2))) | ((X3 @ X1) = $false)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 15.32/3.33 thf(f36,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (($true = (X4 @ X1)) | ($false = (((((sK2 @ X3) & (sK2 @ X4)) & (X3 @ X2)) & (X4 @ X2)) & (X3 @ X1)))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 15.32/3.33 thf(f35,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : ((((((((sK2 @ X3) & (sK2 @ X4)) & (X3 @ X2)) & (X4 @ X2)) & (X3 @ X1)) => (X4 @ X1)) = $true)) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f34])).
% 15.32/3.33 thf(f34,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a,X4 : a > $o] : (($true = ((^[Y0 : a > $o]: ((((((sK2 @ X3) & (sK2 @ Y0)) & (X3 @ X2)) & (Y0 @ X2)) & (X3 @ X1)) => (Y0 @ X1))) @ X4))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f33])).
% 15.32/3.33 thf(f33,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a] : (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((((sK2 @ X3) & (sK2 @ Y0)) & (X3 @ X2)) & (Y0 @ X2)) & (X3 @ X1)) => (Y0 @ X1)))) = $true)) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f32])).
% 15.32/3.33 thf(f32,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a > $o,X1 : a] : (($true = ((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((((((sK2 @ Y0) & (sK2 @ Y1)) & (Y0 @ X2)) & (Y1 @ X2)) & (Y0 @ X1)) => (Y1 @ X1))))) @ X3))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f31])).
% 15.32/3.33 thf(f31,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((((((sK2 @ Y0) & (sK2 @ Y1)) & (Y0 @ X2)) & (Y1 @ X2)) & (Y0 @ X1)) => (Y1 @ X1)))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f30])).
% 15.32/3.33 thf(f30,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((((((sK2 @ Y1) & (sK2 @ Y2)) & (Y1 @ Y0)) & (Y2 @ Y0)) & (Y1 @ X1)) => (Y2 @ X1))))))) @ X2))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f29])).
% 15.32/3.33 thf(f29,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((((((sK2 @ Y1) & (sK2 @ Y2)) & (Y1 @ Y0)) & (Y2 @ Y0)) & (Y1 @ X1)) => (Y2 @ X1)))))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f28])).
% 15.32/3.33 thf(f28,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((sK2 @ Y2) & (sK2 @ Y3)) & (Y2 @ Y1)) & (Y3 @ Y1)) & (Y2 @ Y0)) => (Y3 @ Y0))))))))) @ X1))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f20])).
% 15.32/3.33 thf(f20,plain,(
% 15.32/3.33 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((((((sK2 @ Y2) & (sK2 @ Y3)) & (Y2 @ Y1)) & (Y3 @ Y1)) & (Y2 @ Y0)) => (Y3 @ Y0)))))))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 15.32/3.33 thf(f26,plain,(
% 15.32/3.33 ( ! [X1 : a] : (($true = (sK2 @ (sK3 @ X1)))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 15.32/3.33 thf(f97,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (((sK6 @ X1 @ (sK8 @ X1)) != (X1 @ (sK7 @ X1) @ (sK8 @ X1))) | ((sK2 @ (sK6 @ X1)) = $false) | ($false = (sK6 @ X1 @ X2))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f96])).
% 15.32/3.33 thf(f96,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $false) | ($false = ((sK6 @ X1 @ (sK8 @ X1)) = (X1 @ (sK7 @ X1) @ (sK8 @ X1))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f95])).
% 15.32/3.33 thf(f95,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $false) | (((^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ (sK7 @ X1) @ Y0))) @ (sK8 @ X1)) = $false)) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f93])).
% 15.32/3.33 thf(f93,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ (sK7 @ X1) @ Y0))))) | ($false = (sK6 @ X1 @ X2))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f92])).
% 15.32/3.33 thf(f92,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) = $false) | (((sK6 @ X1 @ (sK7 @ X1)) => (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ (sK7 @ X1) @ Y0))))) = $false) | ($false = (sK6 @ X1 @ X2))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f91])).
% 15.32/3.33 thf(f91,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((?? @ a @ (sK6 @ X1)) = $false) | ((sK2 @ (sK6 @ X1)) = $false) | (((sK6 @ X1 @ (sK7 @ X1)) => (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ (sK7 @ X1) @ Y0))))) = $false)) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f90])).
% 15.32/3.33 thf(f90,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (($false = ((^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))) @ (sK7 @ X1))) | ((?? @ a @ (sK6 @ X1)) = $false) | ((sK2 @ (sK6 @ X1)) = $false)) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f89])).
% 15.32/3.33 thf(f89,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))) | ((?? @ a @ (sK6 @ X1)) = $false) | ((sK2 @ (sK6 @ X1)) = $false)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f82])).
% 15.32/3.33 thf(f82,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) = $false) | ($false = ((?? @ a @ (sK6 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 15.32/3.33 thf(f73,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) != ((?? @ a @ (sK6 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f72])).
% 15.32/3.33 thf(f72,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) != ((^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2))))))))) @ (sK6 @ X1)))) )),
% 15.32/3.33 inference(negative_extensionality,[status(thm)],[f17])).
% 15.32/3.33 thf(f17,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2))))))))) != sK2)) )),
% 15.32/3.33 inference(equality_proxy_clausification,[status(thm)],[f16])).
% 15.32/3.33 thf(f16,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (($false = (sK2 = (^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (X1 @ Y1 @ Y2)))))))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f15])).
% 15.32/3.33 thf(f15,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : ((((^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))))))) @ X1) = $false)) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f13])).
% 15.32/3.33 thf(f13,plain,(
% 15.32/3.33 ((?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))))))) = $false)),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 15.32/3.33 thf(f1252,plain,(
% 15.32/3.33 spl0_4 | spl0_2),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f1251,f249,f278])).
% 15.32/3.33 thf(f249,definition,(
% 15.32/3.33 spl0_2 <=> ($true = (sK2 @ (sK6 @ sK3)))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 15.32/3.33 thf(f1251,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false)) ) | spl0_2),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f389,f250])).
% 15.32/3.33 thf(f250,plain,(
% 15.32/3.33 ($true != (sK2 @ (sK6 @ sK3))) | spl0_2),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f249])).
% 15.32/3.33 thf(f389,plain,(
% 15.32/3.33 ( ! [X0 : a] : (($true = (sK2 @ (sK6 @ sK3))) | ((sK6 @ sK3 @ X0) = $false)) )),
% 15.32/3.33 inference(duplicate_literal_removal,[status(thm)],[f374])).
% 15.32/3.33 thf(f374,plain,(
% 15.32/3.33 ( ! [X0 : a] : (($true = (sK2 @ (sK6 @ sK3))) | ((sK6 @ sK3 @ X0) = $false) | ($true = (sK2 @ (sK6 @ sK3)))) )),
% 15.32/3.33 inference(superposition,[status(thm)],[f26,f203])).
% 15.32/3.33 thf(f203,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (((X1 @ X2) = (sK6 @ X1)) | ($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $true)) )),
% 15.32/3.33 inference(negative_extensionality,[status(thm)],[f106])).
% 15.32/3.33 thf(f106,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (((X1 @ X2 @ X3) = (sK6 @ X1 @ X3)) | ((sK2 @ (sK6 @ X1)) = $true) | ($false = (sK6 @ X1 @ X2))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f105])).
% 15.32/3.33 thf(f105,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $true) | (((sK6 @ X1 @ X3) = (X1 @ X2 @ X3)) = $true)) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f104])).
% 15.32/3.33 thf(f104,plain,(
% 15.32/3.33 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $true) | ($true = ((^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ X2 @ Y0))) @ X3))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f103])).
% 15.32/3.33 thf(f103,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ X2 @ Y0)))) = $true)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f102])).
% 15.32/3.33 thf(f102,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) = $true) | ($true = ((sK6 @ X1 @ X2) => (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) = (X1 @ X2 @ Y0))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f101])).
% 15.32/3.33 thf(f101,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : ((((^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))) @ X2) = $true) | ((sK2 @ (sK6 @ X1)) = $true)) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f99])).
% 15.32/3.33 thf(f99,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))) | ((sK2 @ (sK6 @ X1)) = $true)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f81])).
% 15.32/3.33 thf(f81,plain,(
% 15.32/3.33 ( ! [X1 : a > a > $o] : (((sK2 @ (sK6 @ X1)) = $true) | ($true = ((?? @ a @ (sK6 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK6 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X1 @ Y1) = (X1 @ Y0 @ Y1)))))))))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 15.32/3.33 thf(f1227,plain,(
% 15.32/3.33 spl0_4 | spl0_9 | ~spl0_25),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f1226,f1159,f540,f278])).
% 15.32/3.33 thf(f1159,definition,(
% 15.32/3.33 spl0_25 <=> ($false = (sK6 @ sK3 @ (sK7 @ sK3)))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition])).
% 15.32/3.33 thf(f1226,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false)) ) | (spl0_9 | ~spl0_25)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f1222,f541])).
% 15.32/3.33 thf(f1222,plain,(
% 15.32/3.33 ( ! [X0 : a] : (($false = (sK2 @ (sK6 @ sK3))) | ((sK6 @ sK3 @ X0) = $false)) ) | ~spl0_25),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1220])).
% 15.32/3.33 thf(f1220,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ($false = (sK2 @ (sK6 @ sK3))) | ($true = $false)) ) | ~spl0_25),
% 15.32/3.33 inference(superposition,[status(thm)],[f94,f1161])).
% 15.32/3.33 thf(f1161,plain,(
% 15.32/3.33 ($false = (sK6 @ sK3 @ (sK7 @ sK3))) | ~spl0_25),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f1159])).
% 15.32/3.33 thf(f94,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (($true = (sK6 @ X1 @ (sK7 @ X1))) | ($false = (sK6 @ X1 @ X2)) | ((sK2 @ (sK6 @ X1)) = $false)) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f92])).
% 15.32/3.33 thf(f1208,plain,(
% 15.32/3.33 spl0_25 | ~spl0_6 | ~spl0_7 | spl0_9),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f1207,f540,f291,f284,f1159])).
% 15.32/3.33 thf(f1207,plain,(
% 15.32/3.33 ($false = (sK6 @ sK3 @ (sK7 @ sK3))) | (~spl0_6 | ~spl0_7 | spl0_9)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f1203,f541])).
% 15.32/3.33 thf(f1203,plain,(
% 15.32/3.33 ($false = (sK6 @ sK3 @ (sK7 @ sK3))) | ($false = (sK2 @ (sK6 @ sK3))) | (~spl0_6 | ~spl0_7)),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1200])).
% 15.32/3.33 thf(f1200,plain,(
% 15.32/3.33 ($false = (sK2 @ (sK6 @ sK3))) | ($false = (sK6 @ sK3 @ (sK7 @ sK3))) | ($true = $false) | (~spl0_6 | ~spl0_7)),
% 15.32/3.33 inference(superposition,[status(thm)],[f285,f1036])).
% 15.32/3.33 thf(f1036,plain,(
% 15.32/3.33 ( ! [X0 : a > $o] : (($true = (X0 @ (sK8 @ sK3))) | ((sK2 @ X0) = $false) | ((X0 @ (sK7 @ sK3)) = $false)) ) | ~spl0_7),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1028])).
% 15.32/3.33 thf(f1028,plain,(
% 15.32/3.33 ( ! [X0 : a > $o] : (($true = $false) | ((sK2 @ X0) = $false) | ($true = (X0 @ (sK8 @ sK3))) | ((X0 @ (sK7 @ sK3)) = $false)) ) | ~spl0_7),
% 15.32/3.33 inference(superposition,[status(thm)],[f123,f977])).
% 15.32/3.33 thf(f977,plain,(
% 15.32/3.33 ($true = (sK3 @ (sK8 @ sK3) @ (sK7 @ sK3))) | ~spl0_7),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f976])).
% 15.32/3.33 thf(f976,plain,(
% 15.32/3.33 ($true = (sK3 @ (sK8 @ sK3) @ (sK7 @ sK3))) | ($true = $false) | ~spl0_7),
% 15.32/3.33 inference(forward_demodulation,[status(thm)],[f972,f26])).
% 15.32/3.33 thf(f972,plain,(
% 15.32/3.33 ($true = (sK3 @ (sK8 @ sK3) @ (sK7 @ sK3))) | ((sK2 @ (sK3 @ (sK8 @ sK3))) = $false) | ~spl0_7),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f962])).
% 15.32/3.33 thf(f962,plain,(
% 15.32/3.33 ($true = $false) | ((sK2 @ (sK3 @ (sK8 @ sK3))) = $false) | ($true = (sK3 @ (sK8 @ sK3) @ (sK7 @ sK3))) | ~spl0_7),
% 15.32/3.33 inference(superposition,[status(thm)],[f27,f292])).
% 15.32/3.33 thf(f292,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($false = (X1 @ (sK8 @ sK3))) | ((X1 @ (sK7 @ sK3)) = $true) | ((sK2 @ X1) = $false)) ) | ~spl0_7),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f291])).
% 15.32/3.33 thf(f1155,plain,(
% 15.32/3.33 ~spl0_24),
% 15.32/3.33 inference(avatar_contradiction_clause,[status(thm)],[f1154])).
% 15.32/3.33 thf(f1154,plain,(
% 15.32/3.33 $false | ~spl0_24),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1144])).
% 15.32/3.33 thf(f1144,plain,(
% 15.32/3.33 ($true = $false) | ~spl0_24),
% 15.32/3.33 inference(superposition,[status(thm)],[f27,f1105])).
% 15.32/3.33 thf(f1105,plain,(
% 15.32/3.33 ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ~spl0_24),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f1103])).
% 15.32/3.33 thf(f1103,definition,(
% 15.32/3.33 spl0_24 <=> ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3)))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])).
% 15.32/3.33 thf(f1117,plain,(
% 15.32/3.33 spl0_4 | spl0_24 | spl0_6 | ~spl0_7 | spl0_9),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f1116,f540,f291,f284,f1103,f278])).
% 15.32/3.33 thf(f1116,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3)))) ) | (spl0_6 | ~spl0_7 | spl0_9)),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1115])).
% 15.32/3.33 thf(f1115,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ($true = $false)) ) | (spl0_6 | ~spl0_7 | spl0_9)),
% 15.32/3.33 inference(forward_demodulation,[status(thm)],[f1114,f26])).
% 15.32/3.33 thf(f1114,plain,(
% 15.32/3.33 ( ! [X0 : a] : (($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ((sK6 @ sK3 @ X0) = $false) | ($false = (sK2 @ (sK3 @ (sK7 @ sK3))))) ) | (spl0_6 | ~spl0_7 | spl0_9)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f1113,f286])).
% 15.32/3.33 thf(f286,plain,(
% 15.32/3.33 ((sK6 @ sK3 @ (sK8 @ sK3)) != $false) | spl0_6),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f284])).
% 15.32/3.33 thf(f1113,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ((sK6 @ sK3 @ (sK8 @ sK3)) = $false) | ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ($false = (sK2 @ (sK3 @ (sK7 @ sK3))))) ) | (~spl0_7 | spl0_9)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f1078,f541])).
% 15.32/3.33 thf(f1078,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ($false = (sK2 @ (sK6 @ sK3))) | ((sK6 @ sK3 @ (sK8 @ sK3)) = $false) | ($false = (sK2 @ (sK3 @ (sK7 @ sK3))))) ) | ~spl0_7),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f1062])).
% 15.32/3.33 thf(f1062,plain,(
% 15.32/3.33 ( ! [X0 : a] : (($false = (sK2 @ (sK3 @ (sK7 @ sK3)))) | ($false = (sK2 @ (sK6 @ sK3))) | ((sK6 @ sK3 @ X0) = $false) | ($false = (sK3 @ (sK7 @ sK3) @ (sK7 @ sK3))) | ($true = $false) | ((sK6 @ sK3 @ (sK8 @ sK3)) = $false)) ) | ~spl0_7),
% 15.32/3.33 inference(superposition,[status(thm)],[f1036,f270])).
% 15.32/3.33 thf(f270,plain,(
% 15.32/3.33 ( ! [X2 : a,X1 : a > a > $o] : (($false = (X1 @ (sK7 @ X1) @ (sK8 @ X1))) | ((sK2 @ (sK6 @ X1)) = $false) | ((sK6 @ X1 @ (sK8 @ X1)) = $false) | ($false = (sK6 @ X1 @ X2))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f97])).
% 15.32/3.33 thf(f922,plain,(
% 15.32/3.33 spl0_7 | spl0_4 | ~spl0_1 | spl0_6 | spl0_9),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f921,f540,f284,f246,f278,f291])).
% 15.32/3.33 thf(f246,definition,(
% 15.32/3.33 spl0_1 <=> ! [X2 : a > $o,X0 : a,X1 : a] : (((sK6 @ sK3 @ X1) = $false) | ($true = (X2 @ X0)) | ($false = (X2 @ X1)) | ((sK6 @ sK3 @ X0) = $false) | ($false = (sK2 @ X2)))),
% 15.32/3.33 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 15.32/3.33 thf(f921,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (((sK6 @ sK3 @ X0) = $false) | ((sK2 @ X1) = $false) | ($false = (X1 @ (sK8 @ sK3))) | ((X1 @ (sK7 @ sK3)) = $true)) ) | (~spl0_1 | spl0_6 | spl0_9)),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f898,f541])).
% 15.32/3.33 thf(f898,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (($false = (X1 @ (sK8 @ sK3))) | ((X1 @ (sK7 @ sK3)) = $true) | ($false = (sK2 @ (sK6 @ sK3))) | ((sK2 @ X1) = $false) | ((sK6 @ sK3 @ X0) = $false)) ) | (~spl0_1 | spl0_6)),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f887])).
% 15.32/3.33 thf(f887,plain,(
% 15.32/3.33 ( ! [X0 : a,X1 : a > $o] : (($false = (X1 @ (sK8 @ sK3))) | ($true = $false) | ($false = (sK2 @ (sK6 @ sK3))) | ((X1 @ (sK7 @ sK3)) = $true) | ((sK2 @ X1) = $false) | ((sK6 @ sK3 @ X0) = $false)) ) | (~spl0_1 | spl0_6)),
% 15.32/3.33 inference(superposition,[status(thm)],[f94,f529])).
% 15.32/3.33 thf(f529,plain,(
% 15.32/3.33 ( ! [X0 : a > $o,X1 : a] : (((sK6 @ sK3 @ X1) = $false) | ((sK2 @ X0) = $false) | ($true = (X0 @ X1)) | ((X0 @ (sK8 @ sK3)) = $false)) ) | (~spl0_1 | spl0_6)),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f505])).
% 15.32/3.33 thf(f505,plain,(
% 15.32/3.33 ( ! [X0 : a > $o,X1 : a] : (((sK2 @ X0) = $false) | ($true = (X0 @ X1)) | ($false != $false) | ((sK6 @ sK3 @ X1) = $false) | ((X0 @ (sK8 @ sK3)) = $false)) ) | (~spl0_1 | spl0_6)),
% 15.32/3.33 inference(superposition,[status(thm)],[f286,f247])).
% 15.32/3.33 thf(f247,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X0 : a,X1 : a] : (((sK6 @ sK3 @ X1) = $false) | ($true = (X2 @ X0)) | ($false = (sK2 @ X2)) | ($false = (X2 @ X1)) | ((sK6 @ sK3 @ X0) = $false)) ) | ~spl0_1),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f246])).
% 15.32/3.33 thf(f667,plain,(
% 15.32/3.33 spl0_4 | ~spl0_9),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f666,f540,f278])).
% 15.32/3.33 thf(f666,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false)) ) | ~spl0_9),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f665])).
% 15.32/3.33 thf(f665,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false) | ($true = $false)) ) | ~spl0_9),
% 15.32/3.33 inference(forward_demodulation,[status(thm)],[f389,f542])).
% 15.32/3.33 thf(f542,plain,(
% 15.32/3.33 ($false = (sK2 @ (sK6 @ sK3))) | ~spl0_9),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f540])).
% 15.32/3.33 thf(f605,plain,(
% 15.32/3.33 ~spl0_4),
% 15.32/3.33 inference(avatar_contradiction_clause,[status(thm)],[f604])).
% 15.32/3.33 thf(f604,plain,(
% 15.32/3.33 $false | ~spl0_4),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f575])).
% 15.32/3.33 thf(f575,plain,(
% 15.32/3.33 ($true = $false) | ~spl0_4),
% 15.32/3.33 inference(superposition,[status(thm)],[f279,f139])).
% 15.32/3.33 thf(f139,plain,(
% 15.32/3.33 ( ! [X0 : a > a > $o] : (($true = (sK6 @ X0 @ (sK4 @ (sK6 @ X0))))) )),
% 15.32/3.33 inference(subsumption_resolution,[status(thm)],[f136,f44])).
% 15.32/3.33 thf(f44,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($true = (X1 @ (sK4 @ X1))) | ((sK2 @ X1) = $false)) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f43])).
% 15.32/3.33 thf(f43,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (((sK2 @ X1) = $false) | ($true = (?? @ a @ X1))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 15.32/3.33 thf(f42,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($true = ((sK2 @ X1) => (?? @ a @ X1)))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f41])).
% 15.32/3.33 thf(f41,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0))) @ X1))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f18])).
% 15.32/3.33 thf(f18,plain,(
% 15.32/3.33 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0)))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 15.32/3.33 thf(f136,plain,(
% 15.32/3.33 ( ! [X0 : a > a > $o] : (($false != (sK2 @ (sK6 @ X0))) | ($true = (sK6 @ X0 @ (sK4 @ (sK6 @ X0))))) )),
% 15.32/3.33 inference(equality_resolution,[status(thm)],[f88])).
% 15.32/3.33 thf(f88,plain,(
% 15.32/3.33 ( ! [X0 : a > a > $o,X1 : a > $o] : (((sK6 @ X0 @ (sK5 @ X1 @ (sK6 @ X0))) != (X1 @ (sK5 @ X1 @ (sK6 @ X0)))) | ($true = (X1 @ (sK4 @ X1))) | ($false != (sK2 @ (sK6 @ X0)))) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f87])).
% 15.32/3.33 thf(f87,plain,(
% 15.32/3.33 ( ! [X0 : a > a > $o,X1 : a > $o] : (((sK6 @ X0 @ (sK5 @ X1 @ (sK6 @ X0))) != (X1 @ (sK5 @ X1 @ (sK6 @ X0)))) | ($false != (sK2 @ (sK6 @ X0))) | ($true = (?? @ a @ X1))) )),
% 15.32/3.33 inference(boolean_simplification,[status(thm)],[f84])).
% 15.32/3.33 thf(f84,plain,(
% 15.32/3.33 ( ! [X0 : a > a > $o,X1 : a > $o] : ((($false & (!! @ a @ (^[Y0 : a]: ((sK6 @ X0 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ X0 @ Y1) = (X0 @ Y0 @ Y1)))))))) != (sK2 @ (sK6 @ X0))) | ($true = (?? @ a @ X1)) | ((sK6 @ X0 @ (sK5 @ X1 @ (sK6 @ X0))) != (X1 @ (sK5 @ X1 @ (sK6 @ X0))))) )),
% 15.32/3.33 inference(superposition,[status(thm)],[f73,f55])).
% 15.32/3.33 thf(f55,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : (a > $o) > $o,X1 : a > $o] : (($false = (X3 @ X2)) | ((X3 @ X1) = $true) | ((X2 @ (sK5 @ X1 @ X2)) != (X1 @ (sK5 @ X1 @ X2)))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 15.32/3.33 thf(f54,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : (a > $o) > $o,X1 : a > $o] : (((X2 @ (sK5 @ X1 @ X2)) != (X1 @ (sK5 @ X1 @ X2))) | ($true = ((X3 @ X2) => (X3 @ X1)))) )),
% 15.32/3.33 inference(equality_proxy_clausification,[status(thm)],[f53])).
% 15.32/3.33 thf(f53,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : (a > $o) > $o,X1 : a > $o] : (($false = ((X2 @ (sK5 @ X1 @ X2)) = (X1 @ (sK5 @ X1 @ X2)))) | ($true = ((X3 @ X2) => (X3 @ X1)))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f52])).
% 15.32/3.33 thf(f52,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X3 : (a > $o) > $o,X1 : a > $o] : (($false = ((X2 @ (sK5 @ X1 @ X2)) = (X1 @ (sK5 @ X1 @ X2)))) | ($true = ((^[Y0 : (a > $o) > $o]: ((Y0 @ X2) => (Y0 @ X1))) @ X3))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f51])).
% 15.32/3.33 thf(f51,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((Y0 @ X2) => (Y0 @ X1))))) | ($false = ((X2 @ (sK5 @ X1 @ X2)) = (X1 @ (sK5 @ X1 @ X2))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f50])).
% 15.32/3.33 thf(f50,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((Y0 @ X2) => (Y0 @ X1))))) | (((^[Y0 : a]: ((X2 @ Y0) = (X1 @ Y0))) @ (sK5 @ X1 @ X2)) = $false)) )),
% 15.32/3.33 inference(sigma_clausification,[status(thm)],[f49])).
% 15.32/3.33 thf(f49,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X2 @ Y0) = (X1 @ Y0)))) = $false) | ($true = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((Y0 @ X2) => (Y0 @ X1)))))) )),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f48])).
% 15.32/3.33 thf(f48,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((X2 @ Y0) = (X1 @ Y0)))) => (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((Y0 @ X2) => (Y0 @ X1))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f47])).
% 15.32/3.33 thf(f47,plain,(
% 15.32/3.33 ( ! [X2 : a > $o,X1 : a > $o] : ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) = (X1 @ Y1)))) => (!! @ ((a > $o) > $o) @ (^[Y1 : (a > $o) > $o]: ((Y1 @ Y0) => (Y1 @ X1)))))) @ X2) = $true)) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f46])).
% 15.32/3.33 thf(f46,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) = (X1 @ Y1)))) => (!! @ ((a > $o) > $o) @ (^[Y1 : (a > $o) > $o]: ((Y1 @ Y0) => (Y1 @ X1))))))))) )),
% 15.32/3.33 inference(beta_eta_normalization,[status(thm)],[f45])).
% 15.32/3.33 thf(f45,plain,(
% 15.32/3.33 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0)))))))) @ X1))) )),
% 15.32/3.33 inference(pi_clausification,[status(thm)],[f10])).
% 15.32/3.33 thf(f10,plain,(
% 15.32/3.33 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (!! @ ((a > $o) > $o) @ (^[Y2 : (a > $o) > $o]: ((Y2 @ Y1) => (Y2 @ Y0))))))))))),
% 15.32/3.33 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 15.32/3.33 thf(f279,plain,(
% 15.32/3.33 ( ! [X0 : a] : (((sK6 @ sK3 @ X0) = $false)) ) | ~spl0_4),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f278])).
% 15.32/3.33 thf(f268,plain,(
% 15.32/3.33 spl0_1 | ~spl0_2),
% 15.32/3.33 inference(avatar_split_clause,[status(thm)],[f265,f249,f246])).
% 15.32/3.33 thf(f265,plain,(
% 15.32/3.33 ( ! [X2 : a,X0 : a,X1 : a > $o] : (((sK6 @ sK3 @ X0) = $false) | ($false = (X1 @ X0)) | ($false = (sK6 @ sK3 @ X2)) | ((X1 @ X2) = $true) | ((sK2 @ X1) = $false)) ) | ~spl0_2),
% 15.32/3.33 inference(trivial_inequality_removal,[status(thm)],[f259])).
% 15.32/3.33 thf(f259,plain,(
% 15.32/3.33 ( ! [X2 : a,X0 : a,X1 : a > $o] : (((sK6 @ sK3 @ X0) = $false) | ($false = (sK6 @ sK3 @ X2)) | ((X1 @ X2) = $true) | ($true = $false) | ($false = (X1 @ X0)) | ((sK2 @ X1) = $false)) ) | ~spl0_2),
% 15.32/3.33 inference(superposition,[status(thm)],[f251,f40])).
% 15.32/3.33 thf(f251,plain,(
% 15.32/3.33 ($true = (sK2 @ (sK6 @ sK3))) | ~spl0_2),
% 15.32/3.33 inference(avatar_component_clause,[status(thm)],[f249])).
% 15.32/3.33 % SZS output end Proof for DTF2THF_5056
% 15.32/3.33 % (5261)------------------------------
% 15.32/3.33 % (5261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.32/3.33 % (5261)Termination reason: Refutation
% 15.32/3.33
% 15.32/3.33 % (5261)Memory used [KB]: 6524
% 15.32/3.33 % (5261)Time elapsed: 0.168 s
% 15.32/3.33 % (5261)Instructions burned: 481 (million)
% 15.32/3.33 % (5261)------------------------------
% 15.32/3.33 % (5261)------------------------------
% 15.32/3.33 % (5152)Success in time 2.102 s
%------------------------------------------------------------------------------