%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV466^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:41:18 AM UTC 2026
% Result : Theorem 6.95s 2.36s
% Output : Refutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 525 ( 181 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 739 ( 23 ~; 76 |; 24 &; 602 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 4 con; 0-5 aty)
% ( 0 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 218 ( 6 ^; 186 !; 26 ?; 218 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(type_def_7,type,
sK1: $tType ).
thf(func_def_0,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
'const/sets/IMAGE':
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 > $o ) ).
thf(func_def_11,type,
sK2: sK0 > sK1 ).
thf(func_def_12,type,
sK3: sK0 > $o ).
thf(func_def_13,type,
sK4: sK1 > $o ).
thf(func_def_14,type,
sK5: sK1 > sK0 ).
thf(func_def_15,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X0 > X1 ) ).
thf(func_def_16,type,
sK7:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_17,type,
ph8:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK9: sK1 ).
thf(f1419,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f1418]) ).
thf(f1418,plain,
$true = $false,
inference(forward_demodulation,[status(thm)],[f1417,f246]) ).
thf(f246,plain,
( ( sK4 @ sK9 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f245]) ).
thf(f245,plain,
( ( $true = $false )
| ( ( sK4 @ sK9 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f241]) ).
thf(f241,plain,
( ( $true = $false )
| ( ( sK4 @ sK9 )
= $false )
| ( ( sK4 @ sK9 )
= $false ) ),
inference(superposition,[status(thm)],[f130,f228]) ).
thf(f228,plain,
( ( ( sK3 @ ( sK5 @ sK9 ) )
= $false )
| ( ( sK4 @ sK9 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f221]) ).
thf(f221,plain,
( ( ( sK4 @ sK9 )
= $false )
| ( $true = $false )
| ( ( sK3 @ ( sK5 @ sK9 ) )
= $false ) ),
inference(superposition,[status(thm)],[f217,f39]) ).
thf(f39,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( X1 @ X2 )
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( X1 @ X2 )
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X2: X0 > $o,X3: X0] :
( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
= ( X2 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/IN_') ).
thf(f217,plain,
( ( ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK9 ) @ sK3 )
= $false )
| ( ( sK4 @ sK9 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f216]) ).
thf(f216,plain,
( ( ( sK4 @ sK9 )
= $false )
| ( ( sK4 @ sK9 )
= $false )
| ( ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK9 ) @ sK3 )
= $false ) ),
inference(equality_resolution,[status(thm)],[f215]) ).
thf(f215,plain,
! [X0: sK1] :
( ( sK9 != X0 )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ sK9 )
= $false )
| ( ( 'const/sets/IN' @ sK0 @ ( sK5 @ X0 ) @ sK3 )
= $false ) ),
inference(superposition,[status(thm)],[f212,f105]) ).
thf(f105,plain,
! [X0: sK1] :
( ( ( sK2 @ ( sK5 @ X0 ) )
= X0 )
| ( ( sK4 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f97]) ).
thf(f97,plain,
! [X0: sK1] :
( ( ( sK4 @ X0 )
= $false )
| ( ( sK2 @ ( sK5 @ X0 ) )
= X0 )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f23,f39]) ).
thf(f23,plain,
! [X6: sK1] :
( ( $true
!= ( 'const/sets/IN' @ sK1 @ X6 @ sK4 ) )
| ( ( sK2 @ ( sK5 @ X6 ) )
= X6 ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
( ! [X5: sK0] :
( ( 'const/sets/IN' @ sK0 @ X5 @ sK3 )
= ( 'const/sets/IN' @ sK1 @ ( sK2 @ X5 ) @ sK4 ) )
& ! [X6: sK1] :
( ( $true
!= ( 'const/sets/IN' @ sK1 @ X6 @ sK4 ) )
| ( ( sK2 @ ( sK5 @ X6 ) )
= X6 ) )
& ( sK4
!= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f15,f17,f16]) ).
thf(f16,plain,
( ? [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > $o] :
( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
= ( 'const/sets/IN' @ X1 @ ( X2 @ X5 ) @ X4 ) )
& ! [X6: X1] :
( ( ( 'const/sets/IN' @ X1 @ X6 @ X4 )
!= $true )
| ? [X7: X0] :
( ( X2 @ X7 )
= X6 ) )
& ( ( 'const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3 )
!= X4 ) )
=> ( ! [X5: sK0] :
( ( 'const/sets/IN' @ sK0 @ X5 @ sK3 )
= ( 'const/sets/IN' @ sK1 @ ( sK2 @ X5 ) @ sK4 ) )
& ! [X6: sK1] :
( ( $true
!= ( 'const/sets/IN' @ sK1 @ X6 @ sK4 ) )
| ? [X7: sK0] :
( ( sK2 @ X7 )
= X6 ) )
& ( sK4
!= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X6: sK1] :
( ? [X7: sK0] :
( ( sK2 @ X7 )
= X6 )
=> ( ( sK2 @ ( sK5 @ X6 ) )
= X6 ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
? [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > $o] :
( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
= ( 'const/sets/IN' @ X1 @ ( X2 @ X5 ) @ X4 ) )
& ! [X6: X1] :
( ( ( 'const/sets/IN' @ X1 @ X6 @ X4 )
!= $true )
| ? [X7: X0] :
( ( X2 @ X7 )
= X6 ) )
& ( ( 'const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3 )
!= X4 ) ),
inference(flattening,[status(thm)],[f14]) ).
thf(f14,plain,
? [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > $o] :
( ( ( 'const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3 )
!= X4 )
& ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
= ( 'const/sets/IN' @ X1 @ ( X2 @ X5 ) @ X4 ) )
& ! [X6: X1] :
( ( ( 'const/sets/IN' @ X1 @ X6 @ X4 )
!= $true )
| ? [X7: X0] :
( ( X2 @ X7 )
= X6 ) ) ),
inference(ennf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
~ ! [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > $o] :
( ( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
= ( 'const/sets/IN' @ X1 @ ( X2 @ X5 ) @ X4 ) )
& ! [X6: X1] :
( ( ( 'const/sets/IN' @ X1 @ X6 @ X4 )
= $true )
=> ? [X7: X0] :
( ( X2 @ X7 )
= X6 ) ) )
=> ( ( 'const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3 )
= X4 ) ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
~ ! [X0: $tType,X1: $tType,X2: X0 > X1,X3: X0 > $o,X4: X1 > $o] :
( ( ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
= ( 'const/sets/IN' @ X1 @ ( X2 @ X5 ) @ X4 ) )
& ! [X6: X1] :
( ( 'const/sets/IN' @ X1 @ X6 @ X4 )
=> ? [X7: X0] :
( ( X2 @ X7 )
= X6 ) ) )
=> ( ( 'const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3 )
= X4 ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X0: $tType,X3: $tType,X4: X0 > X3,X5: X0 > $o,X6: X3 > $o] :
( ( ! [X7: X0] :
( ( 'const/sets/IN' @ X3 @ ( X4 @ X7 ) @ X6 )
= ( 'const/sets/IN' @ X0 @ X7 @ X5 ) )
& ! [X7: X3] :
( ( 'const/sets/IN' @ X3 @ X7 @ X6 )
=> ? [X8: X0] :
( ( X4 @ X8 )
= X7 ) ) )
=> ( ( 'const/sets/IMAGE' @ X0 @ X3 @ X4 @ X5 )
= X6 ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f4,conjecture,
! [X0: $tType,X3: $tType,X4: X0 > X3,X5: X0 > $o,X6: X3 > $o] :
( ( ! [X7: X0] :
( ( 'const/sets/IN' @ X3 @ ( X4 @ X7 ) @ X6 )
= ( 'const/sets/IN' @ X0 @ X7 @ X5 ) )
& ! [X7: X3] :
( ( 'const/sets/IN' @ X3 @ X7 @ X6 )
=> ? [X8: X0] :
( ( X4 @ X8 )
= X7 ) ) )
=> ( ( 'const/sets/IMAGE' @ X0 @ X3 @ X4 @ X5 )
= X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/SURJECTIVE_IMAGE_EQ_') ).
thf(f212,plain,
! [X0: sK0] :
( ( ( sK2 @ X0 )
!= sK9 )
| ( ( sK4 @ sK9 )
= $false )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f211]) ).
thf(f211,plain,
! [X0: sK0] :
( ( ( sK4 @ sK9 )
= $false )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) )
| ( ( sK2 @ X0 )
!= sK9 )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f57,f116]) ).
thf(f116,plain,
! [X0: $tType,X2: $tType,X3: X2 > X0,X1: X0,X4: X2 > $o,X5: X2] :
( ( ( 'const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1 )
= $true )
| ( $false
= ( 'const/sets/IN' @ X2 @ X5 @ X4 ) )
| ( ( X3 @ X5 )
!= X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f115]) ).
thf(f115,plain,
! [X0: $tType,X2: $tType,X3: X2 > X0,X1: X0,X4: X2 > $o,X5: X2] :
( ( ( X3 @ X5 )
!= X1 )
| ( $true = $false )
| ( $false
= ( 'const/sets/IN' @ X2 @ X5 @ X4 ) )
| ( ( 'const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1 )
= $true ) ),
inference(superposition,[status(thm)],[f38,f35]) ).
thf(f35,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0,X5: X1] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ X1 @ X5 @ X3 ) )
| ( ( X4 @ X5 )
!= X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0,X5: X1] :
( ( $false
= ( ( X4 @ X5 )
= X2 ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $true )
| ( $false
= ( 'const/sets/IN' @ X1 @ X5 @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0,X5: X1] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $true )
| ( $false
= ( ( 'const/sets/IN' @ X1 @ X5 @ X3 )
& ( ( X4 @ X5 )
= X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0,X5: X1] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $true )
| ( ( ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) )
@ X5 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $true )
| ( $false
= ( ?? @ X1
@ ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= ( ?? @ X1
@ ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= ( ?? @ X1
@ ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
? [X5: X1] :
( ( ( ( X4 @ X5 )
= X2 )
& ( 'const/sets/IN' @ X1 @ X5 @ X3 ) )
= ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X1: $tType,X0: $tType,X3: X1,X4: X0 > $o,X5: X0 > X1] :
? [X6: X0] :
( ( ( ( X5 @ X6 )
= X3 )
& ( 'const/sets/IN' @ X0 @ X6 @ X4 ) )
= ( 'const/sets/IN' @ X1 @ X3 @ ( 'const/sets/IMAGE' @ X0 @ X1 @ X5 @ X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/IN_IMAGE_') ).
thf(f38,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( $false
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f57,plain,
( ( $false
= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9 ) )
| ( ( sK4 @ sK9 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
( ( sK4 @ sK9 )
!= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9 ) ),
inference(negative_extensionality,[status(thm)],[f22]) ).
thf(f22,plain,
( sK4
!= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f130,plain,
! [X0: sK1] :
( ( ( sK3 @ ( sK5 @ X0 ) )
= $true )
| ( ( sK4 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f127]) ).
thf(f127,plain,
! [X0: sK1] :
( ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK3 @ ( sK5 @ X0 ) )
= $true ) ),
inference(superposition,[status(thm)],[f122,f105]) ).
thf(f122,plain,
! [X0: sK0] :
( ( ( sK4 @ ( sK2 @ X0 ) )
= $false )
| ( $true
= ( sK3 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f119]) ).
thf(f119,plain,
! [X0: sK0] :
( ( $true = $false )
| ( ( sK4 @ ( sK2 @ X0 ) )
= $false )
| ( $true
= ( sK3 @ X0 ) ) ),
inference(superposition,[status(thm)],[f106,f38]) ).
thf(f106,plain,
! [X0: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) )
| ( ( sK4 @ ( sK2 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f98]) ).
thf(f98,plain,
! [X0: sK0] :
( ( $true = $false )
| ( ( sK4 @ ( sK2 @ X0 ) )
= $false )
| ( $true
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) ) ),
inference(superposition,[status(thm)],[f36,f39]) ).
thf(f36,plain,
! [X5: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK1 @ ( sK2 @ X5 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ X5 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X5: sK0] :
( ( 'const/sets/IN' @ sK0 @ X5 @ sK3 )
= ( 'const/sets/IN' @ sK1 @ ( sK2 @ X5 ) @ sK4 ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f1417,plain,
( $true
= ( sK4 @ sK9 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1400]) ).
thf(f1400,plain,
( ( $true
= ( sK4 @ sK9 ) )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f255,f811]) ).
thf(f811,plain,
! [X0: sK1] :
( ( ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0 )
= $false )
| ( ( sK4 @ X0 )
= $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f796]) ).
thf(f796,plain,
! [X0: sK1] :
( ( ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0 )
= $false )
| ( ( sK4 @ X0 )
= $true )
| ( ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f390,f264]) ).
thf(f264,plain,
! [X0: $tType,X2: $tType,X3: X2 > X0,X1: X0,X4: X2 > $o] :
( ( ( X3 @ ( sK6 @ X0 @ X2 @ X4 @ X3 @ X1 ) )
= X1 )
| ( ( 'const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f259]) ).
thf(f259,plain,
! [X0: $tType,X2: $tType,X3: X2 > X0,X1: X0,X4: X2 > $o] :
( ( ( X3 @ ( sK6 @ X0 @ X2 @ X4 @ X3 @ X1 ) )
= X1 )
| ( $true = $false )
| ( ( 'const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1 )
= $false ) ),
inference(superposition,[status(thm)],[f31,f39]) ).
thf(f31,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false )
| ( ( X4 @ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) )
= X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false )
| ( ( ( X4 @ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) )
= X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false )
| ( $true
= ( ( 'const/sets/IN' @ X1 @ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) @ X3 )
& ( ( X4 @ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) )
= X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f27]) ).
thf(f27,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false )
| ( ( ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) )
@ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( $true
= ( ?? @ X1
@ ^ [Y0: X1] :
( ( 'const/sets/IN' @ X1 @ Y0 @ X3 )
& ( ( X4 @ Y0 )
= X2 ) ) ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f20]) ).
thf(f390,plain,
! [X0: $tType,X2: sK0 > X0,X1: X0] :
( ( $true
= ( sK4 @ ( sK2 @ ( sK6 @ X0 @ sK0 @ sK3 @ X2 @ X1 ) ) ) )
| ( $false
= ( 'const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK3 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f386]) ).
thf(f386,plain,
! [X0: $tType,X2: sK0 > X0,X1: X0] :
( ( $true = $false )
| ( $true
= ( sK4 @ ( sK2 @ ( sK6 @ X0 @ sK0 @ sK3 @ X2 @ X1 ) ) ) )
| ( $false
= ( 'const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK3 @ X1 ) ) ),
inference(superposition,[status(thm)],[f39,f301]) ).
thf(f301,plain,
! [X0: $tType,X2: X0,X1: sK0 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK3 ) )
= $false )
| ( $true
= ( sK4 @ ( sK2 @ ( sK6 @ X0 @ sK0 @ sK3 @ X1 @ X2 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f294]) ).
thf(f294,plain,
! [X0: $tType,X2: X0,X1: sK0 > X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK3 ) )
= $false )
| ( $true
= ( sK4 @ ( sK2 @ ( sK6 @ X0 @ sK0 @ sK3 @ X1 @ X2 ) ) ) )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f83,f30]) ).
thf(f30,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1 > $o,X4: X1 > X0] :
( ( $true
= ( 'const/sets/IN' @ X1 @ ( sK6 @ X0 @ X1 @ X3 @ X4 @ X2 ) @ X3 ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f83,plain,
! [X0: sK0] :
( ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) )
| ( ( sK4 @ ( sK2 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f79]) ).
thf(f79,plain,
! [X0: sK0] :
( ( $true = $false )
| ( $false
= ( 'const/sets/IN' @ sK0 @ X0 @ sK3 ) )
| ( ( sK4 @ ( sK2 @ X0 ) )
= $true ) ),
inference(superposition,[status(thm)],[f37,f38]) ).
thf(f37,plain,
! [X5: sK0] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ ( sK2 @ X5 ) @ sK4 ) )
| ( ( 'const/sets/IN' @ sK0 @ X5 @ sK3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f255,plain,
( $true
= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9 ) ),
inference(trivial_inequality_removal,[status(thm)],[f250]) ).
thf(f250,plain,
( ( $true = $false )
| ( $true
= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9 ) ) ),
inference(backward_demodulation,[status(thm)],[f56,f246]) ).
thf(f56,plain,
( ( $true
= ( 'const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9 ) )
| ( $true
= ( sK4 @ sK9 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV466^1 : TPTP v9.2.1. Released v7.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.32 % Computer : n023.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue Feb 24 12:48:49 EST 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.46 ---- Original DTF file ---
% 0.18/0.46 thf(spec,logic,$$dhol).
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 % File : SEV466^1 : TPTP v9.2.1. Released v7.0.0.
% 0.18/0.46 % Domain : Analysis
% 0.18/0.46 % Problem : SURJECTIVE_IMAGE_EQ
% 0.18/0.46 % Version : Especial.
% 0.18/0.46 % English :
% 0.18/0.46
% 0.18/0.46 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.18/0.46 % Source : [Kal16]
% 0.18/0.46 % Names : SURJECTIVE_IMAGE_EQ_.p [Kal16]
% 0.18/0.46
% 0.18/0.46 % Status : Theorem
% 0.18/0.46 % Rating : 0.33 v8.1.0, 0.25 v7.5.0, 0.67 v7.2.0, 0.50 v7.1.0
% 0.18/0.46 % Syntax : Number of formulae : 6 ( 3 unt; 2 typ; 0 def)
% 0.18/0.46 % Number of atoms : 19 ( 9 equ; 0 cnn)
% 0.18/0.46 % Maximal formula atoms : 4 ( 4 avg)
% 0.18/0.46 % Number of connectives : 40 ( 0 ~; 0 |; 2 &; 36 @)
% 0.18/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.18/0.46 % Maximal formula depth : 13 ( 7 avg)
% 0.18/0.46 % Number of types : 1 ( 0 usr)
% 0.18/0.46 % Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% 0.18/0.46 % Number of symbols : 3 ( 2 usr; 0 con; 2-5 aty)
% 0.18/0.46 % Number of variables : 24 ( 0 ^; 19 !; 2 ?; 24 :)
% 0.18/0.46 % ( 3 !>; 0 ?*; 0 @-; 0 @+)
% 0.18/0.46 % SPC : TH1_THM_EQU_NAR
% 0.18/0.46
% 0.18/0.46 % Comments : Exported from core HOL Light.
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 thf('thf_const_const/sets/IN',type,
% 0.18/0.46 'const/sets/IN':
% 0.18/0.46 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.18/0.46
% 0.18/0.46 thf('thf_const_const/sets/IMAGE',type,
% 0.18/0.46 'const/sets/IMAGE':
% 0.18/0.46 !>[A: $tType,B: $tType] : ( ( A > B ) > ( A > $o ) > B > $o ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/IN_',axiom,
% 0.18/0.46 ! [A: $tType,P: A > $o,A0: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 0.18/0.46 = ( P @ A0 ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/IN_IMAGE_',axiom,
% 0.18/0.46 ! [B: $tType,A: $tType,A0: B,A1: A > $o,A2: A > B] :
% 0.18/0.46 ( ( 'const/sets/IN' @ B @ A0 @ ( 'const/sets/IMAGE' @ A @ B @ A2 @ A1 ) )
% 0.18/0.46 = ( ? [A3: A] :
% 0.18/0.46 ( ( A0
% 0.18/0.46 = ( A2 @ A3 ) )
% 0.18/0.46 & ( 'const/sets/IN' @ A @ A3 @ A1 ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/EXTENSION_',axiom,
% 0.18/0.46 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 0.18/0.46 ( ( A0 = A1 )
% 0.18/0.46 = ( ! [A2: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.18/0.46 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/SURJECTIVE_IMAGE_EQ_',conjecture,
% 0.18/0.46 ! [A: $tType,A0: $tType,A1: A > A0,A2: A > $o,A3: A0 > $o] :
% 0.18/0.46 ( ( ! [A4: A0] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A0 @ A4 @ A3 )
% 0.18/0.46 => ? [A5: A] :
% 0.18/0.46 ( ( A1 @ A5 )
% 0.18/0.46 = A4 ) )
% 0.18/0.46 & ! [A4: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A0 @ ( A1 @ A4 ) @ A3 )
% 0.18/0.46 = ( 'const/sets/IN' @ A @ A4 @ A2 ) ) )
% 0.18/0.46 => ( ( 'const/sets/IMAGE' @ A @ A0 @ A1 @ A2 )
% 0.18/0.46 = A3 ) ) ).
% 0.18/0.46
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 ------------------------
% 1.55/1.34 ---- Embedded in THF ---
% 1.55/1.34 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.55/1.34 %%% Generated on Tue Feb 24 12:48:50 EST 2026
% 1.55/1.34 %%% using '$$dhol' embedding, version 1.3.0.
% 1.55/1.34 %%% Logic specification used:
% 1.55/1.34 %%% thf(spec, logic, $$dhol).
% 1.55/1.34
% 1.55/1.34 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2DTF29506.p
% See solution above
% 1.55/1.34 ------------------------
% 1.55/1.34 ---- Cleaned THF ---
% 1.55/1.34 thf('thf_const_const/sets/IN',type,
% 1.55/1.34 'const/sets/IN':
% 1.55/1.34 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.55/1.34
% 1.55/1.34 thf('thf_const_const/sets/IMAGE',type,
% 1.55/1.34 'const/sets/IMAGE':
% 1.55/1.34 !>[A: $tType,B: $tType] : ( ( A > B ) > ( A > $o ) > B > $o ) ).
% 1.55/1.34
% 1.55/1.34 thf('thm/sets/IN_',axiom,
% 1.55/1.34 ! [A: $tType,P: A > $o,A0: A] :
% 1.55/1.34 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 1.55/1.34 = ( P @ A0 ) ) ).
% 1.55/1.34
% 1.55/1.34 thf('thm/sets/IN_IMAGE_',axiom,
% 1.55/1.34 ! [B: $tType,A: $tType,A0: B,A1: A > $o,A2: A > B] :
% 1.55/1.34 ( ( 'const/sets/IN' @ B @ A0 @ ( 'const/sets/IMAGE' @ A @ B @ A2 @ A1 ) )
% 1.55/1.34 = ( ? [A3: A] :
% 1.55/1.34 ( ( A0
% 1.55/1.34 = ( A2 @ A3 ) )
% 1.55/1.34 & ( 'const/sets/IN' @ A @ A3 @ A1 ) ) ) ) ).
% 1.55/1.34
% 1.55/1.34 thf('thm/sets/EXTENSION_',axiom,
% 1.55/1.34 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 1.55/1.34 ( ( A0 = A1 )
% 1.55/1.34 = ( ! [A2: A] :
% 1.55/1.34 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.55/1.34 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 1.55/1.34
% 1.55/1.34 thf('thm/sets/SURJECTIVE_IMAGE_EQ_',conjecture,
% 1.55/1.34 ! [A: $tType,A0: $tType,A1: A > A0,A2: A > $o,A3: A0 > $o] :
% 1.55/1.34 ( ( ! [A4: A0] :
% 1.55/1.34 ( ( 'const/sets/IN' @ A0 @ A4 @ A3 )
% 1.55/1.34 => ? [A5: A] :
% 1.55/1.34 ( ( A1 @ A5 )
% 1.55/1.34 = A4 ) )
% 1.55/1.34 & ! [A4: A] :
% 1.55/1.34 ( ( 'const/sets/IN' @ A0 @ ( A1 @ A4 ) @ A3 )
% 1.55/1.34 = ( 'const/sets/IN' @ A @ A4 @ A2 ) ) )
% 1.55/1.34 => ( ( 'const/sets/IMAGE' @ A @ A0 @ A1 @ A2 )
% 1.55/1.34 = A3 ) ) ).
% 1.55/1.34 ------------------------
% 1.55/1.36 % (29663)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29506 for (3000ds/183Mi)
% 1.55/1.36 % (29665)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_29506 for (3000ds/27Mi)
% 1.55/1.36 % (29667)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_29506 for (3000ds/2Mi)
% 1.55/1.36 % (29666)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29506 for (3000ds/2Mi)
% 1.55/1.36 % (29669)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29506 for (3000ds/18Mi)
% 1.55/1.36 % (29668)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_29506 for (3000ds/275Mi)
% 1.55/1.36 % (29664)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_29506 for (3000ds/4Mi)
% 1.55/1.36 % Exception at run slice level
% 1.55/1.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.55/1.36 % (29666)Instruction limit reached!
% 1.55/1.36 % (29666)------------------------------
% 1.55/1.36 % (29666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.36 % (29666)Termination reason: Unknown
% 1.55/1.36 % (29666)Termination phase: Saturation
% 1.55/1.36
% 1.55/1.36 % (29666)Memory used [KB]: 5500
% 1.55/1.36 % (29666)Time elapsed: 0.003 s
% 1.55/1.36 % (29666)Instructions burned: 3 (million)
% 1.55/1.36 % (29666)------------------------------
% 1.55/1.36 % (29666)------------------------------
% 1.55/1.36 % (29664)Instruction limit reached!
% 1.55/1.36 % (29664)------------------------------
% 1.55/1.36 % (29664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.36 % (29664)Termination reason: Unknown
% 1.55/1.36 % (29664)Termination phase: Saturation
% 1.55/1.36
% 1.55/1.36 % (29664)Memory used [KB]: 5500
% 1.55/1.36 % (29664)Time elapsed: 0.004 s
% 1.55/1.36 % (29664)Instructions burned: 5 (million)
% 1.55/1.36 % (29664)------------------------------
% 1.55/1.36 % (29664)------------------------------
% 1.55/1.37 % (29665)Instruction limit reached!
% 1.55/1.37 % (29665)------------------------------
% 1.55/1.37 % (29665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.37 % (29665)Termination reason: Unknown
% 1.55/1.37 % (29665)Termination phase: Saturation
% 1.55/1.37
% 1.55/1.37 % (29665)Memory used [KB]: 5628
% 1.55/1.37 % (29665)Time elapsed: 0.011 s
% 1.55/1.37 % (29665)Instructions burned: 28 (million)
% 1.55/1.37 % (29665)------------------------------
% 1.55/1.37 % (29665)------------------------------
% 1.55/1.37 % (29669)Instruction limit reached!
% 1.55/1.37 % (29669)------------------------------
% 1.55/1.37 % (29669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.37 % (29669)Termination reason: Unknown
% 1.55/1.37 % (29669)Termination phase: Saturation
% 1.55/1.37
% 1.55/1.37 % (29669)Memory used [KB]: 5628
% 1.55/1.37 % (29669)Time elapsed: 0.012 s
% 1.55/1.37 % (29669)Instructions burned: 19 (million)
% 1.55/1.37 % (29669)------------------------------
% 1.55/1.37 % (29669)------------------------------
% 1.55/1.37 % (29673)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_29506 for (2999ds/3Mi)
% 1.55/1.38 % (29673)Instruction limit reached!
% 1.55/1.38 % (29673)------------------------------
% 1.55/1.38 % (29673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.38 % (29673)Termination reason: Unknown
% 1.55/1.38 % (29673)Termination phase: Saturation
% 1.55/1.38
% 1.55/1.38 % (29673)Memory used [KB]: 5500
% 1.55/1.38 % (29673)Time elapsed: 0.002 s
% 1.55/1.38 % (29673)Instructions burned: 3 (million)
% 1.55/1.38 % (29673)------------------------------
% 1.55/1.38 % (29673)------------------------------
% 1.55/1.38 % (29670)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/3Mi)
% 1.55/1.38 % (29670)Instruction limit reached!
% 1.55/1.38 % (29670)------------------------------
% 1.55/1.38 % (29670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.38 % (29670)Termination reason: Unknown
% 1.55/1.38 % (29670)Termination phase: Saturation
% 1.55/1.38
% 1.55/1.38 % (29670)Memory used [KB]: 5500
% 1.55/1.38 % (29670)Time elapsed: 0.003 s
% 1.55/1.38 % (29670)Instructions burned: 3 (million)
% 1.55/1.38 % (29670)------------------------------
% 1.55/1.38 % (29670)------------------------------
% 1.55/1.38 % (29672)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_29506 for (2999ds/15Mi)
% 1.55/1.38 % (29671)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_29506 for (2999ds/37Mi)
% 1.55/1.38 % Exception at run slice level
% 1.55/1.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.55/1.39 % (29675)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/7Mi)
% 1.55/1.39 % (29675)Instruction limit reached!
% 1.55/1.39 % (29675)------------------------------
% 1.55/1.39 % (29675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.39 % (29675)Termination reason: Unknown
% 1.55/1.39 % (29675)Termination phase: Saturation
% 1.55/1.39
% 1.55/1.39 % (29675)Memory used [KB]: 1023
% 1.55/1.39 % (29675)Time elapsed: 0.004 s
% 1.55/1.39 % (29675)Instructions burned: 9 (million)
% 1.55/1.39 % (29675)------------------------------
% 1.55/1.39 % (29675)------------------------------
% 1.55/1.39 % (29672)Instruction limit reached!
% 1.55/1.39 % (29672)------------------------------
% 1.55/1.39 % (29672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.39 % (29672)Termination reason: Unknown
% 1.55/1.39 % (29672)Termination phase: Saturation
% 1.55/1.39
% 1.55/1.39 % (29672)Memory used [KB]: 5628
% 1.55/1.39 % (29672)Time elapsed: 0.010 s
% 1.55/1.39 % (29672)Instructions burned: 15 (million)
% 1.55/1.39 % (29672)------------------------------
% 1.55/1.39 % (29672)------------------------------
% 1.55/1.39 % (29674)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_29506 for (2999ds/1041Mi)
% 1.55/1.39 % (29676)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/16Mi)
% 1.55/1.39 % Exception at run slice level
% 1.55/1.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.40 % (29676)Instruction limit reached!
% 1.66/1.40 % (29676)------------------------------
% 1.66/1.40 % (29676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.40 % (29676)Termination reason: Unknown
% 1.66/1.40 % (29676)Termination phase: Saturation
% 1.66/1.40
% 1.66/1.40 % (29676)Memory used [KB]: 5628
% 1.66/1.40 % (29676)Time elapsed: 0.008 s
% 1.66/1.40 % (29676)Instructions burned: 17 (million)
% 1.66/1.40 % (29676)------------------------------
% 1.66/1.40 % (29676)------------------------------
% 1.66/1.40 % (29678)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_29506 for (2999ds/3Mi)
% 1.66/1.40 % (29678)Instruction limit reached!
% 1.66/1.40 % (29678)------------------------------
% 1.66/1.40 % (29678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.40 % (29678)Termination reason: Unknown
% 1.66/1.40 % (29678)Termination phase: Saturation
% 1.66/1.40
% 1.66/1.40 % (29678)Memory used [KB]: 1023
% 1.66/1.40 % (29678)Time elapsed: 0.002 s
% 1.66/1.40 % (29678)Instructions burned: 3 (million)
% 1.66/1.40 % (29678)------------------------------
% 1.66/1.40 % (29678)------------------------------
% 1.66/1.40 % (29677)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_29506 for (2999ds/3Mi)
% 1.66/1.40 % (29677)Instruction limit reached!
% 1.66/1.40 % (29677)------------------------------
% 1.66/1.40 % (29677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.40 % (29677)Termination reason: Unknown
% 1.66/1.40 % (29677)Termination phase: Property scanning
% 1.66/1.40
% 1.66/1.40 % (29677)Memory used [KB]: 1023
% 1.66/1.40 % (29677)Time elapsed: 0.003 s
% 1.66/1.40 % (29677)Instructions burned: 3 (million)
% 1.66/1.40 % (29677)------------------------------
% 1.66/1.40 % (29677)------------------------------
% 1.66/1.41 % (29680)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/3Mi)
% 1.66/1.41 % (29679)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/7Mi)
% 1.66/1.41 % Exception at run slice level
% 1.66/1.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.41 % (29682)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/18Mi)
% 1.66/1.41 % (29679)Refutation not found, incomplete strategy
% 1.66/1.41 % (29679)------------------------------
% 1.66/1.41 % (29679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.41 % (29679)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.41
% 1.66/1.41
% 1.66/1.41 % (29679)Memory used [KB]: 5500
% 1.66/1.41 % (29679)Time elapsed: 0.005 s
% 1.66/1.41 % (29679)Instructions burned: 6 (million)
% 1.66/1.41 % (29679)------------------------------
% 1.66/1.41 % (29679)------------------------------
% 1.66/1.41 % (29663)Instruction limit reached!
% 1.66/1.41 % (29663)------------------------------
% 1.66/1.41 % (29663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.41 % (29663)Termination reason: Unknown
% 1.66/1.41 % (29663)Termination phase: Saturation
% 1.66/1.41
% 1.66/1.41 % (29663)Memory used [KB]: 6780
% 1.66/1.41 % (29663)Time elapsed: 0.058 s
% 1.66/1.41 % (29663)Instructions burned: 185 (million)
% 1.66/1.41 % (29663)------------------------------
% 1.66/1.41 % (29663)------------------------------
% 1.66/1.41 % (29681)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/4Mi)
% 1.66/1.41 % (29682)Instruction limit reached!
% 1.66/1.41 % (29682)------------------------------
% 1.66/1.41 % (29682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.41 % (29682)Termination reason: Unknown
% 1.66/1.41 % (29682)Termination phase: Saturation
% 1.66/1.41
% 1.66/1.41 % (29682)Memory used [KB]: 5628
% 1.66/1.41 % (29682)Time elapsed: 0.007 s
% 1.66/1.41 % (29682)Instructions burned: 18 (million)
% 1.66/1.41 % (29682)------------------------------
% 1.66/1.41 % (29682)------------------------------
% 1.66/1.42 % (29681)Instruction limit reached!
% 1.66/1.42 % (29681)------------------------------
% 1.66/1.42 % (29681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.42 % (29681)Termination reason: Unknown
% 1.66/1.42 % (29681)Termination phase: Saturation
% 1.66/1.42
% 1.66/1.42 % (29681)Memory used [KB]: 5500
% 1.66/1.42 % (29681)Time elapsed: 0.004 s
% 1.66/1.42 % (29681)Instructions burned: 5 (million)
% 1.66/1.42 % (29681)------------------------------
% 1.66/1.42 % (29681)------------------------------
% 1.66/1.42 % (29683)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/710Mi)
% 1.66/1.42 % (29686)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_29506 for (2999ds/21Mi)
% 1.66/1.42 % (29684)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/6Mi)
% 1.66/1.42 % (29687)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/5Mi)
% 1.66/1.42 % Exception at run slice level
% 1.66/1.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.43 % (29685)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_29506 for (2999ds/902Mi)
% 1.66/1.43 % (29684)Instruction limit reached!
% 1.66/1.43 % (29684)------------------------------
% 1.66/1.43 % (29684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (29684)Termination reason: Unknown
% 1.66/1.43 % (29684)Termination phase: Saturation
% 1.66/1.43
% 1.66/1.43 % (29684)Memory used [KB]: 5500
% 1.66/1.43 % (29684)Time elapsed: 0.005 s
% 1.66/1.43 % (29684)Instructions burned: 7 (million)
% 1.66/1.43 % (29684)------------------------------
% 1.66/1.43 % (29684)------------------------------
% 1.66/1.43 % (29686)Instruction limit reached!
% 1.66/1.43 % (29686)------------------------------
% 1.66/1.43 % (29686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (29686)Termination reason: Unknown
% 1.66/1.43 % (29686)Termination phase: Saturation
% 1.66/1.43
% 1.66/1.43 % (29686)Memory used [KB]: 5628
% 1.66/1.43 % (29686)Time elapsed: 0.008 s
% 1.66/1.43 % (29686)Instructions burned: 21 (million)
% 1.66/1.43 % (29686)------------------------------
% 1.66/1.43 % (29686)------------------------------
% 1.66/1.43 % (29688)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_29506 for (2999ds/6Mi)
% 1.66/1.43 % Exception at run slice level
% 1.66/1.43 User error: % (29689)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/377Mi)
% 1.66/1.43 Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.44 % (29691)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_29506 for (2999ds/19Mi)
% 1.66/1.44 % Exception at run slice level
% 1.66/1.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.44 % (29690)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_29506 for (2999ds/779Mi)
% 1.66/1.44 % Exception at run slice level
% 1.66/1.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.45 % (29692)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/879Mi)
% 1.66/1.46 % (29694)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/3Mi)
% 1.66/1.46 % (29693)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/17Mi)
% 1.66/1.46 % (29694)Instruction limit reached!
% 1.66/1.46 % (29694)------------------------------
% 1.66/1.46 % (29694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (29694)Termination reason: Unknown
% 1.66/1.46 % (29694)Termination phase: Property scanning
% 1.66/1.46
% 1.66/1.46 % (29694)Memory used [KB]: 1023
% 1.66/1.46 % (29694)Time elapsed: 0.003 s
% 1.66/1.46 % (29694)Instructions burned: 3 (million)
% 1.66/1.46 % (29694)------------------------------
% 1.66/1.46 % (29694)------------------------------
% 1.66/1.47 % (29693)Instruction limit reached!
% 1.66/1.47 % (29693)------------------------------
% 1.66/1.47 % (29693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (29693)Termination reason: Unknown
% 1.66/1.47 % (29693)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (29693)Memory used [KB]: 5628
% 1.66/1.47 % (29693)Time elapsed: 0.029 s
% 1.66/1.47 % (29693)Instructions burned: 17 (million)
% 1.66/1.47 % (29693)------------------------------
% 1.66/1.47 % (29693)------------------------------
% 1.66/1.48 % (29696)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_29506 for (2998ds/127Mi)
% 1.66/1.49 % (29695)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_29506 for (2999ds/30Mi)
% 1.66/1.50 % (29668)Instruction limit reached!
% 1.66/1.50 % (29668)------------------------------
% 1.66/1.50 % (29668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (29668)Termination reason: Unknown
% 1.66/1.50 % (29668)Termination phase: Saturation
% 1.66/1.50
% 1.66/1.50 % (29668)Memory used [KB]: 6140
% 1.66/1.50 % (29668)Time elapsed: 0.141 s
% 1.66/1.50 % (29668)Instructions burned: 276 (million)
% 1.66/1.50 % (29668)------------------------------
% 1.66/1.50 % (29668)------------------------------
% 1.66/1.50 % (29695)Instruction limit reached!
% 1.66/1.50 % (29695)------------------------------
% 1.66/1.50 % (29695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (29695)Termination reason: Unknown
% 1.66/1.50 % (29695)Termination phase: Saturation
% 1.66/1.50
% 1.66/1.50 % (29695)Memory used [KB]: 5628
% 1.66/1.50 % (29695)Time elapsed: 0.041 s
% 1.66/1.50 % (29695)Instructions burned: 30 (million)
% 1.66/1.50 % (29695)------------------------------
% 1.66/1.50 % (29695)------------------------------
% 1.66/1.51 % (29697)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_29506 for (2998ds/100Mi)
% 1.66/1.52 % (29696)Instruction limit reached!
% 1.66/1.52 % (29696)------------------------------
% 1.66/1.52 % (29696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.52 % (29696)Termination reason: Unknown
% 1.66/1.52 % (29696)Termination phase: Saturation
% 1.66/1.52
% 1.66/1.52 % (29696)Memory used [KB]: 6012
% 1.66/1.52 % (29696)Time elapsed: 0.042 s
% 1.66/1.52 % (29696)Instructions burned: 127 (million)
% 1.66/1.52 % (29696)------------------------------
% 1.66/1.52 % (29696)------------------------------
% 1.66/1.52 % (29698)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_29506 for (2998ds/3Mi)
% 1.66/1.52 % Exception at run slice level
% 1.66/1.52 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.53 % (29699)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_29506 for (2998ds/20Mi)
% 1.66/1.53 % (29699)Instruction limit reached!
% 1.66/1.53 % (29699)------------------------------
% 1.66/1.53 % (29699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.53 % (29699)Termination reason: Unknown
% 1.66/1.53 % (29699)Termination phase: Saturation
% 1.66/1.53
% 1.66/1.53 % (29699)Memory used [KB]: 5628
% 1.66/1.53 % (29699)Time elapsed: 0.008 s
% 1.66/1.53 % (29699)Instructions burned: 21 (million)
% 1.66/1.53 % (29699)------------------------------
% 1.66/1.53 % (29699)------------------------------
% 1.66/1.54 % (29700)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_29506 for (2998ds/86Mi)
% 1.66/1.54 % (29701)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_29506 for (2998ds/107Mi)
% 1.66/1.54 % (29697)Instruction limit reached!
% 1.66/1.54 % (29697)------------------------------
% 1.66/1.54 % (29697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.54 % (29697)Termination reason: Unknown
% 1.66/1.54 % (29697)Termination phase: Saturation
% 1.66/1.54
% 1.66/1.54 % (29697)Memory used [KB]: 5884
% 1.66/1.54 % (29697)Time elapsed: 0.055 s
% 1.66/1.54 % (29697)Instructions burned: 102 (million)
% 1.66/1.54 % (29697)------------------------------
% 1.66/1.54 % (29697)------------------------------
% 1.66/1.55 % (29702)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_29506 for (2998ds/39Mi)
% 1.66/1.55 % Exception at run slice level
% 1.66/1.55 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.56 % (29703)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_29506 for (2997ds/448Mi)
% 1.66/1.56 % Exception at run slice level
% 1.66/1.56 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.57 % (29704)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_29506 for (2997ds/46Mi)
% 1.66/1.58 % (29701)Instruction limit reached!
% 1.66/1.58 % (29701)------------------------------
% 1.66/1.58 % (29701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.58 % (29701)Termination reason: Unknown
% 1.66/1.58 % (29701)Termination phase: Saturation
% 1.66/1.58
% 1.66/1.58 % (29701)Memory used [KB]: 5884
% 1.66/1.58 % (29701)Time elapsed: 0.036 s
% 1.66/1.58 % (29701)Instructions burned: 110 (million)
% 1.66/1.58 % (29701)------------------------------
% 1.66/1.58 % (29701)------------------------------
% 1.66/1.58 % (29700)Instruction limit reached!
% 1.66/1.58 % (29700)------------------------------
% 1.66/1.58 % (29700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.58 % (29700)Termination reason: Unknown
% 1.66/1.58 % (29700)Termination phase: Saturation
% 1.66/1.58
% 1.66/1.58 % (29700)Memory used [KB]: 6012
% 1.66/1.58 % (29700)Time elapsed: 0.069 s
% 1.66/1.58 % (29700)Instructions burned: 87 (million)
% 1.66/1.58 % (29700)------------------------------
% 1.66/1.58 % (29700)------------------------------
% 1.66/1.59 % (29705)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_29506 for (2997ds/98Mi)
% 1.66/1.59 % Exception at run slice level
% 1.66/1.59 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.59 % (29704)Instruction limit reached!
% 1.66/1.59 % (29704)------------------------------
% 1.66/1.59 % (29704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.59 % (29704)Termination reason: Unknown
% 1.66/1.59 % (29704)Termination phase: Saturation
% 1.66/1.59
% 1.66/1.59 % (29704)Memory used [KB]: 5756
% 1.66/1.59 % (29704)Time elapsed: 0.017 s
% 1.66/1.59 % (29704)Instructions burned: 46 (million)
% 1.66/1.59 % (29704)------------------------------
% 1.66/1.59 % (29704)------------------------------
% 1.66/1.60 % (29707)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_29506 for (2997ds/149Mi)
% 1.66/1.60 % (29708)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_29506 for (2997ds/39Mi)
% 1.66/1.60 % (29706)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_29506 for (2997ds/507Mi)
% 1.66/1.61 % (29708)Instruction limit reached!
% 1.66/1.61 % (29708)------------------------------
% 1.66/1.61 % (29708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.61 % (29708)Termination reason: Unknown
% 1.66/1.61 % (29708)Termination phase: Saturation
% 1.66/1.61
% 1.66/1.61 % (29708)Memory used [KB]: 5628
% 1.66/1.61 % (29708)Time elapsed: 0.014 s
% 1.66/1.61 % (29708)Instructions burned: 40 (million)
% 1.66/1.61 % (29708)------------------------------
% 1.66/1.61 % (29708)------------------------------
% 1.66/1.62 % (29709)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_29506 for (2997ds/6Mi)
% 1.66/1.62 % Exception at run slice level
% 1.66/1.62 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.62 % (29689)Instruction limit reached!
% 1.66/1.62 % (29689)------------------------------
% 1.66/1.62 % (29689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.62 % (29689)Termination reason: Unknown
% 1.66/1.62 % (29689)Termination phase: Saturation
% 1.66/1.62
% 1.66/1.62 % (29689)Memory used [KB]: 6012
% 1.66/1.62 % (29689)Time elapsed: 0.205 s
% 1.66/1.62 % (29689)Instructions burned: 377 (million)
% 1.66/1.62 % (29689)------------------------------
% 1.66/1.62 % (29689)------------------------------
% 1.66/1.63 % (29710)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_29506 for (2997ds/1087Mi)
% 1.66/1.63 % (29706)Refutation not found, incomplete strategy
% 1.66/1.63 % (29706)------------------------------
% 1.66/1.63 % (29706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.63 % (29706)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.63
% 1.66/1.63
% 1.66/1.63 % (29706)Memory used [KB]: 5628
% 1.66/1.63 % (29706)Time elapsed: 0.033 s
% 1.66/1.63 % (29706)Instructions burned: 60 (million)
% 1.66/1.63 % (29706)------------------------------
% 1.66/1.63 % (29706)------------------------------
% 1.66/1.64 % (29711)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_29506 for (2997ds/47Mi)
% 1.66/1.64 % (29707)Instruction limit reached!
% 1.66/1.64 % (29707)------------------------------
% 1.66/1.64 % (29707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.64 % (29707)Termination reason: Unknown
% 1.66/1.64 % (29707)Termination phase: Saturation
% 1.66/1.64
% 1.66/1.64 % (29707)Memory used [KB]: 6012
% 1.66/1.64 % (29707)Time elapsed: 0.049 s
% 1.66/1.64 % (29707)Instructions burned: 151 (million)
% 1.66/1.64 % (29707)------------------------------
% 1.66/1.64 % (29707)------------------------------
% 1.66/1.65 % (29712)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_29506 for (2997ds/44Mi)
% 1.66/1.65 % Exception at run slice level
% 1.66/1.65 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.65 % (29713)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_29506 for (2997ds/432Mi)
% 1.66/1.65 % (29683)Refutation not found, non-redundant clauses discarded% (29683)------------------------------
% 1.66/1.65 % (29683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.65 % (29683)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.66/1.65
% 1.66/1.65 % (29683)Memory used [KB]: 6652
% 1.66/1.65 % (29683)Time elapsed: 0.237 s
% 1.66/1.65 % (29683)Instructions burned: 472 (million)
% 1.66/1.65 % (29683)------------------------------
% 1.66/1.65 % (29683)------------------------------
% 1.66/1.65 % Exception at run slice level
% 1.66/1.65 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.66 % (29714)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_29506 for (2997ds/62Mi)
% 1.66/1.66 % (29715)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_29506 for (2996ds/31Mi)
% 1.66/1.66 % Exception at run slice level
% 1.66/1.66 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.67 % (29711)Instruction limit reached!
% 1.66/1.67 % (29711)------------------------------
% 1.66/1.67 % (29711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.67 % (29711)Termination reason: Unknown
% 1.66/1.67 % (29711)Termination phase: Saturation
% 1.66/1.67
% 1.66/1.67 % (29711)Memory used [KB]: 5756
% 1.66/1.67 % (29711)Time elapsed: 0.027 s
% 1.66/1.67 % (29711)Instructions burned: 48 (million)
% 1.66/1.67 % (29711)------------------------------
% 1.66/1.67 % (29711)------------------------------
% 1.66/1.67 % (29716)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/96Mi)
% 1.66/1.68 % (29715)Instruction limit reached!
% 1.66/1.68 % (29715)------------------------------
% 1.66/1.68 % (29715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.68 % (29715)Termination reason: Unknown
% 1.66/1.68 % (29715)Termination phase: Saturation
% 1.66/1.68
% 1.66/1.68 % (29715)Memory used [KB]: 5756
% 1.66/1.68 % (29715)Time elapsed: 0.012 s
% 1.66/1.68 % (29715)Instructions burned: 33 (million)
% 1.66/1.68 % (29715)------------------------------
% 1.66/1.68 % (29715)------------------------------
% 1.66/1.68 % (29717)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_29506 for (2996ds/453Mi)
% 1.66/1.68 % Exception at run slice level
% 1.66/1.68 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.68 % (29718)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_29506 for (2996ds/71Mi)
% 1.66/1.68 % (29719)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/83Mi)
% 1.66/1.70 % (29719)Refutation not found, incomplete strategy
% 1.66/1.70 % (29719)------------------------------
% 1.66/1.70 % (29719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.70 % (29719)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.70
% 1.66/1.70
% 1.66/1.70 % (29719)Memory used [KB]: 5628
% 1.66/1.70 % (29719)Time elapsed: 0.013 s
% 1.66/1.70 % (29719)Instructions burned: 37 (million)
% 1.66/1.70 % (29719)------------------------------
% 1.66/1.70 % (29719)------------------------------
% 1.66/1.70 % (29720)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/11Mi)
% 1.66/1.70 % Exception at run slice level
% 1.66/1.70 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.71 % (29721)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_29506 for (2996ds/41Mi)
% 1.66/1.71 % Exception at run slice level
% 1.66/1.71 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.71 % (29722)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/6Mi)
% 1.66/1.72 % (29723)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/150Mi)
% 1.66/1.72 % (29722)Instruction limit reached!
% 1.66/1.72 % (29722)------------------------------
% 1.66/1.72 % (29722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.72 % (29722)Termination reason: Unknown
% 1.66/1.72 % (29722)Termination phase: Saturation
% 1.66/1.72
% 1.66/1.72 % (29722)Memory used [KB]: 5500
% 1.66/1.72 % (29722)Time elapsed: 0.005 s
% 1.66/1.72 % (29722)Instructions burned: 6 (million)
% 1.66/1.72 % (29722)------------------------------
% 1.66/1.72 % (29722)------------------------------
% 1.66/1.72 % (29718)Instruction limit reached!
% 1.66/1.72 % (29718)------------------------------
% 1.66/1.72 % (29718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.72 % (29718)Termination reason: Unknown
% 1.66/1.72 % (29718)Termination phase: Saturation
% 1.66/1.72
% 1.66/1.72 % (29718)Memory used [KB]: 5884
% 1.66/1.72 % (29718)Time elapsed: 0.038 s
% 1.66/1.72 % (29718)Instructions burned: 72 (million)
% 1.66/1.72 % (29718)------------------------------
% 1.66/1.72 % (29718)------------------------------
% 1.66/1.72 % (29716)Instruction limit reached!
% 1.66/1.72 % (29716)------------------------------
% 1.66/1.72 % (29716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.72 % (29716)Termination reason: Unknown
% 1.66/1.72 % (29716)Termination phase: Saturation
% 1.66/1.72
% 1.66/1.72 % (29716)Memory used [KB]: 5756
% 1.66/1.72 % (29716)Time elapsed: 0.052 s
% 1.66/1.72 % (29716)Instructions burned: 96 (million)
% 1.66/1.72 % (29716)------------------------------
% 1.66/1.72 % (29716)------------------------------
% 1.66/1.73 % (29724)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_29506 for (2996ds/343Mi)
% 1.66/1.73 % (29725)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_29506 for (2996ds/109Mi)
% 1.66/1.74 % (29726)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_29506 for (2996ds/253Mi)
% 1.66/1.76 % (29724)Refutation not found, incomplete strategy
% 1.66/1.76 % (29724)------------------------------
% 1.66/1.76 % (29724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.76 % (29724)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.76
% 1.66/1.76
% 1.66/1.76 % (29724)Memory used [KB]: 5628
% 1.66/1.76 % (29724)Time elapsed: 0.025 s
% 1.66/1.76 % (29724)Instructions burned: 45 (million)
% 1.66/1.76 % (29724)------------------------------
% 1.66/1.76 % (29724)------------------------------
% 1.66/1.76 % (29723)Instruction limit reached!
% 1.66/1.76 % (29723)------------------------------
% 1.66/1.76 % (29723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.76 % (29723)Termination reason: Unknown
% 1.66/1.76 % (29723)Termination phase: Saturation
% 1.66/1.76
% 1.66/1.76 % (29723)Memory used [KB]: 6140
% 1.66/1.76 % (29723)Time elapsed: 0.047 s
% 1.66/1.76 % (29723)Instructions burned: 150 (million)
% 1.66/1.76 % (29723)------------------------------
% 1.66/1.76 % (29723)------------------------------
% 1.66/1.77 % (29728)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_29506 for (2995ds/614Mi)
% 1.66/1.77 % (29727)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_29506 for (2995ds/140Mi)
% 1.66/1.78 % (29727)Refutation not found, incomplete strategy
% 1.66/1.78 % (29727)------------------------------
% 1.66/1.78 % (29727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.78 % (29727)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.78
% 1.66/1.78
% 1.66/1.78 % (29727)Memory used [KB]: 5500
% 1.66/1.78 % (29727)Time elapsed: 0.006 s
% 1.66/1.78 % (29727)Instructions burned: 8 (million)
% 1.66/1.78 % (29727)------------------------------
% 1.66/1.78 % (29727)------------------------------
% 1.66/1.79 % (29725)Instruction limit reached!
% 1.66/1.79 % (29725)------------------------------
% 1.66/1.79 % (29725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.79 % (29725)Termination reason: Unknown
% 1.66/1.79 % (29725)Termination phase: Saturation
% 1.66/1.79
% 1.66/1.79 % (29725)Memory used [KB]: 6012
% 1.66/1.79 % (29725)Time elapsed: 0.060 s
% 1.66/1.79 % (29725)Instructions burned: 110 (million)
% 1.66/1.79 % (29725)------------------------------
% 1.66/1.79 % (29725)------------------------------
% 1.66/1.80 % (29729)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_29506 for (2995ds/202Mi)
% 1.66/1.81 % (29730)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_29506 for (2995ds/339Mi)
% 1.66/1.86 % (29685)Instruction limit reached!
% 1.66/1.86 % (29685)------------------------------
% 1.66/1.86 % (29685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.86 % (29685)Termination reason: Unknown
% 1.66/1.86 % (29685)Termination phase: Saturation
% 1.66/1.86
% 1.66/1.86 % (29685)Memory used [KB]: 7036
% 1.66/1.86 % (29685)Time elapsed: 0.437 s
% 1.66/1.86 % (29685)Instructions burned: 902 (million)
% 1.66/1.86 % (29685)------------------------------
% 1.66/1.86 % (29685)------------------------------
% 1.66/1.86 % (29692)Instruction limit reached!
% 1.66/1.86 % (29692)------------------------------
% 1.66/1.86 % (29692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.86 % (29692)Termination reason: Unknown
% 1.66/1.86 % (29692)Termination phase: Saturation
% 1.66/1.86
% 1.66/1.86 % (29692)Memory used [KB]: 6396
% 1.66/1.86 % (29692)Time elapsed: 0.440 s
% 1.66/1.86 % (29692)Instructions burned: 880 (million)
% 1.66/1.86 % (29692)------------------------------
% 1.66/1.86 % (29692)------------------------------
% 1.66/1.87 % (29726)Instruction limit reached!
% 1.66/1.87 % (29726)------------------------------
% 1.66/1.87 % (29726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.87 % (29726)Termination reason: Unknown
% 1.66/1.87 % (29726)Termination phase: Saturation
% 1.66/1.87
% 1.66/1.87 % (29726)Memory used [KB]: 6268
% 1.66/1.87 % (29726)Time elapsed: 0.135 s
% 1.66/1.87 % (29726)Instructions burned: 254 (million)
% 1.66/1.87 % (29726)------------------------------
% 1.66/1.87 % (29726)------------------------------
% 1.66/1.87 % (29732)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_29506 for (2994ds/134Mi)
% 1.66/1.88 % (29731)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_29506 for (2994ds/283Mi)
% 1.66/1.88 % Exception at run slice level
% 1.66/1.88 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.89 % (29733)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_29506 for (2994ds/298Mi)
% 1.66/1.89 % Exception at run slice level
% 1.66/1.89 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.90 % (29734)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_29506 for (2994ds/192Mi)
% 1.66/1.90 % (29729)Instruction limit reached!
% 1.66/1.90 % (29729)------------------------------
% 1.66/1.90 % (29729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.90 % (29729)Termination reason: Unknown
% 1.66/1.90 % (29729)Termination phase: Saturation
% 1.66/1.90
% 1.66/1.90 % (29729)Memory used [KB]: 6268
% 1.66/1.90 % (29729)Time elapsed: 0.107 s
% 1.66/1.90 % (29729)Instructions burned: 203 (million)
% 1.66/1.90 % (29729)------------------------------
% 1.66/1.90 % (29729)------------------------------
% 1.66/1.91 % (29735)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_29506 for (2994ds/258Mi)
% 1.66/1.92 % (29732)Instruction limit reached!
% 1.66/1.92 % (29732)------------------------------
% 1.66/1.92 % (29732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.92 % (29732)Termination reason: Unknown
% 1.66/1.92 % (29732)Termination phase: Saturation
% 1.66/1.92
% 1.66/1.92 % (29732)Memory used [KB]: 6140
% 1.66/1.92 % (29732)Time elapsed: 0.043 s
% 1.66/1.92 % (29732)Instructions burned: 134 (million)
% 1.66/1.92 % (29732)------------------------------
% 1.66/1.92 % (29732)------------------------------
% 1.66/1.92 % (29736)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_29506 for (2994ds/90Mi)
% 1.66/1.93 % (29737)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_29506 for (2994ds/231Mi)
% 1.66/1.93 % Exception at run slice level
% 1.66/1.93 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.94 % (29738)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_29506 for (2994ds/458Mi)
% 1.66/1.96 % (29728)Instruction limit reached!
% 1.66/1.96 % (29728)------------------------------
% 1.66/1.96 % (29728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.96 % (29728)Termination reason: Unknown
% 1.66/1.96 % (29728)Termination phase: Saturation
% 1.66/1.96
% 1.66/1.96 % (29728)Memory used [KB]: 6524
% 1.66/1.96 % (29728)Time elapsed: 0.189 s
% 1.66/1.96 % (29728)Instructions burned: 617 (million)
% 1.66/1.96 % (29728)------------------------------
% 1.66/1.96 % (29728)------------------------------
% 1.66/1.97 % (29736)Instruction limit reached!
% 1.66/1.97 % (29736)------------------------------
% 1.66/1.97 % (29736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.97 % (29736)Termination reason: Unknown
% 1.66/1.97 % (29736)Termination phase: Saturation
% 1.66/1.97
% 1.66/1.97 % (29736)Memory used [KB]: 5884
% 1.66/1.97 % (29736)Time elapsed: 0.050 s
% 1.66/1.97 % (29736)Instructions burned: 91 (million)
% 1.66/1.97 % (29736)------------------------------
% 1.66/1.97 % (29736)------------------------------
% 1.66/1.97 % (29739)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_29506 for (2994ds/31Mi)
% 1.66/1.98 % (29739)Instruction limit reached!
% 1.66/1.98 % (29739)------------------------------
% 1.66/1.98 % (29739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.98 % (29739)Termination reason: Unknown
% 1.66/1.98 % (29739)Termination phase: Saturation
% 1.66/1.98
% 1.66/1.98 % (29739)Memory used [KB]: 5756
% 1.66/1.98 % (29739)Time elapsed: 0.033 s
% 1.66/1.98 % (29739)Instructions burned: 33 (million)
% 1.66/1.98 % (29739)------------------------------
% 1.66/1.98 % (29739)------------------------------
% 1.66/1.98 % (29730)Instruction limit reached!
% 1.66/1.98 % (29730)------------------------------
% 1.66/1.98 % (29730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.98 % (29730)Termination reason: Unknown
% 1.66/1.98 % (29730)Termination phase: Saturation
% 1.66/1.98
% 1.66/1.98 % (29730)Memory used [KB]: 6140
% 1.66/1.98 % (29730)Time elapsed: 0.172 s
% 1.66/1.98 % (29730)Instructions burned: 339 (million)
% 1.66/1.98 % (29730)------------------------------
% 1.66/1.98 % (29730)------------------------------
% 1.66/1.98 % (29740)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_29506 for (2993ds/297Mi)
% 1.66/1.98 % Exception at run slice level
% 1.66/1.98 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.99 % (29741)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_29506 for (2993ds/987Mi)
% 1.66/1.99 % Exception at run slice level
% 1.66/1.99 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/1.99 % (29734)Instruction limit reached!
% 1.66/1.99 % (29734)------------------------------
% 1.66/1.99 % (29734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.99 % (29734)Termination reason: Unknown
% 1.66/1.99 % (29734)Termination phase: Saturation
% 1.66/1.99
% 1.66/1.99 % (29734)Memory used [KB]: 6140
% 1.66/1.99 % (29734)Time elapsed: 0.099 s
% 1.66/1.99 % (29734)Instructions burned: 193 (million)
% 1.66/1.99 % (29734)------------------------------
% 1.66/1.99 % (29734)------------------------------
% 1.66/2.00 % (29742)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_29506 for (2993ds/182Mi)
% 1.66/2.00 % (29744)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_29506 for (2993ds/154Mi)
% 1.66/2.00 % (29743)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_29506 for (2993ds/182Mi)
% 1.66/2.00 % Exception at run slice level
% 1.66/2.00 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/2.01 % (29746)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_29506 for (2993ds/216Mi)
% 1.66/2.01 % Exception at run slice level
% 1.66/2.01 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.66/2.01 % (29745)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_29506 for (2993ds/79Mi)
% 6.20/2.02 % (29747)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_29506 for (2993ds/114Mi)
% 6.20/2.03 % (29735)Instruction limit reached!
% 6.20/2.03 % (29735)------------------------------
% 6.20/2.03 % (29735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.03 % (29735)Termination reason: Unknown
% 6.20/2.03 % (29735)Termination phase: Saturation
% 6.20/2.03
% 6.20/2.03 % (29735)Memory used [KB]: 6012
% 6.20/2.03 % (29735)Time elapsed: 0.129 s
% 6.20/2.03 % (29735)Instructions burned: 259 (million)
% 6.20/2.03 % (29735)------------------------------
% 6.20/2.03 % (29735)------------------------------
% 6.20/2.05 % (29745)Instruction limit reached!
% 6.20/2.05 % (29745)------------------------------
% 6.20/2.05 % (29745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.05 % (29745)Termination reason: Unknown
% 6.20/2.05 % (29745)Termination phase: Saturation
% 6.20/2.05
% 6.20/2.05 % (29745)Memory used [KB]: 5884
% 6.20/2.05 % (29745)Time elapsed: 0.065 s
% 6.20/2.05 % (29745)Instructions burned: 80 (million)
% 6.20/2.05 % (29745)------------------------------
% 6.20/2.05 % (29745)------------------------------
% 6.20/2.05 % (29748)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_29506 for (2993ds/922Mi)
% 6.20/2.05 % (29747)Instruction limit reached!
% 6.20/2.05 % (29747)------------------------------
% 6.20/2.05 % (29747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.05 % (29747)Termination reason: Unknown
% 6.20/2.05 % (29747)Termination phase: Saturation
% 6.20/2.05
% 6.20/2.05 % (29747)Memory used [KB]: 6524
% 6.20/2.05 % (29747)Time elapsed: 0.057 s
% 6.20/2.05 % (29747)Instructions burned: 116 (million)
% 6.20/2.05 % (29747)------------------------------
% 6.20/2.05 % (29747)------------------------------
% 6.20/2.06 % (29710)Instruction limit reached!
% 6.20/2.06 % (29710)------------------------------
% 6.20/2.06 % (29710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.06 % (29710)Termination reason: Unknown
% 6.20/2.06 % (29710)Termination phase: Saturation
% 6.20/2.06
% 6.20/2.06 % (29710)Memory used [KB]: 7164
% 6.20/2.06 % (29710)Time elapsed: 0.430 s
% 6.20/2.06 % (29710)Instructions burned: 1088 (million)
% 6.20/2.06 % (29710)------------------------------
% 6.20/2.06 % (29710)------------------------------
% 6.20/2.06 % (29750)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_29506 for (2993ds/164Mi)
% 6.20/2.06 % (29750)Refutation not found, incomplete strategy
% 6.20/2.06 % (29750)------------------------------
% 6.20/2.06 % (29750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.06 % (29750)Termination reason: Refutation not found, incomplete strategy
% 6.20/2.06
% 6.20/2.06
% 6.20/2.06 % (29750)Memory used [KB]: 1023
% 6.20/2.06 % (29750)Time elapsed: 0.031 s
% 6.20/2.06 % (29750)Instructions burned: 9 (million)
% 6.20/2.06 % (29750)------------------------------
% 6.20/2.06 % (29750)------------------------------
% 6.20/2.07 % (29749)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_29506 for (2993ds/182Mi)
% 6.20/2.07 % Exception at run slice level
% 6.20/2.07 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.20/2.07 % (29752)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_29506 for (2992ds/368Mi)
% 6.20/2.08 % (29751)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_29506 for (2993ds/50Mi)
% 6.20/2.08 % Exception at run slice level
% 6.20/2.08 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.20/2.08 % (29753)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_29506 for (2992ds/1021Mi)
% 6.20/2.09 % (29742)Instruction limit reached!
% 6.20/2.09 % (29742)------------------------------
% 6.20/2.09 % (29742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.09 % (29742)Termination reason: Unknown
% 6.20/2.09 % (29742)Termination phase: Saturation
% 6.20/2.09
% 6.20/2.09 % (29742)Memory used [KB]: 6268
% 6.20/2.09 % (29742)Time elapsed: 0.115 s
% 6.20/2.09 % (29742)Instructions burned: 183 (million)
% 6.20/2.09 % (29742)------------------------------
% 6.20/2.09 % (29742)------------------------------
% 6.20/2.09 % (29743)Instruction limit reached!
% 6.20/2.09 % (29743)------------------------------
% 6.20/2.09 % (29743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.09 % (29743)Termination reason: Unknown
% 6.20/2.09 % (29743)Termination phase: Saturation
% 6.20/2.09
% 6.20/2.09 % (29743)Memory used [KB]: 6012
% 6.20/2.09 % (29743)Time elapsed: 0.117 s
% 6.20/2.09 % (29743)Instructions burned: 182 (million)
% 6.20/2.09 % (29743)------------------------------
% 6.20/2.09 % (29743)------------------------------
% 6.20/2.09 % (29754)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_29506 for (2992ds/267Mi)
% 6.20/2.09 % Exception at run slice level
% 6.20/2.09 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.20/2.09 % (29738)Instruction limit reached!
% 6.20/2.09 % (29738)------------------------------
% 6.20/2.09 % (29738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.20/2.09 % (29738)Termination reason: Unknown
% 6.20/2.09 % (29738)Termination phase: Saturation
% 6.20/2.09
% 6.20/2.09 % (29738)Memory used [KB]: 6908
% 6.20/2.09 % (29738)Time elapsed: 0.172 s
% 6.20/2.09 % (29738)Instructions burned: 459 (million)
% 6.20/2.09 % (29738)------------------------------
% 6.20/2.09 % (29738)------------------------------
% 6.20/2.10 % (29758)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_29506 for (2992ds/4436Mi)
% 6.20/2.11 % (29755)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_29506 for (2992ds/204Mi)
% 6.20/2.11 % (29756)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_29506 for (2992ds/26Mi)
% 6.20/2.11 % Exception at run slice level
% 6.20/2.11 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.20/2.11 % (29757)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_29506 for (2992ds/53Mi)
% 6.20/2.11 % Exception at run slice level
% 6.20/2.11 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.72/2.12 % (29759)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_29506 for (2992ds/1539Mi)
% 6.72/2.13 % (29760)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_29506 for (2992ds/408Mi)
% 6.72/2.19 % (29752)Instruction limit reached!
% 6.72/2.19 % (29752)------------------------------
% 6.72/2.19 % (29752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.72/2.19 % (29752)Termination reason: Unknown
% 6.72/2.19 % (29752)Termination phase: Saturation
% 6.72/2.19
% 6.72/2.19 % (29752)Memory used [KB]: 6652
% 6.72/2.19 % (29752)Time elapsed: 0.114 s
% 6.72/2.19 % (29752)Instructions burned: 370 (million)
% 6.72/2.19 % (29752)------------------------------
% 6.72/2.19 % (29752)------------------------------
% 6.84/2.20 % (29761)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_29506 for (2991ds/5205Mi)
% 6.84/2.20 % Exception at run slice level
% 6.84/2.20 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.84/2.20 % (29755)Instruction limit reached!
% 6.84/2.20 % (29755)------------------------------
% 6.84/2.20 % (29755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.20 % (29755)Termination reason: Unknown
% 6.84/2.20 % (29755)Termination phase: Saturation
% 6.84/2.20
% 6.84/2.20 % (29755)Memory used [KB]: 5756
% 6.84/2.20 % (29755)Time elapsed: 0.094 s
% 6.84/2.20 % (29755)Instructions burned: 204 (million)
% 6.84/2.20 % (29755)------------------------------
% 6.84/2.20 % (29755)------------------------------
% 6.84/2.21 % (29762)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_29506 for (2991ds/1913Mi)
% 6.84/2.21 % (29763)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_29506 for (2991ds/4350Mi)
% 6.95/2.33 % (29760)Refutation not found, non-redundant clauses discarded% (29760)------------------------------
% 6.95/2.33 % (29760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.95/2.33 % (29760)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.95/2.33
% 6.95/2.33 % (29760)Memory used [KB]: 6524
% 6.95/2.33 % (29760)Time elapsed: 0.206 s
% 6.95/2.33 % (29760)Instructions burned: 399 (million)
% 6.95/2.33 % (29760)------------------------------
% 6.95/2.33 % (29760)------------------------------
% 6.95/2.35 % (29764)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_29506 for (2990ds/68Mi)
% 6.95/2.35 % (29762)First to succeed.
% 6.95/2.36 % (29762)Refutation found. Thanks to Tanya!
% 6.95/2.36 % SZS status Theorem for DTF2THF_29506
% 6.95/2.36 % SZS output start Proof for DTF2THF_29506
% 6.95/2.36 thf(type_def_6, type, sK0: $tType).
% 6.95/2.36 thf(type_def_7, type, sK1: $tType).
% 6.95/2.36 thf(func_def_0, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 6.95/2.36 thf(func_def_1, type, 'const/sets/IMAGE': !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > $o) > X1 > $o)).
% 6.95/2.36 thf(func_def_11, type, sK2: sK0 > sK1).
% 6.95/2.36 thf(func_def_12, type, sK3: sK0 > $o).
% 6.95/2.36 thf(func_def_13, type, sK4: sK1 > $o).
% 6.95/2.36 thf(func_def_14, type, sK5: sK1 > sK0).
% 6.95/2.36 thf(func_def_15, type, sK6: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X1 > X0) > X0 > X1)).
% 6.95/2.36 thf(func_def_16, type, sK7: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 6.95/2.36 thf(func_def_17, type, ph8: !>[X0: $tType]:(X0)).
% 6.95/2.36 thf(func_def_18, type, sK9: sK1).
% 6.95/2.36 thf(f1419,plain,(
% 6.95/2.36 $false),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f1418])).
% 6.95/2.36 thf(f1418,plain,(
% 6.95/2.36 ($true = $false)),
% 6.95/2.36 inference(forward_demodulation,[status(thm)],[f1417,f246])).
% 6.95/2.36 thf(f246,plain,(
% 6.95/2.36 ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f245])).
% 6.95/2.36 thf(f245,plain,(
% 6.95/2.36 ($true = $false) | ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(duplicate_literal_removal,[status(thm)],[f241])).
% 6.95/2.36 thf(f241,plain,(
% 6.95/2.36 ($true = $false) | ((sK4 @ sK9) = $false) | ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(superposition,[status(thm)],[f130,f228])).
% 6.95/2.36 thf(f228,plain,(
% 6.95/2.36 ((sK3 @ (sK5 @ sK9)) = $false) | ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f221])).
% 6.95/2.36 thf(f221,plain,(
% 6.95/2.36 ((sK4 @ sK9) = $false) | ($true = $false) | ((sK3 @ (sK5 @ sK9)) = $false)),
% 6.95/2.36 inference(superposition,[status(thm)],[f217,f39])).
% 6.95/2.36 thf(f39,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (($true = ('const/sets/IN' @ X0 @ X2 @ X1)) | ((X1 @ X2) = $false)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 6.95/2.36 thf(f21,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (((X1 @ X2) = ('const/sets/IN' @ X0 @ X2 @ X1))) )),
% 6.95/2.36 inference(cnf_transformation,[status(thm)],[f13])).
% 6.95/2.36 thf(f13,plain,(
% 6.95/2.36 ! [X0 : $tType,X1 : X0 > $o,X2 : X0] : ((X1 @ X2) = ('const/sets/IN' @ X0 @ X2 @ X1))),
% 6.95/2.36 inference(rectify,[status(thm)],[f1])).
% 6.95/2.36 thf(f1,axiom,(
% 6.95/2.36 ! [X0 : $tType,X2 : X0 > $o,X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ X2) = (X2 @ X3))),
% 6.95/2.36 file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/IN_')).
% 6.95/2.36 thf(f217,plain,(
% 6.95/2.36 (('const/sets/IN' @ sK0 @ (sK5 @ sK9) @ sK3) = $false) | ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(duplicate_literal_removal,[status(thm)],[f216])).
% 6.95/2.36 thf(f216,plain,(
% 6.95/2.36 ((sK4 @ sK9) = $false) | ((sK4 @ sK9) = $false) | (('const/sets/IN' @ sK0 @ (sK5 @ sK9) @ sK3) = $false)),
% 6.95/2.36 inference(equality_resolution,[status(thm)],[f215])).
% 6.95/2.36 thf(f215,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : ((sK9 != X0) | ((sK4 @ X0) = $false) | ((sK4 @ sK9) = $false) | (('const/sets/IN' @ sK0 @ (sK5 @ X0) @ sK3) = $false)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f212,f105])).
% 6.95/2.36 thf(f105,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : (((sK2 @ (sK5 @ X0)) = X0) | ((sK4 @ X0) = $false)) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f97])).
% 6.95/2.36 thf(f97,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : (((sK4 @ X0) = $false) | ((sK2 @ (sK5 @ X0)) = X0) | ($true != $true)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f23,f39])).
% 6.95/2.36 thf(f23,plain,(
% 6.95/2.36 ( ! [X6 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X6 @ sK4)) | ((sK2 @ (sK5 @ X6)) = X6)) )),
% 6.95/2.36 inference(cnf_transformation,[status(thm)],[f18])).
% 6.95/2.36 thf(f18,plain,(
% 6.95/2.36 ! [X5 : sK0] : (('const/sets/IN' @ sK0 @ X5 @ sK3) = ('const/sets/IN' @ sK1 @ (sK2 @ X5) @ sK4)) & ! [X6 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X6 @ sK4)) | ((sK2 @ (sK5 @ X6)) = X6)) & (sK4 != ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3))),
% 6.95/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f15,f17,f16])).
% 6.95/2.36 thf(f16,plain,(
% 6.95/2.36 ? [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0 > $o,X4 : X1 > $o] : (! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X3) = ('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) & ! [X6 : X1] : ((('const/sets/IN' @ X1 @ X6 @ X4) != $true) | ? [X7 : X0] : ((X2 @ X7) = X6)) & (('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3) != X4)) => (! [X5 : sK0] : (('const/sets/IN' @ sK0 @ X5 @ sK3) = ('const/sets/IN' @ sK1 @ (sK2 @ X5) @ sK4)) & ! [X6 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X6 @ sK4)) | ? [X7 : sK0] : ((sK2 @ X7) = X6)) & (sK4 != ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3)))),
% 6.95/2.36 introduced(definition,[],[choice_axiom])).
% 6.95/2.36 thf(f17,plain,(
% 6.95/2.36 ! [X6 : sK1] : (? [X7 : sK0] : ((sK2 @ X7) = X6) => ((sK2 @ (sK5 @ X6)) = X6))),
% 6.95/2.36 introduced(definition,[],[choice_axiom])).
% 6.95/2.36 thf(f15,plain,(
% 6.95/2.36 ? [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0 > $o,X4 : X1 > $o] : (! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X3) = ('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) & ! [X6 : X1] : ((('const/sets/IN' @ X1 @ X6 @ X4) != $true) | ? [X7 : X0] : ((X2 @ X7) = X6)) & (('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3) != X4))),
% 6.95/2.36 inference(flattening,[status(thm)],[f14])).
% 6.95/2.36 thf(f14,plain,(
% 6.95/2.36 ? [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0 > $o,X4 : X1 > $o] : ((('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3) != X4) & (! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X3) = ('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) & ! [X6 : X1] : ((('const/sets/IN' @ X1 @ X6 @ X4) != $true) | ? [X7 : X0] : ((X2 @ X7) = X6))))),
% 6.95/2.36 inference(ennf_transformation,[status(thm)],[f10])).
% 6.95/2.36 thf(f10,plain,(
% 6.95/2.36 ~! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0 > $o,X4 : X1 > $o] : ((! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X3) = ('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) & ! [X6 : X1] : ((('const/sets/IN' @ X1 @ X6 @ X4) = $true) => ? [X7 : X0] : ((X2 @ X7) = X6))) => (('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3) = X4))),
% 6.95/2.36 inference(fool_elimination,[status(thm)],[f9])).
% 6.95/2.36 thf(f9,plain,(
% 6.95/2.36 ~! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0 > $o,X4 : X1 > $o] : ((! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X3) = ('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) & ! [X6 : X1] : (('const/sets/IN' @ X1 @ X6 @ X4) => ? [X7 : X0] : ((X2 @ X7) = X6))) => (('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3) = X4))),
% 6.95/2.36 inference(rectify,[status(thm)],[f5])).
% 6.95/2.36 thf(f5,negated_conjecture,(
% 6.95/2.36 ~! [X0 : $tType,X3 : $tType,X4 : X0 > X3,X5 : X0 > $o,X6 : X3 > $o] : ((! [X7 : X0] : (('const/sets/IN' @ X3 @ (X4 @ X7) @ X6) = ('const/sets/IN' @ X0 @ X7 @ X5)) & ! [X7 : X3] : (('const/sets/IN' @ X3 @ X7 @ X6) => ? [X8 : X0] : ((X4 @ X8) = X7))) => (('const/sets/IMAGE' @ X0 @ X3 @ X4 @ X5) = X6))),
% 6.95/2.36 inference(negated_conjecture,[status(cth)],[f4])).
% 6.95/2.36 thf(f4,conjecture,(
% 6.95/2.36 ! [X0 : $tType,X3 : $tType,X4 : X0 > X3,X5 : X0 > $o,X6 : X3 > $o] : ((! [X7 : X0] : (('const/sets/IN' @ X3 @ (X4 @ X7) @ X6) = ('const/sets/IN' @ X0 @ X7 @ X5)) & ! [X7 : X3] : (('const/sets/IN' @ X3 @ X7 @ X6) => ? [X8 : X0] : ((X4 @ X8) = X7))) => (('const/sets/IMAGE' @ X0 @ X3 @ X4 @ X5) = X6))),
% 6.95/2.36 file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/SURJECTIVE_IMAGE_EQ_')).
% 6.95/2.36 thf(f212,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (((sK2 @ X0) != sK9) | ((sK4 @ sK9) = $false) | ($false = ('const/sets/IN' @ sK0 @ X0 @ sK3))) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f211])).
% 6.95/2.36 thf(f211,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (((sK4 @ sK9) = $false) | ($false = ('const/sets/IN' @ sK0 @ X0 @ sK3)) | ((sK2 @ X0) != sK9) | ($true = $false)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f57,f116])).
% 6.95/2.36 thf(f116,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : $tType,X3 : X2 > X0,X1 : X0,X4 : X2 > $o,X5 : X2] : ((('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1) = $true) | ($false = ('const/sets/IN' @ X2 @ X5 @ X4)) | ((X3 @ X5) != X1)) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f115])).
% 6.95/2.36 thf(f115,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : $tType,X3 : X2 > X0,X1 : X0,X4 : X2 > $o,X5 : X2] : (((X3 @ X5) != X1) | ($true = $false) | ($false = ('const/sets/IN' @ X2 @ X5 @ X4)) | (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1) = $true)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f38,f35])).
% 6.95/2.36 thf(f35,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0,X5 : X1] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $true) | ($false = ('const/sets/IN' @ X1 @ X5 @ X3)) | ((X4 @ X5) != X2)) )),
% 6.95/2.36 inference(equality_proxy_clausification,[status(thm)],[f34])).
% 6.95/2.36 thf(f34,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0,X5 : X1] : (($false = ((X4 @ X5) = X2)) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $true) | ($false = ('const/sets/IN' @ X1 @ X5 @ X3))) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 6.95/2.36 thf(f33,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0,X5 : X1] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $true) | ($false = (('const/sets/IN' @ X1 @ X5 @ X3) & ((X4 @ X5) = X2)))) )),
% 6.95/2.36 inference(beta_eta_normalization,[status(thm)],[f32])).
% 6.95/2.36 thf(f32,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0,X5 : X1] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $true) | (((^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2))) @ X5) = $false)) )),
% 6.95/2.36 inference(pi_clausification,[status(thm)],[f25])).
% 6.95/2.36 thf(f25,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $true) | ($false = (?? @ X1 @ (^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2)))))) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f20])).
% 6.95/2.36 thf(f20,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = (?? @ X1 @ (^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2)))))) )),
% 6.95/2.36 inference(cnf_transformation,[status(thm)],[f12])).
% 6.95/2.36 thf(f12,plain,(
% 6.95/2.36 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = (?? @ X1 @ (^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2)))))),
% 6.95/2.36 inference(fool_elimination,[status(thm)],[f11])).
% 6.95/2.36 thf(f11,plain,(
% 6.95/2.36 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : (? [X5 : X1] : (((X4 @ X5) = X2) & ('const/sets/IN' @ X1 @ X5 @ X3)) = ('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)))),
% 6.95/2.36 inference(rectify,[status(thm)],[f2])).
% 6.95/2.36 thf(f2,axiom,(
% 6.95/2.36 ! [X1 : $tType,X0 : $tType,X3 : X1,X4 : X0 > $o,X5 : X0 > X1] : (? [X6 : X0] : (((X5 @ X6) = X3) & ('const/sets/IN' @ X0 @ X6 @ X4)) = ('const/sets/IN' @ X1 @ X3 @ ('const/sets/IMAGE' @ X0 @ X1 @ X5 @ X4)))),
% 6.95/2.36 file('/export/starexec/sandbox/tmp/tmp.C5RGp7TORN/DTF2THF_29506.p','thm/sets/IN_IMAGE_')).
% 6.95/2.36 thf(f38,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (($false = ('const/sets/IN' @ X0 @ X2 @ X1)) | ((X1 @ X2) = $true)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 6.95/2.36 thf(f57,plain,(
% 6.95/2.36 ($false = ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9)) | ((sK4 @ sK9) = $false)),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f55])).
% 6.95/2.36 thf(f55,plain,(
% 6.95/2.36 ((sK4 @ sK9) != ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9))),
% 6.95/2.36 inference(negative_extensionality,[status(thm)],[f22])).
% 6.95/2.36 thf(f22,plain,(
% 6.95/2.36 (sK4 != ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3))),
% 6.95/2.36 inference(cnf_transformation,[status(thm)],[f18])).
% 6.95/2.36 thf(f130,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : (((sK3 @ (sK5 @ X0)) = $true) | ((sK4 @ X0) = $false)) )),
% 6.95/2.36 inference(duplicate_literal_removal,[status(thm)],[f127])).
% 6.95/2.36 thf(f127,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : (((sK4 @ X0) = $false) | ((sK4 @ X0) = $false) | ((sK3 @ (sK5 @ X0)) = $true)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f122,f105])).
% 6.95/2.36 thf(f122,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (((sK4 @ (sK2 @ X0)) = $false) | ($true = (sK3 @ X0))) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f119])).
% 6.95/2.36 thf(f119,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (($true = $false) | ((sK4 @ (sK2 @ X0)) = $false) | ($true = (sK3 @ X0))) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f106,f38])).
% 6.95/2.36 thf(f106,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (($true = ('const/sets/IN' @ sK0 @ X0 @ sK3)) | ((sK4 @ (sK2 @ X0)) = $false)) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f98])).
% 6.95/2.36 thf(f98,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (($true = $false) | ((sK4 @ (sK2 @ X0)) = $false) | ($true = ('const/sets/IN' @ sK0 @ X0 @ sK3))) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f36,f39])).
% 6.95/2.36 thf(f36,plain,(
% 6.95/2.36 ( ! [X5 : sK0] : (($false = ('const/sets/IN' @ sK1 @ (sK2 @ X5) @ sK4)) | (('const/sets/IN' @ sK0 @ X5 @ sK3) = $true)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 6.95/2.36 thf(f24,plain,(
% 6.95/2.36 ( ! [X5 : sK0] : ((('const/sets/IN' @ sK0 @ X5 @ sK3) = ('const/sets/IN' @ sK1 @ (sK2 @ X5) @ sK4))) )),
% 6.95/2.36 inference(cnf_transformation,[status(thm)],[f18])).
% 6.95/2.36 thf(f1417,plain,(
% 6.95/2.36 ($true = (sK4 @ sK9))),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f1400])).
% 6.95/2.36 thf(f1400,plain,(
% 6.95/2.36 ($true = (sK4 @ sK9)) | ($true = $false)),
% 6.95/2.36 inference(superposition,[status(thm)],[f255,f811])).
% 6.95/2.36 thf(f811,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0) = $false) | ((sK4 @ X0) = $true)) )),
% 6.95/2.36 inference(duplicate_literal_removal,[status(thm)],[f796])).
% 6.95/2.36 thf(f796,plain,(
% 6.95/2.36 ( ! [X0 : sK1] : ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0) = $false) | ((sK4 @ X0) = $true) | (('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ X0) = $false)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f390,f264])).
% 6.95/2.36 thf(f264,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : $tType,X3 : X2 > X0,X1 : X0,X4 : X2 > $o] : (((X3 @ (sK6 @ X0 @ X2 @ X4 @ X3 @ X1)) = X1) | (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1) = $false)) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f259])).
% 6.95/2.36 thf(f259,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : $tType,X3 : X2 > X0,X1 : X0,X4 : X2 > $o] : (((X3 @ (sK6 @ X0 @ X2 @ X4 @ X3 @ X1)) = X1) | ($true = $false) | (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1) = $false)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f31,f39])).
% 6.95/2.36 thf(f31,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false) | ((X4 @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2)) = X2)) )),
% 6.95/2.36 inference(equality_proxy_clausification,[status(thm)],[f29])).
% 6.95/2.36 thf(f29,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false) | (((X4 @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2)) = X2) = $true)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 6.95/2.36 thf(f28,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false) | ($true = (('const/sets/IN' @ X1 @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2) @ X3) & ((X4 @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2)) = X2)))) )),
% 6.95/2.36 inference(beta_eta_normalization,[status(thm)],[f27])).
% 6.95/2.36 thf(f27,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false) | (((^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2))) @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2)) = $true)) )),
% 6.95/2.36 inference(sigma_clausification,[status(thm)],[f26])).
% 6.95/2.36 thf(f26,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : (($true = (?? @ X1 @ (^[Y0 : X1]: (('const/sets/IN' @ X1 @ Y0 @ X3) & ((X4 @ Y0) = X2))))) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f20])).
% 6.95/2.36 thf(f390,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : sK0 > X0,X1 : X0] : (($true = (sK4 @ (sK2 @ (sK6 @ X0 @ sK0 @ sK3 @ X2 @ X1)))) | ($false = ('const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK3 @ X1))) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f386])).
% 6.95/2.36 thf(f386,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : sK0 > X0,X1 : X0] : (($true = $false) | ($true = (sK4 @ (sK2 @ (sK6 @ X0 @ sK0 @ sK3 @ X2 @ X1)))) | ($false = ('const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK3 @ X1))) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f39,f301])).
% 6.95/2.36 thf(f301,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : X0,X1 : sK0 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK3)) = $false) | ($true = (sK4 @ (sK2 @ (sK6 @ X0 @ sK0 @ sK3 @ X1 @ X2))))) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f294])).
% 6.95/2.36 thf(f294,plain,(
% 6.95/2.36 ( ! [X0 : $tType,X2 : X0,X1 : sK0 > X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK3)) = $false) | ($true = (sK4 @ (sK2 @ (sK6 @ X0 @ sK0 @ sK3 @ X1 @ X2)))) | ($true = $false)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f83,f30])).
% 6.95/2.36 thf(f30,plain,(
% 6.95/2.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1 > $o,X4 : X1 > X0] : (($true = ('const/sets/IN' @ X1 @ (sK6 @ X0 @ X1 @ X3 @ X4 @ X2) @ X3)) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3)) = $false)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 6.95/2.36 thf(f83,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (($false = ('const/sets/IN' @ sK0 @ X0 @ sK3)) | ((sK4 @ (sK2 @ X0)) = $true)) )),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f79])).
% 6.95/2.36 thf(f79,plain,(
% 6.95/2.36 ( ! [X0 : sK0] : (($true = $false) | ($false = ('const/sets/IN' @ sK0 @ X0 @ sK3)) | ((sK4 @ (sK2 @ X0)) = $true)) )),
% 6.95/2.36 inference(superposition,[status(thm)],[f37,f38])).
% 6.95/2.36 thf(f37,plain,(
% 6.95/2.36 ( ! [X5 : sK0] : (($true = ('const/sets/IN' @ sK1 @ (sK2 @ X5) @ sK4)) | (('const/sets/IN' @ sK0 @ X5 @ sK3) = $false)) )),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 6.95/2.36 thf(f255,plain,(
% 6.95/2.36 ($true = ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9))),
% 6.95/2.36 inference(trivial_inequality_removal,[status(thm)],[f250])).
% 6.95/2.36 thf(f250,plain,(
% 6.95/2.36 ($true = $false) | ($true = ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9))),
% 6.95/2.36 inference(backward_demodulation,[status(thm)],[f56,f246])).
% 6.95/2.36 thf(f56,plain,(
% 6.95/2.36 ($true = ('const/sets/IMAGE' @ sK0 @ sK1 @ sK2 @ sK3 @ sK9)) | ($true = (sK4 @ sK9))),
% 6.95/2.36 inference(binary_proxy_clausification,[status(thm)],[f55])).
% 6.95/2.36 % SZS output end Proof for DTF2THF_29506
% 6.95/2.36 % (29762)------------------------------
% 6.95/2.36 % (29762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.95/2.36 % (29762)Termination reason: Refutation
% 6.95/2.36
% 6.95/2.36 % (29762)Memory used [KB]: 1791
% 6.95/2.36 % (29762)Time elapsed: 0.150 s
% 6.95/2.36 % (29762)Instructions burned: 491 (million)
% 6.95/2.36 % (29762)------------------------------
% 6.95/2.36 % (29762)------------------------------
% 6.95/2.36 % (29662)Success in time 1.006 s
%------------------------------------------------------------------------------