%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ANA090^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:38:51 AM UTC 2026
% Result : Theorem 267.22s 39.41s
% Output : Refutation 267.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 44
% Syntax : Number of formulae : 477 ( 64 unt; 0 typ; 33 def)
% Number of atoms : 4005 (1068 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 5455 ( 506 ~; 981 |; 69 &;3480 @)
% ( 33 <=>; 186 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 174 ( 174 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 64 usr; 46 con; 0-4 aty)
% ( 176 !!; 24 ??; 0 @@+; 0 @@-)
% Number of variables : 836 ( 231 ^; 586 !; 19 ?; 836 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(func_def_2,type,
'const/sets/INSERT':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_3,type,
'const/sets/inf': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(func_def_4,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_7,type,
'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).
thf(func_def_8,type,
'const/realax/real_min': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_9,type,
'const/realax/real_max': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_10,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_11,type,
'const/realax/real_abs': 'type/realax/real' > 'type/realax/real' ).
thf(func_def_12,type,
'const/class/COND':
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_27,type,
sK0: 'type/realax/real' > $o ).
thf(func_def_28,type,
sK1: 'type/realax/real' ).
thf(func_def_30,type,
sK3: 'type/realax/real' ).
thf(func_def_31,type,
sK4:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_32,type,
sK5: ( 'type/realax/real' > $o ) > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_33,type,
sK6: ( 'type/realax/real' > $o ) > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_34,type,
ph7:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
sK8: 'type/realax/real' ).
thf(func_def_36,type,
sK9: 'type/realax/real' ).
thf(func_def_37,type,
sK10: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_38,type,
sK11: 'type/realax/real' ).
thf(func_def_39,type,
sK12: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_40,type,
sK13: 'type/realax/real' ).
thf(func_def_41,type,
sK14: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_42,type,
sK15: 'type/realax/real' ).
thf(func_def_43,type,
sK16: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_44,type,
sK17: 'type/realax/real' ).
thf(func_def_45,type,
sK18: 'type/realax/real' ).
thf(func_def_46,type,
sK19: 'type/realax/real' > 'type/realax/real' ).
thf(f17150,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f227,f248,f256,f297,f302,f1003,f3611,f3801,f4285,f5024,f5099,f5131,f5207,f6505,f7802,f7915,f8013,f9432,f9481,f10560,f10922,f10954,f10965,f11480,f11491,f11542,f11959,f12272,f12395,f13358,f13402,f13481,f14245,f14319,f14321,f14586,f16481,f17149]) ).
thf(f17149,plain,
( spl2_77
| ~ spl2_6
| ~ spl2_76 ),
inference(avatar_split_clause,[status(thm)],[f14715,f14581,f245,f14584]) ).
thf(f14584,definition,
( spl2_77
<=> ! [X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl2_77])],[avatar_definition]) ).
thf(f245,definition,
( spl2_6
<=> ( ( 'const/sets/sup' @ sK0 )
= ( 'const/sets/inf' @ sK0 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_6])],[avatar_definition]) ).
thf(f14581,definition,
( spl2_76
<=> ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_76])],[avatar_definition]) ).
thf(f14715,plain,
( ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_6
| ~ spl2_76 ),
inference(forward_demodulation,[status(thm)],[f14714,f247]) ).
thf(f247,plain,
( ( ( 'const/sets/sup' @ sK0 )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[status(thm)],[f245]) ).
thf(f14714,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X0 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_76 ),
inference(subsumption_resolution,[status(thm)],[f14703,f59]) ).
thf(f59,plain,
'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f47,plain,
( ! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 )
!= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ) )
& ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f46,f45]) ).
thf(f45,plain,
( ? [X0: 'type/realax/real' > $o] :
( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ( ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 ) ) ) )
=> ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 )
!= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ) )
& ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f46,plain,
( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 )
!= $true ) )
=> ! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f44,plain,
? [X0: 'type/realax/real' > $o] :
( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ( ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 ) ) ) ),
inference(flattening,[status(thm)],[f43]) ).
thf(f43,plain,
? [X0: 'type/realax/real' > $o] :
( ( ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 ) ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
~ ! [X0: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $true ) ) )
=> ( ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) )
= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 ) ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
~ ! [X0: 'type/realax/real' > $o] :
( ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ? [X3: 'type/realax/real'] :
( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X3 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 )
= ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,negated_conjecture,
~ ! [X0: 'type/realax/real' > $o] :
( ( ? [X5: 'type/realax/real'] :
! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X1 ) @ X5 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ? [X1: 'type/realax/real'] :
( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 )
= ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
thf(f12,conjecture,
! [X0: 'type/realax/real' > $o] :
( ( ? [X5: 'type/realax/real'] :
! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X1 ) @ X5 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ? [X1: 'type/realax/real'] :
( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= X0 )
= ( ( 'const/sets/inf' @ X0 )
= ( 'const/sets/sup' @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/REAL_SUP_EQ_INF_') ).
thf(f14703,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X0 )
= $true ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[status(thm)],[f14690]) ).
thf(f14690,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X0 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( $false = $true ) )
| ~ spl2_76 ),
inference(superposition,[status(thm)],[f14599,f160]) ).
thf(f160,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $false
= ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f159]) ).
thf(f159,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f158]) ).
thf(f158,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 )
= $true )
| ( $false
= ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f157]) ).
thf(f157,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f156]) ).
thf(f156,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 ) )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f155]) ).
thf(f155,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) )
@ X3 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) ) ),
inference(pi_clausification,[status(thm)],[f139]) ).
thf(f139,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $true
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) ) )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f137]) ).
thf(f137,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f136]) ).
thf(f136,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f135]) ).
thf(f135,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true )
| ( ( ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
@ X2 )
= $false )
| ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
= $true ) ),
inference(pi_clausification,[status(thm)],[f134]) ).
thf(f134,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) ) )
= $false )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true )
| ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f133]) ).
thf(f133,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) ) )
= $false )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f132]) ).
thf(f132,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) ) )
& ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f131]) ).
thf(f131,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) ) )
& ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f130]) ).
thf(f130,plain,
! [X1: 'type/realax/real' > $o] :
( $true
= ( ^ [Y0: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) ) )
& ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/inf' @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f61]) ).
thf(f61,plain,
( ( !! @ ( 'type/realax/real' > $o )
@ ^ [Y0: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) ) )
& ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/inf' @ Y0 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
( ( !! @ ( 'type/realax/real' > $o )
@ ^ [Y0: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) ) )
& ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ Y2 ) ) )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/inf' @ Y0 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X1 @ X2 ) ) )
=> ( ! [X3: 'type/realax/real'] :
( ! [X4: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X4 @ X0 )
=> ( 'const/realax/real_le' @ X3 @ X4 ) )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X0 ) ) )
& ! [X5: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X0 ) @ X5 ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
! [X0: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X1 @ X2 ) ) )
=> ( ! [X1: 'type/realax/real'] :
( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X1 @ X2 ) )
=> ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ X0 ) ) )
& ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
=> ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X0 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/INF_') ).
thf(f14599,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK1 ) @ ( sK5 @ sK0 @ X0 ) )
= $true )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[status(thm)],[f14593]) ).
thf(f14593,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK1 ) @ ( sK5 @ sK0 @ X0 ) )
= $true ) )
| ~ spl2_76 ),
inference(superposition,[status(thm)],[f14582,f102]) ).
thf(f102,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f101]) ).
thf(f101,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( ( 'const/realax/real_le' @ X2 @ X1 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X2 ) ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f99]) ).
thf(f99,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= ( ( 'const/realax/real_le' @ X2 @ X1 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X2 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f98]) ).
thf(f98,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( ( 'const/realax/real_le' @ X2 @ X1 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X2 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f97]) ).
thf(f97,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ^ [Y0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y0 @ X1 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ Y0 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ Y0 ) @ X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f96]) ).
thf(f96,plain,
! [X1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y0 @ X1 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ Y0 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ Y0 ) @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f95]) ).
thf(f95,plain,
! [X1: 'type/realax/real'] :
( ( ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y1 @ Y0 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ Y0 ) @ Y1 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ Y1 ) @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y1 @ Y0 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ Y0 ) @ Y1 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ Y1 ) @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y1 @ Y0 )
& ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ Y0 ) @ Y1 ) )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ Y1 ) @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
& ( ( 'const/realax/real_le' @ X0 @ X1 )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 ) ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
& ( ( 'const/realax/real_le' @ X0 @ X1 )
= ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/real/REAL_ABS_BOUNDS_') ).
thf(f14582,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_76 ),
inference(avatar_component_clause,[status(thm)],[f14581]) ).
thf(f16481,plain,
( spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f16480]) ).
thf(f16480,plain,
( $false
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(subsumption_resolution,[status(thm)],[f16479,f234]) ).
thf(f234,plain,
( ( ( sK0 @ sK8 )
!= $false )
| spl2_4 ),
inference(avatar_component_clause,[status(thm)],[f233]) ).
thf(f233,definition,
( spl2_4
<=> ( ( sK0 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition]) ).
thf(f16479,plain,
( ( ( sK0 @ sK8 )
= $false )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(trivial_inequality_removal,[status(thm)],[f16475]) ).
thf(f16475,plain,
( ( ( sK0 @ sK8 )
= $false )
| ( sK8 != sK8 )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f14571,f16462]) ).
thf(f16462,plain,
( ( ( sK19 @ sK8 )
= sK8 )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(equality_resolution,[status(thm)],[f16459]) ).
thf(f16459,plain,
( ! [X0: 'type/realax/real'] :
( ( sK8 != X0 )
| ( ( sK19 @ X0 )
= X0 ) )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(equality_factoring,[status(thm)],[f15772]) ).
thf(f15772,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK19 @ X0 )
= sK8 )
| ( ( sK19 @ X0 )
= X0 ) )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(trivial_inequality_removal,[status(thm)],[f15764]) ).
thf(f15764,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( sK19 @ X0 )
= sK8 )
| ( ( sK19 @ X0 )
= X0 ) )
| spl2_4
| ~ spl2_7
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f15484,f14559]) ).
thf(f14559,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK0 @ ( sK19 @ X0 ) )
= $true )
| ( ( sK19 @ X0 )
= X0 ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[status(thm)],[f14558]) ).
thf(f14558,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK0 @ ( sK19 @ X0 ) )
= $true )
| ( $false = $true )
| ( ( sK19 @ X0 )
= X0 ) )
| ~ spl2_7 ),
inference(forward_demodulation,[status(thm)],[f14557,f81]) ).
thf(f81,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
! [X0: $tType,X1: X0] :
( ( ~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f79]) ).
thf(f79,plain,
! [X0: $tType,X1: X0] :
( ( ^ [Y0: X0] :
~ ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
~ ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f40,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
~ ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 ) )
= $true ),
inference(closure,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
~ ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f24]) ).
thf(f24,plain,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/NOT_IN_EMPTY_') ).
thf(f14557,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK19 @ X0 )
= X0 )
| ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK19 @ X0 ) @ 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( ( sK0 @ ( sK19 @ X0 ) )
= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[status(thm)],[f14554]) ).
thf(f14554,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK0 @ ( sK19 @ X0 ) )
= $true )
| ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK19 @ X0 ) @ 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( $false = $true )
| ( ( sK19 @ X0 )
= X0 ) )
| ~ spl2_7 ),
inference(superposition,[status(thm)],[f14486,f285]) ).
thf(f285,plain,
! [X0: $tType,X2: X0,X3: X0 > $o,X1: X0] :
( ( ( 'const/sets/INSERT' @ X0 @ X2 @ X3 @ X1 )
= $false )
| ( X1 = X2 )
| ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f283]) ).
thf(f283,plain,
! [X0: $tType,X2: X0,X3: X0 > $o,X1: X0] :
( ( X1 = X2 )
| ( ( 'const/sets/INSERT' @ X0 @ X2 @ X3 @ X1 )
= $false )
| ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
= $true )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f172,f78]) ).
thf(f78,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
= $true )
| ( ( X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f76]) ).
thf(f76,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( X2 @ X1 )
= ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f75]) ).
thf(f75,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( ( X2 @ X1 )
= ( 'const/sets/IN' @ X0 @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f74]) ).
thf(f74,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( ^ [Y0: X0 > $o] :
( ( Y0 @ X1 )
= ( 'const/sets/IN' @ X0 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f73]) ).
thf(f73,plain,
! [X0: $tType,X1: X0] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( ( Y0 @ X1 )
= ( 'const/sets/IN' @ X0 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f72]) ).
thf(f72,plain,
! [X0: $tType,X1: X0] :
( ( ^ [Y0: X0] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f39]) ).
thf(f39,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(closure,[status(thm)],[f23]) ).
thf(f23,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f22]) ).
thf(f22,plain,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( X1 @ X2 )
= ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
! [X0: $tType,X4: X0 > $o,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ X4 )
= ( X4 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/IN_') ).
thf(f172,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $false )
| ( X2 = X3 )
| ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f171]) ).
thf(f171,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
= $true )
| ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $false )
| ( ( X3 = X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f170]) ).
thf(f170,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
| ( X3 = X2 ) )
= $true )
| ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f168]) ).
thf(f168,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
| ( X3 = X2 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f167]) ).
thf(f167,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
| ( X3 = X2 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f166]) ).
thf(f166,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
| ( Y0 = X2 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[status(thm)],[f165]) ).
thf(f165,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
| ( Y0 = X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f164]) ).
thf(f164,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( $true
= ( ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ ( 'const/sets/INSERT' @ X0 @ Y0 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ Y1 @ X1 )
| ( Y1 = Y0 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f163]) ).
thf(f163,plain,
! [X0: $tType,X1: X0 > $o] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ ( 'const/sets/INSERT' @ X0 @ Y0 @ X1 ) )
= ( ( 'const/sets/IN' @ X0 @ Y1 @ X1 )
| ( Y1 = Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f162]) ).
thf(f162,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ^ [Y0: X0 > $o] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ ( 'const/sets/INSERT' @ X0 @ Y1 @ Y0 ) )
= ( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
| ( Y2 = Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ ( 'const/sets/INSERT' @ X0 @ Y1 @ Y0 ) )
= ( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
| ( Y2 = Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f41]) ).
thf(f41,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ ( 'const/sets/INSERT' @ X0 @ Y1 @ Y0 ) )
= ( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
| ( Y2 = Y1 ) ) ) ) ) )
= $true ),
inference(closure,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ ( 'const/sets/INSERT' @ X0 @ Y1 @ Y0 ) )
= ( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
| ( Y2 = Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $tType,X1: X0,X2: X0,X3: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X3 ) )
= ( X1 = X2 ) )
| ( 'const/sets/IN' @ X0 @ X1 @ X3 ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
! [X0: $tType,X1: X0,X2: X0,X3: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X3 ) )
= ( X1 = X2 ) )
| ( 'const/sets/IN' @ X0 @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/IN_INSERT_') ).
thf(f14486,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ ( sK19 @ X1 ) )
= $true )
| ( ( sK0 @ ( sK19 @ X1 ) )
= $true ) )
| ~ spl2_7 ),
inference(binary_proxy_clausification,[status(thm)],[f14485]) ).
thf(f14485,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ ( sK19 @ X1 ) )
!= ( sK0 @ ( sK19 @ X1 ) ) )
| ~ spl2_7 ),
inference(negative_extensionality,[status(thm)],[f255]) ).
thf(f255,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
!= sK0 )
| ~ spl2_7 ),
inference(avatar_component_clause,[status(thm)],[f254]) ).
thf(f254,definition,
( spl2_7
<=> ! [X1: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
!= sK0 ) ),
introduced(definition,[new_symbols(naming,[spl2_7])],[avatar_definition]) ).
thf(f15484,plain,
( ! [X0: 'type/realax/real'] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK8 = X0 ) )
| spl2_4
| ~ spl2_12
| ~ spl2_77 ),
inference(trivial_inequality_removal,[status(thm)],[f15474]) ).
thf(f15474,plain,
( ! [X0: 'type/realax/real'] :
( ( $false != $false )
| ( sK8 = X0 )
| ( $false
= ( sK0 @ X0 ) ) )
| spl2_4
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f234,f15443]) ).
thf(f15443,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $false
= ( sK0 @ X0 ) )
| ( X0 = X1 )
| ( ( sK0 @ X1 )
= $false ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f15387,f15387]) ).
thf(f15387,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( $false
= ( sK0 @ X0 ) ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(trivial_inequality_removal,[status(thm)],[f15377]) ).
thf(f15377,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( $false
= ( sK0 @ X0 ) )
| ( ( 'const/sets/sup' @ sK0 )
= X0 ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f78,f15243]) ).
thf(f15243,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/sup' @ sK0 )
= X0 ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(trivial_inequality_removal,[status(thm)],[f15242]) ).
thf(f15242,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(duplicate_literal_removal,[status(thm)],[f15220]) ).
thf(f15220,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_12
| ~ spl2_77 ),
inference(superposition,[status(thm)],[f3831,f14585]) ).
thf(f14585,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[status(thm)],[f14584]) ).
thf(f3831,plain,
( ! [X0: 'type/realax/real'] :
( ( $false
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[status(thm)],[f3815]) ).
thf(f3815,plain,
( ! [X0: 'type/realax/real'] :
( ( $false
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( $false = $true ) )
| ~ spl2_12 ),
inference(superposition,[status(thm)],[f90,f853]) ).
thf(f853,plain,
( ! [X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK0 ) ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[status(thm)],[f852]) ).
thf(f852,definition,
( spl2_12
<=> ! [X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK0 ) ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_12])],[avatar_definition]) ).
thf(f90,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X2 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ X1 @ X2 )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f89]) ).
thf(f89,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X2 @ X1 )
= $false )
| ( ( X2 = X1 )
= $true )
| ( ( 'const/realax/real_le' @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f87]) ).
thf(f87,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( ( 'const/realax/real_le' @ X1 @ X2 )
& ( 'const/realax/real_le' @ X2 @ X1 ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f86]) ).
thf(f86,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( X2 = X1 )
= ( ( 'const/realax/real_le' @ X1 @ X2 )
& ( 'const/realax/real_le' @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f85]) ).
thf(f85,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( ( 'const/realax/real_le' @ X1 @ X2 )
& ( 'const/realax/real_le' @ X2 @ X1 ) )
= ( X2 = X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f84]) ).
thf(f84,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ^ [Y0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ Y0 )
& ( 'const/realax/real_le' @ Y0 @ X1 ) )
= ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f83]) ).
thf(f83,plain,
! [X1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ Y0 )
& ( 'const/realax/real_le' @ Y0 @ X1 ) )
= ( Y0 = X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f82]) ).
thf(f82,plain,
! [X1: 'type/realax/real'] :
( $true
= ( ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y0 @ Y1 )
& ( 'const/realax/real_le' @ Y1 @ Y0 ) )
= ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y0 @ Y1 )
& ( 'const/realax/real_le' @ Y1 @ Y0 ) )
= ( Y1 = Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ Y0 @ Y1 )
& ( 'const/realax/real_le' @ Y1 @ Y0 ) )
= ( Y1 = Y0 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f36]) ).
thf(f36,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ X0 @ X1 )
& ( ( 'const/realax/real_le' @ X1 @ X0 )
= ( X0 = X1 ) ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,axiom,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ X0 @ X1 )
& ( ( 'const/realax/real_le' @ X1 @ X0 )
= ( X0 = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/realax/REAL_LE_ANTISYM_') ).
thf(f14571,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK19 @ X0 )
!= X0 )
| ( ( sK0 @ ( sK19 @ X0 ) )
= $false ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[status(thm)],[f14568]) ).
thf(f14568,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK19 @ X0 )
!= X0 )
| ( ( sK0 @ ( sK19 @ X0 ) )
= $false )
| ( $false = $true ) )
| ~ spl2_7 ),
inference(superposition,[status(thm)],[f423,f14487]) ).
thf(f14487,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ ( sK19 @ X1 ) )
= $false )
| ( ( sK0 @ ( sK19 @ X1 ) )
= $false ) )
| ~ spl2_7 ),
inference(binary_proxy_clausification,[status(thm)],[f14485]) ).
thf(f423,plain,
! [X0: $tType,X2: X0,X3: X0 > $o,X1: X0] :
( ( ( 'const/sets/INSERT' @ X0 @ X2 @ X3 @ X1 )
= $true )
| ( X1 != X2 ) ),
inference(trivial_inequality_removal,[status(thm)],[f420]) ).
thf(f420,plain,
! [X0: $tType,X2: X0,X3: X0 > $o,X1: X0] :
( ( ( 'const/sets/INSERT' @ X0 @ X2 @ X3 @ X1 )
= $true )
| ( $false = $true )
| ( X1 != X2 ) ),
inference(superposition,[status(thm)],[f175,f77]) ).
thf(f77,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
= $false )
| ( ( X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f76]) ).
thf(f175,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $true )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f173]) ).
thf(f173,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( X3 = X2 )
= $false )
| ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f169]) ).
thf(f169,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INSERT' @ X0 @ X2 @ X1 ) )
= $true )
| ( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
| ( X3 = X2 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f168]) ).
thf(f14586,plain,
( spl2_76
| spl2_77
| ~ spl2_6 ),
inference(avatar_split_clause,[status(thm)],[f14577,f245,f14584,f14581]) ).
thf(f14577,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_6 ),
inference(forward_demodulation,[status(thm)],[f597,f247]) ).
thf(f597,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) ),
inference(subsumption_resolution,[status(thm)],[f587,f59]) ).
thf(f587,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f580]) ).
thf(f580,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK5 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true != $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) ),
inference(superposition,[status(thm)],[f60,f161]) ).
thf(f161,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f159]) ).
thf(f60,plain,
! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 )
!= $true )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f14321,plain,
~ spl2_73,
inference(avatar_contradiction_clause,[status(thm)],[f14320]) ).
thf(f14320,plain,
( $false
| ~ spl2_73 ),
inference(equality_resolution,[status(thm)],[f14318]) ).
thf(f14318,plain,
( ! [X0: 'type/realax/real'] : ( sK3 != X0 )
| ~ spl2_73 ),
inference(avatar_component_clause,[status(thm)],[f14317]) ).
thf(f14317,definition,
( spl2_73
<=> ! [X0: 'type/realax/real'] : ( sK3 != X0 ) ),
introduced(definition,[new_symbols(naming,[spl2_73])],[avatar_definition]) ).
thf(f14319,plain,
( spl2_11
| spl2_73
| ~ spl2_16 ),
inference(avatar_split_clause,[status(thm)],[f14312,f1001,f14317,f766]) ).
thf(f766,definition,
( spl2_11
<=> ! [X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl2_11])],[avatar_definition]) ).
thf(f1001,definition,
( spl2_16
<=> ! [X0: 'type/realax/real'] :
( sK3
= ( sK5 @ sK0 @ X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_16])],[avatar_definition]) ).
thf(f14312,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( sK3 != X0 )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_16 ),
inference(subsumption_resolution,[status(thm)],[f13377,f59]) ).
thf(f13377,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( sK3 != X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_16 ),
inference(superposition,[status(thm)],[f556,f1002]) ).
thf(f1002,plain,
( ! [X0: 'type/realax/real'] :
( sK3
= ( sK5 @ sK0 @ X0 ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[status(thm)],[f1001]) ).
thf(f556,plain,
! [X2: 'type/realax/real',X0: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( sK5 @ X1 @ X0 )
!= X0 )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f548]) ).
thf(f548,plain,
! [X2: 'type/realax/real',X0: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X1 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( sK5 @ X1 @ X0 )
!= X0 )
| ( $false = $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ X1 ) @ X2 )
= $true ) ),
inference(superposition,[status(thm)],[f160,f93]) ).
thf(f93,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f91]) ).
thf(f91,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true )
| ( ( X2 = X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f88]) ).
thf(f88,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( ( 'const/realax/real_le' @ X1 @ X2 )
& ( 'const/realax/real_le' @ X2 @ X1 ) )
= $true )
| ( ( X2 = X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f86]) ).
thf(f14245,plain,
( ~ spl2_5
| ~ spl2_11
| spl2_35
| spl2_68
| ~ spl2_71 ),
inference(avatar_contradiction_clause,[status(thm)],[f14244]) ).
thf(f14244,plain,
( $false
| ~ spl2_5
| ~ spl2_11
| spl2_35
| spl2_68
| ~ spl2_71 ),
inference(subsumption_resolution,[status(thm)],[f14243,f4498]) ).
thf(f4498,plain,
( ( sK3
!= ( 'const/sets/inf' @ sK0 ) )
| spl2_35 ),
inference(avatar_component_clause,[status(thm)],[f4497]) ).
thf(f4497,definition,
( spl2_35
<=> ( sK3
= ( 'const/sets/inf' @ sK0 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_35])],[avatar_definition]) ).
thf(f14243,plain,
( ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_5
| ~ spl2_11
| spl2_68
| ~ spl2_71 ),
inference(forward_demodulation,[status(thm)],[f14242,f4250]) ).
thf(f4250,plain,
( ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK3 )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4219,f59]) ).
thf(f4219,plain,
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK3 )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4178]) ).
thf(f4178,plain,
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK3 )
| ( $false = $true )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f4159,f651]) ).
thf(f651,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f636]) ).
thf(f636,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f128,f81]) ).
thf(f128,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X2 )
= $true )
| ( X1 = X2 )
| ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f127]) ).
thf(f127,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( X1 = X2 )
| ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X1 )
!= ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X2 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f126]) ).
thf(f126,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( X1 = X2 )
| ( ( ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X2 )
= ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 @ X2 ) @ X1 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f125]) ).
thf(f125,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( ( ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
= ( 'const/sets/IN' @ X0 @ Y0 @ X1 ) )
@ ( sK4 @ X0 @ X1 @ X2 ) )
= $false )
| ( X1 = X2 ) ),
inference(sigma_clausification,[status(thm)],[f124]) ).
thf(f124,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( X1 = X2 )
| ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
= ( 'const/sets/IN' @ X0 @ Y0 @ X1 ) ) )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f117]) ).
thf(f117,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( ( X2 = X1 )
= $true )
| ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
= ( 'const/sets/IN' @ X0 @ Y0 @ X1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f115]) ).
thf(f115,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
= ( 'const/sets/IN' @ X0 @ Y0 @ X1 ) ) )
= ( X2 = X1 ) ),
inference(equality_proxy_clausification,[status(thm)],[f114]) ).
thf(f114,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
= ( 'const/sets/IN' @ X0 @ Y0 @ X1 ) ) )
= ( X2 = X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f113]) ).
thf(f113,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > $o] :
( ( ^ [Y0: X0 > $o] :
( ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y1 @ X1 ) ) )
= ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f112]) ).
thf(f112,plain,
! [X0: $tType,X1: X0 > $o] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ Y0 )
= ( 'const/sets/IN' @ X0 @ Y1 @ X1 ) ) )
= ( Y0 = X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ^ [Y0: X0 > $o] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y1 )
= ( 'const/sets/IN' @ X0 @ Y2 @ Y0 ) ) )
= ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y1 )
= ( 'const/sets/IN' @ X0 @ Y2 @ Y0 ) ) )
= ( Y1 = Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f38]) ).
thf(f38,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y1 )
= ( 'const/sets/IN' @ X0 @ Y2 @ Y0 ) ) )
= ( Y1 = Y0 ) ) ) )
= $true ),
inference(closure,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: $tType] :
( ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y1 )
= ( 'const/sets/IN' @ X0 @ Y2 @ Y0 ) ) )
= ( Y1 = Y0 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,axiom,
! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
= ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
= ( X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/EXTENSION_') ).
thf(f4159,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( sK3 = X0 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4158]) ).
thf(f4158,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( sK3 = X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_5 ),
inference(forward_demodulation,[status(thm)],[f4143,f81]) ).
thf(f4143,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3 = X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f172,f243]) ).
thf(f243,plain,
( ( sK0
= ( 'const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[status(thm)],[f241]) ).
thf(f241,definition,
( spl2_5
<=> ( sK0
= ( 'const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real' ) ) ),
introduced(definition,[new_symbols(naming,[spl2_5])],[avatar_definition]) ).
thf(f14242,plain,
( ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_5
| ~ spl2_11
| spl2_68
| ~ spl2_71 ),
inference(subsumption_resolution,[status(thm)],[f14241,f11478]) ).
thf(f11478,plain,
( ( ( 'const/realax/real_le' @ sK3 @ sK3 )
!= $false )
| spl2_68 ),
inference(avatar_component_clause,[status(thm)],[f11477]) ).
thf(f11477,definition,
( spl2_68
<=> ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_68])],[avatar_definition]) ).
thf(f14241,plain,
( ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ~ spl2_5
| ~ spl2_11
| ~ spl2_71 ),
inference(forward_demodulation,[status(thm)],[f14240,f4250]) ).
thf(f14240,plain,
( ( ( 'const/realax/real_le' @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) @ sK3 )
= $false )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_11
| ~ spl2_71 ),
inference(subsumption_resolution,[status(thm)],[f14179,f59]) ).
thf(f14179,plain,
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) @ sK3 )
= $false )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_11
| ~ spl2_71 ),
inference(trivial_inequality_removal,[status(thm)],[f14126]) ).
thf(f14126,plain,
( ( $false = $true )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/realax/real_le' @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) @ sK3 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ~ spl2_11
| ~ spl2_71 ),
inference(superposition,[status(thm)],[f13772,f651]) ).
thf(f13772,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/inf' @ sK0 )
= X0 )
| ( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) ) )
| ~ spl2_11
| ~ spl2_71 ),
inference(trivial_inequality_removal,[status(thm)],[f13731]) ).
thf(f13731,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/inf' @ sK0 )
= X0 )
| ( $false = $true )
| ( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_11
| ~ spl2_71 ),
inference(superposition,[status(thm)],[f13398,f1435]) ).
thf(f1435,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $false )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/inf' @ sK0 )
= X0 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[status(thm)],[f1431]) ).
thf(f1431,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/inf' @ sK0 )
= X0 )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $false )
| ( $false = $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_11 ),
inference(superposition,[status(thm)],[f90,f767]) ).
thf(f767,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[status(thm)],[f766]) ).
thf(f13398,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( $false
= ( 'const/realax/real_le' @ X1 @ sK3 ) ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[status(thm)],[f13397]) ).
thf(f13397,definition,
( spl2_71
<=> ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( $false
= ( 'const/realax/real_le' @ X1 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl2_71])],[avatar_definition]) ).
thf(f13481,plain,
( spl2_68
| ~ spl2_72 ),
inference(avatar_contradiction_clause,[status(thm)],[f13480]) ).
thf(f13480,plain,
( $false
| spl2_68
| ~ spl2_72 ),
inference(trivial_inequality_removal,[status(thm)],[f13435]) ).
thf(f13435,plain,
( ( $false != $false )
| spl2_68
| ~ spl2_72 ),
inference(superposition,[status(thm)],[f11478,f13401]) ).
thf(f13401,plain,
( ! [X0: 'type/realax/real'] :
( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) )
| ~ spl2_72 ),
inference(avatar_component_clause,[status(thm)],[f13400]) ).
thf(f13400,definition,
( spl2_72
<=> ! [X0: 'type/realax/real'] :
( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_72])],[avatar_definition]) ).
thf(f13402,plain,
( spl2_71
| spl2_72
| ~ spl2_16 ),
inference(avatar_split_clause,[status(thm)],[f13391,f1001,f13400,f13397]) ).
thf(f13391,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( $false
= ( 'const/realax/real_le' @ X1 @ sK3 ) )
| ( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) ) )
| ~ spl2_16 ),
inference(forward_demodulation,[status(thm)],[f13390,f1002]) ).
thf(f13390,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false ) )
| ~ spl2_16 ),
inference(subsumption_resolution,[status(thm)],[f13371,f59]) ).
thf(f13371,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $false
= ( 'const/realax/real_le' @ X0 @ sK3 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false ) )
| ~ spl2_16 ),
inference(superposition,[status(thm)],[f149,f1002]) ).
thf(f149,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $false
= ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ X3 @ ( sK5 @ X1 @ X3 ) )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f148]) ).
thf(f148,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X3 ) @ X1 )
=> ( 'const/realax/real_le' @ X3 @ ( sK5 @ X1 @ X3 ) ) )
= $false )
| ( $false
= ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f147]) ).
thf(f147,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( $false
= ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) )
@ ( sK5 @ X1 @ X3 ) )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f145]) ).
thf(f145,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) ) )
| ( $false
= ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f144]) ).
thf(f144,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
= $false )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) ) )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f143]) ).
thf(f143,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) ) )
= $true )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ X2 @ ( sK5 @ X1 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f142]) ).
thf(f142,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $false
= ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f141]) ).
thf(f141,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f140]) ).
thf(f140,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) )
@ X3 )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(pi_clausification,[status(thm)],[f138]) ).
thf(f138,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/inf' @ X1 ) ) ) )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X2 @ Y0 ) ) ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f137]) ).
thf(f13358,plain,
( ~ spl2_5
| ~ spl2_11
| spl2_35
| ~ spl2_43
| spl2_60 ),
inference(avatar_contradiction_clause,[status(thm)],[f13357]) ).
thf(f13357,plain,
( $false
| ~ spl2_5
| ~ spl2_11
| spl2_35
| ~ spl2_43
| spl2_60 ),
inference(subsumption_resolution,[status(thm)],[f13356,f4498]) ).
thf(f13356,plain,
( ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_5
| ~ spl2_11
| ~ spl2_43
| spl2_60 ),
inference(forward_demodulation,[status(thm)],[f13355,f4250]) ).
thf(f13355,plain,
( ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_5
| ~ spl2_11
| ~ spl2_43
| spl2_60 ),
inference(subsumption_resolution,[status(thm)],[f13354,f7962]) ).
thf(f7962,plain,
( ( sK3
!= ( sK5 @ sK0 @ sK3 ) )
| spl2_60 ),
inference(avatar_component_clause,[status(thm)],[f7961]) ).
thf(f7961,definition,
( spl2_60
<=> ( sK3
= ( sK5 @ sK0 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_60])],[avatar_definition]) ).
thf(f13354,plain,
( ( sK3
= ( sK5 @ sK0 @ sK3 ) )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_5
| ~ spl2_11
| ~ spl2_43 ),
inference(forward_demodulation,[status(thm)],[f13353,f4250]) ).
thf(f13353,plain,
( ( sK3
= ( sK5 @ sK0 @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_11
| ~ spl2_43 ),
inference(subsumption_resolution,[status(thm)],[f13275,f59]) ).
thf(f13275,plain,
( ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( sK3
= ( sK5 @ sK0 @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
| ~ spl2_11
| ~ spl2_43 ),
inference(trivial_inequality_removal,[status(thm)],[f13238]) ).
thf(f13238,plain,
( ( $false = $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( sK3
= ( sK5 @ sK0 @ ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
| ( ( sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= ( 'const/sets/inf' @ sK0 ) )
| ~ spl2_11
| ~ spl2_43 ),
inference(superposition,[status(thm)],[f7849,f651]) ).
thf(f7849,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/sets/inf' @ sK0 )
= X0 ) )
| ~ spl2_11
| ~ spl2_43 ),
inference(trivial_inequality_removal,[status(thm)],[f7805]) ).
thf(f7805,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/sets/inf' @ sK0 )
= X0 )
| ( sK3
= ( sK5 @ sK0 @ X0 ) ) )
| ~ spl2_11
| ~ spl2_43 ),
inference(superposition,[status(thm)],[f4980,f1435]) ).
thf(f4980,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[status(thm)],[f4979]) ).
thf(f4979,definition,
( spl2_43
<=> ! [X0: 'type/realax/real'] :
( ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl2_43])],[avatar_definition]) ).
thf(f12395,plain,
( ~ spl2_11
| spl2_26
| spl2_35
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f12394]) ).
thf(f12394,plain,
( $false
| ~ spl2_11
| spl2_26
| spl2_35
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(subsumption_resolution,[status(thm)],[f12385,f1505]) ).
thf(f1505,plain,
( ( ( sK0 @ sK3 )
!= $false )
| spl2_26 ),
inference(avatar_component_clause,[status(thm)],[f1504]) ).
thf(f1504,definition,
( spl2_26
<=> ( ( sK0 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_26])],[avatar_definition]) ).
thf(f12385,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl2_11
| spl2_35
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(trivial_inequality_removal,[status(thm)],[f12379]) ).
thf(f12379,plain,
( ( ( sK0 @ sK3 )
= $false )
| ( $false = $true )
| ~ spl2_11
| spl2_35
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(superposition,[status(thm)],[f12374,f78]) ).
thf(f12374,plain,
( ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_11
| spl2_35
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(subsumption_resolution,[status(thm)],[f12369,f4498]) ).
thf(f12369,plain,
( ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_11
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(trivial_inequality_removal,[status(thm)],[f12363]) ).
thf(f12363,plain,
( ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ( $false = $true )
| ~ spl2_11
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(superposition,[status(thm)],[f1435,f12347]) ).
thf(f12347,plain,
( ( ( 'const/realax/real_le' @ sK3 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(trivial_inequality_removal,[status(thm)],[f12335]) ).
thf(f12335,plain,
( ( ( 'const/realax/real_le' @ sK3 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( $false = $true )
| ~ spl2_43
| ~ spl2_46
| ~ spl2_52
| ~ spl2_59 ),
inference(superposition,[status(thm)],[f12327,f7060]) ).
thf(f7060,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $true ) )
| ~ spl2_52 ),
inference(avatar_component_clause,[status(thm)],[f7059]) ).
thf(f7059,definition,
( spl2_52
<=> ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl2_52])],[avatar_definition]) ).
thf(f12327,plain,
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) @ sK3 )
= $false )
| ~ spl2_43
| ~ spl2_46
| ~ spl2_59 ),
inference(trivial_inequality_removal,[status(thm)],[f12326]) ).
thf(f12326,plain,
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) @ sK3 )
= $false )
| ( $false = $true )
| ~ spl2_43
| ~ spl2_46
| ~ spl2_59 ),
inference(forward_demodulation,[status(thm)],[f12313,f5098]) ).
thf(f5098,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ~ spl2_46 ),
inference(avatar_component_clause,[status(thm)],[f5097]) ).
thf(f5097,definition,
( spl2_46
<=> ! [X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_46])],[avatar_definition]) ).
thf(f12313,plain,
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) @ sK3 )
= $false )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ~ spl2_43
| ~ spl2_46
| ~ spl2_59 ),
inference(superposition,[status(thm)],[f7914,f11799]) ).
thf(f11799,plain,
( ( sK3
= ( sK5 @ sK0 @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) ) )
| ~ spl2_43
| ~ spl2_46 ),
inference(trivial_inequality_removal,[status(thm)],[f11788]) ).
thf(f11788,plain,
( ( $false = $true )
| ( sK3
= ( sK5 @ sK0 @ ( sK6 @ sK0 @ ( 'const/sets/inf' @ sK0 ) ) ) )
| ~ spl2_43
| ~ spl2_46 ),
inference(superposition,[status(thm)],[f4980,f5098]) ).
thf(f7914,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false )
| ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[status(thm)],[f7913]) ).
thf(f7913,definition,
( spl2_59
<=> ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_59])],[avatar_definition]) ).
thf(f12272,plain,
( ~ spl2_11
| spl2_26
| spl2_35
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f12271]) ).
thf(f12271,plain,
( $false
| ~ spl2_11
| spl2_26
| spl2_35
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(subsumption_resolution,[status(thm)],[f12265,f1505]) ).
thf(f12265,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl2_11
| spl2_35
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(trivial_inequality_removal,[status(thm)],[f12256]) ).
thf(f12256,plain,
( ( ( sK0 @ sK3 )
= $false )
| ( $false = $true )
| ~ spl2_11
| spl2_35
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(superposition,[status(thm)],[f12245,f78]) ).
thf(f12245,plain,
( ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_11
| spl2_35
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(subsumption_resolution,[status(thm)],[f12243,f4498]) ).
thf(f12243,plain,
( ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_11
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(trivial_inequality_removal,[status(thm)],[f12233]) ).
thf(f12233,plain,
( ( $false = $true )
| ( sK3
= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_11
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(superposition,[status(thm)],[f12232,f1435]) ).
thf(f12232,plain,
( ( ( 'const/realax/real_le' @ sK3 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ~ spl2_59
| ~ spl2_60
| spl2_68 ),
inference(subsumption_resolution,[status(thm)],[f7969,f11478]) ).
thf(f7969,plain,
( ( ( 'const/realax/real_le' @ sK3 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ~ spl2_59
| ~ spl2_60 ),
inference(superposition,[status(thm)],[f7914,f7963]) ).
thf(f7963,plain,
( ( sK3
= ( sK5 @ sK0 @ sK3 ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[status(thm)],[f7961]) ).
thf(f11959,plain,
( spl2_52
| spl2_66
| ~ spl2_12
| ~ spl2_50 ),
inference(avatar_split_clause,[status(thm)],[f11691,f6498,f852,f10920,f7059]) ).
thf(f10920,definition,
( spl2_66
<=> ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_66])],[avatar_definition]) ).
thf(f6498,definition,
( spl2_50
<=> ( sK3
= ( 'const/sets/sup' @ sK0 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_50])],[avatar_definition]) ).
thf(f11691,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(forward_demodulation,[status(thm)],[f11690,f6500]) ).
thf(f6500,plain,
( ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[status(thm)],[f6498]) ).
thf(f11690,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(subsumption_resolution,[status(thm)],[f11685,f59]) ).
thf(f11685,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(trivial_inequality_removal,[status(thm)],[f11627]) ).
thf(f11627,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK3 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $false = $true ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(superposition,[status(thm)],[f213,f11563]) ).
thf(f11563,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ X1 @ sK3 ) ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(backward_demodulation,[status(thm)],[f853,f6500]) ).
thf(f213,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X3 ) @ X1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X3 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f209]) ).
thf(f209,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X3 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X3 ) @ X3 ) )
= $false )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f208]) ).
thf(f208,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X3 ) )
@ ( sK6 @ X1 @ X3 ) )
= $false )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f207]) ).
thf(f207,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X3 ) ) )
= $false )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f206]) ).
thf(f206,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f205]) ).
thf(f205,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) )
@ X3 )
= $true )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(pi_clausification,[status(thm)],[f204]) ).
thf(f204,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f203]) ).
thf(f203,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) )
@ ( sK6 @ X1 @ X2 ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f202]) ).
thf(f202,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f201]) ).
thf(f201,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f200]) ).
thf(f200,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f199]) ).
thf(f199,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
@ X2 )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true )
| ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f187]) ).
thf(f187,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) ) )
= $false )
| ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f185]) ).
thf(f185,plain,
! [X1: 'type/realax/real' > $o] :
( ( $true
= ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) ) ) )
| ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) ) )
= $false )
| ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f184]) ).
thf(f184,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
& ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) ) ) )
= $false )
| ( $true
= ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f183]) ).
thf(f183,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
& ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ Y0 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f182]) ).
thf(f182,plain,
! [X1: 'type/realax/real' > $o] :
( $true
= ( ^ [Y0: 'type/realax/real' > $o] :
( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) )
& ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/sup' @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
( $true
= ( !! @ ( 'type/realax/real' > $o )
@ ^ [Y0: 'type/realax/real' > $o] :
( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) )
& ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/sup' @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
thf(f35,plain,
( $true
= ( !! @ ( 'type/realax/real' > $o )
@ ^ [Y0: 'type/realax/real' > $o] :
( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = Y0 ) )
& ( ?? @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) ) ) )
=> ( ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ Y2 @ Y1 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ Y0 ) @ Y1 ) ) )
& ( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0 )
=> ( 'const/realax/real_le' @ Y1 @ ( 'const/sets/sup' @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: 'type/realax/real' > $o] :
( ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( ! [X3: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) )
& ! [X4: 'type/realax/real'] :
( ! [X5: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
=> ( 'const/realax/real_le' @ X5 @ X4 ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,axiom,
! [X0: 'type/realax/real' > $o] :
( ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
=> ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) ) )
& ! [X1: 'type/realax/real'] :
( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/SUP_') ).
thf(f11542,plain,
( ~ spl2_12
| spl2_26
| spl2_50
| ~ spl2_67 ),
inference(avatar_contradiction_clause,[status(thm)],[f11541]) ).
thf(f11541,plain,
( $false
| ~ spl2_12
| spl2_26
| spl2_50
| ~ spl2_67 ),
inference(subsumption_resolution,[status(thm)],[f11532,f1505]) ).
thf(f11532,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl2_12
| spl2_50
| ~ spl2_67 ),
inference(trivial_inequality_removal,[status(thm)],[f11526]) ).
thf(f11526,plain,
( ( $false = $true )
| ( ( sK0 @ sK3 )
= $false )
| ~ spl2_12
| spl2_50
| ~ spl2_67 ),
inference(superposition,[status(thm)],[f11522,f78]) ).
thf(f11522,plain,
( ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_12
| spl2_50
| ~ spl2_67 ),
inference(subsumption_resolution,[status(thm)],[f11509,f6499]) ).
thf(f6499,plain,
( ( sK3
!= ( 'const/sets/sup' @ sK0 ) )
| spl2_50 ),
inference(avatar_component_clause,[status(thm)],[f6498]) ).
thf(f11509,plain,
( ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ~ spl2_12
| ~ spl2_67 ),
inference(trivial_inequality_removal,[status(thm)],[f11502]) ).
thf(f11502,plain,
( ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ( $false = $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $false )
| ~ spl2_12
| ~ spl2_67 ),
inference(superposition,[status(thm)],[f11475,f3831]) ).
thf(f11475,plain,
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK3 ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[status(thm)],[f11473]) ).
thf(f11473,definition,
( spl2_67
<=> ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_67])],[avatar_definition]) ).
thf(f11491,plain,
~ spl2_68,
inference(avatar_contradiction_clause,[status(thm)],[f11490]) ).
thf(f11490,plain,
( $false
| ~ spl2_68 ),
inference(trivial_inequality_removal,[status(thm)],[f11482]) ).
thf(f11482,plain,
( ( sK3 != sK3 )
| ( $false = $true )
| ~ spl2_68 ),
inference(superposition,[status(thm)],[f11479,f93]) ).
thf(f11479,plain,
( ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ~ spl2_68 ),
inference(avatar_component_clause,[status(thm)],[f11477]) ).
thf(f11480,plain,
( spl2_67
| spl2_68
| ~ spl2_44
| ~ spl2_51 ),
inference(avatar_split_clause,[status(thm)],[f11171,f6502,f5022,f11477,f11473]) ).
thf(f5022,definition,
( spl2_44
<=> ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_44])],[avatar_definition]) ).
thf(f6502,definition,
( spl2_51
<=> ( sK3
= ( sK6 @ sK0 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_51])],[avatar_definition]) ).
thf(f11171,plain,
( ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK3 ) )
| ~ spl2_44
| ~ spl2_51 ),
inference(superposition,[status(thm)],[f5023,f6504]) ).
thf(f6504,plain,
( ( sK3
= ( sK6 @ sK0 @ sK3 ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[status(thm)],[f6502]) ).
thf(f5023,plain,
( ! [X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[status(thm)],[f5022]) ).
thf(f10965,plain,
( ~ spl2_46
| ~ spl2_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f10964]) ).
thf(f10964,plain,
( $false
| ~ spl2_46
| ~ spl2_51 ),
inference(subsumption_resolution,[status(thm)],[f6504,f10890]) ).
thf(f10890,plain,
( ! [X0: 'type/realax/real'] :
( ( sK6 @ sK0 @ X0 )
!= X0 )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[status(thm)],[f10866]) ).
thf(f10866,plain,
( ! [X0: 'type/realax/real'] :
( ( ( sK6 @ sK0 @ X0 )
!= X0 )
| ( $false = $true ) )
| ~ spl2_46 ),
inference(superposition,[status(thm)],[f5098,f93]) ).
thf(f10954,plain,
( ~ spl2_5
| spl2_26
| ~ spl2_46
| ~ spl2_66 ),
inference(avatar_contradiction_clause,[status(thm)],[f10953]) ).
thf(f10953,plain,
( $false
| ~ spl2_5
| spl2_26
| ~ spl2_46
| ~ spl2_66 ),
inference(subsumption_resolution,[status(thm)],[f10950,f1505]) ).
thf(f10950,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl2_5
| ~ spl2_46
| ~ spl2_66 ),
inference(backward_demodulation,[status(thm)],[f10888,f10937]) ).
thf(f10937,plain,
( ! [X0: 'type/realax/real'] :
( sK3
= ( sK6 @ sK0 @ X0 ) )
| ~ spl2_5
| ~ spl2_66 ),
inference(trivial_inequality_removal,[status(thm)],[f10931]) ).
thf(f10931,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( $false = $true ) )
| ~ spl2_5
| ~ spl2_66 ),
inference(superposition,[status(thm)],[f4159,f10921]) ).
thf(f10921,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true )
| ~ spl2_66 ),
inference(avatar_component_clause,[status(thm)],[f10920]) ).
thf(f10888,plain,
( ( ( sK0 @ ( sK6 @ sK0 @ sK1 ) )
= $false )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[status(thm)],[f10872]) ).
thf(f10872,plain,
( ( $false = $true )
| ( ( sK0 @ ( sK6 @ sK0 @ sK1 ) )
= $false )
| ~ spl2_46 ),
inference(superposition,[status(thm)],[f5098,f386]) ).
thf(f386,plain,
! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X0 @ sK1 )
= $true )
| ( $false
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f382]) ).
thf(f382,plain,
! [X0: 'type/realax/real'] :
( ( $false
= ( sK0 @ X0 ) )
| ( $false = $true )
| ( ( 'const/realax/real_le' @ X0 @ sK1 )
= $true ) ),
inference(superposition,[status(thm)],[f271,f103]) ).
thf(f103,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f101]) ).
thf(f271,plain,
! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ sK1 )
= $true )
| ( $false
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f264]) ).
thf(f264,plain,
! [X0: 'type/realax/real'] :
( ( $false
= ( sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f60,f78]) ).
thf(f10922,plain,
( spl2_45
| spl2_66
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4243,f241,f10920,f5094]) ).
thf(f5094,definition,
( spl2_45
<=> ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( sK3
= ( sK6 @ sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl2_45])],[avatar_definition]) ).
thf(f4243,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4240,f59]) ).
thf(f4240,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( sK3
= ( sK6 @ sK0 @ X0 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4164]) ).
thf(f4164,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( $false = $true ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f4159,f213]) ).
thf(f10560,plain,
( ~ spl2_5
| ~ spl2_12
| spl2_50
| ~ spl2_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f10559]) ).
thf(f10559,plain,
( $false
| ~ spl2_5
| ~ spl2_12
| spl2_50
| ~ spl2_62 ),
inference(trivial_inequality_removal,[status(thm)],[f10549]) ).
thf(f10549,plain,
( ( $false = $true )
| ( sK3 != sK3 )
| ~ spl2_5
| ~ spl2_12
| spl2_50
| ~ spl2_62 ),
inference(superposition,[status(thm)],[f93,f10525]) ).
thf(f10525,plain,
( ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ~ spl2_5
| ~ spl2_12
| spl2_50
| ~ spl2_62 ),
inference(subsumption_resolution,[status(thm)],[f10459,f6499]) ).
thf(f10459,plain,
( ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ~ spl2_5
| ~ spl2_12
| ~ spl2_62 ),
inference(trivial_inequality_removal,[status(thm)],[f10413]) ).
thf(f10413,plain,
( ( ( 'const/realax/real_le' @ sK3 @ sK3 )
= $false )
| ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ( $false = $true )
| ~ spl2_5
| ~ spl2_12
| ~ spl2_62 ),
inference(superposition,[status(thm)],[f9767,f4293]) ).
thf(f4293,plain,
( ( ( 'const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0 )
= $true )
| ~ spl2_5 ),
inference(equality_resolution,[status(thm)],[f4145]) ).
thf(f4145,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3 != X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $true ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f175,f243]) ).
thf(f9767,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false )
| ( ( 'const/sets/sup' @ sK0 )
= X0 ) )
| ~ spl2_12
| ~ spl2_62 ),
inference(trivial_inequality_removal,[status(thm)],[f9750]) ).
thf(f9750,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false ) )
| ~ spl2_12
| ~ spl2_62 ),
inference(superposition,[status(thm)],[f3831,f9428]) ).
thf(f9428,plain,
( ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false ) )
| ~ spl2_62 ),
inference(avatar_component_clause,[status(thm)],[f9427]) ).
thf(f9427,definition,
( spl2_62
<=> ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_62])],[avatar_definition]) ).
thf(f9481,plain,
( spl2_26
| ~ spl2_63 ),
inference(avatar_contradiction_clause,[status(thm)],[f9480]) ).
thf(f9480,plain,
( $false
| spl2_26
| ~ spl2_63 ),
inference(subsumption_resolution,[status(thm)],[f9453,f1505]) ).
thf(f9453,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl2_63 ),
inference(trivial_inequality_removal,[status(thm)],[f9451]) ).
thf(f9451,plain,
( ( $false = $true )
| ( ( sK0 @ sK3 )
= $false )
| ~ spl2_63 ),
inference(superposition,[status(thm)],[f386,f9431]) ).
thf(f9431,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ sK3 @ X1 )
= $false )
| ~ spl2_63 ),
inference(avatar_component_clause,[status(thm)],[f9430]) ).
thf(f9430,definition,
( spl2_63
<=> ! [X1: 'type/realax/real'] :
( ( 'const/realax/real_le' @ sK3 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_63])],[avatar_definition]) ).
thf(f9432,plain,
( spl2_62
| spl2_63
| ~ spl2_13 ),
inference(avatar_split_clause,[status(thm)],[f9331,f855,f9430,f9427]) ).
thf(f855,definition,
( spl2_13
<=> ! [X0: 'type/realax/real'] :
( sK3
= ( sK6 @ sK0 @ X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_13])],[avatar_definition]) ).
thf(f9331,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ sK3 @ X1 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false ) )
| ~ spl2_13 ),
inference(forward_demodulation,[status(thm)],[f9330,f856]) ).
thf(f856,plain,
( ! [X0: 'type/realax/real'] :
( sK3
= ( sK6 @ sK0 @ X0 ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[status(thm)],[f855]) ).
thf(f9330,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false ) )
| ~ spl2_13 ),
inference(subsumption_resolution,[status(thm)],[f9324,f59]) ).
thf(f9324,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ sK3 @ X0 )
= $false )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false ) )
| ~ spl2_13 ),
inference(superposition,[status(thm)],[f214,f856]) ).
thf(f214,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X3 ) @ X3 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f210]) ).
thf(f210,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X3 ) @ X3 )
= $false )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f209]) ).
thf(f8013,plain,
( ~ spl2_35
| spl2_6
| ~ spl2_50 ),
inference(avatar_split_clause,[status(thm)],[f6548,f6498,f245,f4497]) ).
thf(f6548,plain,
( ( sK3
!= ( 'const/sets/inf' @ sK0 ) )
| spl2_6
| ~ spl2_50 ),
inference(backward_demodulation,[status(thm)],[f246,f6500]) ).
thf(f246,plain,
( ( ( 'const/sets/sup' @ sK0 )
!= ( 'const/sets/inf' @ sK0 ) )
| spl2_6 ),
inference(avatar_component_clause,[status(thm)],[f245]) ).
thf(f7915,plain,
( spl2_59
| spl2_16
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4246,f241,f1001,f7913]) ).
thf(f4246,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4234,f59]) ).
thf(f4234,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4161]) ).
thf(f4161,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $false = $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X1 @ ( sK5 @ sK0 @ X1 ) )
= $false )
| ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f4159,f153]) ).
thf(f153,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true )
| ( ( 'const/realax/real_le' @ X3 @ ( sK5 @ X1 @ X3 ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f152]) ).
thf(f152,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X3 ) @ X1 )
=> ( 'const/realax/real_le' @ X3 @ ( sK5 @ X1 @ X3 ) ) )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f151]) ).
thf(f151,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) )
@ ( sK5 @ X1 @ X3 ) )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f146]) ).
thf(f146,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ Y0 ) ) ) )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f144]) ).
thf(f7802,plain,
( spl2_16
| ~ spl2_5
| ~ spl2_48 ),
inference(avatar_split_clause,[status(thm)],[f7768,f5205,f241,f1001]) ).
thf(f5205,definition,
( spl2_48
<=> ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ sK0 @ X1 ) @ sK0 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_48])],[avatar_definition]) ).
thf(f7768,plain,
( ! [X0: 'type/realax/real'] :
( sK3
= ( sK5 @ sK0 @ X0 ) )
| ~ spl2_5
| ~ spl2_48 ),
inference(trivial_inequality_removal,[status(thm)],[f7765]) ).
thf(f7765,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( $false = $true ) )
| ~ spl2_5
| ~ spl2_48 ),
inference(superposition,[status(thm)],[f4159,f5206]) ).
thf(f5206,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ sK0 @ X1 ) @ sK0 )
= $true )
| ~ spl2_48 ),
inference(avatar_component_clause,[status(thm)],[f5205]) ).
thf(f6505,plain,
( spl2_50
| spl2_51
| ~ spl2_5
| ~ spl2_12
| ~ spl2_45 ),
inference(avatar_split_clause,[status(thm)],[f6444,f5094,f852,f241,f6502,f6498]) ).
thf(f6444,plain,
( ( sK3
= ( sK6 @ sK0 @ sK3 ) )
| ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ~ spl2_5
| ~ spl2_12
| ~ spl2_45 ),
inference(trivial_inequality_removal,[status(thm)],[f6410]) ).
thf(f6410,plain,
( ( $false = $true )
| ( sK3
= ( 'const/sets/sup' @ sK0 ) )
| ( sK3
= ( sK6 @ sK0 @ sK3 ) )
| ~ spl2_5
| ~ spl2_12
| ~ spl2_45 ),
inference(superposition,[status(thm)],[f5161,f4293]) ).
thf(f5161,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( ( 'const/sets/sup' @ sK0 )
= X0 ) )
| ~ spl2_12
| ~ spl2_45 ),
inference(trivial_inequality_removal,[status(thm)],[f5140]) ).
thf(f5140,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/sets/sup' @ sK0 )
= X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( sK3
= ( sK6 @ sK0 @ X0 ) ) )
| ~ spl2_12
| ~ spl2_45 ),
inference(superposition,[status(thm)],[f5095,f3831]) ).
thf(f5095,plain,
( ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( sK3
= ( sK6 @ sK0 @ X0 ) ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[status(thm)],[f5094]) ).
thf(f5207,plain,
( spl2_48
| spl2_43
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4242,f241,f4979,f5205]) ).
thf(f4242,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $true ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4241,f59]) ).
thf(f4241,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4181]) ).
thf(f4181,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/inf' @ sK0 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $false = $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ sK0 @ X1 ) @ sK0 )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f154,f4159]) ).
thf(f154,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X3 ) @ X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/inf' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f152]) ).
thf(f5131,plain,
( ~ spl2_34
| ~ spl2_46 ),
inference(avatar_contradiction_clause,[status(thm)],[f5130]) ).
thf(f5130,plain,
( $false
| ~ spl2_34
| ~ spl2_46 ),
inference(trivial_inequality_removal,[status(thm)],[f5105]) ).
thf(f5105,plain,
( ( $false = $true )
| ~ spl2_34
| ~ spl2_46 ),
inference(superposition,[status(thm)],[f5098,f3619]) ).
thf(f3619,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK1 )
= $true )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[status(thm)],[f3613]) ).
thf(f3613,plain,
( ! [X0: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_34 ),
inference(superposition,[status(thm)],[f3610,f103]) ).
thf(f3610,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK6 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_34 ),
inference(avatar_component_clause,[status(thm)],[f3609]) ).
thf(f3609,definition,
( spl2_34
<=> ! [X0: 'type/realax/real'] :
( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK6 @ sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_34])],[avatar_definition]) ).
thf(f5099,plain,
( spl2_45
| spl2_46
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4249,f241,f5097,f5094]) ).
thf(f4249,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( sK3
= ( sK6 @ sK0 @ X0 ) ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4226,f59]) ).
thf(f4226,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4166]) ).
thf(f4166,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( $false = $true )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 ) ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f4159,f212]) ).
thf(f212,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X3 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f211]) ).
thf(f5024,plain,
( spl2_44
| spl2_13
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4245,f241,f855,f5022]) ).
thf(f4245,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f4237,f59]) ).
thf(f4237,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4165]) ).
thf(f4165,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $false = $true )
| ( ( 'const/realax/real_le' @ ( sK6 @ sK0 @ X1 ) @ X1 )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( sK3
= ( sK6 @ sK0 @ X0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f4159,f215]) ).
thf(f215,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ X3 ) )
| ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X3 ) @ X3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f210]) ).
thf(f4285,plain,
( ~ spl2_26
| spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f4276,f241,f233,f1504]) ).
thf(f4276,plain,
( ( ( sK0 @ sK3 )
!= $false )
| spl2_4
| ~ spl2_5 ),
inference(backward_demodulation,[status(thm)],[f234,f4267]) ).
thf(f4267,plain,
( ( sK3 = sK8 )
| spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4263]) ).
thf(f4263,plain,
( ( $false != $false )
| ( sK3 = sK8 )
| spl2_4
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f234,f4227]) ).
thf(f4227,plain,
( ! [X0: 'type/realax/real'] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK3 = X0 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f4200]) ).
thf(f4200,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3 = X0 )
| ( $false = $true )
| ( $false
= ( sK0 @ X0 ) ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f78,f4159]) ).
thf(f3801,plain,
( spl2_12
| ~ spl2_34 ),
inference(avatar_split_clause,[status(thm)],[f3636,f3609,f852]) ).
thf(f3636,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK0 ) )
= $true ) )
| ~ spl2_34 ),
inference(subsumption_resolution,[status(thm)],[f3634,f59]) ).
thf(f3634,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK0 ) )
= $true ) )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[status(thm)],[f3628]) ).
thf(f3628,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK0 ) )
= $true )
| ( $false = $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_34 ),
inference(superposition,[status(thm)],[f197,f3619]) ).
thf(f197,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f196]) ).
thf(f196,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
=> ( 'const/realax/real_le' @ ( sK6 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f195]) ).
thf(f195,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) )
= $true )
| ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) )
@ ( sK6 @ X1 @ X2 ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f194]) ).
thf(f194,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f193]) ).
thf(f193,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f192]) ).
thf(f192,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) )
@ X3 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f191]) ).
thf(f191,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f190]) ).
thf(f190,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f189]) ).
thf(f189,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) )
= $true )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f188]) ).
thf(f188,plain,
! [X2: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) )
= $true )
| ( ( ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) )
@ X2 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f186]) ).
thf(f186,plain,
! [X1: 'type/realax/real' > $o] :
( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y1 @ X1 )
=> ( 'const/realax/real_le' @ Y1 @ Y0 ) ) ) )
= $false )
| ( ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ Y0 @ X1 )
=> ( 'const/realax/real_le' @ Y0 @ ( 'const/sets/sup' @ X1 ) ) ) )
= $true )
| ( ( ~ ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f185]) ).
thf(f3611,plain,
( spl2_34
| spl2_12 ),
inference(avatar_split_clause,[status(thm)],[f621,f852,f3609]) ).
thf(f621,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK6 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK0 ) ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) ),
inference(subsumption_resolution,[status(thm)],[f612,f59]) ).
thf(f612,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK0 ) ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK6 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f604]) ).
thf(f604,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( $true
= ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK0 ) ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK6 @ sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f60,f198]) ).
thf(f198,plain,
! [X2: 'type/realax/real',X3: 'type/realax/real',X1: 'type/realax/real' > $o] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X2 ) @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
= $false )
| ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f196]) ).
thf(f1003,plain,
( spl2_16
| spl2_11
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f912,f241,f766,f1001]) ).
thf(f912,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) ) )
| ~ spl2_5 ),
inference(subsumption_resolution,[status(thm)],[f908,f59]) ).
thf(f908,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f897]) ).
thf(f897,plain,
( ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ sK0 )
= $false )
| ( sK3
= ( sK5 @ sK0 @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $false = $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sK0 ) @ X1 )
= $true ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f161,f891]) ).
thf(f891,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( sK3 = X0 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f890]) ).
thf(f890,plain,
( ! [X0: 'type/realax/real'] :
( ( sK3 = X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false )
| ( $false = $true ) )
| ~ spl2_5 ),
inference(forward_demodulation,[status(thm)],[f887,f81]) ).
thf(f887,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= $true )
| ( sK3 = X0 )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK0 )
= $false ) )
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f172,f243]) ).
thf(f302,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f301]) ).
thf(f301,plain,
( $false
| ~ spl2_1
| ~ spl2_4 ),
inference(trivial_inequality_removal,[status(thm)],[f300]) ).
thf(f300,plain,
( ( $false = $true )
| ~ spl2_1
| ~ spl2_4 ),
inference(forward_demodulation,[status(thm)],[f222,f235]) ).
thf(f235,plain,
( ( ( sK0 @ sK8 )
= $false )
| ~ spl2_4 ),
inference(avatar_component_clause,[status(thm)],[f233]) ).
thf(f222,plain,
( ( ( sK0 @ sK8 )
= $true )
| ~ spl2_1 ),
inference(avatar_component_clause,[status(thm)],[f220]) ).
thf(f220,definition,
( spl2_1
<=> ( ( sK0 @ sK8 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition]) ).
thf(f297,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[status(thm)],[f296]) ).
thf(f296,plain,
( $false
| ~ spl2_2 ),
inference(trivial_inequality_removal,[status(thm)],[f294]) ).
thf(f294,plain,
( ( $false = $true )
| ~ spl2_2 ),
inference(backward_demodulation,[status(thm)],[f226,f268]) ).
thf(f268,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/EMPTY' @ X0 @ X1 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f262]) ).
thf(f262,plain,
! [X0: $tType,X1: X0] :
( ( $false = $true )
| ( ( 'const/sets/EMPTY' @ X0 @ X1 )
= $false ) ),
inference(superposition,[status(thm)],[f78,f81]) ).
thf(f226,plain,
( ( ( 'const/sets/EMPTY' @ 'type/realax/real' @ sK8 )
= $true )
| ~ spl2_2 ),
inference(avatar_component_clause,[status(thm)],[f224]) ).
thf(f224,definition,
( spl2_2
<=> ( ( 'const/sets/EMPTY' @ 'type/realax/real' @ sK8 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition]) ).
thf(f256,plain,
( spl2_7
| ~ spl2_6 ),
inference(avatar_split_clause,[status(thm)],[f71,f245,f254]) ).
thf(f71,plain,
! [X1: 'type/realax/real'] :
( ( ( 'const/sets/sup' @ sK0 )
!= ( 'const/sets/inf' @ sK0 ) )
| ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
!= sK0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X1: 'type/realax/real'] :
( ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $false )
| ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
!= sK0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f69]) ).
thf(f69,plain,
! [X1: 'type/realax/real'] :
( ( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 )
= $false )
| ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f68]) ).
thf(f68,plain,
! [X1: 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 )
@ X1 )
= $false )
| ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 ) )
= $false )
| ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
!= ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 ) ) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f248,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[status(thm)],[f67,f245,f241]) ).
thf(f67,plain,
( ( sK0
= ( 'const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real' ) )
| ( ( 'const/sets/sup' @ sK0 )
= ( 'const/sets/inf' @ sK0 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
( ( ( 'const/sets/sup' @ sK0 )
= ( 'const/sets/inf' @ sK0 ) )
| ( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
( ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $true )
| ( ( ( 'const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f64]) ).
thf(f64,plain,
( ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $true )
| ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 )
@ sK3 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f62]) ).
thf(f62,plain,
( ( ( ?? @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real' )
= sK0 ) )
= $true )
| ( ( ( 'const/sets/inf' @ sK0 )
= ( 'const/sets/sup' @ sK0 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f227,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[status(thm)],[f217,f224,f220]) ).
thf(f217,plain,
( ( ( 'const/sets/EMPTY' @ 'type/realax/real' @ sK8 )
= $true )
| ( ( sK0 @ sK8 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f216]) ).
thf(f216,plain,
( ( sK0 @ sK8 )
!= ( 'const/sets/EMPTY' @ 'type/realax/real' @ sK8 ) ),
inference(negative_extensionality,[status(thm)],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA090^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.36 % Computer : n020.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Tue Feb 24 03:50:12 EST 2026
% 0.19/0.36 % CPUTime :
% 0.19/0.36 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : ANA090^1 : TPTP v9.2.1. Released v7.0.0.
% 0.31/0.46 % Domain : Analysis
% 0.31/0.46 % Problem : REAL_SUP_EQ_INF
% 0.31/0.46 % Version : Especial.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [Kal16]
% 0.31/0.46 % Names : REAL_SUP_EQ_INF_.p [Kal16]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.33 v9.1.0, 0.67 v9.0.0, 0.33 v8.1.0, 0.75 v7.5.0, 1.00 v7.1.0
% 0.31/0.46 % Syntax : Number of formulae : 25 ( 5 unt; 13 typ; 0 def)
% 0.31/0.46 % Number of atoms : 61 ( 19 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 8 ( 5 avg)
% 0.31/0.46 % Number of connectives : 145 ( 4 ~; 1 |; 7 &; 119 @)
% 0.31/0.46 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 11 ( 6 avg)
% 0.31/0.46 % Number of types : 2 ( 1 usr)
% 0.31/0.46 % Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 13 ( 12 usr; 0 con; 1-4 aty)
% 0.31/0.46 % Number of variables : 43 ( 0 ^; 34 !; 4 ?; 43 :)
% 0.31/0.46 % ( 5 !>; 0 ?*; 0 @-; 0 @+)
% 0.31/0.46 % SPC : TH1_THM_EQU_NAR
% 0.31/0.46
% 0.31/0.46 % Comments : Exported from core HOL Light.
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf('thf_type_type/realax/real',type,
% 0.31/0.46 'type/realax/real': $tType ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/sup',type,
% 0.31/0.46 'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/INSERT',type,
% 0.31/0.46 'const/sets/INSERT':
% 0.31/0.46 !>[A: $tType] : ( A > ( A > $o ) > A > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/inf',type,
% 0.31/0.46 'const/sets/inf': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/IN',type,
% 0.31/0.46 'const/sets/IN':
% 0.31/0.46 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/FINITE',type,
% 0.31/0.46 'const/sets/FINITE':
% 0.31/0.46 !>[A: $tType] : ( ( A > $o ) > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/EMPTY',type,
% 0.31/0.46 'const/sets/EMPTY':
% 0.31/0.46 !>[A: $tType] : ( A > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/realax/real_neg',type,
% 0.31/0.46 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/realax/real_min',type,
% 0.31/0.46 'const/realax/real_min': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/realax/real_max',type,
% 0.31/0.46 'const/realax/real_max': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/realax/real_le',type,
% 0.31/0.46 'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/realax/real_abs',type,
% 0.31/0.46 'const/realax/real_abs': 'type/realax/real' > 'type/realax/real' ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/class/COND',type,
% 0.31/0.46 'const/class/COND':
% 0.31/0.46 !>[A: $tType] : ( $o > A > A > A ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/INF_INSERT_FINITE_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real',A0: 'type/realax/real' > $o] :
% 0.31/0.46 ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A0 )
% 0.31/0.46 => ( ( 'const/sets/inf' @ ( 'const/sets/INSERT' @ 'type/realax/real' @ A @ A0 ) )
% 0.31/0.46 = ( 'const/class/COND' @ 'type/realax/real'
% 0.31/0.46 @ ( A0
% 0.31/0.46 = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 0.31/0.46 @ A
% 0.31/0.46 @ ( 'const/realax/real_min' @ A @ ( 'const/sets/inf' @ A0 ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/FINITE_EMPTY_',axiom,
% 0.31/0.46 ! [A: $tType] : ( 'const/sets/FINITE' @ A @ ( 'const/sets/EMPTY' @ A ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/SUP_INSERT_FINITE_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real',A0: 'type/realax/real' > $o] :
% 0.31/0.46 ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A0 )
% 0.31/0.46 => ( ( 'const/sets/sup' @ ( 'const/sets/INSERT' @ 'type/realax/real' @ A @ A0 ) )
% 0.31/0.46 = ( 'const/class/COND' @ 'type/realax/real'
% 0.31/0.46 @ ( A0
% 0.31/0.46 = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 0.31/0.46 @ A
% 0.31/0.46 @ ( 'const/realax/real_max' @ A @ ( 'const/sets/sup' @ A0 ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/NOT_IN_EMPTY_',axiom,
% 0.31/0.46 ! [A: $tType,A0: A] :
% 0.31/0.46 ~ ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/EMPTY' @ A ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/IN_INSERT_',axiom,
% 0.31/0.46 ! [A: $tType,A0: A,A1: A,A2: A > $o] :
% 0.31/0.46 ( ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/INSERT' @ A @ A1 @ A2 ) )
% 0.31/0.46 = ( ( A0 = A1 )
% 0.31/0.46 | ( 'const/sets/IN' @ A @ A0 @ A2 ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/IN_',axiom,
% 0.31/0.46 ! [A: $tType,P: A > $o,A0: A] :
% 0.31/0.46 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 0.31/0.46 = ( P @ A0 ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/EXTENSION_',axiom,
% 0.31/0.46 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 0.31/0.46 ( ( A0 = A1 )
% 0.31/0.46 = ( ! [A2: A] :
% 0.31/0.46 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.31/0.46 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/INF_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real' > $o] :
% 0.31/0.46 ( ( ( A
% 0.31/0.46 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 0.31/0.46 & ? [A0: 'type/realax/real'] :
% 0.31/0.46 ! [A1: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ A0 @ A1 ) ) )
% 0.31/0.46 => ( ! [A0: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ A0 ) )
% 0.31/0.46 & ! [A0: 'type/realax/real'] :
% 0.31/0.46 ( ! [A1: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ A0 @ A1 ) )
% 0.31/0.46 => ( 'const/realax/real_le' @ A0 @ ( 'const/sets/inf' @ A ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/real/REAL_ABS_BOUNDS_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real',A0: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ A ) @ A0 )
% 0.31/0.46 = ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ A0 ) @ A )
% 0.31/0.46 & ( 'const/realax/real_le' @ A @ A0 ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/SUP_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real' > $o] :
% 0.31/0.46 ( ( ( A
% 0.31/0.46 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 0.31/0.46 & ? [A0: 'type/realax/real'] :
% 0.31/0.46 ! [A1: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ A1 @ A0 ) ) )
% 0.31/0.46 => ( ! [A0: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ A0 @ ( 'const/sets/sup' @ A ) ) )
% 0.31/0.46 & ! [A0: 'type/realax/real'] :
% 0.31/0.46 ( ! [A1: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ A1 @ A0 ) )
% 0.31/0.46 => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ A0 ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/realax/REAL_LE_ANTISYM_',axiom,
% 0.31/0.46 ! [A: 'type/realax/real',A0: 'type/realax/real'] :
% 0.31/0.46 ( ( ( 'const/realax/real_le' @ A @ A0 )
% 0.31/0.46 & ( 'const/realax/real_le' @ A0 @ A ) )
% 0.31/0.46 = ( A = A0 ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/REAL_SUP_EQ_INF_',conjecture,
% 0.31/0.46 ! [A: 'type/realax/real' > $o] :
% 0.31/0.46 ( ( ( A
% 0.31/0.46 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 0.31/0.46 & ? [B: 'type/realax/real'] :
% 0.31/0.46 ! [A0: 'type/realax/real'] :
% 0.31/0.46 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 0.31/0.46 => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ A0 ) @ B ) ) )
% 0.31/0.46 => ( ( ( 'const/sets/sup' @ A )
% 0.31/0.46 = ( 'const/sets/inf' @ A ) )
% 0.31/0.46 = ( ? [A0: 'type/realax/real'] :
% 0.31/0.46 ( A
% 0.31/0.46 = ( 'const/sets/INSERT' @ 'type/realax/real' @ A0 @ ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.79/1.43 ---- Embedded in THF ---
% 1.79/1.43 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.79/1.43 %%% Generated on Tue Feb 24 03:50:13 EST 2026
% 1.79/1.43 %%% using '$$dhol' embedding, version 1.3.0.
% 1.79/1.43 %%% Logic specification used:
% 1.79/1.43 %%% thf(spec, logic, $$dhol).
% 1.79/1.43
% 1.79/1.43 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2DTF19410.p
% See solution above
% 1.79/1.43 ------------------------
% 1.79/1.44 ---- Cleaned THF ---
% 1.79/1.44 thf('thf_type_type/realax/real',type,
% 1.79/1.44 'type/realax/real': $tType ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/sup',type,
% 1.79/1.44 'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/INSERT',type,
% 1.79/1.44 'const/sets/INSERT':
% 1.79/1.44 !>[A: $tType] : ( A > ( A > $o ) > A > $o ) ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/inf',type,
% 1.79/1.44 'const/sets/inf': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/IN',type,
% 1.79/1.44 'const/sets/IN':
% 1.79/1.44 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/FINITE',type,
% 1.79/1.44 'const/sets/FINITE':
% 1.79/1.44 !>[A: $tType] : ( ( A > $o ) > $o ) ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/sets/EMPTY',type,
% 1.79/1.44 'const/sets/EMPTY':
% 1.79/1.44 !>[A: $tType] : ( A > $o ) ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/realax/real_neg',type,
% 1.79/1.44 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/realax/real_min',type,
% 1.79/1.44 'const/realax/real_min': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/realax/real_max',type,
% 1.79/1.44 'const/realax/real_max': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/realax/real_le',type,
% 1.79/1.44 'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/realax/real_abs',type,
% 1.79/1.44 'const/realax/real_abs': 'type/realax/real' > 'type/realax/real' ).
% 1.79/1.44
% 1.79/1.44 thf('thf_const_const/class/COND',type,
% 1.79/1.44 'const/class/COND':
% 1.79/1.44 !>[A: $tType] : ( $o > A > A > A ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/INF_INSERT_FINITE_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real',A0: 'type/realax/real' > $o] :
% 1.79/1.44 ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A0 )
% 1.79/1.44 => ( ( 'const/sets/inf' @ ( 'const/sets/INSERT' @ 'type/realax/real' @ A @ A0 ) )
% 1.79/1.44 = ( 'const/class/COND' @ 'type/realax/real'
% 1.79/1.44 @ ( A0
% 1.79/1.44 = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 1.79/1.44 @ A
% 1.79/1.44 @ ( 'const/realax/real_min' @ A @ ( 'const/sets/inf' @ A0 ) ) ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/FINITE_EMPTY_',axiom,
% 1.79/1.44 ! [A: $tType] : ( 'const/sets/FINITE' @ A @ ( 'const/sets/EMPTY' @ A ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/SUP_INSERT_FINITE_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real',A0: 'type/realax/real' > $o] :
% 1.79/1.44 ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A0 )
% 1.79/1.44 => ( ( 'const/sets/sup' @ ( 'const/sets/INSERT' @ 'type/realax/real' @ A @ A0 ) )
% 1.79/1.44 = ( 'const/class/COND' @ 'type/realax/real'
% 1.79/1.44 @ ( A0
% 1.79/1.44 = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 1.79/1.44 @ A
% 1.79/1.44 @ ( 'const/realax/real_max' @ A @ ( 'const/sets/sup' @ A0 ) ) ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/NOT_IN_EMPTY_',axiom,
% 1.79/1.44 ! [A: $tType,A0: A] :
% 1.79/1.44 ~ ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/EMPTY' @ A ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/IN_INSERT_',axiom,
% 1.79/1.44 ! [A: $tType,A0: A,A1: A,A2: A > $o] :
% 1.79/1.44 ( ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/INSERT' @ A @ A1 @ A2 ) )
% 1.79/1.44 = ( ( A0 = A1 )
% 1.79/1.44 | ( 'const/sets/IN' @ A @ A0 @ A2 ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/IN_',axiom,
% 1.79/1.44 ! [A: $tType,P: A > $o,A0: A] :
% 1.79/1.44 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 1.79/1.44 = ( P @ A0 ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/EXTENSION_',axiom,
% 1.79/1.44 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 1.79/1.44 ( ( A0 = A1 )
% 1.79/1.44 = ( ! [A2: A] :
% 1.79/1.44 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.79/1.44 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/INF_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real' > $o] :
% 1.79/1.44 ( ( ( A
% 1.79/1.44 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 1.79/1.44 & ? [A0: 'type/realax/real'] :
% 1.79/1.44 ! [A1: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ A0 @ A1 ) ) )
% 1.79/1.44 => ( ! [A0: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ A0 ) )
% 1.79/1.44 & ! [A0: 'type/realax/real'] :
% 1.79/1.44 ( ! [A1: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ A0 @ A1 ) )
% 1.79/1.44 => ( 'const/realax/real_le' @ A0 @ ( 'const/sets/inf' @ A ) ) ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/real/REAL_ABS_BOUNDS_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real',A0: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ A ) @ A0 )
% 1.79/1.44 = ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ A0 ) @ A )
% 1.79/1.44 & ( 'const/realax/real_le' @ A @ A0 ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/SUP_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real' > $o] :
% 1.79/1.44 ( ( ( A
% 1.79/1.44 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 1.79/1.44 & ? [A0: 'type/realax/real'] :
% 1.79/1.44 ! [A1: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ A1 @ A0 ) ) )
% 1.79/1.44 => ( ! [A0: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ A0 @ ( 'const/sets/sup' @ A ) ) )
% 1.79/1.44 & ! [A0: 'type/realax/real'] :
% 1.79/1.44 ( ! [A1: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A1 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ A1 @ A0 ) )
% 1.79/1.44 => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ A ) @ A0 ) ) ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/realax/REAL_LE_ANTISYM_',axiom,
% 1.79/1.44 ! [A: 'type/realax/real',A0: 'type/realax/real'] :
% 1.79/1.44 ( ( ( 'const/realax/real_le' @ A @ A0 )
% 1.79/1.44 & ( 'const/realax/real_le' @ A0 @ A ) )
% 1.79/1.44 = ( A = A0 ) ) ).
% 1.79/1.44
% 1.79/1.44 thf('thm/sets/REAL_SUP_EQ_INF_',conjecture,
% 1.79/1.44 ! [A: 'type/realax/real' > $o] :
% 1.79/1.44 ( ( ( A
% 1.79/1.44 != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
% 1.79/1.44 & ? [B: 'type/realax/real'] :
% 1.79/1.44 ! [A0: 'type/realax/real'] :
% 1.79/1.44 ( ( 'const/sets/IN' @ 'type/realax/real' @ A0 @ A )
% 1.79/1.44 => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ A0 ) @ B ) ) )
% 1.79/1.44 => ( ( ( 'const/sets/sup' @ A )
% 1.79/1.44 = ( 'const/sets/inf' @ A ) )
% 1.79/1.44 = ( ? [A0: 'type/realax/real'] :
% 1.79/1.44 ( A
% 1.79/1.44 = ( 'const/sets/INSERT' @ 'type/realax/real' @ A0 @ ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) ) ) ) ) ).
% 1.79/1.44 ------------------------
% 1.79/1.46 % (19512)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_19410 for (2999ds/275Mi)
% 1.79/1.46 % (19511)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_19410 for (2999ds/2Mi)
% 1.79/1.46 % (19507)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/183Mi)
% 1.79/1.46 % (19510)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/2Mi)
% 1.79/1.46 % (19509)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_19410 for (2999ds/27Mi)
% 1.79/1.46 % (19508)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_19410 for (2999ds/4Mi)
% 1.79/1.46 % (19513)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/18Mi)
% 1.79/1.46 % (19510)Instruction limit reached!
% 1.79/1.46 % (19510)------------------------------
% 1.79/1.46 % (19510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.46 % (19510)Termination reason: Unknown
% 1.79/1.46 % (19511)Instruction limit reached!
% 1.79/1.46 % (19511)------------------------------
% 1.79/1.46 % (19511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.46 % (19511)Termination reason: Unknown
% 1.79/1.46 % (19511)Termination phase: shuffling
% 1.79/1.46
% 1.79/1.46 % (19511)Memory used [KB]: 1023
% 1.79/1.46 % (19511)Time elapsed: 0.003 s
% 1.79/1.46 % (19511)Instructions burned: 3 (million)
% 1.79/1.46 % (19511)------------------------------
% 1.79/1.46 % (19511)------------------------------
% 1.79/1.46 % (19510)Termination phase: Property scanning
% 1.79/1.46
% 1.79/1.46 % (19510)Memory used [KB]: 1023
% 1.79/1.46 % (19510)Time elapsed: 0.003 s
% 1.79/1.46 % (19510)Instructions burned: 2 (million)
% 1.79/1.46 % (19510)------------------------------
% 1.79/1.46 % (19510)------------------------------
% 1.79/1.46 % (19508)Instruction limit reached!
% 1.79/1.46 % (19508)------------------------------
% 1.79/1.46 % (19508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.46 % (19508)Termination reason: Unknown
% 1.79/1.46 % (19508)Termination phase: Preprocessing 1
% 1.79/1.46
% 1.79/1.46 % (19508)Memory used [KB]: 1023
% 1.79/1.46 % (19508)Time elapsed: 0.004 s
% 1.79/1.46 % (19508)Instructions burned: 4 (million)
% 1.79/1.46 % (19508)------------------------------
% 1.79/1.46 % (19508)------------------------------
% 1.79/1.47 % (19513)Instruction limit reached!
% 1.79/1.47 % (19513)------------------------------
% 1.79/1.47 % (19513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.47 % (19513)Termination reason: Unknown
% 1.79/1.47 % (19513)Termination phase: Saturation
% 1.79/1.47
% 1.79/1.47 % (19513)Memory used [KB]: 5628
% 1.79/1.47 % (19513)Time elapsed: 0.011 s
% 1.79/1.47 % (19513)Instructions burned: 18 (million)
% 1.79/1.47 % (19513)------------------------------
% 1.79/1.47 % (19513)------------------------------
% 1.79/1.47 % (19509)Instruction limit reached!
% 1.79/1.47 % (19509)------------------------------
% 1.79/1.47 % (19509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.47 % (19509)Termination reason: Unknown
% 1.79/1.47 % (19509)Termination phase: Saturation
% 1.79/1.47
% 1.79/1.47 % (19509)Memory used [KB]: 5756
% 1.79/1.47 % (19509)Time elapsed: 0.017 s
% 1.79/1.47 % (19509)Instructions burned: 27 (million)
% 1.79/1.47 % (19509)------------------------------
% 1.79/1.47 % (19509)------------------------------
% 1.79/1.48 % (19514)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/3Mi)
% 1.79/1.48 % (19515)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_19410 for (2999ds/37Mi)
% 1.79/1.48 % (19516)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_19410 for (2999ds/15Mi)
% 1.79/1.48 % (19514)Instruction limit reached!
% 1.79/1.48 % (19514)------------------------------
% 1.79/1.48 % (19514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.48 % (19514)Termination reason: Unknown
% 1.79/1.48 % (19514)Termination phase: Preprocessing 3
% 1.79/1.48
% 1.79/1.48 % (19514)Memory used [KB]: 1023
% 1.79/1.48 % (19514)Time elapsed: 0.003 s
% 1.79/1.48 % (19514)Instructions burned: 3 (million)
% 1.79/1.48 % (19514)------------------------------
% 1.79/1.48 % (19514)------------------------------
% 1.79/1.48 % (19512)Refutation not found, incomplete strategy
% 1.79/1.48 % (19512)------------------------------
% 1.79/1.48 % (19512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.48 % (19512)Termination reason: Refutation not found, incomplete strategy
% 1.79/1.48
% 1.79/1.48
% 1.79/1.48 % (19512)Memory used [KB]: 5756
% 1.79/1.48 % (19512)Time elapsed: 0.021 s
% 1.79/1.48 % (19512)Instructions burned: 36 (million)
% 1.79/1.48 % (19512)------------------------------
% 1.79/1.48 % (19512)------------------------------
% 1.79/1.48 % (19517)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_19410 for (2999ds/3Mi)
% 1.79/1.49 % (19516)Instruction limit reached!
% 1.79/1.49 % (19516)------------------------------
% 1.79/1.49 % (19516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.49 % (19516)Termination reason: Unknown
% 1.79/1.49 % (19516)Termination phase: Saturation
% 1.79/1.49
% 1.79/1.49 % (19516)Memory used [KB]: 5756
% 1.79/1.49 % (19516)Time elapsed: 0.010 s
% 1.79/1.49 % (19516)Instructions burned: 16 (million)
% 1.79/1.49 % (19516)------------------------------
% 1.79/1.49 % (19516)------------------------------
% 1.79/1.49 % (19517)Instruction limit reached!
% 1.79/1.49 % (19517)------------------------------
% 1.79/1.49 % (19517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.49 % (19517)Termination reason: Unknown
% 1.79/1.49 % (19517)Termination phase: Preprocessing 3
% 1.79/1.49
% 1.79/1.49 % (19517)Memory used [KB]: 1023
% 1.79/1.49 % (19517)Time elapsed: 0.003 s
% 1.79/1.49 % (19517)Instructions burned: 3 (million)
% 1.79/1.49 % (19517)------------------------------
% 1.79/1.49 % (19517)------------------------------
% 1.79/1.49 % (19518)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_19410 for (2999ds/1041Mi)
% 1.79/1.49 % (19519)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/7Mi)
% 1.79/1.49 % (19515)Instruction limit reached!
% 1.79/1.49 % (19515)------------------------------
% 1.79/1.49 % (19515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.79/1.49 % (19515)Termination reason: Unknown
% 1.79/1.49 % (19515)Termination phase: Saturation
% 1.79/1.49
% 1.79/1.49 % (19515)Memory used [KB]: 5628
% 1.79/1.49 % (19515)Time elapsed: 0.020 s
% 1.79/1.49 % (19515)Instructions burned: 38 (million)
% 1.79/1.49 % (19515)------------------------------
% 1.79/1.49 % (19515)------------------------------
% 1.79/1.49 % (19520)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/16Mi)
% 1.88/1.50 % (19519)Instruction limit reached!
% 1.88/1.50 % (19519)------------------------------
% 1.88/1.50 % (19519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.50 % (19519)Termination reason: Unknown
% 1.88/1.50 % (19519)Termination phase: Saturation
% 1.88/1.50
% 1.88/1.50 % (19519)Memory used [KB]: 1023
% 1.88/1.50 % (19519)Time elapsed: 0.005 s
% 1.88/1.50 % (19519)Instructions burned: 7 (million)
% 1.88/1.50 % (19519)------------------------------
% 1.88/1.50 % (19519)------------------------------
% 1.88/1.50 % (19521)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_19410 for (2999ds/3Mi)
% 1.88/1.50 % (19522)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_19410 for (2999ds/3Mi)
% 1.88/1.50 % (19521)Instruction limit reached!
% 1.88/1.50 % (19521)------------------------------
% 1.88/1.50 % (19521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.50 % (19521)Termination reason: Unknown
% 1.88/1.50 % (19521)Termination phase: Preprocessing 1
% 1.88/1.50
% 1.88/1.50 % (19521)Memory used [KB]: 1023
% 1.88/1.50 % (19521)Time elapsed: 0.003 s
% 1.88/1.50 % (19521)Instructions burned: 3 (million)
% 1.88/1.50 % (19521)------------------------------
% 1.88/1.50 % (19521)------------------------------
% 1.88/1.50 % (19522)Instruction limit reached!
% 1.88/1.50 % (19522)------------------------------
% 1.88/1.50 % (19522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.50 % (19522)Termination reason: Unknown
% 1.88/1.50 % (19522)Termination phase: Preprocessing 2
% 1.88/1.50
% 1.88/1.50 % (19522)Memory used [KB]: 1023
% 1.88/1.50 % (19522)Time elapsed: 0.003 s
% 1.88/1.50 % (19520)Instruction limit reached!
% 1.88/1.50 % (19520)------------------------------
% 1.88/1.50 % (19520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.50 % (19520)Termination reason: Unknown
% 1.88/1.50 % (19520)Termination phase: Saturation
% 1.88/1.50
% 1.88/1.50 % (19520)Memory used [KB]: 5628
% 1.88/1.50 % (19520)Time elapsed: 0.010 s
% 1.88/1.50 % (19520)Instructions burned: 17 (million)
% 1.88/1.50 % (19520)------------------------------
% 1.88/1.50 % (19520)------------------------------
% 1.88/1.50 % (19522)Instructions burned: 3 (million)
% 1.88/1.50 % (19522)------------------------------
% 1.88/1.50 % (19522)------------------------------
% 1.88/1.51 % (19523)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/7Mi)
% 1.88/1.51 % (19524)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/3Mi)
% 1.88/1.51 % (19524)Instruction limit reached!
% 1.88/1.51 % (19524)------------------------------
% 1.88/1.51 % (19524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.51 % (19524)Termination reason: Unknown
% 1.88/1.51 % (19524)Termination phase: Property scanning
% 1.88/1.51
% 1.88/1.51 % (19524)Memory used [KB]: 1023
% 1.88/1.51 % (19524)Time elapsed: 0.003 s
% 1.88/1.51 % (19524)Instructions burned: 4 (million)
% 1.88/1.51 % (19524)------------------------------
% 1.88/1.51 % (19524)------------------------------
% 1.88/1.52 % (19523)Instruction limit reached!
% 1.88/1.52 % (19523)------------------------------
% 1.88/1.52 % (19523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.52 % (19523)Termination reason: Unknown
% 1.88/1.52 % (19523)Termination phase: Saturation
% 1.88/1.52
% 1.88/1.52 % (19523)Memory used [KB]: 5500
% 1.88/1.52 % (19523)Time elapsed: 0.006 s
% 1.88/1.52 % (19523)Instructions burned: 8 (million)
% 1.88/1.52 % (19523)------------------------------
% 1.88/1.52 % (19523)------------------------------
% 1.88/1.52 % (19525)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/4Mi)
% 1.88/1.52 % (19526)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/18Mi)
% 1.88/1.52 % (19527)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/710Mi)
% 1.88/1.52 % (19525)Instruction limit reached!
% 1.88/1.52 % (19525)------------------------------
% 1.88/1.52 % (19525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.52 % (19525)Termination reason: Unknown
% 1.88/1.52 % (19525)Termination phase: Saturation
% 1.88/1.52
% 1.88/1.52 % (19525)Memory used [KB]: 5500
% 1.88/1.52 % (19525)Time elapsed: 0.004 s
% 1.88/1.52 % (19525)Instructions burned: 5 (million)
% 1.88/1.52 % (19525)------------------------------
% 1.88/1.52 % (19525)------------------------------
% 1.88/1.53 % (19526)Instruction limit reached!
% 1.88/1.53 % (19526)------------------------------
% 1.88/1.53 % (19526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.53 % (19526)Termination reason: Unknown
% 1.88/1.53 % (19526)Termination phase: Saturation
% 1.88/1.53
% 1.88/1.53 % (19526)Memory used [KB]: 5628
% 1.88/1.53 % (19526)Time elapsed: 0.011 s
% 1.88/1.53 % (19526)Instructions burned: 18 (million)
% 1.88/1.53 % (19526)------------------------------
% 1.88/1.53 % (19526)------------------------------
% 1.88/1.53 % (19528)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/6Mi)
% 1.88/1.53 % (19529)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_19410 for (2999ds/902Mi)
% 1.88/1.53 % (19528)Instruction limit reached!
% 1.88/1.53 % (19528)------------------------------
% 1.88/1.53 % (19528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.53 % (19528)Termination reason: Unknown
% 1.88/1.53 % (19528)Termination phase: Saturation
% 1.88/1.53
% 1.88/1.53 % (19528)Memory used [KB]: 5500
% 1.88/1.53 % (19528)Time elapsed: 0.005 s
% 1.88/1.53 % (19528)Instructions burned: 7 (million)
% 1.88/1.53 % (19528)------------------------------
% 1.88/1.53 % (19528)------------------------------
% 1.88/1.54 % (19530)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_19410 for (2999ds/21Mi)
% 1.88/1.54 % (19531)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/5Mi)
% 1.88/1.55 % (19531)Instruction limit reached!
% 1.88/1.55 % (19531)------------------------------
% 1.88/1.55 % (19531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.55 % (19531)Termination reason: Unknown
% 1.88/1.55 % (19531)Termination phase: Property scanning
% 1.88/1.55
% 1.88/1.55 % (19531)Memory used [KB]: 1023
% 1.88/1.55 % (19531)Time elapsed: 0.004 s
% 1.88/1.55 % (19531)Instructions burned: 6 (million)
% 1.88/1.55 % (19531)------------------------------
% 1.88/1.55 % (19531)------------------------------
% 1.88/1.55 % (19530)Instruction limit reached!
% 1.88/1.55 % (19530)------------------------------
% 1.88/1.55 % (19530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.55 % (19530)Termination reason: Unknown
% 1.88/1.55 % (19530)Termination phase: Saturation
% 1.88/1.55
% 1.88/1.55 % (19530)Memory used [KB]: 5756
% 1.88/1.55 % (19530)Time elapsed: 0.014 s
% 1.88/1.55 % (19530)Instructions burned: 22 (million)
% 1.88/1.55 % (19530)------------------------------
% 1.88/1.55 % (19530)------------------------------
% 1.88/1.55 % (19532)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_19410 for (2999ds/6Mi)
% 1.88/1.55 % (19507)Instruction limit reached!
% 1.88/1.55 % (19507)------------------------------
% 1.88/1.55 % (19507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.55 % (19507)Termination reason: Unknown
% 1.88/1.55 % (19507)Termination phase: Saturation
% 1.88/1.55
% 1.88/1.55 % (19507)Memory used [KB]: 6908
% 1.88/1.55 % (19507)Time elapsed: 0.094 s
% 1.88/1.55 % (19507)Instructions burned: 183 (million)
% 1.88/1.55 % (19507)------------------------------
% 1.88/1.55 % (19507)------------------------------
% 1.88/1.55 % (19532)Instruction limit reached!
% 1.88/1.55 % (19532)------------------------------
% 1.88/1.55 % (19532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.55 % (19532)Termination reason: Unknown
% 1.88/1.55 % (19532)Termination phase: Property scanning
% 1.88/1.55
% 1.88/1.55 % (19532)Memory used [KB]: 1023
% 1.88/1.55 % (19532)Time elapsed: 0.004 s
% 1.88/1.55 % (19532)Instructions burned: 6 (million)
% 1.88/1.55 % (19532)------------------------------
% 1.88/1.55 % (19532)------------------------------
% 1.88/1.56 % (19533)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_19410 for (2999ds/377Mi)
% 1.88/1.57 % (19534)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_19410 for (2999ds/779Mi)
% 1.88/1.57 % (19535)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_19410 for (2999ds/19Mi)
% 1.88/1.57 % (19536)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_19410 for (2998ds/879Mi)
% 1.88/1.58 % (19535)Instruction limit reached!
% 1.88/1.58 % (19535)------------------------------
% 1.88/1.58 % (19535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.58 % (19535)Termination reason: Unknown
% 1.88/1.58 % (19535)Termination phase: Saturation
% 1.88/1.58
% 1.88/1.58 % (19535)Memory used [KB]: 5628
% 1.88/1.58 % (19535)Time elapsed: 0.011 s
% 1.88/1.58 % (19535)Instructions burned: 19 (million)
% 1.88/1.58 % (19535)------------------------------
% 1.88/1.58 % (19535)------------------------------
% 1.88/1.59 % (19537)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_19410 for (2998ds/17Mi)
% 1.88/1.60 % (19537)Instruction limit reached!
% 1.88/1.60 % (19537)------------------------------
% 1.88/1.60 % (19537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.60 % (19537)Termination reason: Unknown
% 1.88/1.60 % (19537)Termination phase: Saturation
% 1.88/1.60
% 1.88/1.60 % (19537)Memory used [KB]: 5756
% 1.88/1.60 % (19537)Time elapsed: 0.011 s
% 1.88/1.60 % (19537)Instructions burned: 17 (million)
% 1.88/1.60 % (19537)------------------------------
% 1.88/1.60 % (19537)------------------------------
% 1.88/1.62 % (19538)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_19410 for (2998ds/3Mi)
% 1.88/1.62 % (19538)Instruction limit reached!
% 1.88/1.62 % (19538)------------------------------
% 1.88/1.62 % (19538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.62 % (19538)Termination reason: Unknown
% 1.88/1.62 % (19538)Termination phase: Unused predicate definition removal
% 1.88/1.62
% 1.88/1.62 % (19538)Memory used [KB]: 1023
% 1.88/1.62 % (19538)Time elapsed: 0.003 s
% 1.88/1.62 % (19538)Instructions burned: 3 (million)
% 1.88/1.62 % (19538)------------------------------
% 1.88/1.62 % (19538)------------------------------
% 1.88/1.64 % (19539)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_19410 for (2998ds/30Mi)
% 1.88/1.65 % (19539)Instruction limit reached!
% 1.88/1.65 % (19539)------------------------------
% 1.88/1.65 % (19539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.65 % (19539)Termination reason: Unknown
% 1.88/1.65 % (19539)Termination phase: Saturation
% 1.88/1.65
% 1.88/1.65 % (19539)Memory used [KB]: 5756
% 1.88/1.65 % (19539)Time elapsed: 0.018 s
% 1.88/1.65 % (19539)Instructions burned: 31 (million)
% 1.88/1.65 % (19539)------------------------------
% 1.88/1.65 % (19539)------------------------------
% 1.88/1.67 % (19540)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_19410 for (2998ds/127Mi)
% 1.88/1.74 % (19540)Instruction limit reached!
% 1.88/1.74 % (19540)------------------------------
% 1.88/1.74 % (19540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.74 % (19540)Termination reason: Unknown
% 1.88/1.74 % (19540)Termination phase: Saturation
% 1.88/1.74
% 1.88/1.74 % (19540)Memory used [KB]: 6140
% 1.88/1.74 % (19540)Time elapsed: 0.069 s
% 1.88/1.74 % (19540)Instructions burned: 128 (million)
% 1.88/1.74 % (19540)------------------------------
% 1.88/1.74 % (19540)------------------------------
% 1.88/1.75 % (19541)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_19410 for (2997ds/100Mi)
% 1.88/1.76 % (19533)Instruction limit reached!
% 1.88/1.76 % (19533)------------------------------
% 1.88/1.76 % (19533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.76 % (19533)Termination reason: Unknown
% 1.88/1.76 % (19533)Termination phase: Saturation
% 1.88/1.76
% 1.88/1.76 % (19533)Memory used [KB]: 6396
% 1.88/1.76 % (19533)Time elapsed: 0.197 s
% 1.88/1.76 % (19533)Instructions burned: 378 (million)
% 1.88/1.76 % (19533)------------------------------
% 1.88/1.76 % (19533)------------------------------
% 1.88/1.78 % (19542)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_19410 for (2996ds/3Mi)
% 1.88/1.78 % (19542)Instruction limit reached!
% 1.88/1.78 % (19542)------------------------------
% 1.88/1.78 % (19542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.78 % (19542)Termination reason: Unknown
% 1.88/1.78 % (19542)Termination phase: shuffling
% 1.88/1.78
% 1.88/1.78 % (19542)Memory used [KB]: 1023
% 1.88/1.78 % (19542)Time elapsed: 0.003 s
% 1.88/1.78 % (19542)Instructions burned: 3 (million)
% 1.88/1.78 % (19542)------------------------------
% 1.88/1.78 % (19542)------------------------------
% 1.88/1.79 % (19543)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_19410 for (2996ds/20Mi)
% 1.88/1.80 % (19541)Instruction limit reached!
% 1.88/1.80 % (19541)------------------------------
% 1.88/1.80 % (19541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.80 % (19541)Termination reason: Unknown
% 1.88/1.80 % (19541)Termination phase: Saturation
% 1.88/1.80
% 1.88/1.80 % (19541)Memory used [KB]: 5884
% 1.88/1.80 % (19541)Time elapsed: 0.053 s
% 1.88/1.80 % (19541)Instructions burned: 100 (million)
% 1.88/1.80 % (19541)------------------------------
% 1.88/1.80 % (19541)------------------------------
% 1.88/1.80 % (19543)Instruction limit reached!
% 1.88/1.80 % (19543)------------------------------
% 1.88/1.80 % (19543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.80 % (19543)Termination reason: Unknown
% 1.88/1.80 % (19543)Termination phase: Saturation
% 1.88/1.80
% 1.88/1.80 % (19543)Memory used [KB]: 5628
% 1.88/1.80 % (19543)Time elapsed: 0.013 s
% 1.88/1.80 % (19543)Instructions burned: 21 (million)
% 1.88/1.80 % (19543)------------------------------
% 1.88/1.80 % (19543)------------------------------
% 1.88/1.82 % (19544)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_19410 for (2996ds/86Mi)
% 1.88/1.82 % (19545)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_19410 for (2996ds/107Mi)
% 1.88/1.87 % (19544)Instruction limit reached!
% 1.88/1.87 % (19544)------------------------------
% 1.88/1.87 % (19544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.87 % (19544)Termination reason: Unknown
% 1.88/1.87 % (19544)Termination phase: Saturation
% 1.88/1.87
% 1.88/1.87 % (19544)Memory used [KB]: 6140
% 1.88/1.87 % (19544)Time elapsed: 0.047 s
% 1.88/1.87 % (19544)Instructions burned: 86 (million)
% 1.88/1.87 % (19544)------------------------------
% 1.88/1.87 % (19544)------------------------------
% 1.88/1.88 % (19545)Instruction limit reached!
% 1.88/1.88 % (19545)------------------------------
% 1.88/1.88 % (19545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.88 % (19545)Termination reason: Unknown
% 1.88/1.88 % (19545)Termination phase: Saturation
% 1.88/1.88
% 1.88/1.88 % (19545)Memory used [KB]: 6012
% 1.88/1.88 % (19545)Time elapsed: 0.058 s
% 1.88/1.88 % (19545)Instructions burned: 107 (million)
% 1.88/1.88 % (19545)------------------------------
% 1.88/1.88 % (19545)------------------------------
% 1.88/1.88 % (19527)Instruction limit reached!
% 1.88/1.88 % (19527)------------------------------
% 1.88/1.88 % (19527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.88 % (19527)Termination reason: Unknown
% 1.88/1.88 % (19527)Termination phase: Saturation
% 1.88/1.88
% 1.88/1.88 % (19527)Memory used [KB]: 6908
% 1.88/1.88 % (19527)Time elapsed: 0.362 s
% 1.88/1.88 % (19527)Instructions burned: 711 (million)
% 1.88/1.88 % (19527)------------------------------
% 1.88/1.88 % (19527)------------------------------
% 1.88/1.88 % (19546)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_19410 for (2995ds/39Mi)
% 1.88/1.89 % (19547)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_19410 for (2995ds/448Mi)
% 1.88/1.90 % (19548)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_19410 for (2995ds/46Mi)
% 1.88/1.90 % (19546)Instruction limit reached!
% 1.88/1.90 % (19546)------------------------------
% 1.88/1.90 % (19546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.90 % (19546)Termination reason: Unknown
% 1.88/1.90 % (19546)Termination phase: Saturation
% 1.88/1.90
% 1.88/1.90 % (19546)Memory used [KB]: 5884
% 1.88/1.90 % (19546)Time elapsed: 0.022 s
% 1.88/1.90 % (19546)Instructions burned: 39 (million)
% 1.88/1.90 % (19546)------------------------------
% 1.88/1.90 % (19546)------------------------------
% 1.88/1.92 % (19549)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_19410 for (2995ds/98Mi)
% 1.88/1.92 % (19548)Instruction limit reached!
% 1.88/1.92 % (19548)------------------------------
% 1.88/1.92 % (19548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.92 % (19548)Termination reason: Unknown
% 1.88/1.92 % (19548)Termination phase: Saturation
% 1.88/1.92
% 1.88/1.92 % (19548)Memory used [KB]: 5756
% 1.88/1.92 % (19548)Time elapsed: 0.047 s
% 1.88/1.92 % (19548)Instructions burned: 46 (million)
% 1.88/1.92 % (19548)------------------------------
% 1.88/1.92 % (19548)------------------------------
% 1.88/1.94 % (19550)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_19410 for (2995ds/507Mi)
% 1.88/1.96 % (19534)Instruction limit reached!
% 1.88/1.96 % (19534)------------------------------
% 1.88/1.96 % (19534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.96 % (19534)Termination reason: Unknown
% 1.88/1.96 % (19534)Termination phase: Saturation
% 1.88/1.96
% 1.88/1.96 % (19534)Memory used [KB]: 7036
% 1.88/1.96 % (19534)Time elapsed: 0.392 s
% 1.88/1.96 % (19534)Instructions burned: 780 (million)
% 1.88/1.96 % (19534)------------------------------
% 1.88/1.96 % (19534)------------------------------
% 1.88/1.97 % (19529)Instruction limit reached!
% 1.88/1.97 % (19529)------------------------------
% 1.88/1.97 % (19529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.97 % (19529)Termination reason: Unknown
% 1.88/1.97 % (19529)Termination phase: Saturation
% 1.88/1.97
% 1.88/1.97 % (19529)Memory used [KB]: 7931
% 1.88/1.97 % (19529)Time elapsed: 0.436 s
% 1.88/1.97 % (19529)Instructions burned: 902 (million)
% 1.88/1.97 % (19529)------------------------------
% 1.88/1.97 % (19529)------------------------------
% 1.88/1.97 % (19549)Instruction limit reached!
% 1.88/1.97 % (19549)------------------------------
% 1.88/1.97 % (19549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.97 % (19549)Termination reason: Unknown
% 1.88/1.97 % (19549)Termination phase: Saturation
% 1.88/1.97
% 1.88/1.97 % (19549)Memory used [KB]: 1407
% 1.88/1.97 % (19549)Time elapsed: 0.071 s
% 1.88/1.97 % (19549)Instructions burned: 99 (million)
% 1.88/1.97 % (19549)------------------------------
% 1.88/1.97 % (19549)------------------------------
% 1.88/1.97 % (19551)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_19410 for (2995ds/149Mi)
% 1.88/1.98 % (19552)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_19410 for (2994ds/39Mi)
% 1.88/1.98 % (19553)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_19410 for (2994ds/6Mi)
% 1.88/1.98 % (19553)Instruction limit reached!
% 1.88/1.98 % (19553)------------------------------
% 1.88/1.98 % (19553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.99 % (19553)Termination reason: Unknown
% 1.88/1.99 % (19553)Termination phase: Property scanning
% 1.88/1.99
% 1.88/1.99 % (19553)Memory used [KB]: 1023
% 1.88/1.99 % (19553)Time elapsed: 0.004 s
% 1.88/1.99 % (19553)Instructions burned: 6 (million)
% 1.88/1.99 % (19553)------------------------------
% 1.88/1.99 % (19553)------------------------------
% 1.88/2.00 % (19518)Instruction limit reached!
% 1.88/2.00 % (19518)------------------------------
% 1.88/2.00 % (19518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/2.00 % (19518)Termination reason: Unknown
% 1.88/2.00 % (19518)Termination phase: Saturation
% 1.88/2.00
% 1.88/2.00 % (19518)Memory used [KB]: 8955
% 1.88/2.00 % (19518)Time elapsed: 0.507 s
% 1.88/2.00 % (19518)Instructions burned: 1041 (million)
% 1.88/2.00 % (19518)------------------------------
% 1.88/2.00 % (19518)------------------------------
% 1.88/2.00 % (19552)Instruction limit reached!
% 1.88/2.00 % (19552)------------------------------
% 1.88/2.00 % (19552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/2.00 % (19552)Termination reason: Unknown
% 1.88/2.00 % (19552)Termination phase: Saturation
% 1.88/2.00
% 1.88/2.00 % (19552)Memory used [KB]: 5756
% 1.88/2.00 % (19552)Time elapsed: 0.044 s
% 1.88/2.00 % (19552)Instructions burned: 40 (million)
% 1.88/2.00 % (19552)------------------------------
% 1.88/2.00 % (19552)------------------------------
% 1.88/2.00 % (19554)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_19410 for (2994ds/1087Mi)
% 1.88/2.01 % (19555)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_19410 for (2994ds/47Mi)
% 1.88/2.01 % (19536)Instruction limit reached!
% 1.88/2.01 % (19536)------------------------------
% 1.88/2.01 % (19536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/2.01 % (19536)Termination reason: Unknown
% 1.88/2.01 % (19536)Termination phase: Saturation
% 1.88/2.01
% 1.88/2.01 % (19536)Memory used [KB]: 7291
% 1.88/2.01 % (19536)Time elapsed: 0.446 s
% 1.88/2.01 % (19536)Instructions burned: 879 (million)
% 1.88/2.01 % (19536)------------------------------
% 1.88/2.01 % (19536)------------------------------
% 1.88/2.02 % (19556)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_19410 for (2994ds/44Mi)
% 5.84/2.03 % (19557)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_19410 for (2994ds/432Mi)
% 5.84/2.04 % (19555)Instruction limit reached!
% 5.84/2.04 % (19555)------------------------------
% 5.84/2.04 % (19555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.04 % (19555)Termination reason: Unknown
% 5.84/2.04 % (19555)Termination phase: Saturation
% 5.84/2.04
% 5.84/2.04 % (19555)Memory used [KB]: 5756
% 5.84/2.04 % (19555)Time elapsed: 0.052 s
% 5.84/2.04 % (19555)Instructions burned: 48 (million)
% 5.84/2.04 % (19555)------------------------------
% 5.84/2.04 % (19555)------------------------------
% 5.84/2.04 % (19556)Instruction limit reached!
% 5.84/2.04 % (19556)------------------------------
% 5.84/2.04 % (19556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.04 % (19556)Termination reason: Unknown
% 5.84/2.04 % (19556)Termination phase: Saturation
% 5.84/2.04
% 5.84/2.04 % (19556)Memory used [KB]: 1279
% 5.84/2.04 % (19556)Time elapsed: 0.024 s
% 5.84/2.04 % (19556)Instructions burned: 44 (million)
% 5.84/2.04 % (19556)------------------------------
% 5.84/2.04 % (19556)------------------------------
% 5.84/2.05 % (19551)Instruction limit reached!
% 5.84/2.05 % (19551)------------------------------
% 5.84/2.05 % (19551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.05 % (19551)Termination reason: Unknown
% 5.84/2.05 % (19551)Termination phase: Saturation
% 5.84/2.05
% 5.84/2.05 % (19551)Memory used [KB]: 5884
% 5.84/2.05 % (19551)Time elapsed: 0.102 s
% 5.84/2.05 % (19551)Instructions burned: 149 (million)
% 5.84/2.05 % (19551)------------------------------
% 5.84/2.05 % (19551)------------------------------
% 5.84/2.05 % (19558)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_19410 for (2994ds/62Mi)
% 5.84/2.06 % (19559)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_19410 for (2994ds/31Mi)
% 5.84/2.07 % (19560)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_19410 for (2993ds/96Mi)
% 5.84/2.07 % (19559)Instruction limit reached!
% 5.84/2.07 % (19559)------------------------------
% 5.84/2.07 % (19559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.07 % (19559)Termination reason: Unknown
% 5.84/2.07 % (19559)Termination phase: Saturation
% 5.84/2.07
% 5.84/2.07 % (19559)Memory used [KB]: 5756
% 5.84/2.07 % (19559)Time elapsed: 0.018 s
% 5.84/2.07 % (19559)Instructions burned: 31 (million)
% 5.84/2.07 % (19559)------------------------------
% 5.84/2.07 % (19559)------------------------------
% 5.84/2.09 % (19558)Instruction limit reached!
% 5.84/2.09 % (19558)------------------------------
% 5.84/2.09 % (19558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.09 % (19558)Termination reason: Unknown
% 5.84/2.09 % (19558)Termination phase: Saturation
% 5.84/2.09
% 5.84/2.09 % (19558)Memory used [KB]: 5884
% 5.84/2.09 % (19558)Time elapsed: 0.034 s
% 5.84/2.09 % (19558)Instructions burned: 63 (million)
% 5.84/2.09 % (19558)------------------------------
% 5.84/2.09 % (19558)------------------------------
% 5.84/2.09 % (19561)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_19410 for (2993ds/453Mi)
% 5.84/2.10 % (19562)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_19410 for (2993ds/71Mi)
% 5.84/2.12 % (19560)Instruction limit reached!
% 5.84/2.12 % (19560)------------------------------
% 5.84/2.12 % (19560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.12 % (19560)Termination reason: Unknown
% 5.84/2.12 % (19560)Termination phase: Saturation
% 5.84/2.12
% 5.84/2.12 % (19560)Memory used [KB]: 5884
% 5.84/2.12 % (19560)Time elapsed: 0.052 s
% 5.84/2.12 % (19560)Instructions burned: 97 (million)
% 5.84/2.12 % (19560)------------------------------
% 5.84/2.12 % (19560)------------------------------
% 5.84/2.12 % (19547)Instruction limit reached!
% 5.84/2.12 % (19547)------------------------------
% 5.84/2.12 % (19547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.12 % (19547)Termination reason: Unknown
% 5.84/2.12 % (19547)Termination phase: Saturation
% 5.84/2.12
% 5.84/2.12 % (19547)Memory used [KB]: 6908
% 5.84/2.12 % (19547)Time elapsed: 0.229 s
% 5.84/2.12 % (19547)Instructions burned: 448 (million)
% 5.84/2.12 % (19547)------------------------------
% 5.84/2.12 % (19547)------------------------------
% 6.42/2.13 % (19563)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_19410 for (2993ds/83Mi)
% 6.42/2.14 % (19564)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_19410 for (2993ds/11Mi)
% 6.42/2.14 % (19562)Instruction limit reached!
% 6.42/2.14 % (19562)------------------------------
% 6.42/2.14 % (19562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.14 % (19562)Termination reason: Unknown
% 6.42/2.14 % (19562)Termination phase: Saturation
% 6.42/2.14
% 6.42/2.14 % (19562)Memory used [KB]: 5884
% 6.42/2.14 % (19562)Time elapsed: 0.039 s
% 6.42/2.14 % (19562)Instructions burned: 72 (million)
% 6.42/2.14 % (19562)------------------------------
% 6.42/2.14 % (19562)------------------------------
% 6.42/2.14 % (19564)Instruction limit reached!
% 6.42/2.14 % (19564)------------------------------
% 6.42/2.14 % (19564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.14 % (19564)Termination reason: Unknown
% 6.42/2.14 % (19564)Termination phase: Saturation
% 6.42/2.14
% 6.42/2.14 % (19564)Memory used [KB]: 5628
% 6.42/2.14 % (19564)Time elapsed: 0.007 s
% 6.42/2.14 % (19564)Instructions burned: 11 (million)
% 6.42/2.14 % (19564)------------------------------
% 6.42/2.14 % (19564)------------------------------
% 6.42/2.16 % (19565)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_19410 for (2993ds/41Mi)
% 6.42/2.16 % (19566)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19410 for (2993ds/6Mi)
% 6.42/2.16 % (19566)Instruction limit reached!
% 6.42/2.16 % (19566)------------------------------
% 6.42/2.16 % (19566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.16 % (19566)Termination reason: Unknown
% 6.42/2.16 % (19566)Termination phase: Saturation
% 6.42/2.16
% 6.42/2.16 % (19566)Memory used [KB]: 5500
% 6.42/2.16 % (19566)Time elapsed: 0.005 s
% 6.42/2.16 % (19566)Instructions burned: 7 (million)
% 6.42/2.16 % (19566)------------------------------
% 6.42/2.16 % (19566)------------------------------
% 6.42/2.18 % (19565)Instruction limit reached!
% 6.42/2.18 % (19565)------------------------------
% 6.42/2.18 % (19565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.18 % (19565)Termination reason: Unknown
% 6.42/2.18 % (19565)Termination phase: Saturation
% 6.42/2.18
% 6.42/2.18 % (19565)Memory used [KB]: 5756
% 6.42/2.18 % (19565)Time elapsed: 0.022 s
% 6.42/2.18 % (19565)Instructions burned: 41 (million)
% 6.42/2.18 % (19565)------------------------------
% 6.42/2.18 % (19565)------------------------------
% 6.42/2.18 % (19563)Instruction limit reached!
% 6.42/2.18 % (19563)------------------------------
% 6.42/2.18 % (19563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.18 % (19563)Termination reason: Unknown
% 6.42/2.18 % (19563)Termination phase: Saturation
% 6.42/2.18
% 6.42/2.18 % (19563)Memory used [KB]: 6012
% 6.42/2.18 % (19563)Time elapsed: 0.044 s
% 6.42/2.18 % (19563)Instructions burned: 83 (million)
% 6.42/2.18 % (19563)------------------------------
% 6.42/2.18 % (19563)------------------------------
% 6.42/2.18 % (19567)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_19410 for (2992ds/150Mi)
% 6.42/2.19 % (19550)Instruction limit reached!
% 6.42/2.19 % (19550)------------------------------
% 6.42/2.19 % (19550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.19 % (19550)Termination reason: Unknown
% 6.42/2.19 % (19550)Termination phase: Saturation
% 6.42/2.19
% 6.42/2.19 % (19550)Memory used [KB]: 6524
% 6.42/2.19 % (19550)Time elapsed: 0.275 s
% 6.42/2.19 % (19550)Instructions burned: 508 (million)
% 6.42/2.19 % (19550)------------------------------
% 6.42/2.19 % (19550)------------------------------
% 6.42/2.19 % (19568)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_19410 for (2992ds/343Mi)
% 6.42/2.19 % (19569)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_19410 for (2992ds/109Mi)
% 6.74/2.20 % (19570)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_19410 for (2992ds/253Mi)
% 6.74/2.24 % (19557)Instruction limit reached!
% 6.74/2.24 % (19557)------------------------------
% 6.74/2.24 % (19557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.24 % (19557)Termination reason: Unknown
% 6.74/2.24 % (19557)Termination phase: Saturation
% 6.74/2.24
% 6.74/2.24 % (19557)Memory used [KB]: 4093
% 6.74/2.24 % (19557)Time elapsed: 0.211 s
% 6.74/2.24 % (19557)Instructions burned: 433 (million)
% 6.74/2.24 % (19557)------------------------------
% 6.74/2.24 % (19557)------------------------------
% 6.74/2.25 % (19569)Instruction limit reached!
% 6.74/2.25 % (19569)------------------------------
% 6.74/2.25 % (19569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.25 % (19569)Termination reason: Unknown
% 6.74/2.25 % (19569)Termination phase: Saturation
% 6.74/2.25
% 6.74/2.25 % (19569)Memory used [KB]: 6140
% 6.74/2.25 % (19569)Time elapsed: 0.060 s
% 6.74/2.25 % (19569)Instructions burned: 110 (million)
% 6.74/2.25 % (19569)------------------------------
% 6.74/2.25 % (19569)------------------------------
% 6.74/2.25 % (19567)Instruction limit reached!
% 6.74/2.25 % (19567)------------------------------
% 6.74/2.25 % (19567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.25 % (19567)Termination reason: Unknown
% 6.74/2.25 % (19567)Termination phase: Saturation
% 6.74/2.25
% 6.74/2.25 % (19567)Memory used [KB]: 6012
% 6.74/2.25 % (19567)Time elapsed: 0.077 s
% 6.74/2.25 % (19567)Instructions burned: 150 (million)
% 6.74/2.25 % (19567)------------------------------
% 6.74/2.25 % (19567)------------------------------
% 6.74/2.26 % (19571)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_19410 for (2992ds/140Mi)
% 6.74/2.27 % (19572)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_19410 for (2992ds/614Mi)
% 6.74/2.27 % (19573)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_19410 for (2992ds/202Mi)
% 7.24/2.32 % (19561)Refutation not found, non-redundant clauses discarded% (19561)------------------------------
% 7.24/2.32 % (19561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.32 % (19561)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.24/2.32
% 7.24/2.32 % (19561)Memory used [KB]: 6396
% 7.24/2.32 % (19561)Time elapsed: 0.226 s
% 7.24/2.32 % (19561)Instructions burned: 445 (million)
% 7.24/2.32 % (19561)------------------------------
% 7.24/2.32 % (19561)------------------------------
% 7.24/2.33 % (19571)Instruction limit reached!
% 7.24/2.33 % (19571)------------------------------
% 7.24/2.33 % (19571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.33 % (19571)Termination reason: Unknown
% 7.24/2.33 % (19571)Termination phase: Saturation
% 7.24/2.33
% 7.24/2.33 % (19571)Memory used [KB]: 6268
% 7.24/2.33 % (19571)Time elapsed: 0.072 s
% 7.24/2.33 % (19571)Instructions burned: 140 (million)
% 7.24/2.33 % (19571)------------------------------
% 7.24/2.33 % (19571)------------------------------
% 7.24/2.33 % (19570)Instruction limit reached!
% 7.24/2.33 % (19570)------------------------------
% 7.24/2.33 % (19570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.33 % (19570)Termination reason: Unknown
% 7.24/2.33 % (19570)Termination phase: Saturation
% 7.24/2.33
% 7.24/2.33 % (19570)Memory used [KB]: 6140
% 7.24/2.33 % (19570)Time elapsed: 0.127 s
% 7.24/2.33 % (19570)Instructions burned: 253 (million)
% 7.24/2.33 % (19570)------------------------------
% 7.24/2.33 % (19570)------------------------------
% 7.24/2.33 % (19574)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_19410 for (2991ds/339Mi)
% 7.24/2.34 % (19575)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_19410 for (2991ds/283Mi)
% 7.24/2.35 % (19576)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_19410 for (2991ds/134Mi)
% 7.24/2.37 % (19568)Instruction limit reached!
% 7.24/2.37 % (19568)------------------------------
% 7.24/2.37 % (19568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.37 % (19568)Termination reason: Unknown
% 7.24/2.37 % (19568)Termination phase: Saturation
% 7.24/2.37
% 7.24/2.37 % (19568)Memory used [KB]: 6396
% 7.24/2.37 % (19568)Time elapsed: 0.175 s
% 7.24/2.37 % (19568)Instructions burned: 343 (million)
% 7.24/2.37 % (19568)------------------------------
% 7.24/2.37 % (19568)------------------------------
% 7.24/2.38 % (19573)Instruction limit reached!
% 7.24/2.38 % (19573)------------------------------
% 7.24/2.38 % (19573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.38 % (19573)Termination reason: Unknown
% 7.24/2.38 % (19573)Termination phase: Saturation
% 7.24/2.38
% 7.24/2.38 % (19573)Memory used [KB]: 6268
% 7.24/2.38 % (19573)Time elapsed: 0.108 s
% 7.24/2.38 % (19573)Instructions burned: 203 (million)
% 7.24/2.38 % (19573)------------------------------
% 7.24/2.38 % (19573)------------------------------
% 7.24/2.38 % (19577)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_19410 for (2990ds/298Mi)
% 7.24/2.39 % (19578)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_19410 for (2990ds/192Mi)
% 8.12/2.41 % (19576)Instruction limit reached!
% 8.12/2.41 % (19576)------------------------------
% 8.12/2.41 % (19576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.41 % (19576)Termination reason: Unknown
% 8.12/2.41 % (19576)Termination phase: Saturation
% 8.12/2.41
% 8.12/2.41 % (19576)Memory used [KB]: 6140
% 8.12/2.41 % (19576)Time elapsed: 0.070 s
% 8.12/2.41 % (19576)Instructions burned: 135 (million)
% 8.12/2.41 % (19576)------------------------------
% 8.12/2.41 % (19576)------------------------------
% 8.12/2.43 % (19579)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_19410 for (2990ds/258Mi)
% 8.12/2.48 % (19575)Instruction limit reached!
% 8.12/2.48 % (19575)------------------------------
% 8.12/2.48 % (19575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.48 % (19575)Termination reason: Unknown
% 8.12/2.48 % (19575)Termination phase: Saturation
% 8.12/2.48
% 8.12/2.48 % (19575)Memory used [KB]: 6908
% 8.12/2.48 % (19575)Time elapsed: 0.139 s
% 8.12/2.48 % (19575)Instructions burned: 284 (million)
% 8.12/2.48 % (19575)------------------------------
% 8.12/2.48 % (19575)------------------------------
% 8.12/2.49 % (19578)Instruction limit reached!
% 8.12/2.49 % (19578)------------------------------
% 8.12/2.49 % (19578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.49 % (19578)Termination reason: Unknown
% 8.12/2.49 % (19578)Termination phase: Saturation
% 8.12/2.49
% 8.12/2.49 % (19578)Memory used [KB]: 6268
% 8.12/2.49 % (19578)Time elapsed: 0.101 s
% 8.12/2.49 % (19578)Instructions burned: 192 (million)
% 8.12/2.49 % (19578)------------------------------
% 8.12/2.49 % (19578)------------------------------
% 8.12/2.50 % (19580)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_19410 for (2989ds/90Mi)
% 8.57/2.51 % (19574)Instruction limit reached!
% 8.57/2.51 % (19574)------------------------------
% 8.57/2.51 % (19574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.51 % (19574)Termination reason: Unknown
% 8.57/2.51 % (19574)Termination phase: Saturation
% 8.57/2.51
% 8.57/2.51 % (19574)Memory used [KB]: 6524
% 8.57/2.51 % (19574)Time elapsed: 0.175 s
% 8.57/2.51 % (19574)Instructions burned: 340 (million)
% 8.57/2.51 % (19574)------------------------------
% 8.57/2.51 % (19574)------------------------------
% 8.57/2.51 % (19581)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_19410 for (2989ds/231Mi)
% 8.57/2.52 % (19582)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_19410 for (2989ds/458Mi)
% 8.57/2.54 % (19577)Instruction limit reached!
% 8.57/2.54 % (19577)------------------------------
% 8.57/2.54 % (19577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.54 % (19577)Termination reason: Unknown
% 8.57/2.54 % (19577)Termination phase: Saturation
% 8.57/2.54
% 8.57/2.54 % (19577)Memory used [KB]: 6396
% 8.57/2.54 % (19577)Time elapsed: 0.156 s
% 8.57/2.54 % (19577)Instructions burned: 298 (million)
% 8.57/2.54 % (19577)------------------------------
% 8.57/2.54 % (19577)------------------------------
% 8.57/2.54 % (19580)Instruction limit reached!
% 8.57/2.54 % (19580)------------------------------
% 8.57/2.54 % (19580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.54 % (19580)Termination reason: Unknown
% 8.57/2.54 % (19580)Termination phase: Saturation
% 8.57/2.54
% 8.57/2.54 % (19580)Memory used [KB]: 5884
% 8.57/2.54 % (19580)Time elapsed: 0.049 s
% 8.57/2.54 % (19580)Instructions burned: 90 (million)
% 8.57/2.54 % (19580)------------------------------
% 8.57/2.54 % (19580)------------------------------
% 8.57/2.54 % (19579)Refutation not found, non-redundant clauses discarded% (19579)------------------------------
% 8.57/2.54 % (19579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.54 % (19579)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.57/2.54
% 8.57/2.54 % (19579)Memory used [KB]: 6140
% 8.57/2.54 % (19579)Time elapsed: 0.114 s
% 8.57/2.54 % (19579)Instructions burned: 226 (million)
% 8.57/2.54 % (19579)------------------------------
% 8.57/2.54 % (19579)------------------------------
% 8.57/2.55 % (19583)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_19410 for (2989ds/31Mi)
% 8.57/2.56 % (19584)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_19410 for (2989ds/297Mi)
% 8.57/2.56 % (19585)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_19410 for (2989ds/987Mi)
% 8.57/2.56 % (19554)Instruction limit reached!
% 8.57/2.56 % (19554)------------------------------
% 8.57/2.56 % (19554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.56 % (19554)Termination reason: Unknown
% 8.57/2.56 % (19554)Termination phase: Saturation
% 8.57/2.56
% 8.57/2.56 % (19554)Memory used [KB]: 7547
% 8.57/2.56 % (19554)Time elapsed: 0.584 s
% 8.57/2.56 % (19554)Instructions burned: 1088 (million)
% 8.57/2.56 % (19554)------------------------------
% 8.57/2.56 % (19554)------------------------------
% 8.57/2.57 % (19583)Instruction limit reached!
% 8.57/2.57 % (19583)------------------------------
% 8.57/2.57 % (19583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.57 % (19583)Termination reason: Unknown
% 8.57/2.57 % (19583)Termination phase: Saturation
% 8.57/2.57
% 8.57/2.57 % (19583)Memory used [KB]: 5756
% 8.57/2.57 % (19583)Time elapsed: 0.018 s
% 8.57/2.57 % (19583)Instructions burned: 31 (million)
% 8.57/2.57 % (19583)------------------------------
% 8.57/2.57 % (19583)------------------------------
% 8.57/2.57 % (19572)Instruction limit reached!
% 8.57/2.57 % (19572)------------------------------
% 8.57/2.57 % (19572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.57/2.57 % (19572)Termination reason: Unknown
% 8.57/2.57 % (19572)Termination phase: Saturation
% 8.57/2.57
% 8.57/2.57 % (19572)Memory used [KB]: 6908
% 8.57/2.57 % (19572)Time elapsed: 0.308 s
% 8.57/2.57 % (19572)Instructions burned: 614 (million)
% 8.57/2.57 % (19572)------------------------------
% 8.57/2.57 % (19572)------------------------------
% 8.57/2.58 % (19586)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_19410 for (2988ds/182Mi)
% 8.57/2.58 % (19587)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_19410 for (2988ds/182Mi)
% 8.57/2.59 % (19588)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_19410 for (2988ds/154Mi)
% 9.56/2.63 % (19581)Instruction limit reached!
% 9.56/2.63 % (19581)------------------------------
% 9.56/2.63 % (19581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.63 % (19581)Termination reason: Unknown
% 9.56/2.63 % (19581)Termination phase: Saturation
% 9.56/2.63
% 9.56/2.63 % (19581)Memory used [KB]: 6908
% 9.56/2.63 % (19581)Time elapsed: 0.120 s
% 9.56/2.63 % (19581)Instructions burned: 232 (million)
% 9.56/2.63 % (19581)------------------------------
% 9.56/2.63 % (19581)------------------------------
% 9.56/2.64 % (19589)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_19410 for (2988ds/79Mi)
% 9.56/2.67 % (19588)Instruction limit reached!
% 9.56/2.67 % (19588)------------------------------
% 9.56/2.67 % (19588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.67 % (19588)Termination reason: Unknown
% 9.56/2.67 % (19588)Termination phase: Saturation
% 9.56/2.67
% 9.56/2.67 % (19588)Memory used [KB]: 6140
% 9.56/2.67 % (19588)Time elapsed: 0.080 s
% 9.56/2.67 % (19588)Instructions burned: 155 (million)
% 9.56/2.67 % (19588)------------------------------
% 9.56/2.67 % (19588)------------------------------
% 9.56/2.67 % (19586)Instruction limit reached!
% 9.56/2.67 % (19586)------------------------------
% 9.56/2.67 % (19586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.67 % (19586)Termination reason: Unknown
% 9.56/2.67 % (19586)Termination phase: Saturation
% 9.56/2.67
% 9.56/2.67 % (19586)Memory used [KB]: 6396
% 9.56/2.67 % (19586)Time elapsed: 0.114 s
% 9.56/2.67 % (19586)Instructions burned: 182 (million)
% 9.56/2.67 % (19586)------------------------------
% 9.56/2.67 % (19586)------------------------------
% 9.56/2.68 % (19589)Instruction limit reached!
% 9.56/2.68 % (19589)------------------------------
% 9.56/2.68 % (19589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.68 % (19589)Termination reason: Unknown
% 9.56/2.68 % (19589)Termination phase: Saturation
% 9.56/2.68
% 9.56/2.68 % (19589)Memory used [KB]: 5884
% 9.56/2.68 % (19589)Time elapsed: 0.041 s
% 9.56/2.68 % (19589)Instructions burned: 80 (million)
% 9.56/2.68 % (19589)------------------------------
% 9.56/2.68 % (19589)------------------------------
% 9.56/2.68 % (19587)Instruction limit reached!
% 9.56/2.68 % (19587)------------------------------
% 9.56/2.68 % (19587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.68 % (19587)Termination reason: Unknown
% 9.56/2.68 % (19587)Termination phase: Saturation
% 9.56/2.68
% 9.56/2.68 % (19587)Memory used [KB]: 6140
% 9.56/2.68 % (19587)Time elapsed: 0.098 s
% 9.56/2.68 % (19587)Instructions burned: 183 (million)
% 9.56/2.68 % (19587)------------------------------
% 9.56/2.68 % (19587)------------------------------
% 9.56/2.68 % (19590)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_19410 for (2987ds/216Mi)
% 9.56/2.68 % (19591)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_19410 for (2987ds/114Mi)
% 10.06/2.70 % (19592)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_19410 for (2987ds/922Mi)
% 10.06/2.70 % (19593)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_19410 for (2987ds/182Mi)
% 10.06/2.70 % (19584)Instruction limit reached!
% 10.06/2.70 % (19584)------------------------------
% 10.06/2.70 % (19584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.70 % (19584)Termination reason: Unknown
% 10.06/2.70 % (19584)Termination phase: Saturation
% 10.06/2.70
% 10.06/2.70 % (19584)Memory used [KB]: 6524
% 10.06/2.70 % (19584)Time elapsed: 0.168 s
% 10.06/2.70 % (19584)Instructions burned: 297 (million)
% 10.06/2.70 % (19584)------------------------------
% 10.06/2.70 % (19584)------------------------------
% 10.06/2.72 % (19594)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_19410 for (2987ds/164Mi)
% 10.06/2.74 % (19591)Instruction limit reached!
% 10.06/2.74 % (19591)------------------------------
% 10.06/2.74 % (19591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.74 % (19591)Termination reason: Unknown
% 10.06/2.74 % (19591)Termination phase: Saturation
% 10.06/2.74
% 10.06/2.74 % (19591)Memory used [KB]: 6396
% 10.06/2.74 % (19591)Time elapsed: 0.057 s
% 10.06/2.74 % (19591)Instructions burned: 115 (million)
% 10.06/2.74 % (19591)------------------------------
% 10.06/2.74 % (19591)------------------------------
% 10.06/2.75 % (19582)Instruction limit reached!
% 10.06/2.75 % (19582)------------------------------
% 10.06/2.75 % (19582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.75 % (19582)Termination reason: Unknown
% 10.06/2.75 % (19582)Termination phase: Saturation
% 10.06/2.75
% 10.06/2.75 % (19582)Memory used [KB]: 6652
% 10.06/2.75 % (19582)Time elapsed: 0.231 s
% 10.06/2.75 % (19582)Instructions burned: 458 (million)
% 10.06/2.75 % (19582)------------------------------
% 10.06/2.75 % (19582)------------------------------
% 10.06/2.76 % (19595)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_19410 for (2987ds/50Mi)
% 10.06/2.77 % (19596)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_19410 for (2986ds/368Mi)
% 10.06/2.78 % (19595)Instruction limit reached!
% 10.06/2.78 % (19595)------------------------------
% 10.06/2.78 % (19595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.78 % (19595)Termination reason: Unknown
% 10.06/2.78 % (19595)Termination phase: Saturation
% 10.06/2.78
% 10.06/2.78 % (19595)Memory used [KB]: 10746
% 10.06/2.78 % (19595)Time elapsed: 0.027 s
% 10.06/2.78 % (19595)Instructions burned: 51 (million)
% 10.06/2.78 % (19595)------------------------------
% 10.06/2.78 % (19595)------------------------------
% 10.06/2.79 % (19593)Instruction limit reached!
% 10.06/2.79 % (19593)------------------------------
% 10.06/2.79 % (19593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.79 % (19593)Termination reason: Unknown
% 10.06/2.79 % (19593)Termination phase: Saturation
% 10.06/2.79
% 10.06/2.79 % (19593)Memory used [KB]: 6012
% 10.06/2.79 % (19593)Time elapsed: 0.091 s
% 10.06/2.79 % (19593)Instructions burned: 182 (million)
% 10.06/2.79 % (19593)------------------------------
% 10.06/2.79 % (19593)------------------------------
% 10.06/2.79 % (19590)Instruction limit reached!
% 10.06/2.79 % (19590)------------------------------
% 10.06/2.79 % (19590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.06/2.79 % (19590)Termination reason: Unknown
% 10.06/2.79 % (19590)Termination phase: Saturation
% 10.06/2.79
% 10.06/2.79 % (19590)Memory used [KB]: 6268
% 10.06/2.79 % (19590)Time elapsed: 0.110 s
% 10.06/2.79 % (19590)Instructions burned: 216 (million)
% 10.06/2.79 % (19590)------------------------------
% 10.06/2.79 % (19590)------------------------------
% 10.80/2.80 % (19597)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_19410 for (2986ds/1021Mi)
% 10.80/2.80 % (19598)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_19410 for (2986ds/267Mi)
% 10.80/2.80 % (19594)Instruction limit reached!
% 10.80/2.80 % (19594)------------------------------
% 10.80/2.80 % (19594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.80 % (19594)Termination reason: Unknown
% 10.80/2.80 % (19594)Termination phase: Saturation
% 10.80/2.80
% 10.80/2.80 % (19594)Memory used [KB]: 1407
% 10.80/2.80 % (19594)Time elapsed: 0.085 s
% 10.80/2.80 % (19594)Instructions burned: 164 (million)
% 10.80/2.80 % (19594)------------------------------
% 10.80/2.80 % (19594)------------------------------
% 10.80/2.81 % (19599)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_19410 for (2986ds/204Mi)
% 10.80/2.82 % (19600)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_19410 for (2986ds/26Mi)
% 10.80/2.83 % (19600)Instruction limit reached!
% 10.80/2.83 % (19600)------------------------------
% 10.80/2.83 % (19600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.83 % (19600)Termination reason: Unknown
% 10.80/2.83 % (19600)Termination phase: Saturation
% 10.80/2.83
% 10.80/2.83 % (19600)Memory used [KB]: 5756
% 10.80/2.83 % (19600)Time elapsed: 0.015 s
% 10.80/2.83 % (19600)Instructions burned: 26 (million)
% 10.80/2.83 % (19600)------------------------------
% 10.80/2.83 % (19600)------------------------------
% 10.80/2.85 % (19601)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_19410 for (2986ds/53Mi)
% 10.80/2.88 % (19601)Instruction limit reached!
% 10.80/2.88 % (19601)------------------------------
% 10.80/2.88 % (19601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.88 % (19601)Termination reason: Unknown
% 10.80/2.88 % (19601)Termination phase: Saturation
% 10.80/2.88
% 10.80/2.88 % (19601)Memory used [KB]: 6140
% 10.80/2.88 % (19601)Time elapsed: 0.028 s
% 10.80/2.88 % (19601)Instructions burned: 54 (million)
% 10.80/2.88 % (19601)------------------------------
% 10.80/2.88 % (19601)------------------------------
% 10.80/2.89 % (19602)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_19410 for (2985ds/4436Mi)
% 10.98/2.91 % (19599)Instruction limit reached!
% 10.98/2.91 % (19599)------------------------------
% 10.98/2.91 % (19599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.98/2.91 % (19599)Termination reason: Unknown
% 10.98/2.91 % (19599)Termination phase: Saturation
% 10.98/2.91
% 10.98/2.91 % (19599)Memory used [KB]: 6012
% 10.98/2.91 % (19599)Time elapsed: 0.103 s
% 10.98/2.91 % (19599)Instructions burned: 204 (million)
% 10.98/2.91 % (19599)------------------------------
% 10.98/2.91 % (19599)------------------------------
% 10.98/2.93 % (19603)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_19410 for (2985ds/1539Mi)
% 10.98/2.94 % (19598)Instruction limit reached!
% 10.98/2.94 % (19598)------------------------------
% 10.98/2.94 % (19598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.98/2.94 % (19598)Termination reason: Unknown
% 10.98/2.94 % (19598)Termination phase: Saturation
% 10.98/2.94
% 10.98/2.94 % (19598)Memory used [KB]: 6396
% 10.98/2.94 % (19598)Time elapsed: 0.135 s
% 10.98/2.94 % (19598)Instructions burned: 267 (million)
% 10.98/2.94 % (19598)------------------------------
% 10.98/2.94 % (19598)------------------------------
% 10.98/2.95 % (19604)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_19410 for (2985ds/408Mi)
% 10.98/2.95 % (19596)Instruction limit reached!
% 10.98/2.95 % (19596)------------------------------
% 10.98/2.95 % (19596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.98/2.95 % (19596)Termination reason: Unknown
% 10.98/2.95 % (19596)Termination phase: Saturation
% 10.98/2.95
% 10.98/2.95 % (19596)Memory used [KB]: 6524
% 10.98/2.95 % (19596)Time elapsed: 0.188 s
% 10.98/2.95 % (19596)Instructions burned: 368 (million)
% 10.98/2.95 % (19596)------------------------------
% 10.98/2.95 % (19596)------------------------------
% 10.98/2.97 % (19605)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_19410 for (2984ds/5205Mi)
% 12.88/3.04 % (19585)Instruction limit reached!
% 12.88/3.04 % (19585)------------------------------
% 12.88/3.04 % (19585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.88/3.04 % (19585)Termination reason: Unknown
% 12.88/3.04 % (19585)Termination phase: Saturation
% 12.88/3.04
% 12.88/3.04 % (19585)Memory used [KB]: 7803
% 12.88/3.04 % (19585)Time elapsed: 0.501 s
% 12.88/3.04 % (19585)Instructions burned: 988 (million)
% 12.88/3.04 % (19585)------------------------------
% 12.88/3.04 % (19585)------------------------------
% 12.88/3.06 % (19606)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_19410 for (2984ds/1913Mi)
% 13.52/3.16 % (19592)Instruction limit reached!
% 13.52/3.16 % (19592)------------------------------
% 13.52/3.16 % (19592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.52/3.16 % (19592)Termination reason: Unknown
% 13.52/3.16 % (19592)Termination phase: Saturation
% 13.52/3.16
% 13.52/3.16 % (19592)Memory used [KB]: 7675
% 13.52/3.16 % (19592)Time elapsed: 0.464 s
% 13.52/3.16 % (19592)Instructions burned: 923 (million)
% 13.52/3.16 % (19592)------------------------------
% 13.52/3.16 % (19592)------------------------------
% 13.52/3.18 % (19607)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_19410 for (2982ds/4350Mi)
% 13.52/3.18 % (19604)Instruction limit reached!
% 13.52/3.18 % (19604)------------------------------
% 13.52/3.18 % (19604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.52/3.18 % (19604)Termination reason: Unknown
% 13.52/3.18 % (19604)Termination phase: Saturation
% 13.52/3.18
% 13.52/3.18 % (19604)Memory used [KB]: 6524
% 13.52/3.18 % (19604)Time elapsed: 0.240 s
% 13.52/3.18 % (19604)Instructions burned: 409 (million)
% 13.52/3.18 % (19604)------------------------------
% 13.52/3.18 % (19604)------------------------------
% 13.89/3.20 % (19608)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_19410 for (2982ds/68Mi)
% 13.89/3.24 % (19608)Instruction limit reached!
% 13.89/3.24 % (19608)------------------------------
% 13.89/3.24 % (19608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.89/3.24 % (19608)Termination reason: Unknown
% 13.89/3.24 % (19608)Termination phase: Saturation
% 13.89/3.24
% 13.89/3.24 % (19608)Memory used [KB]: 6012
% 13.89/3.24 % (19608)Time elapsed: 0.038 s
% 13.89/3.24 % (19608)Instructions burned: 68 (million)
% 13.89/3.24 % (19608)------------------------------
% 13.89/3.24 % (19608)------------------------------
% 13.89/3.25 % (19609)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_19410 for (2982ds/358Mi)
% 14.34/3.30 % (19597)Instruction limit reached!
% 14.34/3.30 % (19597)------------------------------
% 14.34/3.30 % (19597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.34/3.30 % (19597)Termination reason: Unknown
% 14.34/3.30 % (19597)Termination phase: Saturation
% 14.34/3.30
% 14.34/3.30 % (19597)Memory used [KB]: 7036
% 14.34/3.30 % (19597)Time elapsed: 0.509 s
% 14.34/3.30 % (19597)Instructions burned: 1021 (million)
% 14.34/3.31 % (19597)------------------------------
% 14.34/3.31 % (19597)------------------------------
% 14.34/3.32 % (19610)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_19410 for (2981ds/31Mi)
% 14.34/3.34 % (19610)Instruction limit reached!
% 14.34/3.34 % (19610)------------------------------
% 14.34/3.34 % (19610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.34/3.34 % (19610)Termination reason: Unknown
% 14.34/3.34 % (19610)Termination phase: Saturation
% 14.34/3.34
% 14.34/3.34 % (19610)Memory used [KB]: 5756
% 14.34/3.34 % (19610)Time elapsed: 0.019 s
% 14.34/3.34 % (19610)Instructions burned: 32 (million)
% 14.34/3.34 % (19610)------------------------------
% 14.34/3.34 % (19610)------------------------------
% 14.34/3.36 % (19611)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_19410 for (2981ds/279Mi)
% 14.68/3.43 % (19609)Instruction limit reached!
% 14.68/3.43 % (19609)------------------------------
% 14.68/3.43 % (19609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.68/3.43 % (19609)Termination reason: Unknown
% 14.68/3.43 % (19609)Termination phase: Saturation
% 14.68/3.43
% 14.68/3.43 % (19609)Memory used [KB]: 6140
% 14.68/3.43 % (19609)Time elapsed: 0.176 s
% 14.68/3.43 % (19609)Instructions burned: 359 (million)
% 14.68/3.43 % (19609)------------------------------
% 14.68/3.43 % (19609)------------------------------
% 14.68/3.44 % (19612)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_19410 for (2980ds/258Mi)
% 14.68/3.50 % (19611)Instruction limit reached!
% 14.68/3.50 % (19611)------------------------------
% 14.68/3.50 % (19611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.68/3.50 % (19611)Termination reason: Unknown
% 14.68/3.50 % (19611)Termination phase: Saturation
% 14.68/3.50
% 14.68/3.50 % (19611)Memory used [KB]: 6652
% 14.68/3.50 % (19611)Time elapsed: 0.143 s
% 14.68/3.50 % (19611)Instructions burned: 279 (million)
% 14.68/3.50 % (19611)------------------------------
% 14.68/3.50 % (19611)------------------------------
% 15.19/3.51 % (19613)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_19410 for (2979ds/26Mi)
% 15.19/3.53 % (19613)Instruction limit reached!
% 15.19/3.53 % (19613)------------------------------
% 15.19/3.53 % (19613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.19/3.53 % (19613)Termination reason: Unknown
% 15.19/3.53 % (19613)Termination phase: Saturation
% 15.19/3.53
% 15.19/3.53 % (19613)Memory used [KB]: 5756
% 15.19/3.53 % (19613)Time elapsed: 0.016 s
% 15.19/3.53 % (19613)Instructions burned: 27 (million)
% 15.19/3.53 % (19613)------------------------------
% 15.19/3.53 % (19613)------------------------------
% 15.19/3.54 % (19614)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_19410 for (2979ds/995Mi)
% 15.19/3.57 % (19612)Instruction limit reached!
% 15.19/3.57 % (19612)------------------------------
% 15.19/3.57 % (19612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.19/3.57 % (19612)Termination reason: Unknown
% 15.19/3.57 % (19612)Termination phase: Saturation
% 15.19/3.57
% 15.19/3.57 % (19612)Memory used [KB]: 6268
% 15.19/3.57 % (19612)Time elapsed: 0.131 s
% 15.19/3.57 % (19612)Instructions burned: 259 (million)
% 15.19/3.57 % (19612)------------------------------
% 15.19/3.57 % (19612)------------------------------
% 15.19/3.59 % (19615)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_19410 for (2978ds/373Mi)
% 15.82/3.69 % (19603)Instruction limit reached!
% 15.82/3.69 % (19603)------------------------------
% 15.82/3.69 % (19603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.82/3.69 % (19603)Termination reason: Unknown
% 15.82/3.69 % (19603)Termination phase: Saturation
% 15.82/3.69
% 15.82/3.69 % (19603)Memory used [KB]: 8443
% 15.82/3.69 % (19603)Time elapsed: 0.764 s
% 15.82/3.69 % (19603)Instructions burned: 1539 (million)
% 15.82/3.69 % (19603)------------------------------
% 15.82/3.69 % (19603)------------------------------
% 16.12/3.71 % (19616)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_19410 for (2977ds/253Mi)
% 16.12/3.77 % (19615)Instruction limit reached!
% 16.12/3.77 % (19615)------------------------------
% 16.12/3.77 % (19615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.12/3.77 % (19615)Termination reason: Unknown
% 16.12/3.77 % (19615)Termination phase: Saturation
% 16.12/3.77
% 16.12/3.77 % (19615)Memory used [KB]: 6524
% 16.12/3.77 % (19615)Time elapsed: 0.187 s
% 16.12/3.77 % (19615)Instructions burned: 373 (million)
% 16.12/3.77 % (19615)------------------------------
% 16.12/3.77 % (19615)------------------------------
% 16.12/3.79 % (19617)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_19410 for (2976ds/832Mi)
% 16.52/3.83 % (19616)Instruction limit reached!
% 16.52/3.83 % (19616)------------------------------
% 16.52/3.83 % (19616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.52/3.83 % (19616)Termination reason: Unknown
% 16.52/3.83 % (19616)Termination phase: Saturation
% 16.52/3.83
% 16.52/3.83 % (19616)Memory used [KB]: 6268
% 16.52/3.83 % (19616)Time elapsed: 0.123 s
% 16.52/3.83 % (19616)Instructions burned: 253 (million)
% 16.52/3.83 % (19616)------------------------------
% 16.52/3.83 % (19616)------------------------------
% 16.52/3.84 % (19618)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_19410 for (2976ds/668Mi)
% 16.86/3.99 % (19606)Instruction limit reached!
% 16.86/3.99 % (19606)------------------------------
% 16.86/3.99 % (19606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.86/3.99 % (19606)Termination reason: Unknown
% 16.86/3.99 % (19606)Termination phase: Saturation
% 16.86/3.99
% 16.86/3.99 % (19606)Memory used [KB]: 3198
% 16.86/3.99 % (19606)Time elapsed: 0.940 s
% 16.86/3.99 % (19606)Instructions burned: 1913 (million)
% 16.86/3.99 % (19606)------------------------------
% 16.86/3.99 % (19606)------------------------------
% 16.86/4.01 % (19619)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_19410 for (2974ds/40Mi)
% 16.86/4.03 % (19619)Instruction limit reached!
% 16.86/4.03 % (19619)------------------------------
% 16.86/4.03 % (19619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.86/4.03 % (19619)Termination reason: Unknown
% 16.86/4.03 % (19619)Termination phase: Saturation
% 16.86/4.03
% 16.86/4.03 % (19619)Memory used [KB]: 5884
% 16.86/4.03 % (19619)Time elapsed: 0.023 s
% 16.86/4.03 % (19619)Instructions burned: 40 (million)
% 16.86/4.03 % (19619)------------------------------
% 16.86/4.03 % (19619)------------------------------
% 16.86/4.03 % (19614)Instruction limit reached!
% 16.86/4.03 % (19614)------------------------------
% 16.86/4.03 % (19614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.86/4.03 % (19614)Termination reason: Unknown
% 16.86/4.03 % (19614)Termination phase: Saturation
% 16.86/4.03
% 16.86/4.03 % (19614)Memory used [KB]: 7291
% 16.86/4.03 % (19614)Time elapsed: 0.490 s
% 16.86/4.03 % (19614)Instructions burned: 995 (million)
% 16.86/4.03 % (19614)------------------------------
% 16.86/4.03 % (19614)------------------------------
% 19.92/4.05 % (19620)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_19410 for (2974ds/294Mi)
% 19.92/4.05 % (19621)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_19410 for (2974ds/187Mi)
% 20.43/4.15 % (19621)Instruction limit reached!
% 20.43/4.15 % (19621)------------------------------
% 20.43/4.15 % (19621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.43/4.15 % (19621)Termination reason: Unknown
% 20.43/4.15 % (19621)Termination phase: Saturation
% 20.43/4.15
% 20.43/4.15 % (19621)Memory used [KB]: 6396
% 20.43/4.15 % (19621)Time elapsed: 0.102 s
% 20.43/4.15 % (19621)Instructions burned: 188 (million)
% 20.43/4.15 % (19621)------------------------------
% 20.43/4.15 % (19621)------------------------------
% 20.43/4.17 % (19622)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_19410 for (2972ds/371Mi)
% 20.43/4.18 % (19618)Instruction limit reached!
% 20.43/4.18 % (19618)------------------------------
% 20.43/4.18 % (19618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.43/4.18 % (19618)Termination reason: Unknown
% 20.43/4.18 % (19618)Termination phase: Saturation
% 20.43/4.18
% 20.43/4.18 % (19618)Memory used [KB]: 12281
% 20.43/4.18 % (19618)Time elapsed: 0.340 s
% 20.43/4.18 % (19618)Instructions burned: 669 (million)
% 20.43/4.18 % (19618)------------------------------
% 20.43/4.18 % (19618)------------------------------
% 20.84/4.20 % (19623)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_19410 for (2972ds/1827Mi)
% 20.84/4.20 % (19620)Instruction limit reached!
% 20.84/4.20 % (19620)------------------------------
% 20.84/4.20 % (19620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.20 % (19620)Termination reason: Unknown
% 20.84/4.20 % (19620)Termination phase: Saturation
% 20.84/4.20
% 20.84/4.20 % (19620)Memory used [KB]: 6908
% 20.84/4.20 % (19620)Time elapsed: 0.153 s
% 20.84/4.20 % (19620)Instructions burned: 295 (million)
% 20.84/4.20 % (19620)------------------------------
% 20.84/4.20 % (19620)------------------------------
% 20.84/4.21 % (19617)Instruction limit reached!
% 20.84/4.21 % (19617)------------------------------
% 20.84/4.21 % (19617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.21 % (19617)Termination reason: Unknown
% 20.84/4.21 % (19617)Termination phase: Saturation
% 20.84/4.21
% 20.84/4.21 % (19617)Memory used [KB]: 7419
% 20.84/4.21 % (19617)Time elapsed: 0.421 s
% 20.84/4.21 % (19617)Instructions burned: 833 (million)
% 20.84/4.21 % (19617)------------------------------
% 20.84/4.21 % (19617)------------------------------
% 20.84/4.22 % (19624)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_19410 for (2972ds/70Mi)
% 20.84/4.23 % (19625)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_19410 for (2972ds/316Mi)
% 20.84/4.24 % (19625)Refutation not found, incomplete strategy
% 20.84/4.24 % (19625)------------------------------
% 20.84/4.24 % (19625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.24 % (19625)Termination reason: Refutation not found, incomplete strategy
% 20.84/4.24
% 20.84/4.24
% 20.84/4.24 % (19625)Memory used [KB]: 5628
% 20.84/4.24 % (19625)Time elapsed: 0.011 s
% 20.84/4.24 % (19625)Instructions burned: 18 (million)
% 20.84/4.24 % (19625)------------------------------
% 20.84/4.24 % (19625)------------------------------
% 20.84/4.25 % (19624)Instruction limit reached!
% 20.84/4.25 % (19624)------------------------------
% 20.84/4.25 % (19624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.25 % (19624)Termination reason: Unknown
% 20.84/4.25 % (19624)Termination phase: Saturation
% 20.84/4.25
% 20.84/4.25 % (19624)Memory used [KB]: 1791
% 20.84/4.25 % (19624)Time elapsed: 0.037 s
% 20.84/4.25 % (19624)Instructions burned: 71 (million)
% 20.84/4.25 % (19624)------------------------------
% 20.84/4.25 % (19624)------------------------------
% 20.84/4.25 % (19626)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_19410 for (2972ds/932Mi)
% 20.84/4.27 % (19627)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_19410 for (2971ds/4714Mi)
% 20.84/4.28 % (19627)Refutation not found, incomplete strategy
% 20.84/4.28 % (19627)------------------------------
% 20.84/4.28 % (19627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.28 % (19627)Termination reason: Refutation not found, incomplete strategy
% 20.84/4.28
% 20.84/4.28
% 20.84/4.28 % (19627)Memory used [KB]: 5628
% 20.84/4.28 % (19627)Time elapsed: 0.009 s
% 20.84/4.28 % (19627)Instructions burned: 14 (million)
% 20.84/4.28 % (19627)------------------------------
% 20.84/4.28 % (19627)------------------------------
% 20.84/4.29 % (19628)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_19410 for (2971ds/8250Mi)
% 21.43/4.35 % (19622)Instruction limit reached!
% 21.43/4.35 % (19622)------------------------------
% 21.43/4.35 % (19622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.43/4.35 % (19622)Termination reason: Unknown
% 21.43/4.35 % (19622)Termination phase: Saturation
% 21.43/4.35
% 21.43/4.35 % (19622)Memory used [KB]: 6524
% 21.43/4.35 % (19622)Time elapsed: 0.190 s
% 21.43/4.35 % (19622)Instructions burned: 372 (million)
% 21.43/4.35 % (19622)------------------------------
% 21.43/4.35 % (19622)------------------------------
% 21.43/4.37 % (19629)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_19410 for (2970ds/770Mi)
% 22.82/4.71 % (19626)Instruction limit reached!
% 22.82/4.71 % (19626)------------------------------
% 22.82/4.71 % (19626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.82/4.71 % (19626)Termination reason: Unknown
% 22.82/4.71 % (19626)Termination phase: Saturation
% 22.82/4.71
% 22.82/4.71 % (19626)Memory used [KB]: 7803
% 22.82/4.71 % (19626)Time elapsed: 0.463 s
% 22.82/4.71 % (19626)Instructions burned: 933 (million)
% 22.82/4.71 % (19626)------------------------------
% 22.82/4.71 % (19626)------------------------------
% 22.82/4.73 % (19630)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_19410 for (2967ds/794Mi)
% 22.82/4.75 % (19629)Instruction limit reached!
% 22.82/4.75 % (19629)------------------------------
% 22.82/4.75 % (19629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.82/4.75 % (19629)Termination reason: Unknown
% 22.82/4.75 % (19629)Termination phase: Saturation
% 22.82/4.75
% 22.82/4.75 % (19629)Memory used [KB]: 6780
% 22.82/4.75 % (19629)Time elapsed: 0.379 s
% 22.82/4.75 % (19629)Instructions burned: 771 (million)
% 22.82/4.75 % (19629)------------------------------
% 22.82/4.75 % (19629)------------------------------
% 22.82/4.76 % (19631)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_19410 for (2966ds/464Mi)
% 24.29/5.00 % (19631)Instruction limit reached!
% 24.29/5.00 % (19631)------------------------------
% 24.29/5.00 % (19631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.29/5.00 % (19631)Termination reason: Unknown
% 24.29/5.00 % (19631)Termination phase: Saturation
% 24.29/5.00
% 24.29/5.00 % (19631)Memory used [KB]: 6524
% 24.29/5.00 % (19631)Time elapsed: 0.240 s
% 24.29/5.00 % (19631)Instructions burned: 464 (million)
% 24.29/5.00 % (19631)------------------------------
% 24.29/5.00 % (19631)------------------------------
% 24.29/5.02 % (19632)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_19410 for (2964ds/1376Mi)
% 26.77/5.11 % (19623)Instruction limit reached!
% 26.77/5.11 % (19623)------------------------------
% 26.77/5.11 % (19623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.77/5.11 % (19623)Termination reason: Unknown
% 26.77/5.11 % (19623)Termination phase: Saturation
% 26.77/5.11
% 26.77/5.11 % (19623)Memory used [KB]: 8059
% 26.77/5.11 % (19623)Time elapsed: 0.911 s
% 26.77/5.11 % (19623)Instructions burned: 1828 (million)
% 26.77/5.11 % (19623)------------------------------
% 26.77/5.11 % (19623)------------------------------
% 27.39/5.13 % (19633)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_19410 for (2963ds/906Mi)
% 27.39/5.13 % (19630)Instruction limit reached!
% 27.39/5.13 % (19630)------------------------------
% 27.39/5.13 % (19630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.39/5.13 % (19630)Termination reason: Unknown
% 27.39/5.13 % (19630)Termination phase: Saturation
% 27.39/5.13
% 27.39/5.13 % (19630)Memory used [KB]: 3198
% 27.39/5.13 % (19630)Time elapsed: 0.396 s
% 27.39/5.13 % (19630)Instructions burned: 794 (million)
% 27.39/5.13 % (19630)------------------------------
% 27.39/5.13 % (19630)------------------------------
% 27.39/5.14 % (19634)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_19410 for (2963ds/434Mi)
% 27.39/5.15 % (19602)Instruction limit reached!
% 27.39/5.15 % (19602)------------------------------
% 27.39/5.15 % (19602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.39/5.15 % (19602)Termination reason: Unknown
% 27.39/5.15 % (19602)Termination phase: Saturation
% 27.39/5.15
% 27.39/5.15 % (19602)Memory used [KB]: 11001
% 27.39/5.15 % (19602)Time elapsed: 2.255 s
% 27.39/5.15 % (19602)Instructions burned: 4437 (million)
% 27.39/5.15 % (19602)------------------------------
% 27.39/5.15 % (19602)------------------------------
% 27.39/5.16 % (19634)Refutation not found, incomplete strategy
% 27.39/5.16 % (19634)------------------------------
% 27.39/5.16 % (19634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.39/5.16 % (19634)Termination reason: Refutation not found, incomplete strategy
% 27.39/5.16
% 27.39/5.16
% 27.39/5.16 % (19634)Memory used [KB]: 5628
% 27.39/5.16 % (19634)Time elapsed: 0.015 s
% 27.39/5.16 % (19634)Instructions burned: 25 (million)
% 27.39/5.16 % (19634)------------------------------
% 27.39/5.16 % (19634)------------------------------
% 27.39/5.16 % (19607)Refutation not found, non-redundant clauses discarded% (19607)------------------------------
% 27.39/5.16 % (19607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.39/5.16 % (19607)Termination reason: Refutation not found, non-redundant clauses discarded
% 27.39/5.16
% 27.39/5.16 % (19607)Memory used [KB]: 9978
% 27.39/5.16 % (19607)Time elapsed: 1.976 s
% 27.39/5.16 % (19607)Instructions burned: 4243 (million)
% 27.39/5.16 % (19607)------------------------------
% 27.39/5.16 % (19607)------------------------------
% 27.39/5.16 % (19635)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_19410 for (2963ds/865Mi)
% 27.39/5.17 % (19636)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_19410 for (2962ds/593Mi)
% 27.39/5.17 % (19637)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_19410 for (2962ds/443Mi)
% 27.86/5.31 % (19605)Instruction limit reached!
% 27.86/5.31 % (19605)------------------------------
% 27.86/5.31 % (19605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.86/5.31 % (19605)Termination reason: Unknown
% 27.86/5.31 % (19605)Termination phase: Saturation
% 27.86/5.31
% 27.86/5.31 % (19605)Memory used [KB]: 13048
% 27.86/5.31 % (19605)Time elapsed: 2.338 s
% 27.86/5.31 % (19605)Instructions burned: 5205 (million)
% 27.86/5.31 % (19605)------------------------------
% 27.86/5.31 % (19605)------------------------------
% 27.86/5.32 % (19638)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_19410 for (2961ds/594Mi)
% 27.98/5.40 % (19637)Instruction limit reached!
% 27.98/5.40 % (19637)------------------------------
% 27.98/5.40 % (19637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.98/5.40 % (19637)Termination reason: Unknown
% 27.98/5.40 % (19637)Termination phase: Saturation
% 27.98/5.40
% 27.98/5.40 % (19637)Memory used [KB]: 6652
% 27.98/5.40 % (19637)Time elapsed: 0.227 s
% 27.98/5.40 % (19637)Instructions burned: 443 (million)
% 27.98/5.40 % (19637)------------------------------
% 27.98/5.40 % (19637)------------------------------
% 27.98/5.42 % (19639)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_19410 for (2960ds/327Mi)
% 27.98/5.45 % (19636)Instruction limit reached!
% 27.98/5.45 % (19636)------------------------------
% 27.98/5.45 % (19636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.98/5.45 % (19636)Termination reason: Unknown
% 27.98/5.45 % (19636)Termination phase: Saturation
% 27.98/5.45
% 27.98/5.45 % (19636)Memory used [KB]: 6396
% 27.98/5.45 % (19636)Time elapsed: 0.275 s
% 27.98/5.45 % (19636)Instructions burned: 593 (million)
% 27.98/5.45 % (19636)------------------------------
% 27.98/5.45 % (19636)------------------------------
% 27.98/5.46 % (19640)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_19410 for (2960ds/5411Mi)
% 28.61/5.55 % (19633)Instruction limit reached!
% 28.61/5.55 % (19633)------------------------------
% 28.61/5.55 % (19633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.61/5.55 % (19633)Termination reason: Unknown
% 28.61/5.55 % (19633)Termination phase: Saturation
% 28.61/5.55
% 28.61/5.55 % (19633)Memory used [KB]: 7547
% 28.61/5.55 % (19633)Time elapsed: 0.427 s
% 28.61/5.55 % (19633)Instructions burned: 906 (million)
% 28.61/5.55 % (19633)------------------------------
% 28.61/5.55 % (19633)------------------------------
% 28.61/5.57 % (19641)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_19410 for (2959ds/1762Mi)
% 28.61/5.57 % (19639)Instruction limit reached!
% 28.61/5.57 % (19639)------------------------------
% 28.61/5.57 % (19639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.61/5.57 % (19639)Termination reason: Unknown
% 28.61/5.57 % (19639)Termination phase: Saturation
% 28.61/5.57
% 28.61/5.57 % (19639)Memory used [KB]: 6524
% 28.61/5.57 % (19639)Time elapsed: 0.158 s
% 28.61/5.57 % (19639)Instructions burned: 327 (million)
% 28.61/5.57 % (19639)------------------------------
% 28.61/5.57 % (19639)------------------------------
% 28.61/5.59 % (19642)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_19410 for (2958ds/96Mi)
% 28.61/5.59 % (19635)Instruction limit reached!
% 28.61/5.59 % (19635)------------------------------
% 28.61/5.59 % (19635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.61/5.59 % (19635)Termination reason: Unknown
% 28.61/5.59 % (19635)Termination phase: Saturation
% 28.61/5.59
% 28.61/5.59 % (19635)Memory used [KB]: 8443
% 28.61/5.59 % (19635)Time elapsed: 0.431 s
% 28.61/5.59 % (19635)Instructions burned: 866 (million)
% 28.61/5.59 % (19635)------------------------------
% 28.61/5.59 % (19635)------------------------------
% 29.76/5.61 % (19643)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_19410 for (2958ds/503Mi)
% 29.76/5.61 % (19643)Refutation not found, incomplete strategy
% 29.76/5.61 % (19643)------------------------------
% 29.76/5.61 % (19643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.76/5.61 % (19643)Termination reason: Refutation not found, incomplete strategy
% 29.76/5.61
% 29.76/5.61
% 29.76/5.61 % (19643)Memory used [KB]: 5628
% 29.76/5.61 % (19643)Time elapsed: 0.008 s
% 29.76/5.61 % (19643)Instructions burned: 10 (million)
% 29.76/5.61 % (19643)------------------------------
% 29.76/5.61 % (19643)------------------------------
% 29.76/5.62 % (19638)Instruction limit reached!
% 29.76/5.62 % (19638)------------------------------
% 29.76/5.62 % (19638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.76/5.62 % (19638)Termination reason: Unknown
% 29.76/5.62 % (19638)Termination phase: Saturation
% 29.76/5.62
% 29.76/5.62 % (19638)Memory used [KB]: 6652
% 29.76/5.62 % (19638)Time elapsed: 0.294 s
% 29.76/5.62 % (19638)Instructions burned: 596 (million)
% 29.76/5.62 % (19638)------------------------------
% 29.76/5.62 % (19638)------------------------------
% 29.76/5.63 % (19644)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_19410 for (2958ds/90Mi)
% 29.76/5.63 % (19645)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_19410 for (2958ds/593Mi)
% 29.76/5.64 % (19642)Instruction limit reached!
% 29.76/5.64 % (19642)------------------------------
% 29.76/5.64 % (19642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.76/5.64 % (19642)Termination reason: Unknown
% 29.76/5.64 % (19642)Termination phase: Saturation
% 29.76/5.64
% 29.76/5.64 % (19642)Memory used [KB]: 6012
% 29.76/5.64 % (19642)Time elapsed: 0.051 s
% 29.76/5.64 % (19642)Instructions burned: 97 (million)
% 29.76/5.64 % (19642)------------------------------
% 29.76/5.64 % (19642)------------------------------
% 29.76/5.65 % (19646)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_19410 for (2958ds/1512Mi)
% 29.76/5.68 % (19644)Instruction limit reached!
% 29.76/5.68 % (19644)------------------------------
% 29.76/5.68 % (19644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.76/5.68 % (19644)Termination reason: Unknown
% 29.76/5.68 % (19644)Termination phase: Saturation
% 29.76/5.68
% 29.76/5.68 % (19644)Memory used [KB]: 5884
% 29.76/5.68 % (19644)Time elapsed: 0.049 s
% 29.76/5.68 % (19644)Instructions burned: 90 (million)
% 29.76/5.68 % (19644)------------------------------
% 29.76/5.68 % (19644)------------------------------
% 29.76/5.68 % (19632)Instruction limit reached!
% 29.76/5.68 % (19632)------------------------------
% 29.76/5.68 % (19632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.76/5.68 % (19632)Termination reason: Unknown
% 29.76/5.68 % (19632)Termination phase: Saturation
% 29.76/5.68
% 29.76/5.68 % (19632)Memory used [KB]: 13048
% 29.76/5.68 % (19632)Time elapsed: 0.666 s
% 29.76/5.68 % (19632)Instructions burned: 1376 (million)
% 29.76/5.68 % (19632)------------------------------
% 29.76/5.68 % (19632)------------------------------
% 29.76/5.69 % (19647)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_19410 for (2957ds/569Mi)
% 31.01/5.70 % (19648)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_19410 for (2957ds/501Mi)
% 31.01/5.76 % (19648)Refutation not found, incomplete strategy
% 31.01/5.76 % (19648)------------------------------
% 31.01/5.76 % (19648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.01/5.76 % (19648)Termination reason: Refutation not found, incomplete strategy
% 31.01/5.76
% 31.01/5.76
% 31.01/5.76 % (19648)Memory used [KB]: 5884
% 31.01/5.76 % (19648)Time elapsed: 0.058 s
% 31.01/5.76 % (19648)Instructions burned: 108 (million)
% 31.01/5.76 % (19648)------------------------------
% 31.01/5.76 % (19648)------------------------------
% 31.01/5.77 % (19649)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_19410 for (2956ds/562Mi)
% 31.28/5.93 % (19645)Instruction limit reached!
% 31.28/5.93 % (19645)------------------------------
% 31.28/5.93 % (19645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.28/5.93 % (19645)Termination reason: Unknown
% 31.28/5.93 % (19645)Termination phase: Saturation
% 31.28/5.93
% 31.28/5.93 % (19645)Memory used [KB]: 6908
% 31.28/5.93 % (19645)Time elapsed: 0.301 s
% 31.28/5.93 % (19645)Instructions burned: 593 (million)
% 31.28/5.93 % (19645)------------------------------
% 31.28/5.93 % (19645)------------------------------
% 31.28/5.95 % (19650)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_19410 for (2955ds/406Mi)
% 31.28/5.98 % (19647)Instruction limit reached!
% 31.28/5.98 % (19647)------------------------------
% 31.28/5.98 % (19647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.28/5.98 % (19647)Termination reason: Unknown
% 31.28/5.98 % (19647)Termination phase: Saturation
% 31.28/5.98
% 31.28/5.98 % (19647)Memory used [KB]: 7164
% 31.28/5.98 % (19647)Time elapsed: 0.283 s
% 31.28/5.98 % (19647)Instructions burned: 569 (million)
% 31.28/5.98 % (19647)------------------------------
% 31.28/5.98 % (19647)------------------------------
% 31.28/5.99 % (19651)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_19410 for (2954ds/582Mi)
% 33.86/6.07 % (19649)Instruction limit reached!
% 33.86/6.07 % (19649)------------------------------
% 33.86/6.07 % (19649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.86/6.07 % (19649)Termination reason: Unknown
% 33.86/6.07 % (19649)Termination phase: Saturation
% 33.86/6.07
% 33.86/6.07 % (19649)Memory used [KB]: 6780
% 33.86/6.07 % (19649)Time elapsed: 0.294 s
% 33.86/6.07 % (19649)Instructions burned: 564 (million)
% 33.86/6.07 % (19649)------------------------------
% 33.86/6.07 % (19649)------------------------------
% 33.86/6.08 % (19652)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_19410 for (2953ds/456Mi)
% 34.50/6.15 % (19650)Instruction limit reached!
% 34.50/6.15 % (19650)------------------------------
% 34.50/6.15 % (19650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.50/6.15 % (19650)Termination reason: Unknown
% 34.50/6.15 % (19650)Termination phase: Saturation
% 34.50/6.15
% 34.50/6.15 % (19650)Memory used [KB]: 6780
% 34.50/6.15 % (19650)Time elapsed: 0.207 s
% 34.50/6.15 % (19650)Instructions burned: 407 (million)
% 34.50/6.15 % (19650)------------------------------
% 34.50/6.15 % (19650)------------------------------
% 34.50/6.17 % (19653)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_19410 for (2952ds/393Mi)
% 34.85/6.28 % (19651)Instruction limit reached!
% 34.85/6.28 % (19651)------------------------------
% 34.85/6.28 % (19651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.85/6.28 % (19651)Termination reason: Unknown
% 34.85/6.28 % (19651)Termination phase: Saturation
% 34.85/6.28
% 34.85/6.28 % (19651)Memory used [KB]: 6524
% 34.85/6.28 % (19651)Time elapsed: 0.310 s
% 34.85/6.28 % (19651)Instructions burned: 582 (million)
% 34.85/6.28 % (19651)------------------------------
% 34.85/6.28 % (19651)------------------------------
% 35.34/6.30 % (19654)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_19410 for (2951ds/1335Mi)
% 35.34/6.31 % (19652)Instruction limit reached!
% 35.34/6.31 % (19652)------------------------------
% 35.34/6.31 % (19652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.34/6.31 % (19652)Termination reason: Unknown
% 35.34/6.31 % (19652)Termination phase: Saturation
% 35.34/6.31
% 35.34/6.31 % (19652)Memory used [KB]: 6524
% 35.34/6.31 % (19652)Time elapsed: 0.228 s
% 35.34/6.31 % (19652)Instructions burned: 456 (million)
% 35.34/6.31 % (19652)------------------------------
% 35.34/6.31 % (19652)------------------------------
% 35.34/6.33 % (19655)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_19410 for (2951ds/3373Mi)
% 35.34/6.34 % (19640)Refutation not found, incomplete strategy
% 35.34/6.34 % (19640)------------------------------
% 35.34/6.34 % (19640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.34/6.34 % (19640)Termination reason: Refutation not found, incomplete strategy
% 35.34/6.34
% 35.34/6.34
% 35.34/6.34 % (19640)Memory used [KB]: 8187
% 35.34/6.34 % (19640)Time elapsed: 0.881 s
% 35.34/6.34 % (19640)Instructions burned: 1886 (million)
% 35.34/6.34 % (19640)------------------------------
% 35.34/6.34 % (19640)------------------------------
% 35.34/6.36 % (19656)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_19410 for (2951ds/474Mi)
% 35.34/6.37 % (19653)Instruction limit reached!
% 35.34/6.37 % (19653)------------------------------
% 35.34/6.37 % (19653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.34/6.37 % (19653)Termination reason: Unknown
% 35.34/6.37 % (19653)Termination phase: Saturation
% 35.34/6.37
% 35.34/6.37 % (19653)Memory used [KB]: 6524
% 35.34/6.37 % (19653)Time elapsed: 0.204 s
% 35.34/6.37 % (19653)Instructions burned: 393 (million)
% 35.34/6.37 % (19653)------------------------------
% 35.34/6.37 % (19653)------------------------------
% 35.34/6.39 % (19657)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_19410 for (2950ds/157Mi)
% 36.15/6.43 % (19646)Instruction limit reached!
% 36.15/6.43 % (19646)------------------------------
% 36.15/6.43 % (19646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.15/6.43 % (19646)Termination reason: Unknown
% 36.15/6.43 % (19646)Termination phase: Saturation
% 36.15/6.43
% 36.15/6.43 % (19646)Memory used [KB]: 8187
% 36.15/6.43 % (19646)Time elapsed: 0.778 s
% 36.15/6.43 % (19646)Instructions burned: 1512 (million)
% 36.15/6.43 % (19646)------------------------------
% 36.15/6.43 % (19646)------------------------------
% 36.15/6.44 % (19641)Instruction limit reached!
% 36.15/6.44 % (19641)------------------------------
% 36.15/6.44 % (19641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.15/6.44 % (19641)Termination reason: Unknown
% 36.15/6.44 % (19641)Termination phase: Saturation
% 36.15/6.44
% 36.15/6.44 % (19641)Memory used [KB]: 8827
% 36.15/6.44 % (19641)Time elapsed: 0.879 s
% 36.15/6.44 % (19641)Instructions burned: 1763 (million)
% 36.15/6.44 % (19641)------------------------------
% 36.15/6.44 % (19641)------------------------------
% 36.15/6.45 % (19658)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_19410 for (2950ds/590Mi)
% 36.15/6.46 % (19659)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_19410 for (2950ds/104Mi)
% 36.15/6.47 % (19657)Instruction limit reached!
% 36.15/6.47 % (19657)------------------------------
% 36.15/6.47 % (19657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.15/6.47 % (19657)Termination reason: Unknown
% 36.15/6.47 % (19657)Termination phase: Saturation
% 36.15/6.47
% 36.15/6.47 % (19657)Memory used [KB]: 6396
% 36.15/6.47 % (19657)Time elapsed: 0.080 s
% 36.15/6.47 % (19657)Instructions burned: 158 (million)
% 36.15/6.47 % (19657)------------------------------
% 36.15/6.47 % (19657)------------------------------
% 36.15/6.48 % (19660)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_19410 for (2949ds/414Mi)
% 36.44/6.51 % (19659)Instruction limit reached!
% 36.44/6.51 % (19659)------------------------------
% 36.44/6.51 % (19659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.44/6.51 % (19659)Termination reason: Unknown
% 36.44/6.51 % (19659)Termination phase: Saturation
% 36.44/6.51
% 36.44/6.51 % (19659)Memory used [KB]: 5884
% 36.44/6.51 % (19659)Time elapsed: 0.054 s
% 36.44/6.51 % (19659)Instructions burned: 105 (million)
% 36.44/6.51 % (19659)------------------------------
% 36.44/6.51 % (19659)------------------------------
% 36.44/6.53 % (19661)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_19410 for (2949ds/715Mi)
% 36.44/6.59 % (19656)Instruction limit reached!
% 36.44/6.59 % (19656)------------------------------
% 36.44/6.59 % (19656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.44/6.59 % (19656)Termination reason: Unknown
% 36.44/6.59 % (19656)Termination phase: Saturation
% 36.44/6.59
% 36.44/6.59 % (19656)Memory used [KB]: 6908
% 36.44/6.59 % (19656)Time elapsed: 0.229 s
% 36.44/6.59 % (19656)Instructions burned: 474 (million)
% 36.44/6.59 % (19656)------------------------------
% 36.44/6.59 % (19656)------------------------------
% 36.86/6.60 % (19662)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_19410 for (2948ds/961Mi)
% 36.86/6.68 % (19660)Instruction limit reached!
% 36.86/6.68 % (19660)------------------------------
% 36.86/6.68 % (19660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.86/6.68 % (19660)Termination reason: Unknown
% 36.86/6.68 % (19660)Termination phase: Saturation
% 36.86/6.68
% 36.86/6.68 % (19660)Memory used [KB]: 6140
% 36.86/6.68 % (19660)Time elapsed: 0.202 s
% 36.86/6.68 % (19660)Instructions burned: 415 (million)
% 36.86/6.68 % (19660)------------------------------
% 36.86/6.68 % (19660)------------------------------
% 37.18/6.70 % (19663)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_19410 for (2947ds/1213Mi)
% 37.18/6.74 % (19658)Instruction limit reached!
% 37.18/6.74 % (19658)------------------------------
% 37.18/6.74 % (19658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.18/6.74 % (19658)Termination reason: Unknown
% 37.18/6.74 % (19658)Termination phase: Saturation
% 37.18/6.74
% 37.18/6.74 % (19658)Memory used [KB]: 7164
% 37.18/6.74 % (19658)Time elapsed: 0.291 s
% 37.18/6.74 % (19658)Instructions burned: 591 (million)
% 37.18/6.74 % (19658)------------------------------
% 37.18/6.74 % (19658)------------------------------
% 37.18/6.75 % (19664)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_19410 for (2947ds/1979Mi)
% 37.59/6.88 % (19661)Instruction limit reached!
% 37.59/6.88 % (19661)------------------------------
% 37.59/6.88 % (19661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.59/6.88 % (19661)Termination reason: Unknown
% 37.59/6.88 % (19661)Termination phase: Saturation
% 37.59/6.88
% 37.59/6.88 % (19661)Memory used [KB]: 2686
% 37.59/6.88 % (19661)Time elapsed: 0.350 s
% 37.59/6.88 % (19661)Instructions burned: 716 (million)
% 37.59/6.88 % (19661)------------------------------
% 37.59/6.88 % (19661)------------------------------
% 37.59/6.89 % (19665)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_19410 for (2945ds/481Mi)
% 37.59/6.89 % (19654)Instruction limit reached!
% 37.59/6.89 % (19654)------------------------------
% 37.59/6.89 % (19654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.59/6.89 % (19654)Termination reason: Unknown
% 37.59/6.89 % (19654)Termination phase: Saturation
% 37.59/6.89
% 37.59/6.89 % (19654)Memory used [KB]: 6652
% 37.59/6.89 % (19654)Time elapsed: 0.600 s
% 37.59/6.89 % (19654)Instructions burned: 1335 (million)
% 37.59/6.89 % (19654)------------------------------
% 37.59/6.89 % (19654)------------------------------
% 38.66/6.91 % (19666)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_19410 for (2945ds/783Mi)
% 40.84/7.08 % (19662)Instruction limit reached!
% 40.84/7.08 % (19662)------------------------------
% 40.84/7.08 % (19662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.84/7.08 % (19662)Termination reason: Unknown
% 40.84/7.08 % (19662)Termination phase: Saturation
% 40.84/7.08
% 40.84/7.08 % (19662)Memory used [KB]: 7164
% 40.84/7.08 % (19662)Time elapsed: 0.475 s
% 40.84/7.08 % (19662)Instructions burned: 961 (million)
% 40.84/7.08 % (19662)------------------------------
% 40.84/7.08 % (19662)------------------------------
% 40.84/7.09 % (19667)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_19410 for (2943ds/432Mi)
% 40.84/7.13 % (19665)Instruction limit reached!
% 40.84/7.13 % (19665)------------------------------
% 40.84/7.13 % (19665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.84/7.13 % (19665)Termination reason: Unknown
% 40.84/7.13 % (19665)Termination phase: Saturation
% 40.84/7.13
% 40.84/7.13 % (19665)Memory used [KB]: 6524
% 40.84/7.13 % (19665)Time elapsed: 0.235 s
% 40.84/7.13 % (19665)Instructions burned: 482 (million)
% 40.84/7.13 % (19665)------------------------------
% 40.84/7.13 % (19665)------------------------------
% 41.50/7.14 % (19668)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_19410 for (2943ds/1670Mi)
% 41.79/7.29 % (19667)Instruction limit reached!
% 41.79/7.29 % (19667)------------------------------
% 41.79/7.29 % (19667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.79/7.29 % (19667)Termination reason: Unknown
% 41.79/7.29 % (19667)Termination phase: Saturation
% 41.79/7.29
% 41.79/7.29 % (19667)Memory used [KB]: 6140
% 41.79/7.29 % (19667)Time elapsed: 0.194 s
% 41.79/7.29 % (19667)Instructions burned: 434 (million)
% 41.79/7.29 % (19667)------------------------------
% 41.79/7.29 % (19667)------------------------------
% 42.51/7.30 % (19669)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_19410 for (2941ds/90Mi)
% 42.51/7.32 % (19666)Instruction limit reached!
% 42.51/7.32 % (19666)------------------------------
% 42.51/7.32 % (19666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.51/7.32 % (19666)Termination reason: Unknown
% 42.51/7.32 % (19666)Termination phase: Saturation
% 42.51/7.32
% 42.51/7.32 % (19666)Memory used [KB]: 7419
% 42.51/7.32 % (19666)Time elapsed: 0.414 s
% 42.51/7.32 % (19666)Instructions burned: 785 (million)
% 42.51/7.32 % (19666)------------------------------
% 42.51/7.32 % (19666)------------------------------
% 42.51/7.33 % (19663)Instruction limit reached!
% 42.51/7.33 % (19663)------------------------------
% 42.51/7.33 % (19663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.51/7.33 % (19663)Termination reason: Unknown
% 42.51/7.33 % (19663)Termination phase: Saturation
% 42.51/7.33
% 42.51/7.33 % (19663)Memory used [KB]: 7419
% 42.51/7.33 % (19663)Time elapsed: 0.636 s
% 42.51/7.33 % (19663)Instructions burned: 1213 (million)
% 42.51/7.33 % (19663)------------------------------
% 42.51/7.33 % (19663)------------------------------
% 42.51/7.33 % (19670)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_19410 for (2941ds/346Mi)
% 42.51/7.35 % (19669)Instruction limit reached!
% 42.51/7.35 % (19669)------------------------------
% 42.51/7.35 % (19669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.51/7.35 % (19669)Termination reason: Unknown
% 42.51/7.35 % (19669)Termination phase: Saturation
% 42.51/7.35
% 42.51/7.35 % (19669)Memory used [KB]: 5884
% 42.51/7.35 % (19669)Time elapsed: 0.048 s
% 42.51/7.35 % (19669)Instructions burned: 90 (million)
% 42.51/7.35 % (19669)------------------------------
% 42.51/7.35 % (19669)------------------------------
% 42.51/7.35 % (19671)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_19410 for (2941ds/401Mi)
% 42.51/7.36 % (19672)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_19410 for (2940ds/6454Mi)
% 43.25/7.50 % (19670)Instruction limit reached!
% 43.25/7.50 % (19670)------------------------------
% 43.25/7.50 % (19670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.25/7.50 % (19670)Termination reason: Unknown
% 43.25/7.50 % (19670)Termination phase: Saturation
% 43.25/7.50
% 43.25/7.50 % (19670)Memory used [KB]: 6524
% 43.25/7.50 % (19670)Time elapsed: 0.188 s
% 43.25/7.50 % (19670)Instructions burned: 346 (million)
% 43.25/7.50 % (19670)------------------------------
% 43.25/7.50 % (19670)------------------------------
% 43.25/7.51 % (19673)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_19410 for (2939ds/283Mi)
% 43.25/7.55 % (19671)Instruction limit reached!
% 43.25/7.55 % (19671)------------------------------
% 43.25/7.55 % (19671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.25/7.55 % (19671)Termination reason: Unknown
% 43.25/7.55 % (19671)Termination phase: Saturation
% 43.25/7.55
% 43.25/7.55 % (19671)Memory used [KB]: 7164
% 43.25/7.55 % (19671)Time elapsed: 0.224 s
% 43.25/7.55 % (19671)Instructions burned: 402 (million)
% 43.25/7.55 % (19671)------------------------------
% 43.25/7.55 % (19671)------------------------------
% 43.25/7.57 % (19674)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_19410 for (2938ds/865Mi)
% 43.96/7.66 % (19673)Instruction limit reached!
% 43.96/7.66 % (19673)------------------------------
% 43.96/7.66 % (19673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.96/7.66 % (19673)Termination reason: Unknown
% 43.96/7.66 % (19673)Termination phase: Saturation
% 43.96/7.66
% 43.96/7.66 % (19673)Memory used [KB]: 6652
% 43.96/7.66 % (19673)Time elapsed: 0.148 s
% 43.96/7.66 % (19673)Instructions burned: 283 (million)
% 43.96/7.66 % (19673)------------------------------
% 43.96/7.66 % (19673)------------------------------
% 43.96/7.68 % (19675)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_19410 for (2937ds/4528Mi)
% 43.96/7.69 % (19675)Refutation not found, incomplete strategy
% 43.96/7.69 % (19675)------------------------------
% 43.96/7.69 % (19675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.96/7.69 % (19675)Termination reason: Refutation not found, incomplete strategy
% 43.96/7.69
% 43.96/7.69
% 43.96/7.69 % (19675)Memory used [KB]: 1151
% 43.96/7.69 % (19675)Time elapsed: 0.013 s
% 43.96/7.69 % (19675)Instructions burned: 22 (million)
% 43.96/7.69 % (19675)------------------------------
% 43.96/7.69 % (19675)------------------------------
% 44.44/7.71 % (19676)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_19410 for (2937ds/1001Mi)
% 44.44/7.75 % (19664)Instruction limit reached!
% 44.44/7.75 % (19664)------------------------------
% 44.44/7.75 % (19664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.44/7.75 % (19664)Termination reason: Unknown
% 44.44/7.75 % (19664)Termination phase: Saturation
% 44.44/7.75
% 44.44/7.75 % (19664)Memory used [KB]: 8443
% 44.44/7.75 % (19664)Time elapsed: 0.998 s
% 44.44/7.75 % (19664)Instructions burned: 1980 (million)
% 44.44/7.75 % (19664)------------------------------
% 44.44/7.75 % (19664)------------------------------
% 44.44/7.77 % (19677)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_19410 for (2936ds/102Mi)
% 44.70/7.82 % (19677)Instruction limit reached!
% 44.70/7.82 % (19677)------------------------------
% 44.70/7.82 % (19677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.70/7.82 % (19677)Termination reason: Unknown
% 44.70/7.82 % (19677)Termination phase: Saturation
% 44.70/7.82
% 44.70/7.82 % (19677)Memory used [KB]: 5884
% 44.70/7.82 % (19677)Time elapsed: 0.054 s
% 44.70/7.82 % (19677)Instructions burned: 102 (million)
% 44.70/7.82 % (19677)------------------------------
% 44.70/7.82 % (19677)------------------------------
% 44.70/7.83 % (19678)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_19410 for (2936ds/952Mi)
% 44.97/7.95 % (19668)Instruction limit reached!
% 44.97/7.95 % (19668)------------------------------
% 44.97/7.95 % (19668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.97/7.95 % (19668)Termination reason: Unknown
% 44.97/7.95 % (19668)Termination phase: Saturation
% 44.97/7.95
% 44.97/7.95 % (19668)Memory used [KB]: 7931
% 44.97/7.95 % (19668)Time elapsed: 0.808 s
% 44.97/7.95 % (19668)Instructions burned: 1672 (million)
% 44.97/7.95 % (19668)------------------------------
% 44.97/7.95 % (19668)------------------------------
% 44.97/7.97 % (19679)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_19410 for (2934ds/578Mi)
% 44.97/8.00 % (19655)Instruction limit reached!
% 44.97/8.00 % (19655)------------------------------
% 44.97/8.00 % (19655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.97/8.00 % (19655)Termination reason: Unknown
% 44.97/8.00 % (19655)Termination phase: Saturation
% 44.97/8.00
% 44.97/8.00 % (19655)Memory used [KB]: 9850
% 44.97/8.00 % (19655)Time elapsed: 1.675 s
% 44.97/8.00 % (19655)Instructions burned: 3374 (million)
% 44.97/8.00 % (19655)------------------------------
% 44.97/8.00 % (19655)------------------------------
% 44.97/8.01 % (19674)Instruction limit reached!
% 44.97/8.01 % (19674)------------------------------
% 44.97/8.01 % (19674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.97/8.01 % (19674)Termination reason: Unknown
% 44.97/8.01 % (19674)Termination phase: Saturation
% 44.97/8.01
% 44.97/8.01 % (19674)Memory used [KB]: 7547
% 44.97/8.01 % (19674)Time elapsed: 0.442 s
% 44.97/8.01 % (19674)Instructions burned: 866 (million)
% 44.97/8.01 % (19674)------------------------------
% 44.97/8.01 % (19674)------------------------------
% 44.97/8.02 % (19680)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_19410 for (2934ds/643Mi)
% 44.97/8.02 % (19681)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_19410 for (2934ds/865Mi)
% 48.59/8.23 % (19676)Instruction limit reached!
% 48.59/8.23 % (19676)------------------------------
% 48.59/8.23 % (19676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.59/8.23 % (19676)Termination reason: Unknown
% 48.59/8.23 % (19676)Termination phase: Saturation
% 48.59/8.23
% 48.59/8.23 % (19676)Memory used [KB]: 10106
% 48.59/8.23 % (19676)Time elapsed: 0.524 s
% 48.59/8.23 % (19676)Instructions burned: 1001 (million)
% 48.59/8.23 % (19676)------------------------------
% 48.59/8.23 % (19676)------------------------------
% 48.59/8.25 % (19682)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_19410 for (2932ds/1174Mi)
% 48.59/8.26 % (19679)Instruction limit reached!
% 48.59/8.26 % (19679)------------------------------
% 48.59/8.26 % (19679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.59/8.26 % (19679)Termination reason: Unknown
% 48.59/8.26 % (19679)Termination phase: Saturation
% 48.59/8.26
% 48.59/8.26 % (19679)Memory used [KB]: 6652
% 48.59/8.26 % (19679)Time elapsed: 0.293 s
% 48.59/8.26 % (19679)Instructions burned: 579 (million)
% 48.59/8.26 % (19679)------------------------------
% 48.59/8.26 % (19679)------------------------------
% 48.59/8.27 % (19683)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_19410 for (2931ds/644Mi)
% 49.00/8.31 % (19678)Instruction limit reached!
% 49.00/8.31 % (19678)------------------------------
% 49.00/8.31 % (19678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.00/8.31 % (19678)Termination reason: Unknown
% 49.00/8.31 % (19678)Termination phase: Saturation
% 49.00/8.31
% 49.00/8.31 % (19678)Memory used [KB]: 7931
% 49.00/8.31 % (19678)Time elapsed: 0.481 s
% 49.00/8.31 % (19678)Instructions burned: 952 (million)
% 49.00/8.31 % (19678)------------------------------
% 49.00/8.31 % (19678)------------------------------
% 49.00/8.33 % (19628)Instruction limit reached!
% 49.00/8.33 % (19628)------------------------------
% 49.00/8.33 % (19628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.00/8.33 % (19628)Termination reason: Unknown
% 49.00/8.33 % (19628)Termination phase: Saturation
% 49.00/8.33
% 49.00/8.33 % (19628)Memory used [KB]: 12281
% 49.00/8.33 % (19628)Time elapsed: 4.037 s
% 49.00/8.33 % (19628)Instructions burned: 8251 (million)
% 49.00/8.33 % (19628)------------------------------
% 49.00/8.33 % (19628)------------------------------
% 49.00/8.33 % (19684)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_19410 for (2931ds/1201Mi)
% 49.00/8.34 % (19680)Instruction limit reached!
% 49.00/8.34 % (19680)------------------------------
% 49.00/8.34 % (19680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.00/8.34 % (19680)Termination reason: Unknown
% 49.00/8.34 % (19680)Termination phase: Saturation
% 49.00/8.34
% 49.00/8.34 % (19680)Memory used [KB]: 6908
% 49.00/8.34 % (19680)Time elapsed: 0.322 s
% 49.00/8.34 % (19680)Instructions burned: 643 (million)
% 49.00/8.34 % (19680)------------------------------
% 49.00/8.34 % (19680)------------------------------
% 49.00/8.34 % (19685)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_19410 for (2931ds/1046Mi)
% 49.00/8.35 % (19686)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_19410 for (2931ds/222Mi)
% 49.51/8.44 % (19681)Instruction limit reached!
% 49.51/8.44 % (19681)------------------------------
% 49.51/8.44 % (19681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.51/8.44 % (19681)Termination reason: Unknown
% 49.51/8.44 % (19681)Termination phase: Saturation
% 49.51/8.44
% 49.51/8.44 % (19681)Memory used [KB]: 7803
% 49.51/8.44 % (19681)Time elapsed: 0.419 s
% 49.51/8.44 % (19681)Instructions burned: 865 (million)
% 49.51/8.44 % (19681)------------------------------
% 49.51/8.44 % (19681)------------------------------
% 49.51/8.46 % (19687)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_19410 for (2930ds/68Mi)
% 49.51/8.46 % (19686)Instruction limit reached!
% 49.51/8.46 % (19686)------------------------------
% 49.51/8.46 % (19686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.51/8.46 % (19686)Termination reason: Unknown
% 49.51/8.46 % (19686)Termination phase: Saturation
% 49.51/8.46
% 49.51/8.46 % (19686)Memory used [KB]: 6140
% 49.51/8.46 % (19686)Time elapsed: 0.112 s
% 49.51/8.46 % (19686)Instructions burned: 222 (million)
% 49.51/8.46 % (19686)------------------------------
% 49.51/8.46 % (19686)------------------------------
% 49.51/8.48 % (19688)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_19410 for (2929ds/454Mi)
% 49.51/8.49 % (19687)Instruction limit reached!
% 49.51/8.49 % (19687)------------------------------
% 49.51/8.49 % (19687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.51/8.49 % (19687)Termination reason: Unknown
% 49.51/8.49 % (19687)Termination phase: Saturation
% 49.51/8.49
% 49.51/8.49 % (19687)Memory used [KB]: 5884
% 49.51/8.49 % (19687)Time elapsed: 0.039 s
% 49.51/8.49 % (19687)Instructions burned: 69 (million)
% 49.51/8.49 % (19687)------------------------------
% 49.51/8.49 % (19687)------------------------------
% 50.22/8.51 % (19689)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_19410 for (2929ds/360Mi)
% 50.32/8.60 % (19683)Instruction limit reached!
% 50.32/8.60 % (19683)------------------------------
% 50.32/8.60 % (19683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.32/8.60 % (19683)Termination reason: Unknown
% 50.32/8.60 % (19683)Termination phase: Saturation
% 50.32/8.60
% 50.32/8.60 % (19683)Memory used [KB]: 7164
% 50.32/8.60 % (19683)Time elapsed: 0.326 s
% 50.32/8.60 % (19683)Instructions burned: 644 (million)
% 50.32/8.60 % (19683)------------------------------
% 50.32/8.60 % (19683)------------------------------
% 50.32/8.62 % (19690)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_19410 for (2928ds/157Mi)
% 50.32/8.69 % (19689)Instruction limit reached!
% 50.32/8.69 % (19689)------------------------------
% 50.32/8.69 % (19689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.32/8.69 % (19689)Termination reason: Unknown
% 50.32/8.69 % (19689)Termination phase: Saturation
% 50.32/8.69
% 50.32/8.69 % (19689)Memory used [KB]: 6652
% 50.32/8.69 % (19689)Time elapsed: 0.183 s
% 50.32/8.69 % (19689)Instructions burned: 360 (million)
% 50.32/8.69 % (19689)------------------------------
% 50.32/8.69 % (19689)------------------------------
% 50.32/8.69 % (19690)Instruction limit reached!
% 50.32/8.69 % (19690)------------------------------
% 50.32/8.69 % (19690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.32/8.69 % (19690)Termination reason: Unknown
% 50.32/8.69 % (19690)Termination phase: Saturation
% 50.32/8.69
% 50.32/8.69 % (19690)Memory used [KB]: 6396
% 50.32/8.69 % (19690)Time elapsed: 0.101 s
% 50.32/8.69 % (19690)Instructions burned: 157 (million)
% 50.32/8.69 % (19690)------------------------------
% 50.32/8.69 % (19690)------------------------------
% 51.06/8.71 % (19691)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_19410 for (2927ds/5061Mi)
% 51.06/8.71 % (19692)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_19410 for (2927ds/2401Mi)
% 51.06/8.71 % (19688)Instruction limit reached!
% 51.06/8.71 % (19688)------------------------------
% 51.06/8.71 % (19688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.06/8.71 % (19688)Termination reason: Unknown
% 51.06/8.71 % (19688)Termination phase: Saturation
% 51.06/8.71
% 51.06/8.71 % (19688)Memory used [KB]: 11897
% 51.06/8.71 % (19688)Time elapsed: 0.232 s
% 51.06/8.71 % (19688)Instructions burned: 454 (million)
% 51.06/8.71 % (19688)------------------------------
% 51.06/8.71 % (19688)------------------------------
% 51.06/8.73 % (19693)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_19410 for (2927ds/5798Mi)
% 51.40/8.83 % (19682)Instruction limit reached!
% 51.40/8.83 % (19682)------------------------------
% 51.40/8.83 % (19682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.40/8.83 % (19682)Termination reason: Unknown
% 51.40/8.83 % (19682)Termination phase: Saturation
% 51.40/8.83
% 51.40/8.83 % (19682)Memory used [KB]: 8059
% 51.40/8.83 % (19682)Time elapsed: 0.578 s
% 51.40/8.83 % (19682)Instructions burned: 1174 (million)
% 51.40/8.83 % (19682)------------------------------
% 51.40/8.83 % (19682)------------------------------
% 51.40/8.84 % (19694)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_19410 for (2926ds/346Mi)
% 51.40/8.88 % (19685)Instruction limit reached!
% 51.40/8.88 % (19685)------------------------------
% 51.40/8.88 % (19685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.40/8.88 % (19685)Termination reason: Unknown
% 51.40/8.88 % (19685)Termination phase: Saturation
% 51.40/8.88
% 51.40/8.88 % (19685)Memory used [KB]: 7164
% 51.40/8.88 % (19685)Time elapsed: 0.535 s
% 51.40/8.88 % (19685)Instructions burned: 1047 (million)
% 51.40/8.88 % (19685)------------------------------
% 51.40/8.88 % (19685)------------------------------
% 51.40/8.89 % (19695)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_19410 for (2925ds/1321Mi)
% 52.64/8.90 % (19684)Refutation not found, non-redundant clauses discarded% (19684)------------------------------
% 52.64/8.90 % (19684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.64/8.90 % (19684)Termination reason: Refutation not found, non-redundant clauses discarded
% 52.64/8.90
% 52.64/8.90 % (19684)Memory used [KB]: 7036
% 52.64/8.90 % (19684)Time elapsed: 0.572 s
% 52.64/8.90 % (19684)Instructions burned: 1148 (million)
% 52.64/8.90 % (19684)------------------------------
% 52.64/8.90 % (19684)------------------------------
% 52.64/8.92 % (19696)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_19410 for (2925ds/1312Mi)
% 52.64/9.01 % (19694)Instruction limit reached!
% 52.64/9.01 % (19694)------------------------------
% 52.64/9.01 % (19694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.64/9.01 % (19694)Termination reason: Unknown
% 52.64/9.01 % (19694)Termination phase: Saturation
% 52.64/9.01
% 52.64/9.01 % (19694)Memory used [KB]: 6524
% 52.64/9.01 % (19694)Time elapsed: 0.165 s
% 52.64/9.01 % (19694)Instructions burned: 346 (million)
% 52.64/9.01 % (19694)------------------------------
% 52.64/9.01 % (19694)------------------------------
% 52.64/9.02 % (19697)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_19410 for (2924ds/672Mi)
% 56.37/9.36 % (19697)Instruction limit reached!
% 56.37/9.36 % (19697)------------------------------
% 56.37/9.36 % (19697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.37/9.36 % (19697)Termination reason: Unknown
% 56.37/9.36 % (19697)Termination phase: Saturation
% 56.37/9.36
% 56.37/9.36 % (19697)Memory used [KB]: 7547
% 56.37/9.36 % (19697)Time elapsed: 0.336 s
% 56.37/9.36 % (19697)Instructions burned: 673 (million)
% 56.37/9.36 % (19697)------------------------------
% 56.37/9.36 % (19697)------------------------------
% 56.37/9.37 % (19698)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_19410 for (2920ds/1897Mi)
% 57.92/9.54 % (19695)Instruction limit reached!
% 57.92/9.54 % (19695)------------------------------
% 57.92/9.54 % (19695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.92/9.54 % (19695)Termination reason: Unknown
% 57.92/9.54 % (19695)Termination phase: Saturation
% 57.92/9.54
% 57.92/9.54 % (19695)Memory used [KB]: 2046
% 57.92/9.54 % (19695)Time elapsed: 0.644 s
% 57.92/9.54 % (19695)Instructions burned: 1321 (million)
% 57.92/9.54 % (19695)------------------------------
% 57.92/9.54 % (19695)------------------------------
% 57.92/9.55 % (19701)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_19410 for (2919ds/1202Mi)
% 57.92/9.57 % (19696)Instruction limit reached!
% 57.92/9.57 % (19696)------------------------------
% 57.92/9.57 % (19696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.92/9.57 % (19696)Termination reason: Unknown
% 57.92/9.57 % (19696)Termination phase: Saturation
% 57.92/9.57
% 57.92/9.57 % (19696)Memory used [KB]: 7803
% 57.92/9.57 % (19696)Time elapsed: 0.652 s
% 57.92/9.57 % (19696)Instructions burned: 1313 (million)
% 57.92/9.57 % (19696)------------------------------
% 57.92/9.57 % (19696)------------------------------
% 57.92/9.58 % (19702)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_19410 for (2918ds/1493Mi)
% 57.92/9.59 % (19702)Refutation not found, incomplete strategy
% 57.92/9.59 % (19702)------------------------------
% 57.92/9.59 % (19702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.92/9.59 % (19702)Termination reason: Refutation not found, incomplete strategy
% 57.92/9.59
% 57.92/9.59
% 57.92/9.59 % (19702)Memory used [KB]: 5628
% 57.92/9.59 % (19702)Time elapsed: 0.009 s
% 57.92/9.59 % (19702)Instructions burned: 13 (million)
% 57.92/9.59 % (19702)------------------------------
% 57.92/9.59 % (19702)------------------------------
% 58.46/9.61 % (19703)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_19410 for (2918ds/7679Mi)
% 59.68/9.90 % (19692)Instruction limit reached!
% 59.68/9.90 % (19692)------------------------------
% 59.68/9.90 % (19692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.68/9.90 % (19692)Termination reason: Unknown
% 59.68/9.90 % (19692)Termination phase: Saturation
% 59.68/9.90
% 59.68/9.90 % (19692)Memory used [KB]: 12792
% 59.68/9.90 % (19692)Time elapsed: 1.215 s
% 59.68/9.90 % (19692)Instructions burned: 2402 (million)
% 59.68/9.90 % (19692)------------------------------
% 59.68/9.90 % (19692)------------------------------
% 59.68/9.92 % (19704)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_19410 for (2915ds/340Mi)
% 61.75/10.10 % (19704)Instruction limit reached!
% 61.75/10.10 % (19704)------------------------------
% 61.75/10.10 % (19704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.75/10.10 % (19704)Termination reason: Unknown
% 61.75/10.10 % (19704)Termination phase: Saturation
% 61.75/10.10
% 61.75/10.10 % (19704)Memory used [KB]: 7291
% 61.75/10.10 % (19704)Time elapsed: 0.180 s
% 61.75/10.10 % (19704)Instructions burned: 341 (million)
% 61.75/10.10 % (19704)------------------------------
% 61.75/10.10 % (19704)------------------------------
% 61.75/10.11 % (19705)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_19410 for (2913ds/3672Mi)
% 62.42/10.16 % (19701)Instruction limit reached!
% 62.42/10.16 % (19701)------------------------------
% 62.42/10.16 % (19701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.42/10.16 % (19701)Termination reason: Unknown
% 62.42/10.16 % (19701)Termination phase: Saturation
% 62.42/10.16
% 62.42/10.16 % (19701)Memory used [KB]: 3326
% 62.42/10.16 % (19701)Time elapsed: 0.611 s
% 62.42/10.16 % (19701)Instructions burned: 1202 (million)
% 62.42/10.16 % (19701)------------------------------
% 62.42/10.16 % (19701)------------------------------
% 62.42/10.18 % (19706)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_19410 for (2912ds/1535Mi)
% 63.31/10.30 % (19698)Instruction limit reached!
% 63.31/10.30 % (19698)------------------------------
% 63.31/10.30 % (19698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.31/10.30 % (19698)Termination reason: Unknown
% 63.31/10.30 % (19698)Termination phase: Saturation
% 63.31/10.30
% 63.31/10.30 % (19698)Memory used [KB]: 8571
% 63.31/10.30 % (19698)Time elapsed: 0.931 s
% 63.31/10.30 % (19698)Instructions burned: 1898 (million)
% 63.31/10.30 % (19698)------------------------------
% 63.31/10.30 % (19698)------------------------------
% 63.31/10.32 % (19707)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_19410 for (2911ds/4637Mi)
% 64.11/10.51 % (19672)Instruction limit reached!
% 64.11/10.51 % (19672)------------------------------
% 64.11/10.51 % (19672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.11/10.51 % (19672)Termination reason: Unknown
% 64.11/10.51 % (19672)Termination phase: Saturation
% 64.11/10.51
% 64.11/10.51 % (19672)Memory used [KB]: 11897
% 64.11/10.51 % (19672)Time elapsed: 3.143 s
% 64.11/10.51 % (19672)Instructions burned: 6454 (million)
% 64.11/10.51 % (19672)------------------------------
% 64.11/10.51 % (19672)------------------------------
% 64.11/10.52 % (19708)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_19410 for (2909ds/3174Mi)
% 65.35/10.93 % (19706)Instruction limit reached!
% 65.35/10.93 % (19706)------------------------------
% 65.35/10.93 % (19706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.35/10.93 % (19706)Termination reason: Unknown
% 65.35/10.93 % (19706)Termination phase: Saturation
% 65.35/10.93
% 65.35/10.93 % (19706)Memory used [KB]: 8955
% 65.35/10.93 % (19706)Time elapsed: 0.756 s
% 65.35/10.93 % (19706)Instructions burned: 1535 (million)
% 65.35/10.93 % (19706)------------------------------
% 65.35/10.93 % (19706)------------------------------
% 65.35/10.95 % (19709)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_19410 for (2905ds/307Mi)
% 68.75/11.10 % (19709)Instruction limit reached!
% 68.75/11.10 % (19709)------------------------------
% 68.75/11.10 % (19709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.75/11.10 % (19709)Termination reason: Unknown
% 68.75/11.10 % (19709)Termination phase: Saturation
% 68.75/11.10
% 68.75/11.10 % (19709)Memory used [KB]: 6140
% 68.75/11.10 % (19709)Time elapsed: 0.155 s
% 68.75/11.10 % (19709)Instructions burned: 308 (million)
% 68.75/11.10 % (19709)------------------------------
% 68.75/11.10 % (19709)------------------------------
% 68.75/11.12 % (19710)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_19410 for (2903ds/3619Mi)
% 69.83/11.25 % (19691)Instruction limit reached!
% 69.83/11.25 % (19691)------------------------------
% 69.83/11.25 % (19691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.83/11.25 % (19691)Termination reason: Unknown
% 69.83/11.25 % (19691)Termination phase: Saturation
% 69.83/11.25
% 69.83/11.25 % (19691)Memory used [KB]: 11897
% 69.83/11.25 % (19691)Time elapsed: 2.562 s
% 69.83/11.25 % (19691)Instructions burned: 5061 (million)
% 69.83/11.25 % (19691)------------------------------
% 69.83/11.25 % (19691)------------------------------
% 69.83/11.27 % (19711)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_19410 for (2902ds/2325Mi)
% 71.39/11.51 % (19693)Instruction limit reached!
% 71.39/11.51 % (19693)------------------------------
% 71.39/11.51 % (19693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.39/11.51 % (19693)Termination reason: Unknown
% 71.39/11.51 % (19693)Termination phase: Saturation
% 71.39/11.51
% 71.39/11.51 % (19693)Memory used [KB]: 7419
% 71.39/11.51 % (19693)Time elapsed: 2.781 s
% 71.39/11.51 % (19693)Instructions burned: 5799 (million)
% 71.39/11.51 % (19693)------------------------------
% 71.39/11.51 % (19693)------------------------------
% 71.39/11.52 % (19712)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_19410 for (2899ds/2341Mi)
% 73.02/11.95 % (19705)Instruction limit reached!
% 73.02/11.95 % (19705)------------------------------
% 73.02/11.95 % (19705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 73.02/11.95 % (19705)Termination reason: Unknown
% 73.02/11.95 % (19705)Termination phase: Saturation
% 73.02/11.95
% 73.02/11.95 % (19705)Memory used [KB]: 12281
% 73.02/11.95 % (19705)Time elapsed: 1.836 s
% 73.02/11.95 % (19705)Instructions burned: 3672 (million)
% 73.02/11.95 % (19705)------------------------------
% 73.02/11.95 % (19705)------------------------------
% 73.02/11.97 % (19713)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_19410 for (2895ds/7257Mi)
% 75.68/12.09 % (19708)Instruction limit reached!
% 75.68/12.09 % (19708)------------------------------
% 75.68/12.09 % (19708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.68/12.09 % (19708)Termination reason: Unknown
% 75.68/12.09 % (19708)Termination phase: Saturation
% 75.68/12.09
% 75.68/12.09 % (19708)Memory used [KB]: 8827
% 75.68/12.09 % (19708)Time elapsed: 1.573 s
% 75.68/12.09 % (19708)Instructions burned: 3175 (million)
% 75.68/12.09 % (19708)------------------------------
% 75.68/12.09 % (19708)------------------------------
% 75.68/12.11 % (19714)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_19410 for (2893ds/3710Mi)
% 77.40/12.38 % (19707)Instruction limit reached!
% 77.40/12.38 % (19707)------------------------------
% 77.40/12.38 % (19707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.40/12.38 % (19707)Termination reason: Unknown
% 77.40/12.38 % (19707)Termination phase: Saturation
% 77.40/12.38
% 77.40/12.38 % (19707)Memory used [KB]: 7931
% 77.40/12.38 % (19707)Time elapsed: 2.073 s
% 77.40/12.38 % (19707)Instructions burned: 4638 (million)
% 77.40/12.38 % (19707)------------------------------
% 77.40/12.38 % (19707)------------------------------
% 77.99/12.40 % (19715)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_19410 for (2890ds/326Mi)
% 77.99/12.41 % (19711)Refutation not found, non-redundant clauses discarded% (19711)------------------------------
% 77.99/12.41 % (19711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.99/12.41 % (19711)Termination reason: Refutation not found, non-redundant clauses discarded
% 77.99/12.41
% 77.99/12.41 % (19711)Memory used [KB]: 8571
% 77.99/12.41 % (19711)Time elapsed: 1.145 s
% 77.99/12.41 % (19711)Instructions burned: 2264 (million)
% 77.99/12.41 % (19711)------------------------------
% 77.99/12.41 % (19711)------------------------------
% 77.99/12.43 % (19716)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_19410 for (2890ds/1100Mi)
% 78.42/12.54 % (19715)Instruction limit reached!
% 78.42/12.54 % (19715)------------------------------
% 78.42/12.54 % (19715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.42/12.54 % (19715)Termination reason: Unknown
% 78.42/12.54 % (19715)Termination phase: Saturation
% 78.42/12.54
% 78.42/12.54 % (19715)Memory used [KB]: 6396
% 78.42/12.54 % (19715)Time elapsed: 0.142 s
% 78.42/12.54 % (19715)Instructions burned: 327 (million)
% 78.42/12.54 % (19715)------------------------------
% 78.42/12.54 % (19715)------------------------------
% 78.42/12.56 % (19717)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_19410 for (2889ds/406Mi)
% 79.37/12.70 % (19712)Instruction limit reached!
% 79.37/12.70 % (19712)------------------------------
% 79.37/12.70 % (19712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.37/12.70 % (19712)Termination reason: Unknown
% 79.37/12.70 % (19712)Termination phase: Saturation
% 79.37/12.70
% 79.37/12.70 % (19712)Memory used [KB]: 8699
% 79.37/12.70 % (19712)Time elapsed: 1.196 s
% 79.37/12.70 % (19712)Instructions burned: 2342 (million)
% 79.37/12.70 % (19712)------------------------------
% 79.37/12.70 % (19712)------------------------------
% 79.37/12.72 % (19718)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_19410 for (2887ds/1871Mi)
% 79.37/12.76 % (19717)Instruction limit reached!
% 79.37/12.76 % (19717)------------------------------
% 79.37/12.76 % (19717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.37/12.76 % (19717)Termination reason: Unknown
% 79.37/12.76 % (19717)Termination phase: Saturation
% 79.37/12.76
% 79.37/12.76 % (19717)Memory used [KB]: 6780
% 79.37/12.76 % (19717)Time elapsed: 0.208 s
% 79.37/12.76 % (19717)Instructions burned: 406 (million)
% 79.37/12.76 % (19717)------------------------------
% 79.37/12.76 % (19717)------------------------------
% 79.37/12.78 % (19719)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_19410 for (2886ds/1194Mi)
% 79.37/12.78 % (19710)Instruction limit reached!
% 79.37/12.78 % (19710)------------------------------
% 79.37/12.78 % (19710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.37/12.78 % (19710)Termination reason: Unknown
% 79.37/12.78 % (19710)Termination phase: Saturation
% 79.37/12.78
% 79.37/12.78 % (19710)Memory used [KB]: 11513
% 79.37/12.78 % (19710)Time elapsed: 1.666 s
% 79.37/12.78 % (19710)Instructions burned: 3620 (million)
% 79.37/12.78 % (19710)------------------------------
% 79.37/12.78 % (19710)------------------------------
% 79.91/12.80 % (19720)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_19410 for (2886ds/474Mi)
% 80.11/12.97 % (19716)Instruction limit reached!
% 80.11/12.97 % (19716)------------------------------
% 80.11/12.97 % (19716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 80.11/12.97 % (19716)Termination reason: Unknown
% 80.11/12.97 % (19716)Termination phase: Saturation
% 80.11/12.97
% 80.11/12.97 % (19716)Memory used [KB]: 7675
% 80.11/12.97 % (19716)Time elapsed: 0.542 s
% 80.11/12.97 % (19716)Instructions burned: 1101 (million)
% 80.11/12.97 % (19716)------------------------------
% 80.11/12.97 % (19716)------------------------------
% 80.11/12.98 % (19721)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_19410 for (2884ds/3115Mi)
% 80.11/13.03 % (19720)Instruction limit reached!
% 80.11/13.03 % (19720)------------------------------
% 80.11/13.03 % (19720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 80.11/13.03 % (19720)Termination reason: Unknown
% 80.11/13.03 % (19720)Termination phase: Saturation
% 80.11/13.03
% 80.11/13.03 % (19720)Memory used [KB]: 6652
% 80.11/13.03 % (19720)Time elapsed: 0.228 s
% 80.11/13.03 % (19720)Instructions burned: 475 (million)
% 80.11/13.03 % (19720)------------------------------
% 80.11/13.03 % (19720)------------------------------
% 82.71/13.04 % (19722)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_19410 for (2884ds/831Mi)
% 83.73/13.21 % (19703)Instruction limit reached!
% 83.73/13.21 % (19703)------------------------------
% 83.73/13.21 % (19703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.73/13.21 % (19703)Termination reason: Unknown
% 83.73/13.21 % (19703)Termination phase: Saturation
% 83.73/13.21
% 83.73/13.21 % (19703)Memory used [KB]: 15223
% 83.73/13.21 % (19703)Time elapsed: 3.605 s
% 83.73/13.21 % (19703)Instructions burned: 7680 (million)
% 83.73/13.21 % (19703)------------------------------
% 83.73/13.21 % (19703)------------------------------
% 83.73/13.23 % (19723)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_19410 for (2882ds/1188Mi)
% 84.26/13.37 % (19719)Instruction limit reached!
% 84.26/13.37 % (19719)------------------------------
% 84.26/13.37 % (19719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.26/13.37 % (19719)Termination reason: Unknown
% 84.26/13.37 % (19719)Termination phase: Saturation
% 84.26/13.37
% 84.26/13.37 % (19719)Memory used [KB]: 7164
% 84.26/13.37 % (19719)Time elapsed: 0.589 s
% 84.26/13.37 % (19719)Instructions burned: 1194 (million)
% 84.26/13.37 % (19719)------------------------------
% 84.26/13.37 % (19719)------------------------------
% 84.26/13.38 % (19724)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_19410 for (2880ds/2868Mi)
% 84.26/13.39 % (19724)Refutation not found, incomplete strategy
% 84.26/13.39 % (19724)------------------------------
% 84.26/13.39 % (19724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.26/13.39 % (19724)Termination reason: Refutation not found, incomplete strategy
% 84.26/13.39
% 84.26/13.39
% 84.26/13.39 % (19724)Memory used [KB]: 5628
% 84.26/13.39 % (19724)Time elapsed: 0.032 s
% 84.26/13.39 % (19724)Instructions burned: 17 (million)
% 84.26/13.39 % (19724)------------------------------
% 84.26/13.39 % (19724)------------------------------
% 84.76/13.41 % (19725)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_19410 for (2880ds/1516Mi)
% 84.76/13.46 % (19722)Instruction limit reached!
% 84.76/13.46 % (19722)------------------------------
% 84.76/13.46 % (19722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.76/13.46 % (19722)Termination reason: Unknown
% 84.76/13.46 % (19722)Termination phase: Saturation
% 84.76/13.46
% 84.76/13.46 % (19722)Memory used [KB]: 7164
% 84.76/13.46 % (19722)Time elapsed: 0.415 s
% 84.76/13.46 % (19722)Instructions burned: 831 (million)
% 84.76/13.46 % (19722)------------------------------
% 84.76/13.46 % (19722)------------------------------
% 84.76/13.47 % (19726)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_19410 for (2880ds/2321Mi)
% 84.76/13.48 % (19726)Refutation not found, incomplete strategy
% 84.76/13.48 % (19726)------------------------------
% 84.76/13.48 % (19726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.76/13.48 % (19726)Termination reason: Refutation not found, incomplete strategy
% 84.76/13.48
% 84.76/13.48
% 84.76/13.48 % (19726)Memory used [KB]: 5628
% 84.76/13.48 % (19726)Time elapsed: 0.031 s
% 84.76/13.48 % (19726)Instructions burned: 10 (million)
% 84.76/13.48 % (19726)------------------------------
% 84.76/13.48 % (19726)------------------------------
% 84.76/13.50 % (19727)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_19410 for (2879ds/2812Mi)
% 86.00/13.67 % (19718)Instruction limit reached!
% 86.00/13.67 % (19718)------------------------------
% 86.00/13.67 % (19718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.00/13.67 % (19718)Termination reason: Unknown
% 86.00/13.67 % (19718)Termination phase: Saturation
% 86.00/13.67
% 86.00/13.67 % (19718)Memory used [KB]: 8955
% 86.00/13.67 % (19718)Time elapsed: 0.962 s
% 86.00/13.67 % (19718)Instructions burned: 1871 (million)
% 86.00/13.67 % (19718)------------------------------
% 86.00/13.67 % (19718)------------------------------
% 86.00/13.69 % (19728)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_19410 for (2877ds/4604Mi)
% 86.68/13.80 % (19723)Instruction limit reached!
% 86.68/13.80 % (19723)------------------------------
% 86.68/13.80 % (19723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.68/13.80 % (19723)Termination reason: Unknown
% 86.68/13.80 % (19723)Termination phase: Saturation
% 86.68/13.80
% 86.68/13.80 % (19723)Memory used [KB]: 8699
% 86.68/13.80 % (19723)Time elapsed: 0.597 s
% 86.68/13.80 % (19723)Instructions burned: 1188 (million)
% 86.68/13.80 % (19723)------------------------------
% 86.68/13.80 % (19723)------------------------------
% 86.68/13.82 % (19729)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_19410 for (2876ds/2678Mi)
% 87.57/13.95 % (19714)Instruction limit reached!
% 87.57/13.95 % (19714)------------------------------
% 87.57/13.95 % (19714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.57/13.95 % (19714)Termination reason: Unknown
% 87.57/13.95 % (19714)Termination phase: Saturation
% 87.57/13.95
% 87.57/13.95 % (19714)Memory used [KB]: 11001
% 87.57/13.95 % (19714)Time elapsed: 1.840 s
% 87.57/13.95 % (19714)Instructions burned: 3711 (million)
% 87.57/13.95 % (19714)------------------------------
% 87.57/13.95 % (19714)------------------------------
% 87.57/13.97 % (19730)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_19410 for (2874ds/643Mi)
% 90.38/14.17 % (19725)Instruction limit reached!
% 90.38/14.17 % (19725)------------------------------
% 90.38/14.17 % (19725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.38/14.17 % (19725)Termination reason: Unknown
% 90.38/14.17 % (19725)Termination phase: Saturation
% 90.38/14.17
% 90.38/14.17 % (19725)Memory used [KB]: 8571
% 90.38/14.17 % (19725)Time elapsed: 0.788 s
% 90.38/14.17 % (19725)Instructions burned: 1517 (million)
% 90.38/14.17 % (19725)------------------------------
% 90.38/14.17 % (19725)------------------------------
% 90.38/14.19 % (19731)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_19410 for (2872ds/458Mi)
% 90.88/14.29 % (19730)Instruction limit reached!
% 90.88/14.29 % (19730)------------------------------
% 90.88/14.29 % (19730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.88/14.29 % (19730)Termination reason: Unknown
% 90.88/14.29 % (19730)Termination phase: Saturation
% 90.88/14.29
% 90.88/14.29 % (19730)Memory used [KB]: 6908
% 90.88/14.29 % (19730)Time elapsed: 0.321 s
% 90.88/14.29 % (19730)Instructions burned: 644 (million)
% 90.88/14.29 % (19730)------------------------------
% 90.88/14.29 % (19730)------------------------------
% 91.47/14.30 % (19732)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_19410 for (2871ds/2546Mi)
% 91.97/14.42 % (19731)Instruction limit reached!
% 91.97/14.42 % (19731)------------------------------
% 91.97/14.42 % (19731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.97/14.42 % (19731)Termination reason: Unknown
% 91.97/14.42 % (19731)Termination phase: Saturation
% 91.97/14.42
% 91.97/14.42 % (19731)Memory used [KB]: 6780
% 91.97/14.42 % (19731)Time elapsed: 0.233 s
% 91.97/14.42 % (19731)Instructions burned: 458 (million)
% 91.97/14.42 % (19731)------------------------------
% 91.97/14.42 % (19731)------------------------------
% 91.97/14.44 % (19733)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_19410 for (2870ds/1432Mi)
% 91.97/14.46 % (19721)Instruction limit reached!
% 91.97/14.46 % (19721)------------------------------
% 91.97/14.46 % (19721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.97/14.46 % (19721)Termination reason: Unknown
% 91.97/14.46 % (19721)Termination phase: Saturation
% 91.97/14.46
% 91.97/14.46 % (19721)Memory used [KB]: 11897
% 91.97/14.46 % (19721)Time elapsed: 1.475 s
% 91.97/14.46 % (19721)Instructions burned: 3117 (million)
% 91.97/14.46 % (19721)------------------------------
% 91.97/14.46 % (19721)------------------------------
% 91.97/14.47 % (19734)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_19410 for (2869ds/386Mi)
% 93.08/14.65 % (19734)Instruction limit reached!
% 93.08/14.65 % (19734)------------------------------
% 93.08/14.65 % (19734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.08/14.65 % (19734)Termination reason: Unknown
% 93.08/14.65 % (19734)Termination phase: Saturation
% 93.08/14.65
% 93.08/14.65 % (19734)Memory used [KB]: 6524
% 93.08/14.65 % (19734)Time elapsed: 0.183 s
% 93.08/14.65 % (19734)Instructions burned: 386 (million)
% 93.08/14.65 % (19734)------------------------------
% 93.08/14.65 % (19734)------------------------------
% 93.08/14.67 % (19735)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_19410 for (2867ds/360Mi)
% 94.06/14.84 % (19735)Instruction limit reached!
% 94.06/14.84 % (19735)------------------------------
% 94.06/14.84 % (19735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.06/14.84 % (19735)Termination reason: Unknown
% 94.06/14.84 % (19735)Termination phase: Saturation
% 94.06/14.84
% 94.06/14.84 % (19735)Memory used [KB]: 6268
% 94.06/14.84 % (19735)Time elapsed: 0.175 s
% 94.06/14.84 % (19735)Instructions burned: 360 (million)
% 94.06/14.84 % (19735)------------------------------
% 94.06/14.84 % (19735)------------------------------
% 94.06/14.86 % (19736)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_19410 for (2866ds/5446Mi)
% 94.64/14.92 % (19727)Instruction limit reached!
% 94.64/14.92 % (19727)------------------------------
% 94.64/14.92 % (19727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.64/14.92 % (19727)Termination reason: Unknown
% 94.64/14.92 % (19727)Termination phase: Saturation
% 94.64/14.92
% 94.64/14.92 % (19727)Memory used [KB]: 8955
% 94.64/14.92 % (19727)Time elapsed: 1.425 s
% 94.64/14.92 % (19727)Instructions burned: 2813 (million)
% 94.64/14.92 % (19727)------------------------------
% 94.64/14.92 % (19727)------------------------------
% 94.64/14.94 % (19737)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_19410 for (2865ds/2573Mi)
% 96.70/15.11 % (19733)Instruction limit reached!
% 96.70/15.11 % (19733)------------------------------
% 96.70/15.11 % (19733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.70/15.11 % (19733)Termination reason: Unknown
% 96.70/15.11 % (19733)Termination phase: Saturation
% 96.70/15.11
% 96.70/15.11 % (19733)Memory used [KB]: 9210
% 96.70/15.11 % (19733)Time elapsed: 0.672 s
% 96.70/15.11 % (19733)Instructions burned: 1432 (million)
% 96.70/15.11 % (19733)------------------------------
% 96.70/15.11 % (19733)------------------------------
% 96.70/15.13 % (19738)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_19410 for (2863ds/2655Mi)
% 97.39/15.17 % (19729)Instruction limit reached!
% 97.39/15.17 % (19729)------------------------------
% 97.39/15.17 % (19729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.39/15.17 % (19729)Termination reason: Unknown
% 97.39/15.17 % (19729)Termination phase: Saturation
% 97.39/15.17
% 97.39/15.17 % (19729)Memory used [KB]: 10234
% 97.39/15.17 % (19729)Time elapsed: 1.353 s
% 97.39/15.17 % (19729)Instructions burned: 2679 (million)
% 97.39/15.17 % (19729)------------------------------
% 97.39/15.17 % (19729)------------------------------
% 97.39/15.19 % (19739)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_19410 for (2862ds/2781Mi)
% 99.23/15.60 % (19713)Instruction limit reached!
% 99.23/15.60 % (19713)------------------------------
% 99.23/15.60 % (19713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.23/15.60 % (19713)Termination reason: Unknown
% 99.23/15.60 % (19713)Termination phase: Saturation
% 99.23/15.60
% 99.23/15.60 % (19713)Memory used [KB]: 15863
% 99.23/15.60 % (19713)Time elapsed: 3.632 s
% 99.23/15.60 % (19713)Instructions burned: 7257 (million)
% 99.23/15.60 % (19713)------------------------------
% 99.23/15.60 % (19713)------------------------------
% 99.72/15.60 % (19732)Instruction limit reached!
% 99.72/15.60 % (19732)------------------------------
% 99.72/15.60 % (19732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.72/15.60 % (19732)Termination reason: Unknown
% 99.72/15.60 % (19732)Termination phase: Saturation
% 99.72/15.60
% 99.72/15.60 % (19732)Memory used [KB]: 9978
% 99.72/15.60 % (19732)Time elapsed: 1.302 s
% 99.72/15.60 % (19732)Instructions burned: 2546 (million)
% 99.72/15.60 % (19732)------------------------------
% 99.72/15.60 % (19732)------------------------------
% 99.72/15.62 % (19740)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_19410 for (2858ds/307Mi)
% 99.72/15.62 % (19741)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_19410 for (2858ds/1548Mi)
% 100.06/15.76 % (19740)Instruction limit reached!
% 100.06/15.76 % (19740)------------------------------
% 100.06/15.76 % (19740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.06/15.76 % (19740)Termination reason: Unknown
% 100.06/15.76 % (19740)Termination phase: Saturation
% 100.06/15.76
% 100.06/15.76 % (19740)Memory used [KB]: 6140
% 100.06/15.76 % (19740)Time elapsed: 0.152 s
% 100.06/15.76 % (19740)Instructions burned: 308 (million)
% 100.06/15.76 % (19740)------------------------------
% 100.06/15.76 % (19740)------------------------------
% 100.06/15.78 % (19743)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_19410 for (2856ds/5214Mi)
% 100.85/15.95 % (19728)Instruction limit reached!
% 100.85/15.95 % (19728)------------------------------
% 100.85/15.95 % (19728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.85/15.95 % (19728)Termination reason: Unknown
% 100.85/15.95 % (19728)Termination phase: Saturation
% 100.85/15.95
% 100.85/15.95 % (19728)Memory used [KB]: 13688
% 100.85/15.95 % (19728)Time elapsed: 2.261 s
% 100.85/15.95 % (19728)Instructions burned: 4604 (million)
% 100.85/15.95 % (19728)------------------------------
% 100.85/15.95 % (19728)------------------------------
% 100.85/15.96 % (19744)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_19410 for (2855ds/3201Mi)
% 104.84/16.21 % (19741)Instruction limit reached!
% 104.84/16.21 % (19741)------------------------------
% 104.84/16.21 % (19741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.84/16.21 % (19741)Termination reason: Unknown
% 104.84/16.21 % (19741)Termination phase: Saturation
% 104.84/16.21
% 104.84/16.21 % (19741)Memory used [KB]: 6396
% 104.84/16.21 % (19741)Time elapsed: 0.591 s
% 104.84/16.21 % (19741)Instructions burned: 1549 (million)
% 104.84/16.21 % (19741)------------------------------
% 104.84/16.21 % (19741)------------------------------
% 104.84/16.23 % (19745)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_19410 for (2852ds/454Mi)
% 104.84/16.24 % (19737)Instruction limit reached!
% 104.84/16.24 % (19737)------------------------------
% 104.84/16.24 % (19737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.84/16.24 % (19737)Termination reason: Unknown
% 104.84/16.24 % (19737)Termination phase: Saturation
% 104.84/16.24
% 104.84/16.24 % (19737)Memory used [KB]: 10874
% 104.84/16.24 % (19737)Time elapsed: 1.312 s
% 104.84/16.24 % (19737)Instructions burned: 2573 (million)
% 104.84/16.24 % (19737)------------------------------
% 104.84/16.24 % (19737)------------------------------
% 104.84/16.26 % (19746)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_19410 for (2852ds/3049Mi)
% 105.90/16.41 % (19738)Instruction limit reached!
% 105.90/16.41 % (19738)------------------------------
% 105.90/16.41 % (19738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.90/16.41 % (19738)Termination reason: Unknown
% 105.90/16.41 % (19738)Termination phase: Saturation
% 105.90/16.41
% 105.90/16.41 % (19738)Memory used [KB]: 21236
% 105.90/16.41 % (19738)Time elapsed: 1.275 s
% 105.90/16.41 % (19738)Instructions burned: 2656 (million)
% 105.90/16.41 % (19738)------------------------------
% 105.90/16.41 % (19738)------------------------------
% 105.90/16.43 % (19747)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_19410 for (2850ds/7311Mi)
% 105.90/16.46 % (19745)Instruction limit reached!
% 105.90/16.46 % (19745)------------------------------
% 105.90/16.46 % (19745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.90/16.46 % (19745)Termination reason: Unknown
% 105.90/16.46 % (19745)Termination phase: Saturation
% 105.90/16.46
% 105.90/16.46 % (19745)Memory used [KB]: 11769
% 105.90/16.46 % (19745)Time elapsed: 0.235 s
% 105.90/16.46 % (19745)Instructions burned: 455 (million)
% 105.90/16.46 % (19745)------------------------------
% 105.90/16.46 % (19745)------------------------------
% 105.90/16.48 % (19748)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_19410 for (2849ds/6804Mi)
% 106.58/16.57 % (19739)Instruction limit reached!
% 106.58/16.57 % (19739)------------------------------
% 106.58/16.57 % (19739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.58/16.57 % (19739)Termination reason: Unknown
% 106.58/16.57 % (19739)Termination phase: Saturation
% 106.58/16.57
% 106.58/16.57 % (19739)Memory used [KB]: 4605
% 106.58/16.57 % (19739)Time elapsed: 1.383 s
% 106.58/16.57 % (19739)Instructions burned: 2782 (million)
% 106.58/16.57 % (19739)------------------------------
% 106.58/16.57 % (19739)------------------------------
% 106.58/16.59 % (19749)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_19410 for (2848ds/1683Mi)
% 113.22/17.43 % (19749)Instruction limit reached!
% 113.22/17.43 % (19749)------------------------------
% 113.22/17.43 % (19749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.22/17.43 % (19749)Termination reason: Unknown
% 113.22/17.43 % (19749)Termination phase: Saturation
% 113.22/17.43
% 113.22/17.43 % (19749)Memory used [KB]: 7931
% 113.22/17.43 % (19749)Time elapsed: 0.845 s
% 113.22/17.43 % (19749)Instructions burned: 1684 (million)
% 113.22/17.43 % (19749)------------------------------
% 113.22/17.43 % (19749)------------------------------
% 113.22/17.45 % (19750)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_19410 for (2840ds/4688Mi)
% 113.22/17.47 % (19744)Instruction limit reached!
% 113.22/17.47 % (19744)------------------------------
% 113.22/17.47 % (19744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.22/17.47 % (19744)Termination reason: Unknown
% 113.22/17.47 % (19744)Termination phase: Saturation
% 113.22/17.47
% 113.22/17.47 % (19744)Memory used [KB]: 9466
% 113.22/17.47 % (19744)Time elapsed: 1.510 s
% 113.22/17.47 % (19744)Instructions burned: 3202 (million)
% 113.22/17.47 % (19744)------------------------------
% 113.22/17.47 % (19744)------------------------------
% 113.22/17.49 % (19751)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_19410 for (2839ds/2207Mi)
% 114.36/17.61 % (19736)Instruction limit reached!
% 114.36/17.61 % (19736)------------------------------
% 114.36/17.61 % (19736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.36/17.61 % (19736)Termination reason: Unknown
% 114.36/17.61 % (19736)Termination phase: Saturation
% 114.36/17.61
% 114.36/17.61 % (19736)Memory used [KB]: 12537
% 114.36/17.61 % (19736)Time elapsed: 2.746 s
% 114.36/17.61 % (19736)Instructions burned: 5446 (million)
% 114.36/17.61 % (19736)------------------------------
% 114.36/17.61 % (19736)------------------------------
% 114.36/17.62 % (19752)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=8216:si=on:rtra=on_0 on DTF2THF_19410 for (2838ds/8216Mi)
% 115.17/17.81 % (19746)Instruction limit reached!
% 115.17/17.81 % (19746)------------------------------
% 115.17/17.81 % (19746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.17/17.81 % (19746)Termination reason: Unknown
% 115.17/17.81 % (19746)Termination phase: Saturation
% 115.17/17.81
% 115.17/17.81 % (19746)Memory used [KB]: 10234
% 115.17/17.81 % (19746)Time elapsed: 1.546 s
% 115.17/17.81 % (19746)Instructions burned: 3050 (million)
% 115.17/17.81 % (19746)------------------------------
% 115.17/17.81 % (19746)------------------------------
% 115.17/17.82 % (19753)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_19410 for (2836ds/430Mi)
% 117.61/18.04 % (19743)Instruction limit reached!
% 117.61/18.04 % (19743)------------------------------
% 117.61/18.04 % (19743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.61/18.04 % (19743)Termination reason: Unknown
% 117.61/18.04 % (19743)Termination phase: Saturation
% 117.61/18.04
% 117.61/18.04 % (19743)Memory used [KB]: 8443
% 117.61/18.04 % (19743)Time elapsed: 2.262 s
% 117.61/18.04 % (19743)Instructions burned: 5215 (million)
% 117.61/18.04 % (19743)------------------------------
% 117.61/18.04 % (19743)------------------------------
% 117.61/18.06 % (19754)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_19410 for (2834ds/2012Mi)
% 117.61/18.06 % (19753)Instruction limit reached!
% 117.61/18.06 % (19753)------------------------------
% 117.61/18.06 % (19753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.61/18.06 % (19753)Termination reason: Unknown
% 117.61/18.06 % (19753)Termination phase: Saturation
% 117.61/18.06
% 117.61/18.06 % (19753)Memory used [KB]: 6908
% 117.61/18.06 % (19753)Time elapsed: 0.253 s
% 117.61/18.06 % (19753)Instructions burned: 430 (million)
% 117.61/18.06 % (19753)------------------------------
% 117.61/18.06 % (19753)------------------------------
% 117.61/18.08 % (19755)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_19410 for (2833ds/631Mi)
% 119.53/18.41 % (19755)Instruction limit reached!
% 119.53/18.41 % (19755)------------------------------
% 119.53/18.41 % (19755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.53/18.41 % (19755)Termination reason: Unknown
% 119.53/18.41 % (19755)Termination phase: Saturation
% 119.53/18.41
% 119.53/18.41 % (19755)Memory used [KB]: 7291
% 119.53/18.41 % (19755)Time elapsed: 0.328 s
% 119.53/18.41 % (19755)Instructions burned: 632 (million)
% 119.53/18.41 % (19755)------------------------------
% 119.53/18.41 % (19755)------------------------------
% 119.53/18.42 % (19756)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_19410 for (2830ds/8785Mi)
% 120.36/18.55 % (19751)Instruction limit reached!
% 120.36/18.55 % (19751)------------------------------
% 120.36/18.55 % (19751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 120.36/18.55 % (19751)Termination reason: Unknown
% 120.36/18.55 % (19751)Termination phase: Saturation
% 120.36/18.55
% 120.36/18.55 % (19751)Memory used [KB]: 7803
% 120.36/18.55 % (19751)Time elapsed: 1.066 s
% 120.36/18.55 % (19751)Instructions burned: 2207 (million)
% 120.36/18.55 % (19751)------------------------------
% 120.36/18.55 % (19751)------------------------------
% 120.36/18.57 % (19757)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_19410 for (2829ds/739Mi)
% 122.02/18.96 % (19757)Instruction limit reached!
% 122.02/18.96 % (19757)------------------------------
% 122.02/18.96 % (19757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.02/18.96 % (19757)Termination reason: Unknown
% 122.02/18.96 % (19757)Termination phase: Saturation
% 122.02/18.96
% 122.02/18.96 % (19757)Memory used [KB]: 6908
% 122.02/18.96 % (19757)Time elapsed: 0.390 s
% 122.02/18.96 % (19757)Instructions burned: 740 (million)
% 122.02/18.96 % (19757)------------------------------
% 122.02/18.96 % (19757)------------------------------
% 122.02/18.98 % (19758)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_19410 for (2824ds/5473Mi)
% 122.02/19.02 % (19754)Refutation not found, non-redundant clauses discarded% (19754)------------------------------
% 122.02/19.02 % (19754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.02/19.02 % (19754)Termination reason: Refutation not found, non-redundant clauses discarded
% 122.02/19.02
% 122.02/19.02 % (19754)Memory used [KB]: 17910
% 122.02/19.02 % (19754)Time elapsed: 0.964 s
% 122.02/19.02 % (19754)Instructions burned: 1950 (million)
% 122.02/19.02 % (19754)------------------------------
% 122.02/19.02 % (19754)------------------------------
% 124.58/19.04 % (19759)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_19410 for (2824ds/43570Mi)
% 124.58/19.07 % (19759)Refutation not found, incomplete strategy
% 124.58/19.07 % (19759)------------------------------
% 124.58/19.07 % (19759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 124.58/19.07 % (19759)Termination reason: Refutation not found, incomplete strategy
% 124.58/19.07
% 124.58/19.07
% 124.58/19.07 % (19759)Memory used [KB]: 5884
% 124.58/19.07 % (19759)Time elapsed: 0.056 s
% 124.58/19.07 % (19759)Instructions burned: 63 (million)
% 124.58/19.07 % (19759)------------------------------
% 124.58/19.07 % (19759)------------------------------
% 124.58/19.09 % (19760)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_19410 for (2823ds/8382Mi)
% 128.05/19.66 % (19750)Instruction limit reached!
% 128.05/19.66 % (19750)------------------------------
% 128.05/19.66 % (19750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 128.05/19.66 % (19750)Termination reason: Unknown
% 128.05/19.66 % (19750)Termination phase: Saturation
% 128.05/19.66
% 128.05/19.66 % (19750)Memory used [KB]: 4605
% 128.05/19.66 % (19750)Time elapsed: 2.215 s
% 128.05/19.66 % (19750)Instructions burned: 4689 (million)
% 128.05/19.66 % (19750)------------------------------
% 128.05/19.66 % (19750)------------------------------
% 128.05/19.68 % (19761)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_19410 for (2817ds/407Mi)
% 129.13/19.87 % (19748)Instruction limit reached!
% 129.13/19.87 % (19748)------------------------------
% 129.13/19.87 % (19748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.13/19.87 % (19748)Termination reason: Unknown
% 129.13/19.87 % (19748)Termination phase: Saturation
% 129.13/19.87
% 129.13/19.87 % (19748)Memory used [KB]: 13560
% 129.13/19.87 % (19748)Time elapsed: 3.394 s
% 129.13/19.87 % (19748)Instructions burned: 6804 (million)
% 129.13/19.87 % (19748)------------------------------
% 129.13/19.87 % (19748)------------------------------
% 129.13/19.88 % (19761)Instruction limit reached!
% 129.13/19.88 % (19761)------------------------------
% 129.13/19.88 % (19761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.13/19.88 % (19761)Termination reason: Unknown
% 129.13/19.88 % (19761)Termination phase: Saturation
% 129.13/19.88
% 129.13/19.88 % (19761)Memory used [KB]: 6396
% 129.13/19.88 % (19761)Time elapsed: 0.226 s
% 129.13/19.88 % (19761)Instructions burned: 407 (million)
% 129.13/19.88 % (19761)------------------------------
% 129.13/19.88 % (19761)------------------------------
% 129.13/19.89 % (19762)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_19410 for (2815ds/2971Mi)
% 129.13/19.89 % (19762)Refutation not found, incomplete strategy
% 129.13/19.89 % (19762)------------------------------
% 129.13/19.89 % (19762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.13/19.90 % (19762)Termination reason: Refutation not found, incomplete strategy
% 129.13/19.90
% 129.13/19.90
% 129.13/19.90 % (19762)Memory used [KB]: 5628
% 129.13/19.90 % (19762)Time elapsed: 0.011 s
% 129.13/19.90 % (19762)Instructions burned: 15 (million)
% 129.13/19.90 % (19762)------------------------------
% 129.13/19.90 % (19762)------------------------------
% 129.88/19.90 % (19763)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_19410 for (2815ds/9822Mi)
% 129.88/19.91 % (19764)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_19410 for (2815ds/8425Mi)
% 129.88/19.96 % (19763)Refutation not found, incomplete strategy
% 129.88/19.96 % (19763)------------------------------
% 129.88/19.96 % (19763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.88/19.96 % (19763)Termination reason: Refutation not found, incomplete strategy
% 129.88/19.96
% 129.88/19.96
% 129.88/19.96 % (19763)Memory used [KB]: 5884
% 129.88/19.96 % (19763)Time elapsed: 0.059 s
% 129.88/19.96 % (19763)Instructions burned: 111 (million)
% 129.88/19.96 % (19763)------------------------------
% 129.88/19.96 % (19763)------------------------------
% 129.88/19.97 % (19765)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_19410 for (2814ds/3107Mi)
% 129.88/20.02 % (19747)Instruction limit reached!
% 129.88/20.02 % (19747)------------------------------
% 129.88/20.02 % (19747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.88/20.02 % (19747)Termination reason: Unknown
% 129.88/20.02 % (19747)Termination phase: Saturation
% 129.88/20.02
% 129.88/20.02 % (19747)Memory used [KB]: 17526
% 129.88/20.02 % (19747)Time elapsed: 3.592 s
% 129.88/20.02 % (19747)Instructions burned: 7311 (million)
% 129.88/20.02 % (19747)------------------------------
% 129.88/20.02 % (19747)------------------------------
% 131.57/20.04 % (19766)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_19410 for (2814ds/7967Mi)
% 131.57/20.04 % (19766)Refutation not found, incomplete strategy
% 131.57/20.04 % (19766)------------------------------
% 131.57/20.04 % (19766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 131.57/20.04 % (19766)Termination reason: Refutation not found, incomplete strategy
% 131.57/20.04
% 131.57/20.04
% 131.57/20.04 % (19766)Memory used [KB]: 5628
% 131.57/20.04 % (19766)Time elapsed: 0.007 s
% 131.57/20.04 % (19766)Instructions burned: 11 (million)
% 131.57/20.04 % (19766)------------------------------
% 131.57/20.04 % (19766)------------------------------
% 131.57/20.06 % (19767)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_19410 for (2814ds/3629Mi)
% 140.45/21.36 % (19765)Instruction limit reached!
% 140.45/21.36 % (19765)------------------------------
% 140.45/21.36 % (19765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 140.45/21.36 % (19765)Termination reason: Unknown
% 140.45/21.36 % (19765)Termination phase: Saturation
% 140.45/21.36
% 140.45/21.36 % (19765)Memory used [KB]: 9466
% 140.45/21.36 % (19765)Time elapsed: 1.386 s
% 140.45/21.36 % (19765)Instructions burned: 3108 (million)
% 140.45/21.36 % (19765)------------------------------
% 140.45/21.36 % (19765)------------------------------
% 140.45/21.37 % (19768)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_19410 for (2800ds/939Mi)
% 141.74/21.53 % (19752)Instruction limit reached!
% 141.74/21.53 % (19752)------------------------------
% 141.74/21.53 % (19752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 141.74/21.53 % (19752)Termination reason: Unknown
% 141.74/21.53 % (19752)Termination phase: Saturation
% 141.74/21.53
% 141.74/21.53 % (19752)Memory used [KB]: 14328
% 141.74/21.53 % (19752)Time elapsed: 3.907 s
% 141.74/21.53 % (19752)Instructions burned: 8219 (million)
% 141.74/21.53 % (19752)------------------------------
% 141.74/21.53 % (19752)------------------------------
% 141.74/21.54 % (19769)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_19410 for (2799ds/1188Mi)
% 141.74/21.55 % (19758)Instruction limit reached!
% 141.74/21.55 % (19758)------------------------------
% 141.74/21.55 % (19758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 141.74/21.55 % (19758)Termination reason: Unknown
% 141.74/21.55 % (19758)Termination phase: Saturation
% 141.74/21.55
% 141.74/21.55 % (19758)Memory used [KB]: 11513
% 141.74/21.55 % (19758)Time elapsed: 2.581 s
% 141.74/21.55 % (19758)Instructions burned: 5475 (million)
% 141.74/21.55 % (19758)------------------------------
% 141.74/21.55 % (19758)------------------------------
% 141.74/21.56 % (19770)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_19410 for (2798ds/3205Mi)
% 142.24/21.67 % (19767)Instruction limit reached!
% 142.24/21.67 % (19767)------------------------------
% 142.24/21.67 % (19767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.24/21.67 % (19767)Termination reason: Unknown
% 142.24/21.67 % (19767)Termination phase: Saturation
% 142.24/21.67
% 142.24/21.67 % (19767)Memory used [KB]: 9338
% 142.24/21.67 % (19767)Time elapsed: 1.608 s
% 142.24/21.67 % (19767)Instructions burned: 3629 (million)
% 142.24/21.67 % (19767)------------------------------
% 142.24/21.67 % (19767)------------------------------
% 142.24/21.68 % (19771)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_19410 for (2797ds/865Mi)
% 142.24/21.68 % (19768)Instruction limit reached!
% 142.24/21.68 % (19768)------------------------------
% 142.24/21.68 % (19768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.24/21.68 % (19768)Termination reason: Unknown
% 142.24/21.68 % (19768)Termination phase: Saturation
% 142.24/21.68
% 142.24/21.68 % (19768)Memory used [KB]: 6908
% 142.24/21.68 % (19768)Time elapsed: 0.306 s
% 142.24/21.68 % (19768)Instructions burned: 939 (million)
% 142.24/21.68 % (19768)------------------------------
% 142.24/21.68 % (19768)------------------------------
% 142.24/21.69 % (19772)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_19410 for (2797ds/7469Mi)
% 143.21/21.89 % (19769)Instruction limit reached!
% 143.21/21.89 % (19769)------------------------------
% 143.21/21.89 % (19769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 143.21/21.89 % (19769)Termination reason: Unknown
% 143.21/21.89 % (19769)Termination phase: Saturation
% 143.21/21.89
% 143.21/21.89 % (19769)Memory used [KB]: 8699
% 143.21/21.89 % (19769)Time elapsed: 0.348 s
% 143.21/21.89 % (19769)Instructions burned: 1188 (million)
% 143.21/21.89 % (19769)------------------------------
% 143.21/21.89 % (19769)------------------------------
% 143.88/21.90 % (19773)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_19410 for (2795ds/4165Mi)
% 143.88/21.94 % (19771)Instruction limit reached!
% 143.88/21.94 % (19771)------------------------------
% 143.88/21.94 % (19771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 143.88/21.94 % (19771)Termination reason: Unknown
% 143.88/21.94 % (19771)Termination phase: Saturation
% 143.88/21.94
% 143.88/21.94 % (19771)Memory used [KB]: 7803
% 143.88/21.94 % (19771)Time elapsed: 0.263 s
% 143.88/21.94 % (19771)Instructions burned: 867 (million)
% 143.88/21.94 % (19771)------------------------------
% 143.88/21.94 % (19771)------------------------------
% 143.88/21.95 % (19774)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_19410 for (2795ds/13468Mi)
% 146.75/22.23 % (19756)Instruction limit reached!
% 146.75/22.23 % (19756)------------------------------
% 146.75/22.23 % (19756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 146.75/22.23 % (19756)Termination reason: Unknown
% 146.75/22.23 % (19756)Termination phase: Saturation
% 146.75/22.23
% 146.75/22.23 % (19756)Memory used [KB]: 13688
% 146.75/22.23 % (19756)Time elapsed: 3.811 s
% 146.75/22.23 % (19756)Instructions burned: 8786 (million)
% 146.75/22.23 % (19756)------------------------------
% 146.75/22.23 % (19756)------------------------------
% 146.75/22.24 % (19851)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_19410 for (2792ds/2635Mi)
% 148.60/22.53 % (19770)Instruction limit reached!
% 148.60/22.53 % (19770)------------------------------
% 148.60/22.53 % (19770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 148.60/22.53 % (19770)Termination reason: Unknown
% 148.60/22.53 % (19770)Termination phase: Saturation
% 148.60/22.53
% 148.60/22.53 % (19770)Memory used [KB]: 10362
% 148.60/22.53 % (19770)Time elapsed: 0.977 s
% 148.60/22.53 % (19770)Instructions burned: 3207 (million)
% 148.60/22.53 % (19770)------------------------------
% 148.60/22.53 % (19770)------------------------------
% 148.60/22.55 % (19978)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_19410 for (2789ds/631Mi)
% 148.60/22.55 % (19760)Instruction limit reached!
% 148.60/22.55 % (19760)------------------------------
% 148.60/22.55 % (19760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 148.60/22.55 % (19760)Termination reason: Unknown
% 148.60/22.55 % (19760)Termination phase: Saturation
% 148.60/22.55
% 148.60/22.55 % (19760)Memory used [KB]: 16502
% 148.60/22.55 % (19760)Time elapsed: 3.481 s
% 148.60/22.55 % (19760)Instructions burned: 8385 (million)
% 148.60/22.55 % (19760)------------------------------
% 148.60/22.55 % (19760)------------------------------
% 148.60/22.56 % (19987)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_19410 for (2789ds/15557Mi)
% 149.51/22.75 % (19978)Instruction limit reached!
% 149.51/22.75 % (19978)------------------------------
% 149.51/22.75 % (19978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.51/22.75 % (19978)Termination reason: Unknown
% 149.51/22.75 % (19978)Termination phase: Saturation
% 149.51/22.75
% 149.51/22.75 % (19978)Memory used [KB]: 6780
% 149.51/22.75 % (19978)Time elapsed: 0.206 s
% 149.51/22.75 % (19978)Instructions burned: 633 (million)
% 149.51/22.75 % (19978)------------------------------
% 149.51/22.75 % (19978)------------------------------
% 149.51/22.76 % (20007)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_19410 for (2787ds/2142Mi)
% 150.54/22.94 % (19851)Instruction limit reached!
% 150.54/22.94 % (19851)------------------------------
% 150.54/22.94 % (19851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.54/22.94 % (19851)Termination reason: Unknown
% 150.54/22.94 % (19851)Termination phase: Saturation
% 150.54/22.94
% 150.54/22.94 % (19851)Memory used [KB]: 7803
% 150.54/22.94 % (19851)Time elapsed: 0.694 s
% 150.54/22.94 % (19851)Instructions burned: 2635 (million)
% 150.54/22.94 % (19851)------------------------------
% 150.54/22.94 % (19851)------------------------------
% 150.54/22.94 % (19764)Instruction limit reached!
% 150.54/22.94 % (19764)------------------------------
% 150.54/22.94 % (19764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.54/22.94 % (19764)Termination reason: Unknown
% 150.54/22.94 % (19764)Termination phase: Saturation
% 150.54/22.94
% 150.54/22.94 % (19764)Memory used [KB]: 7419
% 150.54/22.94 % (19764)Time elapsed: 3.031 s
% 150.54/22.94 % (19764)Instructions burned: 8426 (million)
% 150.54/22.94 % (19764)------------------------------
% 150.54/22.94 % (19764)------------------------------
% 150.54/22.95 % (20008)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_19410 for (2785ds/5624Mi)
% 150.54/22.95 % (20009)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_19410 for (2785ds/1665Mi)
% 153.79/23.25 % (19773)Instruction limit reached!
% 153.79/23.25 % (19773)------------------------------
% 153.79/23.25 % (19773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 153.79/23.25 % (19773)Termination reason: Unknown
% 153.79/23.25 % (19773)Termination phase: Saturation
% 153.79/23.25
% 153.79/23.25 % (19773)Memory used [KB]: 9850
% 153.79/23.25 % (19773)Time elapsed: 1.357 s
% 153.79/23.25 % (19773)Instructions burned: 4167 (million)
% 153.79/23.25 % (19773)------------------------------
% 153.79/23.25 % (19773)------------------------------
% 153.79/23.26 % (20010)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_19410 for (2781ds/64912Mi)
% 153.79/23.28 % (20010)Refutation not found, incomplete strategy
% 153.79/23.28 % (20010)------------------------------
% 153.79/23.28 % (20010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 153.79/23.28 % (20010)Termination reason: Refutation not found, incomplete strategy
% 153.79/23.28
% 153.79/23.28
% 153.79/23.28 % (20010)Memory used [KB]: 1279
% 153.79/23.28 % (20010)Time elapsed: 0.018 s
% 153.79/23.28 % (20010)Instructions burned: 48 (million)
% 153.79/23.28 % (20010)------------------------------
% 153.79/23.28 % (20010)------------------------------
% 153.79/23.29 % (20012)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_19410 for (2781ds/7801Mi)
% 155.09/23.43 % (20007)Instruction limit reached!
% 155.09/23.43 % (20007)------------------------------
% 155.09/23.43 % (20007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 155.09/23.43 % (20007)Termination reason: Unknown
% 155.09/23.43 % (20007)Termination phase: Saturation
% 155.09/23.43
% 155.09/23.43 % (20007)Memory used [KB]: 8443
% 155.09/23.43 % (20007)Time elapsed: 0.675 s
% 155.09/23.43 % (20007)Instructions burned: 2143 (million)
% 155.09/23.43 % (20007)------------------------------
% 155.09/23.43 % (20007)------------------------------
% 155.09/23.44 % (20013)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_19410 for (2780ds/15194Mi)
% 155.09/23.46 % (20009)Instruction limit reached!
% 155.09/23.46 % (20009)------------------------------
% 155.09/23.46 % (20009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 155.09/23.46 % (20009)Termination reason: Unknown
% 155.09/23.46 % (20009)Termination phase: Saturation
% 155.09/23.46
% 155.09/23.46 % (20009)Memory used [KB]: 7291
% 155.09/23.46 % (20009)Time elapsed: 0.515 s
% 155.09/23.46 % (20009)Instructions burned: 1667 (million)
% 155.09/23.46 % (20009)------------------------------
% 155.09/23.46 % (20009)------------------------------
% 155.09/23.47 % (20014)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_19410 for (2779ds/6753Mi)
% 155.61/23.53 % (20014)Refutation not found, incomplete strategy
% 155.61/23.53 % (20014)------------------------------
% 155.61/23.53 % (20014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 155.61/23.53 % (20014)Termination reason: Refutation not found, incomplete strategy
% 155.61/23.53
% 155.61/23.53
% 155.61/23.53 % (20014)Memory used [KB]: 6012
% 155.61/23.53 % (20014)Time elapsed: 0.051 s
% 155.61/23.53 % (20014)Instructions burned: 152 (million)
% 155.61/23.53 % (20014)------------------------------
% 155.61/23.53 % (20014)------------------------------
% 155.61/23.54 % (20015)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_19410 for (2779ds/1003Mi)
% 156.88/23.85 % (20015)Instruction limit reached!
% 156.88/23.85 % (20015)------------------------------
% 156.88/23.85 % (20015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 156.88/23.85 % (20015)Termination reason: Unknown
% 156.88/23.85 % (20015)Termination phase: Saturation
% 156.88/23.85
% 156.88/23.85 % (20015)Memory used [KB]: 7164
% 156.88/23.85 % (20015)Time elapsed: 0.320 s
% 156.88/23.85 % (20015)Instructions burned: 1003 (million)
% 156.88/23.85 % (20015)------------------------------
% 156.88/23.85 % (20015)------------------------------
% 156.88/23.86 % (20016)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_19410 for (2775ds/13018Mi)
% 159.56/24.04 % (19772)Instruction limit reached!
% 159.56/24.04 % (19772)------------------------------
% 159.56/24.04 % (19772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 159.56/24.04 % (19772)Termination reason: Unknown
% 159.56/24.04 % (19772)Termination phase: Saturation
% 159.56/24.04
% 159.56/24.04 % (19772)Memory used [KB]: 12920
% 159.56/24.04 % (19772)Time elapsed: 2.352 s
% 159.56/24.04 % (19772)Instructions burned: 7470 (million)
% 159.56/24.04 % (19772)------------------------------
% 159.56/24.04 % (19772)------------------------------
% 159.56/24.05 % (20017)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_19410 for (2774ds/1267Mi)
% 161.87/24.45 % (20017)Instruction limit reached!
% 161.87/24.45 % (20017)------------------------------
% 161.87/24.45 % (20017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 161.87/24.45 % (20017)Termination reason: Unknown
% 161.87/24.45 % (20017)Termination phase: Saturation
% 161.87/24.45
% 161.87/24.45 % (20017)Memory used [KB]: 7803
% 161.87/24.45 % (20017)Time elapsed: 0.408 s
% 161.87/24.45 % (20017)Instructions burned: 1268 (million)
% 161.87/24.45 % (20017)------------------------------
% 161.87/24.45 % (20017)------------------------------
% 161.87/24.46 % (20018)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_19410 for (2769ds/2570Mi)
% 164.09/24.72 % (20008)Instruction limit reached!
% 164.09/24.72 % (20008)------------------------------
% 164.09/24.72 % (20008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 164.09/24.72 % (20008)Termination reason: Unknown
% 164.09/24.72 % (20008)Termination phase: Saturation
% 164.09/24.72
% 164.09/24.72 % (20008)Memory used [KB]: 11513
% 164.09/24.72 % (20008)Time elapsed: 1.774 s
% 164.09/24.72 % (20008)Instructions burned: 5625 (million)
% 164.09/24.72 % (20008)------------------------------
% 164.09/24.72 % (20008)------------------------------
% 164.09/24.73 % (20019)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_19410 for (2767ds/13163Mi)
% 167.80/25.23 % (20018)Instruction limit reached!
% 167.80/25.23 % (20018)------------------------------
% 167.80/25.23 % (20018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 167.80/25.23 % (20018)Termination reason: Unknown
% 167.80/25.23 % (20018)Termination phase: Saturation
% 167.80/25.23
% 167.80/25.23 % (20018)Memory used [KB]: 8571
% 167.80/25.23 % (20018)Time elapsed: 0.770 s
% 167.80/25.23 % (20018)Instructions burned: 2570 (million)
% 167.80/25.23 % (20018)------------------------------
% 167.80/25.23 % (20018)------------------------------
% 167.80/25.24 % (20020)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_19410 for (2762ds/5087Mi)
% 170.27/25.68 % (20012)Instruction limit reached!
% 170.27/25.68 % (20012)------------------------------
% 170.27/25.68 % (20012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 170.27/25.68 % (20012)Termination reason: Unknown
% 170.27/25.68 % (20012)Termination phase: Saturation
% 170.27/25.68
% 170.27/25.68 % (20012)Memory used [KB]: 11897
% 170.27/25.68 % (20012)Time elapsed: 2.389 s
% 170.27/25.68 % (20012)Instructions burned: 7801 (million)
% 170.27/25.68 % (20012)------------------------------
% 170.27/25.68 % (20012)------------------------------
% 170.27/25.69 % (20021)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_19410 for (2757ds/10380Mi)
% 171.87/25.92 % (19774)Instruction limit reached!
% 171.87/25.92 % (19774)------------------------------
% 171.87/25.92 % (19774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 171.87/25.92 % (19774)Termination reason: Unknown
% 171.87/25.92 % (19774)Termination phase: Saturation
% 171.87/25.92
% 171.87/25.92 % (19774)Memory used [KB]: 13560
% 171.87/25.92 % (19774)Time elapsed: 3.971 s
% 171.87/25.92 % (19774)Instructions burned: 13469 (million)
% 171.87/25.92 % (19774)------------------------------
% 171.87/25.92 % (19774)------------------------------
% 171.87/25.93 % (20022)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_19410 for (2755ds/4218Mi)
% 178.35/26.78 % (19987)Instruction limit reached!
% 178.35/26.78 % (19987)------------------------------
% 178.35/26.78 % (19987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 178.35/26.78 % (19987)Termination reason: Unknown
% 178.35/26.78 % (19987)Termination phase: Saturation
% 178.35/26.78
% 178.35/26.78 % (19987)Memory used [KB]: 24178
% 178.35/26.78 % (19987)Time elapsed: 4.219 s
% 178.35/26.78 % (19987)Instructions burned: 15559 (million)
% 178.35/26.78 % (19987)------------------------------
% 178.35/26.78 % (19987)------------------------------
% 178.35/26.79 % (20023)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on DTF2THF_19410 for (2746ds/3971Mi)
% 178.35/26.79 % (20020)Instruction limit reached!
% 178.35/26.79 % (20020)------------------------------
% 178.35/26.79 % (20020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 178.35/26.79 % (20020)Termination reason: Unknown
% 178.35/26.79 % (20020)Termination phase: Saturation
% 178.35/26.79
% 178.35/26.79 % (20020)Memory used [KB]: 9850
% 178.35/26.79 % (20020)Time elapsed: 1.550 s
% 178.35/26.79 % (20020)Instructions burned: 5088 (million)
% 178.35/26.79 % (20020)------------------------------
% 178.35/26.79 % (20020)------------------------------
% 179.06/26.80 % (20024)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on DTF2THF_19410 for (2746ds/14014Mi)
% 181.88/27.23 % (20022)Instruction limit reached!
% 181.88/27.23 % (20022)------------------------------
% 181.88/27.23 % (20022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 181.88/27.23 % (20022)Termination reason: Unknown
% 181.88/27.23 % (20022)Termination phase: Saturation
% 181.88/27.23
% 181.88/27.23 % (20022)Memory used [KB]: 9978
% 181.88/27.23 % (20022)Time elapsed: 1.295 s
% 181.88/27.23 % (20022)Instructions burned: 4219 (million)
% 181.88/27.23 % (20022)------------------------------
% 181.88/27.23 % (20022)------------------------------
% 181.88/27.24 % (20025)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on DTF2THF_19410 for (2742ds/8517Mi)
% 183.09/27.41 % (20016)Instruction limit reached!
% 183.09/27.41 % (20016)------------------------------
% 183.09/27.41 % (20016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 183.09/27.41 % (20016)Termination reason: Unknown
% 183.09/27.41 % (20016)Termination phase: Saturation
% 183.09/27.41
% 183.09/27.41 % (20016)Memory used [KB]: 13560
% 183.09/27.41 % (20016)Time elapsed: 3.544 s
% 183.09/27.41 % (20016)Instructions burned: 13020 (million)
% 183.09/27.41 % (20016)------------------------------
% 183.09/27.41 % (20016)------------------------------
% 183.09/27.42 % (20026)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on DTF2THF_19410 for (2740ds/10148Mi)
% 185.63/27.92 % (20013)Instruction limit reached!
% 185.63/27.92 % (20013)------------------------------
% 185.63/27.92 % (20013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 185.63/27.92 % (20013)Termination reason: Unknown
% 185.63/27.92 % (20013)Termination phase: Saturation
% 185.63/27.92
% 185.63/27.92 % (20013)Memory used [KB]: 18293
% 185.63/27.92 % (20013)Time elapsed: 4.476 s
% 185.63/27.92 % (20013)Instructions burned: 15196 (million)
% 185.63/27.92 % (20013)------------------------------
% 185.63/27.92 % (20013)------------------------------
% 185.63/27.93 % (20027)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on DTF2THF_19410 for (2735ds/9078Mi)
% 185.63/27.97 % (20023)Instruction limit reached!
% 185.63/27.97 % (20023)------------------------------
% 185.63/27.97 % (20023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 185.63/27.97 % (20023)Termination reason: Unknown
% 185.63/27.97 % (20023)Termination phase: Saturation
% 185.63/27.97
% 185.63/27.97 % (20023)Memory used [KB]: 15735
% 185.63/27.97 % (20023)Time elapsed: 1.178 s
% 185.63/27.97 % (20023)Instructions burned: 3972 (million)
% 185.63/27.97 % (20023)------------------------------
% 185.63/27.97 % (20023)------------------------------
% 185.63/27.98 % (20028)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on DTF2THF_19410 for (2734ds/16164Mi)
% 190.29/28.49 % (20019)Instruction limit reached!
% 190.29/28.49 % (20019)------------------------------
% 190.29/28.49 % (20019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 190.29/28.49 % (20019)Termination reason: Unknown
% 190.29/28.49 % (20019)Termination phase: Saturation
% 190.29/28.49
% 190.29/28.49 % (20019)Memory used [KB]: 30575
% 190.29/28.49 % (20019)Time elapsed: 3.761 s
% 190.29/28.49 % (20019)Instructions burned: 13164 (million)
% 190.29/28.49 % (20019)------------------------------
% 190.29/28.49 % (20019)------------------------------
% 190.99/28.50 % (20029)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on DTF2THF_19410 for (2729ds/6102Mi)
% 192.79/28.87 % (20021)Instruction limit reached!
% 192.79/28.87 % (20021)------------------------------
% 192.79/28.87 % (20021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 192.79/28.87 % (20021)Termination reason: Unknown
% 192.79/28.87 % (20021)Termination phase: Saturation
% 192.79/28.87
% 192.79/28.87 % (20021)Memory used [KB]: 10106
% 192.79/28.87 % (20021)Time elapsed: 3.179 s
% 192.79/28.87 % (20021)Instructions burned: 10381 (million)
% 192.79/28.87 % (20021)------------------------------
% 192.79/28.87 % (20021)------------------------------
% 192.79/28.88 % (20030)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on DTF2THF_19410 for (2725ds/10308Mi)
% 200.12/29.82 % (20025)Instruction limit reached!
% 200.12/29.82 % (20025)------------------------------
% 200.12/29.82 % (20025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 200.12/29.82 % (20025)Termination reason: Unknown
% 200.12/29.82 % (20025)Termination phase: Saturation
% 200.12/29.82
% 200.12/29.82 % (20025)Memory used [KB]: 12409
% 200.12/29.82 % (20025)Time elapsed: 2.607 s
% 200.12/29.82 % (20025)Instructions burned: 8518 (million)
% 200.12/29.82 % (20025)------------------------------
% 200.12/29.82 % (20025)------------------------------
% 200.12/29.83 % (20279)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on DTF2THF_19410 for (2716ds/4041Mi)
% 203.63/30.39 % (20029)Instruction limit reached!
% 203.63/30.39 % (20029)------------------------------
% 203.63/30.39 % (20029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 203.63/30.39 % (20029)Termination reason: Unknown
% 203.63/30.39 % (20029)Termination phase: Saturation
% 203.63/30.39
% 203.63/30.39 % (20029)Memory used [KB]: 9850
% 203.63/30.39 % (20029)Time elapsed: 1.887 s
% 203.63/30.39 % (20029)Instructions burned: 6104 (million)
% 203.63/30.39 % (20029)------------------------------
% 203.63/30.39 % (20029)------------------------------
% 203.63/30.40 % (20538)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on DTF2THF_19410 for (2710ds/6901Mi)
% 204.33/30.47 % (20026)Instruction limit reached!
% 204.33/30.47 % (20026)------------------------------
% 204.33/30.47 % (20026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 204.33/30.47 % (20026)Termination reason: Unknown
% 204.33/30.47 % (20026)Termination phase: Saturation
% 204.33/30.47
% 204.33/30.47 % (20026)Memory used [KB]: 11385
% 204.33/30.47 % (20026)Time elapsed: 3.075 s
% 204.33/30.47 % (20026)Instructions burned: 10150 (million)
% 204.33/30.47 % (20026)------------------------------
% 204.33/30.47 % (20026)------------------------------
% 204.33/30.48 % (20568)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on DTF2THF_19410 for (2709ds/5576Mi)
% 205.42/30.61 % (20027)Instruction limit reached!
% 205.42/30.61 % (20027)------------------------------
% 205.42/30.61 % (20027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 205.42/30.61 % (20027)Termination reason: Unknown
% 205.42/30.61 % (20027)Termination phase: Saturation
% 205.42/30.61
% 205.42/30.61 % (20027)Memory used [KB]: 14583
% 205.42/30.61 % (20027)Time elapsed: 2.680 s
% 205.42/30.61 % (20027)Instructions burned: 9078 (million)
% 205.42/30.61 % (20027)------------------------------
% 205.42/30.61 % (20027)------------------------------
% 205.42/30.62 % (20609)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on DTF2THF_19410 for (2708ds/2014Mi)
% 208.72/31.11 % (20279)Instruction limit reached!
% 208.72/31.11 % (20279)------------------------------
% 208.72/31.11 % (20279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 208.72/31.11 % (20279)Termination reason: Unknown
% 208.72/31.11 % (20279)Termination phase: Saturation
% 208.72/31.11
% 208.72/31.11 % (20279)Memory used [KB]: 10746
% 208.72/31.11 % (20279)Time elapsed: 1.283 s
% 208.72/31.11 % (20279)Instructions burned: 4041 (million)
% 208.72/31.11 % (20279)------------------------------
% 208.72/31.11 % (20279)------------------------------
% 208.72/31.12 % (20610)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on DTF2THF_19410 for (2703ds/5115Mi)
% 209.86/31.24 % (20609)Instruction limit reached!
% 209.86/31.24 % (20609)------------------------------
% 209.86/31.24 % (20609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 209.86/31.24 % (20609)Termination reason: Unknown
% 209.86/31.24 % (20609)Termination phase: Saturation
% 209.86/31.24
% 209.86/31.24 % (20609)Memory used [KB]: 18166
% 209.86/31.24 % (20609)Time elapsed: 0.621 s
% 209.86/31.24 % (20609)Instructions burned: 2014 (million)
% 209.86/31.24 % (20609)------------------------------
% 209.86/31.24 % (20609)------------------------------
% 209.86/31.25 % (20611)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on DTF2THF_19410 for (2702ds/13001Mi)
% 209.86/31.25 % (20611)Refutation not found, incomplete strategy
% 209.86/31.25 % (20611)------------------------------
% 209.86/31.25 % (20611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 209.86/31.25 % (20611)Termination reason: Refutation not found, incomplete strategy
% 209.86/31.25
% 209.86/31.25
% 209.86/31.25 % (20611)Memory used [KB]: 5628
% 209.86/31.25 % (20611)Time elapsed: 0.006 s
% 209.86/31.25 % (20611)Instructions burned: 13 (million)
% 209.86/31.25 % (20611)------------------------------
% 209.86/31.25 % (20611)------------------------------
% 209.86/31.26 % (20612)dis+10_1:2_aac=none:acc=on:atotf=0.1:au=on:fde=none:ins=1:ixr=off:nwc=5.0:i=11105:si=on:rtra=on_0 on DTF2THF_19410 for (2702ds/11105Mi)
% 210.43/31.31 % (20024)Instruction limit reached!
% 210.43/31.31 % (20024)------------------------------
% 210.43/31.31 % (20024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 210.43/31.31 % (20024)Termination reason: Unknown
% 210.43/31.31 % (20024)Termination phase: Saturation
% 210.43/31.31
% 210.43/31.31 % (20024)Memory used [KB]: 23027
% 210.43/31.31 % (20024)Time elapsed: 4.507 s
% 210.43/31.31 % (20024)Instructions burned: 14016 (million)
% 210.43/31.31 % (20024)------------------------------
% 210.43/31.31 % (20024)------------------------------
% 210.43/31.32 % (20613)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=13832:si=on:rtra=on_0 on DTF2THF_19410 for (2701ds/13832Mi)
% 212.47/31.83 % (20030)Refutation not found, non-redundant clauses discarded% (20030)------------------------------
% 212.47/31.83 % (20030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 212.47/31.83 % (20030)Termination reason: Refutation not found, non-redundant clauses discarded
% 212.47/31.83
% 212.47/31.83 % (20030)Memory used [KB]: 14200
% 212.47/31.83 % (20030)Time elapsed: 2.957 s
% 212.47/31.83 % (20030)Instructions burned: 10300 (million)
% 212.47/31.83 % (20030)------------------------------
% 212.47/31.83 % (20030)------------------------------
% 212.47/31.84 % (20614)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on DTF2THF_19410 for (2696ds/32887Mi)
% 215.73/32.07 % (20568)Refutation not found, non-redundant clauses discarded% (20568)------------------------------
% 215.73/32.07 % (20568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 215.73/32.07 % (20568)Termination reason: Refutation not found, non-redundant clauses discarded
% 215.73/32.07
% 215.73/32.07 % (20568)Memory used [KB]: 9083
% 215.73/32.07 % (20568)Time elapsed: 1.591 s
% 215.73/32.07 % (20568)Instructions burned: 5352 (million)
% 215.73/32.07 % (20568)------------------------------
% 215.73/32.07 % (20568)------------------------------
% 215.73/32.08 % (20615)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on DTF2THF_19410 for (2693ds/3362Mi)
% 218.06/32.49 % (20538)Instruction limit reached!
% 218.06/32.49 % (20538)------------------------------
% 218.06/32.49 % (20538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 218.06/32.49 % (20538)Termination reason: Unknown
% 218.06/32.49 % (20538)Termination phase: Saturation
% 218.06/32.49
% 218.06/32.49 % (20538)Memory used [KB]: 18933
% 218.06/32.49 % (20538)Time elapsed: 2.093 s
% 218.06/32.49 % (20538)Instructions burned: 6901 (million)
% 218.06/32.49 % (20538)------------------------------
% 218.06/32.49 % (20538)------------------------------
% 218.66/32.50 % (20616)ott+1002_1:1_au=on:cnfonf=lazy_simp:nwc=5.0:sgt=5:ss=axioms:st=1.5:i=24965:si=on:rtra=on_0 on DTF2THF_19410 for (2689ds/24965Mi)
% 219.65/32.72 % (20610)Instruction limit reached!
% 219.65/32.72 % (20610)------------------------------
% 219.65/32.72 % (20610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 219.65/32.72 % (20610)Termination reason: Unknown
% 219.65/32.72 % (20610)Termination phase: Saturation
% 219.65/32.72
% 219.65/32.72 % (20610)Memory used [KB]: 11641
% 219.65/32.72 % (20610)Time elapsed: 1.623 s
% 219.65/32.72 % (20610)Instructions burned: 5115 (million)
% 219.65/32.72 % (20610)------------------------------
% 219.65/32.72 % (20610)------------------------------
% 219.65/32.73 % (20617)lrs+1010_2:1_amm=off:avsq=on:c=on:cbe=off:e2e=on:fsr=off:ins=3:s2a=on:s2at=-1.0:i=15705:si=on:rtra=on_0 on DTF2THF_19410 for (2687ds/15705Mi)
% 220.09/32.84 % (20028)Instruction limit reached!
% 220.09/32.84 % (20028)------------------------------
% 220.09/32.84 % (20028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 220.09/32.84 % (20028)Termination reason: Unknown
% 220.09/32.84 % (20028)Termination phase: Saturation
% 220.09/32.84
% 220.09/32.84 % (20028)Memory used [KB]: 17270
% 220.09/32.84 % (20028)Time elapsed: 4.863 s
% 220.09/32.84 % (20028)Instructions burned: 16166 (million)
% 220.09/32.84 % (20028)------------------------------
% 220.09/32.84 % (20028)------------------------------
% 220.09/32.85 % (20618)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1536:si=on:rtra=on_0 on DTF2THF_19410 for (2686ds/1536Mi)
% 222.76/33.12 % (20615)Instruction limit reached!
% 222.76/33.12 % (20615)------------------------------
% 222.76/33.12 % (20615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 222.76/33.12 % (20615)Termination reason: Unknown
% 222.76/33.12 % (20615)Termination phase: Saturation
% 222.76/33.12
% 222.76/33.12 % (20615)Memory used [KB]: 10874
% 222.76/33.12 % (20615)Time elapsed: 1.040 s
% 222.76/33.12 % (20615)Instructions burned: 3363 (million)
% 222.76/33.12 % (20615)------------------------------
% 222.76/33.12 % (20615)------------------------------
% 223.49/33.13 % (20619)dis+10_1:1_fde=none:kws=precedence:piset=not:prag=on:slsq=on:slsqc=1:sp=unary_frequency:i=23684:si=on:rtra=on_0 on DTF2THF_19410 for (2683ds/23684Mi)
% 224.54/33.34 % (20618)Refutation not found, non-redundant clauses discarded% (20618)------------------------------
% 224.54/33.34 % (20618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 224.54/33.34 % (20618)Termination reason: Refutation not found, non-redundant clauses discarded
% 224.54/33.34
% 224.54/33.34 % (20618)Memory used [KB]: 8187
% 224.54/33.34 % (20618)Time elapsed: 0.487 s
% 224.54/33.34 % (20618)Instructions burned: 1530 (million)
% 224.54/33.34 % (20618)------------------------------
% 224.54/33.34 % (20618)------------------------------
% 224.54/33.35 % (20620)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=4925:si=on:rtra=on_0 on DTF2THF_19410 for (2681ds/4925Mi)
% 233.82/34.65 % (20612)Instruction limit reached!
% 233.82/34.65 % (20612)------------------------------
% 233.82/34.65 % (20612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 233.82/34.65 % (20612)Termination reason: Unknown
% 233.82/34.65 % (20612)Termination phase: Saturation
% 233.82/34.65
% 233.82/34.65 % (20612)Memory used [KB]: 16886
% 233.82/34.65 % (20612)Time elapsed: 3.413 s
% 233.82/34.65 % (20612)Instructions burned: 11106 (million)
% 233.82/34.65 % (20612)------------------------------
% 233.82/34.65 % (20612)------------------------------
% 233.82/34.67 % (20621)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=14666:si=on:rtra=on_0 on DTF2THF_19410 for (2667ds/14666Mi)
% 235.67/34.91 % (20620)Instruction limit reached!
% 235.67/34.91 % (20620)------------------------------
% 235.67/34.91 % (20620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 235.67/34.91 % (20620)Termination reason: Unknown
% 235.67/34.91 % (20620)Termination phase: Saturation
% 235.67/34.91
% 235.67/34.91 % (20620)Memory used [KB]: 9850
% 235.67/34.91 % (20620)Time elapsed: 1.593 s
% 235.67/34.91 % (20620)Instructions burned: 4926 (million)
% 235.67/34.91 % (20620)------------------------------
% 235.67/34.91 % (20620)------------------------------
% 235.67/34.93 % (20622)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=3322:si=on:rtra=on_0 on DTF2THF_19410 for (2665ds/3322Mi)
% 238.71/35.38 % (20613)Instruction limit reached!
% 238.71/35.38 % (20613)------------------------------
% 238.71/35.38 % (20613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 238.71/35.38 % (20613)Termination reason: Unknown
% 238.71/35.38 % (20613)Termination phase: Saturation
% 238.71/35.38
% 238.71/35.38 % (20613)Memory used [KB]: 81235
% 238.71/35.38 % (20613)Time elapsed: 4.055 s
% 238.71/35.38 % (20613)Instructions burned: 13835 (million)
% 238.71/35.38 % (20613)------------------------------
% 238.71/35.38 % (20613)------------------------------
% 238.71/35.39 % (20623)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1810:si=on:rtra=on_0 on DTF2THF_19410 for (2660ds/1810Mi)
% 242.42/35.93 % (20623)Instruction limit reached!
% 242.42/35.93 % (20623)------------------------------
% 242.42/35.93 % (20623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 242.42/35.93 % (20623)Termination reason: Unknown
% 242.42/35.93 % (20623)Termination phase: Saturation
% 242.42/35.93
% 242.42/35.93 % (20623)Memory used [KB]: 9083
% 242.42/35.93 % (20623)Time elapsed: 0.543 s
% 242.42/35.93 % (20623)Instructions burned: 1813 (million)
% 242.42/35.93 % (20623)------------------------------
% 242.42/35.93 % (20623)------------------------------
% 242.42/35.94 % (20624)dis+1666_1:1_anc=none:bs=on:cbe=off:cha=on:cnfonf=lazy_gen:fe=off:fsr=off:hud=5:kws=precedence:piset=pi_sigma:prag=on:sos=on:sp=frequency:i=2465:si=on:rtra=on_0 on DTF2THF_19410 for (2655ds/2465Mi)
% 242.42/35.95 % (20622)Refutation not found, non-redundant clauses discarded% (20622)------------------------------
% 242.42/35.95 % (20622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 242.42/35.95 % (20622)Termination reason: Refutation not found, non-redundant clauses discarded
% 242.42/35.95
% 242.42/35.95 % (20622)Memory used [KB]: 9594
% 242.42/35.95 % (20622)Time elapsed: 1.021 s
% 242.42/35.95 % (20622)Instructions burned: 3305 (million)
% 242.42/35.95 % (20622)------------------------------
% 242.42/35.95 % (20622)------------------------------
% 242.42/35.96 % (20625)dis+1002_1:1_cbe=off:cnfonf=lazy_pi_sigma_gen:fsr=off:ins=1:kws=inv_precedence:nwc=10.0:ss=axioms:st=2.0:i=41234:si=on:rtra=on_0 on DTF2THF_19410 for (2654ds/41234Mi)
% 248.55/36.71 % (20624)Instruction limit reached!
% 248.55/36.71 % (20624)------------------------------
% 248.55/36.71 % (20624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 248.55/36.71 % (20624)Termination reason: Unknown
% 248.55/36.71 % (20624)Termination phase: Saturation
% 248.55/36.71
% 248.55/36.71 % (20624)Memory used [KB]: 7547
% 248.55/36.71 % (20624)Time elapsed: 0.765 s
% 248.55/36.71 % (20624)Instructions burned: 2465 (million)
% 248.55/36.71 % (20624)------------------------------
% 248.55/36.71 % (20624)------------------------------
% 248.55/36.72 % (20626)dis+1002_1:1_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:nm=0:i=14027:si=on:rtra=on_0 on DTF2THF_19410 for (2647ds/14027Mi)
% 254.87/37.68 % (20617)Instruction limit reached!
% 254.87/37.68 % (20617)------------------------------
% 254.87/37.68 % (20617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 254.87/37.68 % (20617)Termination reason: Unknown
% 254.87/37.68 % (20617)Termination phase: Saturation
% 254.87/37.68
% 254.87/37.68 % (20617)Memory used [KB]: 25074
% 254.87/37.68 % (20617)Time elapsed: 4.949 s
% 254.87/37.68 % (20617)Instructions burned: 15708 (million)
% 254.87/37.68 % (20617)------------------------------
% 254.87/37.68 % (20617)------------------------------
% 254.87/37.69 % (20627)dis+1010_1:1_au=on:cnfonf=conj_eager:nwc=10.0:sac=on:i=27021:si=on:rtra=on_0 on DTF2THF_19410 for (2637ds/27021Mi)
% 264.90/39.09 % (20621)Refutation not found, non-redundant clauses discarded% (20621)------------------------------
% 264.90/39.09 % (20621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 264.90/39.09 % (20621)Termination reason: Refutation not found, non-redundant clauses discarded
% 264.90/39.09
% 264.90/39.09 % (20621)Memory used [KB]: 13304
% 264.90/39.09 % (20621)Time elapsed: 4.423 s
% 264.90/39.09 % (20621)Instructions burned: 14528 (million)
% 264.90/39.09 % (20621)------------------------------
% 264.90/39.09 % (20621)------------------------------
% 264.90/39.10 % (20628)dis-1666_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:i=5643:si=on:rtra=on_0 on DTF2THF_19410 for (2623ds/5643Mi)
% 267.22/39.41 % (20627)First to succeed.
% 267.22/39.41 % (20627)Refutation found. Thanks to Tanya!
% 267.22/39.41 % SZS status Theorem for DTF2THF_19410
% 267.22/39.41 % SZS output start Proof for DTF2THF_19410
% 267.22/39.41 thf(type_def_5, type, 'type/realax/real': $tType).
% 267.22/39.41 thf(func_def_0, type, 'type/realax/real': $tType).
% 267.22/39.41 thf(func_def_1, type, 'const/sets/sup': ('type/realax/real' > $o) > 'type/realax/real').
% 267.22/39.41 thf(func_def_2, type, 'const/sets/INSERT': !>[X0: $tType]:(X0 > (X0 > $o) > X0 > $o)).
% 267.22/39.41 thf(func_def_3, type, 'const/sets/inf': ('type/realax/real' > $o) > 'type/realax/real').
% 267.22/39.41 thf(func_def_4, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 267.22/39.41 thf(func_def_5, type, 'const/sets/FINITE': !>[X0: $tType]:((X0 > $o) > $o)).
% 267.22/39.41 thf(func_def_6, type, 'const/sets/EMPTY': !>[X0: $tType]:(X0 > $o)).
% 267.22/39.41 thf(func_def_7, type, 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_8, type, 'const/realax/real_min': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_9, type, 'const/realax/real_max': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_10, type, 'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o).
% 267.22/39.41 thf(func_def_11, type, 'const/realax/real_abs': 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_12, type, 'const/class/COND': !>[X0: $tType]:($o > X0 > X0 > X0)).
% 267.22/39.41 thf(func_def_27, type, sK0: 'type/realax/real' > $o).
% 267.22/39.41 thf(func_def_28, type, sK1: 'type/realax/real').
% 267.22/39.41 thf(func_def_30, type, sK3: 'type/realax/real').
% 267.22/39.41 thf(func_def_31, type, sK4: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 267.22/39.41 thf(func_def_32, type, sK5: ('type/realax/real' > $o) > 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_33, type, sK6: ('type/realax/real' > $o) > 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_34, type, ph7: !>[X0: $tType]:(X0)).
% 267.22/39.41 thf(func_def_35, type, sK8: 'type/realax/real').
% 267.22/39.41 thf(func_def_36, type, sK9: 'type/realax/real').
% 267.22/39.41 thf(func_def_37, type, sK10: 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_38, type, sK11: 'type/realax/real').
% 267.22/39.41 thf(func_def_39, type, sK12: 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_40, type, sK13: 'type/realax/real').
% 267.22/39.41 thf(func_def_41, type, sK14: 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_42, type, sK15: 'type/realax/real').
% 267.22/39.41 thf(func_def_43, type, sK16: 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(func_def_44, type, sK17: 'type/realax/real').
% 267.22/39.41 thf(func_def_45, type, sK18: 'type/realax/real').
% 267.22/39.41 thf(func_def_46, type, sK19: 'type/realax/real' > 'type/realax/real').
% 267.22/39.41 thf(f17150,plain,(
% 267.22/39.41 $false),
% 267.22/39.41 inference(avatar_sat_refutation,[status(thm)],[f227,f248,f256,f297,f302,f1003,f3611,f3801,f4285,f5024,f5099,f5131,f5207,f6505,f7802,f7915,f8013,f9432,f9481,f10560,f10922,f10954,f10965,f11480,f11491,f11542,f11959,f12272,f12395,f13358,f13402,f13481,f14245,f14319,f14321,f14586,f16481,f17149])).
% 267.22/39.41 thf(f17149,plain,(
% 267.22/39.41 spl2_77 | ~spl2_6 | ~spl2_76),
% 267.22/39.41 inference(avatar_split_clause,[status(thm)],[f14715,f14581,f245,f14584])).
% 267.22/39.41 thf(f14584,definition,(
% 267.22/39.41 spl2_77 <=> ! [X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true))),
% 267.22/39.41 introduced(definition,[new_symbols(naming,[spl2_77])],[avatar_definition])).
% 267.22/39.41 thf(f245,definition,(
% 267.22/39.41 spl2_6 <=> (('const/sets/sup' @ sK0) = ('const/sets/inf' @ sK0))),
% 267.22/39.41 introduced(definition,[new_symbols(naming,[spl2_6])],[avatar_definition])).
% 267.22/39.41 thf(f14581,definition,(
% 267.22/39.41 spl2_76 <=> ! [X0 : 'type/realax/real'] : (('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true)),
% 267.22/39.41 introduced(definition,[new_symbols(naming,[spl2_76])],[avatar_definition])).
% 267.22/39.41 thf(f14715,plain,(
% 267.22/39.41 ( ! [X0 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | (~spl2_6 | ~spl2_76)),
% 267.22/39.41 inference(forward_demodulation,[status(thm)],[f14714,f247])).
% 267.22/39.41 thf(f247,plain,(
% 267.22/39.41 (('const/sets/sup' @ sK0) = ('const/sets/inf' @ sK0)) | ~spl2_6),
% 267.22/39.41 inference(avatar_component_clause,[status(thm)],[f245])).
% 267.22/39.41 thf(f14714,plain,(
% 267.22/39.41 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X0) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_76),
% 267.22/39.41 inference(subsumption_resolution,[status(thm)],[f14703,f59])).
% 267.22/39.41 thf(f59,plain,(
% 267.22/39.41 ('const/sets/EMPTY' @ 'type/realax/real' != sK0)),
% 267.22/39.41 inference(cnf_transformation,[status(thm)],[f47])).
% 267.22/39.41 thf(f47,plain,(
% 267.22/39.41 ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ sK0) != $true)) & ('const/sets/EMPTY' @ 'type/realax/real' != sK0) & ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0))))),
% 267.22/39.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f46,f45])).
% 267.22/39.41 thf(f45,plain,(
% 267.22/39.41 ? [X0 : 'type/realax/real' > $o] : (? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) != $true)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0) & ((('const/sets/inf' @ X0) = ('const/sets/sup' @ X0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0))))) => (? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ sK0) != $true)) & ('const/sets/EMPTY' @ 'type/realax/real' != sK0) & ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0)))))),
% 267.22/39.41 introduced(definition,[],[choice_axiom])).
% 267.22/39.41 thf(f46,plain,(
% 267.22/39.41 ? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ sK0) != $true)) => ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ sK0) != $true))),
% 267.22/39.41 introduced(definition,[],[choice_axiom])).
% 267.22/39.41 thf(f44,plain,(
% 267.22/39.41 ? [X0 : 'type/realax/real' > $o] : (? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) != $true)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0) & ((('const/sets/inf' @ X0) = ('const/sets/sup' @ X0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0)))))),
% 267.22/39.41 inference(flattening,[status(thm)],[f43])).
% 267.22/39.41 thf(f43,plain,(
% 267.22/39.41 ? [X0 : 'type/realax/real' > $o] : (((('const/sets/inf' @ X0) = ('const/sets/sup' @ X0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0)))) & (('const/sets/EMPTY' @ 'type/realax/real' != X0) & ? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) != $true))))),
% 267.22/39.41 inference(ennf_transformation,[status(thm)],[f21])).
% 267.22/39.41 thf(f21,plain,(
% 267.22/39.41 ~! [X0 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' != X0) & ? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) = $true) => (('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $true))) => ((('const/sets/inf' @ X0) = ('const/sets/sup' @ X0)) = (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0)))))),
% 267.22/39.41 inference(fool_elimination,[status(thm)],[f20])).
% 267.22/39.41 thf(f20,plain,(
% 267.22/39.41 ~! [X0 : 'type/realax/real' > $o] : ((? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (? [X3 : 'type/realax/real'] : (('const/sets/INSERT' @ 'type/realax/real' @ X3 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0) = (('const/sets/inf' @ X0) = ('const/sets/sup' @ X0))))),
% 267.22/39.41 inference(rectify,[status(thm)],[f13])).
% 267.22/39.41 thf(f13,negated_conjecture,(
% 267.22/39.41 ~! [X0 : 'type/realax/real' > $o] : ((? [X5 : 'type/realax/real'] : ! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X1 @ X0) => ('const/realax/real_le' @ ('const/realax/real_abs' @ X1) @ X5)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (? [X1 : 'type/realax/real'] : (('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0) = (('const/sets/inf' @ X0) = ('const/sets/sup' @ X0))))),
% 267.22/39.41 inference(negated_conjecture,[status(cth)],[f12])).
% 267.22/39.41 thf(f12,conjecture,(
% 267.22/39.41 ! [X0 : 'type/realax/real' > $o] : ((? [X5 : 'type/realax/real'] : ! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X1 @ X0) => ('const/realax/real_le' @ ('const/realax/real_abs' @ X1) @ X5)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (? [X1 : 'type/realax/real'] : (('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') = X0) = (('const/sets/inf' @ X0) = ('const/sets/sup' @ X0))))),
% 267.22/39.41 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/REAL_SUP_EQ_INF_')).
% 267.22/39.41 thf(f14703,plain,(
% 267.22/39.41 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X0) = $true)) ) | ~spl2_76),
% 267.22/39.41 inference(trivial_inequality_removal,[status(thm)],[f14690])).
% 267.22/39.41 thf(f14690,plain,(
% 267.22/39.41 ( ! [X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X0) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | ($false = $true)) ) | ~spl2_76),
% 267.22/39.41 inference(superposition,[status(thm)],[f14599,f160])).
% 267.22/39.41 thf(f160,plain,(
% 267.22/39.41 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($false = ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) | (('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.41 inference(binary_proxy_clausification,[status(thm)],[f159])).
% 267.22/39.41 thf(f159,plain,(
% 267.22/39.41 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) = $false)) )),
% 267.22/39.41 inference(beta_eta_normalization,[status(thm)],[f158])).
% 267.22/39.41 thf(f158,plain,(
% 267.22/39.41 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3) = $true) | ($false = ((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))) @ (sK5 @ X1 @ X2))) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false)) )),
% 267.22/39.41 inference(sigma_clausification,[status(thm)],[f157])).
% 267.22/39.41 thf(f157,plain,(
% 267.22/39.41 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.41 inference(binary_proxy_clausification,[status(thm)],[f156])).
% 267.22/39.42 thf(f156,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3)) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0)))))) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f155])).
% 267.22/39.42 thf(f155,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0))) @ X3) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0)))))) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f139])).
% 267.22/39.42 thf(f139,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($true = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0))))) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f137])).
% 267.22/39.42 thf(f137,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0)))))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f136])).
% 267.22/39.42 thf(f136,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' = X1) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f135])).
% 267.22/39.42 thf(f135,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true) | (((^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1))))) @ X2) = $false) | (('const/sets/EMPTY' @ 'type/realax/real' = X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f134])).
% 267.22/39.42 thf(f134,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))))) = $false) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true) | (('const/sets/EMPTY' @ 'type/realax/real' = X1) = $true)) )),
% 267.22/39.42 inference(not_proxy_clausification,[status(thm)],[f133])).
% 267.22/39.42 thf(f133,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false) | ((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))))) = $false) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f132])).
% 267.22/39.42 thf(f132,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : ((((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))))) & (~ ('const/sets/EMPTY' @ 'type/realax/real' = X1))) = $false) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))))) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f131])).
% 267.22/39.42 thf(f131,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))))) & (~ ('const/sets/EMPTY' @ 'type/realax/real' = X1))) => ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ ('const/sets/inf' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1))))))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f130])).
% 267.22/39.42 thf(f130,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (($true = ((^[Y0 : 'type/realax/real' > $o]: (((?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))))) & (~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ ('const/sets/inf' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))) => ('const/realax/real_le' @ Y1 @ ('const/sets/inf' @ Y0)))))))) @ X1))) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f61])).
% 267.22/39.42 thf(f61,plain,(
% 267.22/39.42 ((!! @ ('type/realax/real' > $o) @ (^[Y0 : 'type/realax/real' > $o]: (((?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))))) & (~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ ('const/sets/inf' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))) => ('const/realax/real_le' @ Y1 @ ('const/sets/inf' @ Y0))))))))) = $true)),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f16])).
% 267.22/39.42 thf(f16,plain,(
% 267.22/39.42 ((!! @ ('type/realax/real' > $o) @ (^[Y0 : 'type/realax/real' > $o]: (((?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))))) & (~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ ('const/sets/inf' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y1 @ Y2)))) => ('const/realax/real_le' @ Y1 @ ('const/sets/inf' @ Y0))))))))) = $true)),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f15])).
% 267.22/39.42 thf(f15,plain,(
% 267.22/39.42 ! [X0 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' != X0) & ? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X1 @ X2))) => (! [X3 : 'type/realax/real'] : (! [X4 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X4 @ X0) => ('const/realax/real_le' @ X3 @ X4)) => ('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X0))) & ! [X5 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X5 @ X0) => ('const/realax/real_le' @ ('const/sets/inf' @ X0) @ X5))))),
% 267.22/39.42 inference(rectify,[status(thm)],[f8])).
% 267.22/39.42 thf(f8,axiom,(
% 267.22/39.42 ! [X0 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' != X0) & ? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X1 @ X2))) => (! [X1 : 'type/realax/real'] : (! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X1 @ X2)) => ('const/realax/real_le' @ X1 @ ('const/sets/inf' @ X0))) & ! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X1 @ X0) => ('const/realax/real_le' @ ('const/sets/inf' @ X0) @ X1))))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/INF_')).
% 267.22/39.42 thf(f14599,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_neg' @ sK1) @ (sK5 @ sK0 @ X0)) = $true)) ) | ~spl2_76),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f14593])).
% 267.22/39.42 thf(f14593,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/realax/real_le' @ ('const/realax/real_neg' @ sK1) @ (sK5 @ sK0 @ X0)) = $true)) ) | ~spl2_76),
% 267.22/39.42 inference(superposition,[status(thm)],[f14582,f102])).
% 267.22/39.42 thf(f102,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $false) | (('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X2) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f101])).
% 267.22/39.42 thf(f101,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : (($true = (('const/realax/real_le' @ X2 @ X1) & ('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X2))) | (('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f99])).
% 267.22/39.42 thf(f99,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = (('const/realax/real_le' @ X2 @ X1) & ('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X2)))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f98])).
% 267.22/39.42 thf(f98,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((((('const/realax/real_le' @ X2 @ X1) & ('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X2)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f97])).
% 267.22/39.42 thf(f97,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: ((('const/realax/real_le' @ Y0 @ X1) & ('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ Y0)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ Y0) @ X1))) @ X2) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f96])).
% 267.22/39.42 thf(f96,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((('const/realax/real_le' @ Y0 @ X1) & ('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ Y0)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ Y0) @ X1)))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f95])).
% 267.22/39.42 thf(f95,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y1 @ Y0) & ('const/realax/real_le' @ ('const/realax/real_neg' @ Y0) @ Y1)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ Y1) @ Y0))))) @ X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f56])).
% 267.22/39.42 thf(f56,plain,(
% 267.22/39.42 ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y1 @ Y0) & ('const/realax/real_le' @ ('const/realax/real_neg' @ Y0) @ Y1)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ Y1) @ Y0)))))) = $true)),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f33])).
% 267.22/39.42 thf(f33,plain,(
% 267.22/39.42 ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y1 @ Y0) & ('const/realax/real_le' @ ('const/realax/real_neg' @ Y0) @ Y1)) = ('const/realax/real_le' @ ('const/realax/real_abs' @ Y1) @ Y0)))))) = $true)),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f32])).
% 267.22/39.42 thf(f32,plain,(
% 267.22/39.42 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X0) & ('const/realax/real_le' @ X0 @ X1) = ('const/realax/real_le' @ ('const/realax/real_abs' @ X0) @ X1))),
% 267.22/39.42 inference(rectify,[status(thm)],[f9])).
% 267.22/39.42 thf(f9,axiom,(
% 267.22/39.42 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ ('const/realax/real_neg' @ X1) @ X0) & ('const/realax/real_le' @ X0 @ X1) = ('const/realax/real_le' @ ('const/realax/real_abs' @ X0) @ X1))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/real/REAL_ABS_BOUNDS_')).
% 267.22/39.42 thf(f14582,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true)) ) | ~spl2_76),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f14581])).
% 267.22/39.42 thf(f16481,plain,(
% 267.22/39.42 spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f16480])).
% 267.22/39.42 thf(f16480,plain,(
% 267.22/39.42 $false | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f16479,f234])).
% 267.22/39.42 thf(f234,plain,(
% 267.22/39.42 ((sK0 @ sK8) != $false) | spl2_4),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f233])).
% 267.22/39.42 thf(f233,definition,(
% 267.22/39.42 spl2_4 <=> ((sK0 @ sK8) = $false)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition])).
% 267.22/39.42 thf(f16479,plain,(
% 267.22/39.42 ((sK0 @ sK8) = $false) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f16475])).
% 267.22/39.42 thf(f16475,plain,(
% 267.22/39.42 ((sK0 @ sK8) = $false) | (sK8 != sK8) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f14571,f16462])).
% 267.22/39.42 thf(f16462,plain,(
% 267.22/39.42 ((sK19 @ sK8) = sK8) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(equality_resolution,[status(thm)],[f16459])).
% 267.22/39.42 thf(f16459,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK8 != X0) | ((sK19 @ X0) = X0)) ) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(equality_factoring,[status(thm)],[f15772])).
% 267.22/39.42 thf(f15772,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK19 @ X0) = sK8) | ((sK19 @ X0) = X0)) ) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f15764])).
% 267.22/39.42 thf(f15764,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | ((sK19 @ X0) = sK8) | ((sK19 @ X0) = X0)) ) | (spl2_4 | ~spl2_7 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f15484,f14559])).
% 267.22/39.42 thf(f14559,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK0 @ (sK19 @ X0)) = $true) | ((sK19 @ X0) = X0)) ) | ~spl2_7),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f14558])).
% 267.22/39.42 thf(f14558,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK0 @ (sK19 @ X0)) = $true) | ($false = $true) | ((sK19 @ X0) = X0)) ) | ~spl2_7),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f14557,f81])).
% 267.22/39.42 thf(f81,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) = $false)) )),
% 267.22/39.42 inference(not_proxy_clausification,[status(thm)],[f80])).
% 267.22/39.42 thf(f80,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : (((~ ('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f79])).
% 267.22/39.42 thf(f79,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : ((((^[Y0 : X0]: (~ ('const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0))) @ X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f57])).
% 267.22/39.42 thf(f57,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (~ ('const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0)))) = $true)) )),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f40])).
% 267.22/39.42 thf(f40,plain,(
% 267.22/39.42 ! [X0 : $tType] : ((!! @ X0 @ (^[Y0 : X0]: (~ ('const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0)))) = $true)),
% 267.22/39.42 inference(closure,[status(thm)],[f25])).
% 267.22/39.42 thf(f25,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (~ ('const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0)))) = $true)) )),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f24])).
% 267.22/39.42 thf(f24,plain,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 267.22/39.42 inference(rectify,[status(thm)],[f4])).
% 267.22/39.42 thf(f4,axiom,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/NOT_IN_EMPTY_')).
% 267.22/39.42 thf(f14557,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK19 @ X0) = X0) | ($true = ('const/sets/IN' @ 'type/realax/real' @ (sK19 @ X0) @ 'const/sets/EMPTY' @ 'type/realax/real')) | ((sK0 @ (sK19 @ X0)) = $true)) ) | ~spl2_7),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f14554])).
% 267.22/39.42 thf(f14554,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK0 @ (sK19 @ X0)) = $true) | ($true = ('const/sets/IN' @ 'type/realax/real' @ (sK19 @ X0) @ 'const/sets/EMPTY' @ 'type/realax/real')) | ($false = $true) | ((sK19 @ X0) = X0)) ) | ~spl2_7),
% 267.22/39.42 inference(superposition,[status(thm)],[f14486,f285])).
% 267.22/39.42 thf(f285,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0 > $o,X1 : X0] : ((('const/sets/INSERT' @ X0 @ X2 @ X3 @ X1) = $false) | (X1 = X2) | (('const/sets/IN' @ X0 @ X1 @ X3) = $true)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f283])).
% 267.22/39.42 thf(f283,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0 > $o,X1 : X0] : ((X1 = X2) | (('const/sets/INSERT' @ X0 @ X2 @ X3 @ X1) = $false) | (('const/sets/IN' @ X0 @ X1 @ X3) = $true) | ($false = $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f172,f78])).
% 267.22/39.42 thf(f78,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ X2) = $true) | ((X2 @ X1) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f76])).
% 267.22/39.42 thf(f76,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : (((X2 @ X1) = ('const/sets/IN' @ X0 @ X1 @ X2))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f75])).
% 267.22/39.42 thf(f75,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : ((((X2 @ X1) = ('const/sets/IN' @ X0 @ X1 @ X2)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f74])).
% 267.22/39.42 thf(f74,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : ((((^[Y0 : X0 > $o]: ((Y0 @ X1) = ('const/sets/IN' @ X0 @ X1 @ Y0))) @ X2) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f73])).
% 267.22/39.42 thf(f73,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: ((Y0 @ X1) = ('const/sets/IN' @ X0 @ X1 @ Y0)))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f72])).
% 267.22/39.42 thf(f72,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : ((((^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f51])).
% 267.22/39.42 thf(f51,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y0 @ Y1)))))) = $true)) )),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f39])).
% 267.22/39.42 thf(f39,plain,(
% 267.22/39.42 ! [X0 : $tType] : ((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y0 @ Y1)))))) = $true)),
% 267.22/39.42 inference(closure,[status(thm)],[f23])).
% 267.22/39.42 thf(f23,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y0 @ Y1)))))) = $true)) )),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f22])).
% 267.22/39.42 thf(f22,plain,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0 > $o,X2 : X0] : ((X1 @ X2) = ('const/sets/IN' @ X0 @ X2 @ X1))),
% 267.22/39.42 inference(rectify,[status(thm)],[f6])).
% 267.22/39.42 thf(f6,axiom,(
% 267.22/39.42 ! [X0 : $tType,X4 : X0 > $o,X1 : X0] : (('const/sets/IN' @ X0 @ X1 @ X4) = (X4 @ X1))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/IN_')).
% 267.22/39.42 thf(f172,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $false) | (X2 = X3) | (('const/sets/IN' @ X0 @ X3 @ X1) = $true)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f171])).
% 267.22/39.42 thf(f171,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X3 @ X1) = $true) | (('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $false) | ((X3 = X2) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f170])).
% 267.22/39.42 thf(f170,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : (((('const/sets/IN' @ X0 @ X3 @ X1) | (X3 = X2)) = $true) | (('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f168])).
% 267.22/39.42 thf(f168,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X1) | (X3 = X2)))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f167])).
% 267.22/39.42 thf(f167,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : (((('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X1) | (X3 = X2))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f166])).
% 267.22/39.42 thf(f166,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((((^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = (('const/sets/IN' @ X0 @ Y0 @ X1) | (Y0 = X2)))) @ X3) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f165])).
% 267.22/39.42 thf(f165,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = (('const/sets/IN' @ X0 @ Y0 @ X1) | (Y0 = X2))))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f164])).
% 267.22/39.42 thf(f164,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (($true = ((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ ('const/sets/INSERT' @ X0 @ Y0 @ X1)) = (('const/sets/IN' @ X0 @ Y1 @ X1) | (Y1 = Y0)))))) @ X2))) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f163])).
% 267.22/39.42 thf(f163,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : (((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ ('const/sets/INSERT' @ X0 @ Y0 @ X1)) = (('const/sets/IN' @ X0 @ Y1 @ X1) | (Y1 = Y0))))))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f162])).
% 267.22/39.42 thf(f162,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : ((((^[Y0 : X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/INSERT' @ X0 @ Y1 @ Y0)) = (('const/sets/IN' @ X0 @ Y2 @ Y0) | (Y2 = Y1)))))))) @ X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f53])).
% 267.22/39.42 thf(f53,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/INSERT' @ X0 @ Y1 @ Y0)) = (('const/sets/IN' @ X0 @ Y2 @ Y0) | (Y2 = Y1))))))))) = $true)) )),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f41])).
% 267.22/39.42 thf(f41,plain,(
% 267.22/39.42 ! [X0 : $tType] : ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/INSERT' @ X0 @ Y1 @ Y0)) = (('const/sets/IN' @ X0 @ Y2 @ Y0) | (Y2 = Y1))))))))) = $true)),
% 267.22/39.42 inference(closure,[status(thm)],[f27])).
% 267.22/39.42 thf(f27,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/INSERT' @ X0 @ Y1 @ Y0)) = (('const/sets/IN' @ X0 @ Y2 @ Y0) | (Y2 = Y1))))))))) = $true)) )),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f26])).
% 267.22/39.42 thf(f26,plain,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > $o] : (('const/sets/IN' @ X0 @ X1 @ ('const/sets/INSERT' @ X0 @ X2 @ X3)) = (X1 = X2) | ('const/sets/IN' @ X0 @ X1 @ X3))),
% 267.22/39.42 inference(rectify,[status(thm)],[f5])).
% 267.22/39.42 thf(f5,axiom,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > $o] : (('const/sets/IN' @ X0 @ X1 @ ('const/sets/INSERT' @ X0 @ X2 @ X3)) = (X1 = X2) | ('const/sets/IN' @ X0 @ X1 @ X3))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/IN_INSERT_')).
% 267.22/39.42 thf(f14486,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ (sK19 @ X1)) = $true) | ((sK0 @ (sK19 @ X1)) = $true)) ) | ~spl2_7),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f14485])).
% 267.22/39.42 thf(f14485,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ (sK19 @ X1)) != (sK0 @ (sK19 @ X1)))) ) | ~spl2_7),
% 267.22/39.42 inference(negative_extensionality,[status(thm)],[f255])).
% 267.22/39.42 thf(f255,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') != sK0)) ) | ~spl2_7),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f254])).
% 267.22/39.42 thf(f254,definition,(
% 267.22/39.42 spl2_7 <=> ! [X1 : 'type/realax/real'] : (('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') != sK0)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_7])],[avatar_definition])).
% 267.22/39.42 thf(f15484,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = (sK0 @ X0)) | (sK8 = X0)) ) | (spl2_4 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f15474])).
% 267.22/39.42 thf(f15474,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false != $false) | (sK8 = X0) | ($false = (sK0 @ X0))) ) | (spl2_4 | ~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f234,f15443])).
% 267.22/39.42 thf(f15443,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($false = (sK0 @ X0)) | (X0 = X1) | ((sK0 @ X1) = $false)) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f15387,f15387])).
% 267.22/39.42 thf(f15387,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/sup' @ sK0) = X0) | ($false = (sK0 @ X0))) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f15377])).
% 267.22/39.42 thf(f15377,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | ($false = (sK0 @ X0)) | (('const/sets/sup' @ sK0) = X0)) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f78,f15243])).
% 267.22/39.42 thf(f15243,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/sup' @ sK0) = X0)) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f15242])).
% 267.22/39.42 thf(f15242,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/sets/sup' @ sK0) = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(duplicate_literal_removal,[status(thm)],[f15220])).
% 267.22/39.42 thf(f15220,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/sets/sup' @ sK0) = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | (~spl2_12 | ~spl2_77)),
% 267.22/39.42 inference(superposition,[status(thm)],[f3831,f14585])).
% 267.22/39.42 thf(f14585,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) ) | ~spl2_77),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f14584])).
% 267.22/39.42 thf(f3831,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/sup' @ sK0) = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_12),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f3815])).
% 267.22/39.42 thf(f3815,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/sup' @ sK0) = X0) | ($false = $true)) ) | ~spl2_12),
% 267.22/39.42 inference(superposition,[status(thm)],[f90,f853])).
% 267.22/39.42 thf(f853,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ sK0))) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) ) | ~spl2_12),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f852])).
% 267.22/39.42 thf(f852,definition,(
% 267.22/39.42 spl2_12 <=> ! [X1 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ sK0))) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_12])],[avatar_definition])).
% 267.22/39.42 thf(f90,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X2 @ X1) = $false) | (('const/realax/real_le' @ X1 @ X2) = $false) | (X1 = X2)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f89])).
% 267.22/39.42 thf(f89,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X2 @ X1) = $false) | ((X2 = X1) = $true) | (('const/realax/real_le' @ X1 @ X2) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f87])).
% 267.22/39.42 thf(f87,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ X2) & ('const/realax/real_le' @ X2 @ X1)) = $false) | ((X2 = X1) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f86])).
% 267.22/39.42 thf(f86,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : (((X2 = X1) = (('const/realax/real_le' @ X1 @ X2) & ('const/realax/real_le' @ X2 @ X1)))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f85])).
% 267.22/39.42 thf(f85,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((((('const/realax/real_le' @ X1 @ X2) & ('const/realax/real_le' @ X2 @ X1)) = (X2 = X1)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f84])).
% 267.22/39.42 thf(f84,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: ((('const/realax/real_le' @ X1 @ Y0) & ('const/realax/real_le' @ Y0 @ X1)) = (Y0 = X1))) @ X2) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f83])).
% 267.22/39.42 thf(f83,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((('const/realax/real_le' @ X1 @ Y0) & ('const/realax/real_le' @ Y0 @ X1)) = (Y0 = X1)))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f82])).
% 267.22/39.42 thf(f82,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (($true = ((^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y0 @ Y1) & ('const/realax/real_le' @ Y1 @ Y0)) = (Y1 = Y0))))) @ X1))) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f50])).
% 267.22/39.42 thf(f50,plain,(
% 267.22/39.42 ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y0 @ Y1) & ('const/realax/real_le' @ Y1 @ Y0)) = (Y1 = Y0)))))) = $true)),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f37])).
% 267.22/39.42 thf(f37,plain,(
% 267.22/39.42 ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((('const/realax/real_le' @ Y0 @ Y1) & ('const/realax/real_le' @ Y1 @ Y0)) = (Y1 = Y0)))))) = $true)),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f36])).
% 267.22/39.42 thf(f36,plain,(
% 267.22/39.42 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X0) = (X0 = X1))),
% 267.22/39.42 inference(rectify,[status(thm)],[f11])).
% 267.22/39.42 thf(f11,axiom,(
% 267.22/39.42 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X0) = (X0 = X1))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/realax/REAL_LE_ANTISYM_')).
% 267.22/39.42 thf(f14571,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK19 @ X0) != X0) | ((sK0 @ (sK19 @ X0)) = $false)) ) | ~spl2_7),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f14568])).
% 267.22/39.42 thf(f14568,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK19 @ X0) != X0) | ((sK0 @ (sK19 @ X0)) = $false) | ($false = $true)) ) | ~spl2_7),
% 267.22/39.42 inference(superposition,[status(thm)],[f423,f14487])).
% 267.22/39.42 thf(f14487,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real' @ (sK19 @ X1)) = $false) | ((sK0 @ (sK19 @ X1)) = $false)) ) | ~spl2_7),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f14485])).
% 267.22/39.42 thf(f423,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0 > $o,X1 : X0] : ((('const/sets/INSERT' @ X0 @ X2 @ X3 @ X1) = $true) | (X1 != X2)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f420])).
% 267.22/39.42 thf(f420,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0 > $o,X1 : X0] : ((('const/sets/INSERT' @ X0 @ X2 @ X3 @ X1) = $true) | ($false = $true) | (X1 != X2)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f175,f77])).
% 267.22/39.42 thf(f77,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ X2) = $false) | ((X2 @ X1) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f76])).
% 267.22/39.42 thf(f175,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $true) | (X2 != X3)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f173])).
% 267.22/39.42 thf(f173,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : (((X3 = X2) = $false) | (('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f169])).
% 267.22/39.42 thf(f169,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X3 @ ('const/sets/INSERT' @ X0 @ X2 @ X1)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X1) | (X3 = X2)) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f168])).
% 267.22/39.42 thf(f14586,plain,(
% 267.22/39.42 spl2_76 | spl2_77 | ~spl2_6),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f14577,f245,f14584,f14581])).
% 267.22/39.42 thf(f14577,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true)) ) | ~spl2_6),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f597,f247])).
% 267.22/39.42 thf(f597,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) )),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f587,f59])).
% 267.22/39.42 thf(f587,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f580])).
% 267.22/39.42 thf(f580,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK5 @ sK0 @ X0)) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($true != $true) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f60,f161])).
% 267.22/39.42 thf(f161,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | (('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X3) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f159])).
% 267.22/39.42 thf(f60,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X2 @ sK0) != $true) | (('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ sK1) = $true)) )),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f47])).
% 267.22/39.42 thf(f14321,plain,(
% 267.22/39.42 ~spl2_73),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f14320])).
% 267.22/39.42 thf(f14320,plain,(
% 267.22/39.42 $false | ~spl2_73),
% 267.22/39.42 inference(equality_resolution,[status(thm)],[f14318])).
% 267.22/39.42 thf(f14318,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 != X0)) ) | ~spl2_73),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f14317])).
% 267.22/39.42 thf(f14317,definition,(
% 267.22/39.42 spl2_73 <=> ! [X0 : 'type/realax/real'] : (sK3 != X0)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_73])],[avatar_definition])).
% 267.22/39.42 thf(f14319,plain,(
% 267.22/39.42 spl2_11 | spl2_73 | ~spl2_16),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f14312,f1001,f14317,f766])).
% 267.22/39.42 thf(f766,definition,(
% 267.22/39.42 spl2_11 <=> ! [X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_11])],[avatar_definition])).
% 267.22/39.42 thf(f1001,definition,(
% 267.22/39.42 spl2_16 <=> ! [X0 : 'type/realax/real'] : (sK3 = (sK5 @ sK0 @ X0))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_16])],[avatar_definition])).
% 267.22/39.42 thf(f14312,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (sK3 != X0) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true)) ) | ~spl2_16),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f13377,f59])).
% 267.22/39.42 thf(f13377,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((sK3 != X0) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true)) ) | ~spl2_16),
% 267.22/39.42 inference(superposition,[status(thm)],[f556,f1002])).
% 267.22/39.42 thf(f1002,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK5 @ sK0 @ X0))) ) | ~spl2_16),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f1001])).
% 267.22/39.42 thf(f556,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X0 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((sK5 @ X1 @ X0) != X0) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) = $false) | (('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X2) = $true)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f548])).
% 267.22/39.42 thf(f548,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X0 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((sK5 @ X1 @ X0) != X0) | ($false = $true) | (('const/realax/real_le' @ ('const/sets/inf' @ X1) @ X2) = $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f160,f93])).
% 267.22/39.42 thf(f93,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X2 @ X1) = $true) | (X1 != X2)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f91])).
% 267.22/39.42 thf(f91,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X2 @ X1) = $true) | ((X2 = X1) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f88])).
% 267.22/39.42 thf(f88,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ X2) & ('const/realax/real_le' @ X2 @ X1)) = $true) | ((X2 = X1) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f86])).
% 267.22/39.42 thf(f14245,plain,(
% 267.22/39.42 ~spl2_5 | ~spl2_11 | spl2_35 | spl2_68 | ~spl2_71),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f14244])).
% 267.22/39.42 thf(f14244,plain,(
% 267.22/39.42 $false | (~spl2_5 | ~spl2_11 | spl2_35 | spl2_68 | ~spl2_71)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f14243,f4498])).
% 267.22/39.42 thf(f4498,plain,(
% 267.22/39.42 (sK3 != ('const/sets/inf' @ sK0)) | spl2_35),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f4497])).
% 267.22/39.42 thf(f4497,definition,(
% 267.22/39.42 spl2_35 <=> (sK3 = ('const/sets/inf' @ sK0))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_35])],[avatar_definition])).
% 267.22/39.42 thf(f14243,plain,(
% 267.22/39.42 (sK3 = ('const/sets/inf' @ sK0)) | (~spl2_5 | ~spl2_11 | spl2_68 | ~spl2_71)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f14242,f4250])).
% 267.22/39.42 thf(f4250,plain,(
% 267.22/39.42 ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK3) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4219,f59])).
% 267.22/39.42 thf(f4219,plain,(
% 267.22/39.42 ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK3) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4178])).
% 267.22/39.42 thf(f4178,plain,(
% 267.22/39.42 ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK3) | ($false = $true) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f651])).
% 267.22/39.42 thf(f651,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) @ X1) = $true) | ('const/sets/EMPTY' @ X0 = X1)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f636])).
% 267.22/39.42 thf(f636,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) @ X1) = $true) | ('const/sets/EMPTY' @ X0 = X1) | ($false = $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f128,f81])).
% 267.22/39.42 thf(f128,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X2) = $true) | (X1 = X2) | (('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X1) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f127])).
% 267.22/39.42 thf(f127,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((X1 = X2) | (('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X1) != ('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X2))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f126])).
% 267.22/39.42 thf(f126,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((X1 = X2) | ((('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X2) = ('const/sets/IN' @ X0 @ (sK4 @ X0 @ X1 @ X2) @ X1)) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f125])).
% 267.22/39.42 thf(f125,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((((^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ X2) = ('const/sets/IN' @ X0 @ Y0 @ X1))) @ (sK4 @ X0 @ X1 @ X2)) = $false) | (X1 = X2)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f124])).
% 267.22/39.42 thf(f124,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((X1 = X2) | ((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ X2) = ('const/sets/IN' @ X0 @ Y0 @ X1)))) = $false)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f117])).
% 267.22/39.42 thf(f117,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : (((X2 = X1) = $true) | ((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ X2) = ('const/sets/IN' @ X0 @ Y0 @ X1)))) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f115])).
% 267.22/39.42 thf(f115,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : (((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ X2) = ('const/sets/IN' @ X0 @ Y0 @ X1)))) = (X2 = X1))) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f114])).
% 267.22/39.42 thf(f114,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ X2) = ('const/sets/IN' @ X0 @ Y0 @ X1)))) = (X2 = X1)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f113])).
% 267.22/39.42 thf(f113,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((((^[Y0 : X0 > $o]: ((!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y1 @ X1)))) = (Y0 = X1))) @ X2) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f112])).
% 267.22/39.42 thf(f112,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: ((!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ Y0) = ('const/sets/IN' @ X0 @ Y1 @ X1)))) = (Y0 = X1)))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f111])).
% 267.22/39.42 thf(f111,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0 > $o] : ((((^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ Y1) = ('const/sets/IN' @ X0 @ Y2 @ Y0)))) = (Y1 = Y0))))) @ X1) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f55])).
% 267.22/39.42 thf(f55,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ Y1) = ('const/sets/IN' @ X0 @ Y2 @ Y0)))) = (Y1 = Y0)))))) = $true)) )),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f38])).
% 267.22/39.42 thf(f38,plain,(
% 267.22/39.42 ! [X0 : $tType] : ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ Y1) = ('const/sets/IN' @ X0 @ Y2 @ Y0)))) = (Y1 = Y0)))))) = $true)),
% 267.22/39.42 inference(closure,[status(thm)],[f19])).
% 267.22/39.42 thf(f19,plain,(
% 267.22/39.42 ( ! [X0 : $tType] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ Y1) = ('const/sets/IN' @ X0 @ Y2 @ Y0)))) = (Y1 = Y0)))))) = $true)) )),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f7])).
% 267.22/39.42 thf(f7,axiom,(
% 267.22/39.42 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (! [X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ X1) = ('const/sets/IN' @ X0 @ X3 @ X2)) = (X1 = X2))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/EXTENSION_')).
% 267.22/39.42 thf(f4159,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (sK3 = X0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4158])).
% 267.22/39.42 thf(f4158,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (sK3 = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f4143,f81])).
% 267.22/39.42 thf(f4143,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ 'const/sets/EMPTY' @ 'type/realax/real') = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f172,f243])).
% 267.22/39.42 thf(f243,plain,(
% 267.22/39.42 (sK0 = ('const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real')) | ~spl2_5),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f241])).
% 267.22/39.42 thf(f241,definition,(
% 267.22/39.42 spl2_5 <=> (sK0 = ('const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real'))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_5])],[avatar_definition])).
% 267.22/39.42 thf(f14242,plain,(
% 267.22/39.42 ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_5 | ~spl2_11 | spl2_68 | ~spl2_71)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f14241,f11478])).
% 267.22/39.42 thf(f11478,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ sK3) != $false) | spl2_68),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f11477])).
% 267.22/39.42 thf(f11477,definition,(
% 267.22/39.42 spl2_68 <=> (('const/realax/real_le' @ sK3 @ sK3) = $false)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_68])],[avatar_definition])).
% 267.22/39.42 thf(f14241,plain,(
% 267.22/39.42 ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (('const/realax/real_le' @ sK3 @ sK3) = $false) | (~spl2_5 | ~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f14240,f4250])).
% 267.22/39.42 thf(f14240,plain,(
% 267.22/39.42 (('const/realax/real_le' @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') @ sK3) = $false) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f14179,f59])).
% 267.22/39.42 thf(f14179,plain,(
% 267.22/39.42 ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') @ sK3) = $false) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f14126])).
% 267.22/39.42 thf(f14126,plain,(
% 267.22/39.42 ($false = $true) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (('const/realax/real_le' @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') @ sK3) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(superposition,[status(thm)],[f13772,f651])).
% 267.22/39.42 thf(f13772,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/inf' @ sK0) = X0) | ($false = ('const/realax/real_le' @ X0 @ sK3))) ) | (~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f13731])).
% 267.22/39.42 thf(f13731,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/inf' @ sK0) = X0) | ($false = $true) | ($false = ('const/realax/real_le' @ X0 @ sK3)) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | (~spl2_11 | ~spl2_71)),
% 267.22/39.42 inference(superposition,[status(thm)],[f13398,f1435])).
% 267.22/39.42 thf(f1435,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $false) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/inf' @ sK0) = X0)) ) | ~spl2_11),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f1431])).
% 267.22/39.42 thf(f1431,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/inf' @ sK0) = X0) | (('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $false) | ($false = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_11),
% 267.22/39.42 inference(superposition,[status(thm)],[f90,f767])).
% 267.22/39.42 thf(f767,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) ) | ~spl2_11),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f766])).
% 267.22/39.42 thf(f13398,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | ($false = ('const/realax/real_le' @ X1 @ sK3))) ) | ~spl2_71),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f13397])).
% 267.22/39.42 thf(f13397,definition,(
% 267.22/39.42 spl2_71 <=> ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | ($false = ('const/realax/real_le' @ X1 @ sK3)))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_71])],[avatar_definition])).
% 267.22/39.42 thf(f13481,plain,(
% 267.22/39.42 spl2_68 | ~spl2_72),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f13480])).
% 267.22/39.42 thf(f13480,plain,(
% 267.22/39.42 $false | (spl2_68 | ~spl2_72)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f13435])).
% 267.22/39.42 thf(f13435,plain,(
% 267.22/39.42 ($false != $false) | (spl2_68 | ~spl2_72)),
% 267.22/39.42 inference(superposition,[status(thm)],[f11478,f13401])).
% 267.22/39.42 thf(f13401,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = ('const/realax/real_le' @ X0 @ sK3))) ) | ~spl2_72),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f13400])).
% 267.22/39.42 thf(f13400,definition,(
% 267.22/39.42 spl2_72 <=> ! [X0 : 'type/realax/real'] : ($false = ('const/realax/real_le' @ X0 @ sK3))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_72])],[avatar_definition])).
% 267.22/39.42 thf(f13402,plain,(
% 267.22/39.42 spl2_71 | spl2_72 | ~spl2_16),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f13391,f1001,f13400,f13397])).
% 267.22/39.42 thf(f13391,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | ($false = ('const/realax/real_le' @ X1 @ sK3)) | ($false = ('const/realax/real_le' @ X0 @ sK3))) ) | ~spl2_16),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f13390,f1002])).
% 267.22/39.42 thf(f13390,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($false = ('const/realax/real_le' @ X0 @ sK3)) | (('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false)) ) | ~spl2_16),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f13371,f59])).
% 267.22/39.42 thf(f13371,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($false = ('const/realax/real_le' @ X0 @ sK3)) | (('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false)) ) | ~spl2_16),
% 267.22/39.42 inference(superposition,[status(thm)],[f149,f1002])).
% 267.22/39.42 thf(f149,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($false = ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ X3 @ (sK5 @ X1 @ X3)) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f148])).
% 267.22/39.42 thf(f148,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X3) @ X1) => ('const/realax/real_le' @ X3 @ (sK5 @ X1 @ X3))) = $false) | ($false = ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2)))) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f147])).
% 267.22/39.42 thf(f147,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ($false = ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) | (((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0))) @ (sK5 @ X1 @ X3)) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f145])).
% 267.22/39.42 thf(f145,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0))))) | ($false = ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2)))) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f144])).
% 267.22/39.42 thf(f144,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) = $false) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0))))) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f143])).
% 267.22/39.42 thf(f143,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0)))) => ('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1))) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ X2 @ (sK5 @ X1 @ X2))) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f142])).
% 267.22/39.42 thf(f142,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($false = ((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))) @ (sK5 @ X1 @ X2))) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0)))) => ('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f141])).
% 267.22/39.42 thf(f141,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0)))) => ('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f140])).
% 267.22/39.42 thf(f140,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1)))) @ X3) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f138])).
% 267.22/39.42 thf(f138,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y0 @ Y1)))) => ('const/realax/real_le' @ Y0 @ ('const/sets/inf' @ X1))))) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X2 @ Y0))))) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f137])).
% 267.22/39.42 thf(f13358,plain,(
% 267.22/39.42 ~spl2_5 | ~spl2_11 | spl2_35 | ~spl2_43 | spl2_60),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f13357])).
% 267.22/39.42 thf(f13357,plain,(
% 267.22/39.42 $false | (~spl2_5 | ~spl2_11 | spl2_35 | ~spl2_43 | spl2_60)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f13356,f4498])).
% 267.22/39.42 thf(f13356,plain,(
% 267.22/39.42 (sK3 = ('const/sets/inf' @ sK0)) | (~spl2_5 | ~spl2_11 | ~spl2_43 | spl2_60)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f13355,f4250])).
% 267.22/39.42 thf(f13355,plain,(
% 267.22/39.42 ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_5 | ~spl2_11 | ~spl2_43 | spl2_60)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f13354,f7962])).
% 267.22/39.42 thf(f7962,plain,(
% 267.22/39.42 (sK3 != (sK5 @ sK0 @ sK3)) | spl2_60),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f7961])).
% 267.22/39.42 thf(f7961,definition,(
% 267.22/39.42 spl2_60 <=> (sK3 = (sK5 @ sK0 @ sK3))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_60])],[avatar_definition])).
% 267.22/39.42 thf(f13354,plain,(
% 267.22/39.42 (sK3 = (sK5 @ sK0 @ sK3)) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_5 | ~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f13353,f4250])).
% 267.22/39.42 thf(f13353,plain,(
% 267.22/39.42 (sK3 = (sK5 @ sK0 @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real'))) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f13275,f59])).
% 267.22/39.42 thf(f13275,plain,(
% 267.22/39.42 ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (sK3 = (sK5 @ sK0 @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real'))) | (~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f13238])).
% 267.22/39.42 thf(f13238,plain,(
% 267.22/39.42 ($false = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (sK3 = (sK5 @ sK0 @ (sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real'))) | ((sK4 @ 'type/realax/real' @ sK0 @ 'const/sets/EMPTY' @ 'type/realax/real') = ('const/sets/inf' @ sK0)) | (~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(superposition,[status(thm)],[f7849,f651])).
% 267.22/39.42 thf(f7849,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (sK3 = (sK5 @ sK0 @ X0)) | (('const/sets/inf' @ sK0) = X0)) ) | (~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f7805])).
% 267.22/39.42 thf(f7805,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/sets/inf' @ sK0) = X0) | (sK3 = (sK5 @ sK0 @ X0))) ) | (~spl2_11 | ~spl2_43)),
% 267.22/39.42 inference(superposition,[status(thm)],[f4980,f1435])).
% 267.22/39.42 thf(f4980,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $true) | (sK3 = (sK5 @ sK0 @ X0))) ) | ~spl2_43),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f4979])).
% 267.22/39.42 thf(f4979,definition,(
% 267.22/39.42 spl2_43 <=> ! [X0 : 'type/realax/real'] : ((sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $true))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_43])],[avatar_definition])).
% 267.22/39.42 thf(f12395,plain,(
% 267.22/39.42 ~spl2_11 | spl2_26 | spl2_35 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f12394])).
% 267.22/39.42 thf(f12394,plain,(
% 267.22/39.42 $false | (~spl2_11 | spl2_26 | spl2_35 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f12385,f1505])).
% 267.22/39.42 thf(f1505,plain,(
% 267.22/39.42 ((sK0 @ sK3) != $false) | spl2_26),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f1504])).
% 267.22/39.42 thf(f1504,definition,(
% 267.22/39.42 spl2_26 <=> ((sK0 @ sK3) = $false)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_26])],[avatar_definition])).
% 267.22/39.42 thf(f12385,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | (~spl2_11 | spl2_35 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12379])).
% 267.22/39.42 thf(f12379,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | ($false = $true) | (~spl2_11 | spl2_35 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(superposition,[status(thm)],[f12374,f78])).
% 267.22/39.42 thf(f12374,plain,(
% 267.22/39.42 (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_11 | spl2_35 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f12369,f4498])).
% 267.22/39.42 thf(f12369,plain,(
% 267.22/39.42 (sK3 = ('const/sets/inf' @ sK0)) | (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_11 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12363])).
% 267.22/39.42 thf(f12363,plain,(
% 267.22/39.42 (sK3 = ('const/sets/inf' @ sK0)) | (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | ($false = $true) | (~spl2_11 | ~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(superposition,[status(thm)],[f1435,f12347])).
% 267.22/39.42 thf(f12347,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ ('const/sets/inf' @ sK0)) = $true) | (~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12335])).
% 267.22/39.42 thf(f12335,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ ('const/sets/inf' @ sK0)) = $true) | ($false = $true) | (~spl2_43 | ~spl2_46 | ~spl2_52 | ~spl2_59)),
% 267.22/39.42 inference(superposition,[status(thm)],[f12327,f7060])).
% 267.22/39.42 thf(f7060,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | (('const/realax/real_le' @ sK3 @ X0) = $true)) ) | ~spl2_52),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f7059])).
% 267.22/39.42 thf(f7059,definition,(
% 267.22/39.42 spl2_52 <=> ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | (('const/realax/real_le' @ sK3 @ X0) = $true))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_52])],[avatar_definition])).
% 267.22/39.42 thf(f12327,plain,(
% 267.22/39.42 (('const/realax/real_le' @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)) @ sK3) = $false) | (~spl2_43 | ~spl2_46 | ~spl2_59)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12326])).
% 267.22/39.42 thf(f12326,plain,(
% 267.22/39.42 (('const/realax/real_le' @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)) @ sK3) = $false) | ($false = $true) | (~spl2_43 | ~spl2_46 | ~spl2_59)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f12313,f5098])).
% 267.22/39.42 thf(f5098,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false)) ) | ~spl2_46),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f5097])).
% 267.22/39.42 thf(f5097,definition,(
% 267.22/39.42 spl2_46 <=> ! [X1 : 'type/realax/real'] : (('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_46])],[avatar_definition])).
% 267.22/39.42 thf(f12313,plain,(
% 267.22/39.42 (('const/realax/real_le' @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)) @ sK3) = $false) | (('const/realax/real_le' @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)) @ ('const/sets/inf' @ sK0)) = $true) | (~spl2_43 | ~spl2_46 | ~spl2_59)),
% 267.22/39.42 inference(superposition,[status(thm)],[f7914,f11799])).
% 267.22/39.42 thf(f11799,plain,(
% 267.22/39.42 (sK3 = (sK5 @ sK0 @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)))) | (~spl2_43 | ~spl2_46)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f11788])).
% 267.22/39.42 thf(f11788,plain,(
% 267.22/39.42 ($false = $true) | (sK3 = (sK5 @ sK0 @ (sK6 @ sK0 @ ('const/sets/inf' @ sK0)))) | (~spl2_43 | ~spl2_46)),
% 267.22/39.42 inference(superposition,[status(thm)],[f4980,f5098])).
% 267.22/39.42 thf(f7914,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false) | (('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true)) ) | ~spl2_59),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f7913])).
% 267.22/39.42 thf(f7913,definition,(
% 267.22/39.42 spl2_59 <=> ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_59])],[avatar_definition])).
% 267.22/39.42 thf(f12272,plain,(
% 267.22/39.42 ~spl2_11 | spl2_26 | spl2_35 | ~spl2_59 | ~spl2_60 | spl2_68),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f12271])).
% 267.22/39.42 thf(f12271,plain,(
% 267.22/39.42 $false | (~spl2_11 | spl2_26 | spl2_35 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f12265,f1505])).
% 267.22/39.42 thf(f12265,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | (~spl2_11 | spl2_35 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12256])).
% 267.22/39.42 thf(f12256,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | ($false = $true) | (~spl2_11 | spl2_35 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(superposition,[status(thm)],[f12245,f78])).
% 267.22/39.42 thf(f12245,plain,(
% 267.22/39.42 (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_11 | spl2_35 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f12243,f4498])).
% 267.22/39.42 thf(f12243,plain,(
% 267.22/39.42 (sK3 = ('const/sets/inf' @ sK0)) | (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_11 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f12233])).
% 267.22/39.42 thf(f12233,plain,(
% 267.22/39.42 ($false = $true) | (sK3 = ('const/sets/inf' @ sK0)) | (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_11 | ~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(superposition,[status(thm)],[f12232,f1435])).
% 267.22/39.42 thf(f12232,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ ('const/sets/inf' @ sK0)) = $true) | (~spl2_59 | ~spl2_60 | spl2_68)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f7969,f11478])).
% 267.22/39.42 thf(f7969,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ ('const/sets/inf' @ sK0)) = $true) | (('const/realax/real_le' @ sK3 @ sK3) = $false) | (~spl2_59 | ~spl2_60)),
% 267.22/39.42 inference(superposition,[status(thm)],[f7914,f7963])).
% 267.22/39.42 thf(f7963,plain,(
% 267.22/39.42 (sK3 = (sK5 @ sK0 @ sK3)) | ~spl2_60),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f7961])).
% 267.22/39.42 thf(f11959,plain,(
% 267.22/39.42 spl2_52 | spl2_66 | ~spl2_12 | ~spl2_50),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f11691,f6498,f852,f10920,f7059])).
% 267.22/39.42 thf(f10920,definition,(
% 267.22/39.42 spl2_66 <=> ! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_66])],[avatar_definition])).
% 267.22/39.42 thf(f6498,definition,(
% 267.22/39.42 spl2_50 <=> (sK3 = ('const/sets/sup' @ sK0))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_50])],[avatar_definition])).
% 267.22/39.42 thf(f11691,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | (('const/realax/real_le' @ sK3 @ X0) = $true) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true)) ) | (~spl2_12 | ~spl2_50)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f11690,f6500])).
% 267.22/39.42 thf(f6500,plain,(
% 267.22/39.42 (sK3 = ('const/sets/sup' @ sK0)) | ~spl2_50),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f6498])).
% 267.22/39.42 thf(f11690,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0))) ) | (~spl2_12 | ~spl2_50)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f11685,f59])).
% 267.22/39.42 thf(f11685,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true)) ) | (~spl2_12 | ~spl2_50)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f11627])).
% 267.22/39.42 thf(f11627,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true) | (('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK3) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($false = $true)) ) | (~spl2_12 | ~spl2_50)),
% 267.22/39.42 inference(superposition,[status(thm)],[f213,f11563])).
% 267.22/39.42 thf(f11563,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | ($true = ('const/realax/real_le' @ X1 @ sK3))) ) | (~spl2_12 | ~spl2_50)),
% 267.22/39.42 inference(backward_demodulation,[status(thm)],[f853,f6500])).
% 267.22/39.42 thf(f213,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X3) @ X1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) = $true) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f211])).
% 267.22/39.42 thf(f211,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X3) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3))) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f209])).
% 267.22/39.42 thf(f209,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X3) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X3) @ X3)) = $false) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f208])).
% 267.22/39.42 thf(f208,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X3))) @ (sK6 @ X1 @ X3)) = $false) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f207])).
% 267.22/39.42 thf(f207,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X3)))) = $false) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f206])).
% 267.22/39.42 thf(f206,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X3)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f205])).
% 267.22/39.42 thf(f205,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0))) @ X3) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f204])).
% 267.22/39.42 thf(f204,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f203])).
% 267.22/39.42 thf(f203,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2))) @ (sK6 @ X1 @ X2)) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f202])).
% 267.22/39.42 thf(f202,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f201])).
% 267.22/39.42 thf(f201,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' = X1) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true)) )),
% 267.22/39.42 inference(not_proxy_clausification,[status(thm)],[f200])).
% 267.22/39.42 thf(f200,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f199])).
% 267.22/39.42 thf(f199,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((((^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0))))) @ X2) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true) | ((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f187])).
% 267.22/39.42 thf(f187,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))))) = $false) | ((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f185])).
% 267.22/39.42 thf(f185,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (($true = ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))))) | ((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))))) = $false) | ((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f184])).
% 267.22/39.42 thf(f184,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : ((((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) & (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0))))))) = $false) | ($true = ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1)))))))) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f183])).
% 267.22/39.42 thf(f183,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) & (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0))))))) => ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))) => ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ Y0)))) & (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))))) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f182])).
% 267.22/39.42 thf(f182,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (($true = ((^[Y0 : 'type/realax/real' > $o]: (((~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0)) & (?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1))))))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1)))) => ('const/realax/real_le' @ ('const/sets/sup' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ Y1 @ ('const/sets/sup' @ Y0)))))))) @ X1))) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f49])).
% 267.22/39.42 thf(f49,plain,(
% 267.22/39.42 ($true = (!! @ ('type/realax/real' > $o) @ (^[Y0 : 'type/realax/real' > $o]: (((~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0)) & (?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1))))))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1)))) => ('const/realax/real_le' @ ('const/sets/sup' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ Y1 @ ('const/sets/sup' @ Y0))))))))))),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f35])).
% 267.22/39.42 thf(f35,plain,(
% 267.22/39.42 ($true = (!! @ ('type/realax/real' > $o) @ (^[Y0 : 'type/realax/real' > $o]: (((~ ('const/sets/EMPTY' @ 'type/realax/real' = Y0)) & (?? @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1))))))) => ((!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: ((!! @ 'type/realax/real' @ (^[Y2 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y2 @ Y0) => ('const/realax/real_le' @ Y2 @ Y1)))) => ('const/realax/real_le' @ ('const/sets/sup' @ Y0) @ Y1)))) & (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ Y0) => ('const/realax/real_le' @ Y1 @ ('const/sets/sup' @ Y0))))))))))),
% 267.22/39.42 inference(fool_elimination,[status(thm)],[f34])).
% 267.22/39.42 thf(f34,plain,(
% 267.22/39.42 ! [X0 : 'type/realax/real' > $o] : ((? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X2 @ X1)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (! [X3 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X3 @ X0) => ('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X0))) & ! [X4 : 'type/realax/real'] : (! [X5 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X5 @ X0) => ('const/realax/real_le' @ X5 @ X4)) => ('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X4))))),
% 267.22/39.42 inference(rectify,[status(thm)],[f10])).
% 267.22/39.42 thf(f10,axiom,(
% 267.22/39.42 ! [X0 : 'type/realax/real' > $o] : ((? [X1 : 'type/realax/real'] : ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X2 @ X1)) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X1 @ X0) => ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) & ! [X1 : 'type/realax/real'] : (! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X2 @ X1)) => ('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1))))),
% 267.22/39.42 file('/export/starexec/sandbox2/tmp/tmp.WazQERWvjj/DTF2THF_19410.p','thm/sets/SUP_')).
% 267.22/39.42 thf(f11542,plain,(
% 267.22/39.42 ~spl2_12 | spl2_26 | spl2_50 | ~spl2_67),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f11541])).
% 267.22/39.42 thf(f11541,plain,(
% 267.22/39.42 $false | (~spl2_12 | spl2_26 | spl2_50 | ~spl2_67)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f11532,f1505])).
% 267.22/39.42 thf(f11532,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | (~spl2_12 | spl2_50 | ~spl2_67)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f11526])).
% 267.22/39.42 thf(f11526,plain,(
% 267.22/39.42 ($false = $true) | ((sK0 @ sK3) = $false) | (~spl2_12 | spl2_50 | ~spl2_67)),
% 267.22/39.42 inference(superposition,[status(thm)],[f11522,f78])).
% 267.22/39.42 thf(f11522,plain,(
% 267.22/39.42 (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_12 | spl2_50 | ~spl2_67)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f11509,f6499])).
% 267.22/39.42 thf(f6499,plain,(
% 267.22/39.42 (sK3 != ('const/sets/sup' @ sK0)) | spl2_50),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f6498])).
% 267.22/39.42 thf(f11509,plain,(
% 267.22/39.42 (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (sK3 = ('const/sets/sup' @ sK0)) | (~spl2_12 | ~spl2_67)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f11502])).
% 267.22/39.42 thf(f11502,plain,(
% 267.22/39.42 (sK3 = ('const/sets/sup' @ sK0)) | ($false = $true) | (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $false) | (~spl2_12 | ~spl2_67)),
% 267.22/39.42 inference(superposition,[status(thm)],[f11475,f3831])).
% 267.22/39.42 thf(f11475,plain,(
% 267.22/39.42 ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ sK3)) | ~spl2_67),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f11473])).
% 267.22/39.42 thf(f11473,definition,(
% 267.22/39.42 spl2_67 <=> ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ sK3))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_67])],[avatar_definition])).
% 267.22/39.42 thf(f11491,plain,(
% 267.22/39.42 ~spl2_68),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f11490])).
% 267.22/39.42 thf(f11490,plain,(
% 267.22/39.42 $false | ~spl2_68),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f11482])).
% 267.22/39.42 thf(f11482,plain,(
% 267.22/39.42 (sK3 != sK3) | ($false = $true) | ~spl2_68),
% 267.22/39.42 inference(superposition,[status(thm)],[f11479,f93])).
% 267.22/39.42 thf(f11479,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ sK3) = $false) | ~spl2_68),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f11477])).
% 267.22/39.42 thf(f11480,plain,(
% 267.22/39.42 spl2_67 | spl2_68 | ~spl2_44 | ~spl2_51),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f11171,f6502,f5022,f11477,f11473])).
% 267.22/39.42 thf(f5022,definition,(
% 267.22/39.42 spl2_44 <=> ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true) | (('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_44])],[avatar_definition])).
% 267.22/39.42 thf(f6502,definition,(
% 267.22/39.42 spl2_51 <=> (sK3 = (sK6 @ sK0 @ sK3))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_51])],[avatar_definition])).
% 267.22/39.42 thf(f11171,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ sK3) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ sK3)) | (~spl2_44 | ~spl2_51)),
% 267.22/39.42 inference(superposition,[status(thm)],[f5023,f6504])).
% 267.22/39.42 thf(f6504,plain,(
% 267.22/39.42 (sK3 = (sK6 @ sK0 @ sK3)) | ~spl2_51),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f6502])).
% 267.22/39.42 thf(f5023,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | (('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true)) ) | ~spl2_44),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f5022])).
% 267.22/39.42 thf(f10965,plain,(
% 267.22/39.42 ~spl2_46 | ~spl2_51),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f10964])).
% 267.22/39.42 thf(f10964,plain,(
% 267.22/39.42 $false | (~spl2_46 | ~spl2_51)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f6504,f10890])).
% 267.22/39.42 thf(f10890,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK6 @ sK0 @ X0) != X0)) ) | ~spl2_46),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f10866])).
% 267.22/39.42 thf(f10866,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (((sK6 @ sK0 @ X0) != X0) | ($false = $true)) ) | ~spl2_46),
% 267.22/39.42 inference(superposition,[status(thm)],[f5098,f93])).
% 267.22/39.42 thf(f10954,plain,(
% 267.22/39.42 ~spl2_5 | spl2_26 | ~spl2_46 | ~spl2_66),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f10953])).
% 267.22/39.42 thf(f10953,plain,(
% 267.22/39.42 $false | (~spl2_5 | spl2_26 | ~spl2_46 | ~spl2_66)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f10950,f1505])).
% 267.22/39.42 thf(f10950,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | (~spl2_5 | ~spl2_46 | ~spl2_66)),
% 267.22/39.42 inference(backward_demodulation,[status(thm)],[f10888,f10937])).
% 267.22/39.42 thf(f10937,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK6 @ sK0 @ X0))) ) | (~spl2_5 | ~spl2_66)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f10931])).
% 267.22/39.42 thf(f10931,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK6 @ sK0 @ X0)) | ($false = $true)) ) | (~spl2_5 | ~spl2_66)),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f10921])).
% 267.22/39.42 thf(f10921,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true)) ) | ~spl2_66),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f10920])).
% 267.22/39.42 thf(f10888,plain,(
% 267.22/39.42 ((sK0 @ (sK6 @ sK0 @ sK1)) = $false) | ~spl2_46),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f10872])).
% 267.22/39.42 thf(f10872,plain,(
% 267.22/39.42 ($false = $true) | ((sK0 @ (sK6 @ sK0 @ sK1)) = $false) | ~spl2_46),
% 267.22/39.42 inference(superposition,[status(thm)],[f5098,f386])).
% 267.22/39.42 thf(f386,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ sK1) = $true) | ($false = (sK0 @ X0))) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f382])).
% 267.22/39.42 thf(f382,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = (sK0 @ X0)) | ($false = $true) | (('const/realax/real_le' @ X0 @ sK1) = $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f271,f103])).
% 267.22/39.42 thf(f103,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X2) @ X1) = $false) | (('const/realax/real_le' @ X2 @ X1) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f101])).
% 267.22/39.42 thf(f271,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ X0) @ sK1) = $true) | ($false = (sK0 @ X0))) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f264])).
% 267.22/39.42 thf(f264,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = (sK0 @ X0)) | (('const/realax/real_le' @ ('const/realax/real_abs' @ X0) @ sK1) = $true) | ($true != $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f60,f78])).
% 267.22/39.42 thf(f10922,plain,(
% 267.22/39.42 spl2_45 | spl2_66 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4243,f241,f10920,f5094])).
% 267.22/39.42 thf(f5094,definition,(
% 267.22/39.42 spl2_45 <=> ! [X0 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (sK3 = (sK6 @ sK0 @ X0)))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_45])],[avatar_definition])).
% 267.22/39.42 thf(f4243,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((sK3 = (sK6 @ sK0 @ X0)) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4240,f59])).
% 267.22/39.42 thf(f4240,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true) | (sK3 = (sK6 @ sK0 @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4164])).
% 267.22/39.42 thf(f4164,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/sets/IN' @ 'type/realax/real' @ (sK6 @ sK0 @ X1) @ sK0) = $true) | (sK3 = (sK6 @ sK0 @ X0)) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | ($false = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f213])).
% 267.22/39.42 thf(f10560,plain,(
% 267.22/39.42 ~spl2_5 | ~spl2_12 | spl2_50 | ~spl2_62),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f10559])).
% 267.22/39.42 thf(f10559,plain,(
% 267.22/39.42 $false | (~spl2_5 | ~spl2_12 | spl2_50 | ~spl2_62)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f10549])).
% 267.22/39.42 thf(f10549,plain,(
% 267.22/39.42 ($false = $true) | (sK3 != sK3) | (~spl2_5 | ~spl2_12 | spl2_50 | ~spl2_62)),
% 267.22/39.42 inference(superposition,[status(thm)],[f93,f10525])).
% 267.22/39.42 thf(f10525,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ sK3) = $false) | (~spl2_5 | ~spl2_12 | spl2_50 | ~spl2_62)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f10459,f6499])).
% 267.22/39.42 thf(f10459,plain,(
% 267.22/39.42 (sK3 = ('const/sets/sup' @ sK0)) | (('const/realax/real_le' @ sK3 @ sK3) = $false) | (~spl2_5 | ~spl2_12 | ~spl2_62)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f10413])).
% 267.22/39.42 thf(f10413,plain,(
% 267.22/39.42 (('const/realax/real_le' @ sK3 @ sK3) = $false) | (sK3 = ('const/sets/sup' @ sK0)) | ($false = $true) | (~spl2_5 | ~spl2_12 | ~spl2_62)),
% 267.22/39.42 inference(superposition,[status(thm)],[f9767,f4293])).
% 267.22/39.42 thf(f4293,plain,(
% 267.22/39.42 (('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK0) = $true) | ~spl2_5),
% 267.22/39.42 inference(equality_resolution,[status(thm)],[f4145])).
% 267.22/39.42 thf(f4145,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 != X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f175,f243])).
% 267.22/39.42 thf(f9767,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/realax/real_le' @ sK3 @ X0) = $false) | (('const/sets/sup' @ sK0) = X0)) ) | (~spl2_12 | ~spl2_62)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f9750])).
% 267.22/39.42 thf(f9750,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/sets/sup' @ sK0) = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/realax/real_le' @ sK3 @ X0) = $false)) ) | (~spl2_12 | ~spl2_62)),
% 267.22/39.42 inference(superposition,[status(thm)],[f3831,f9428])).
% 267.22/39.42 thf(f9428,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/realax/real_le' @ sK3 @ X0) = $false)) ) | ~spl2_62),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f9427])).
% 267.22/39.42 thf(f9427,definition,(
% 267.22/39.42 spl2_62 <=> ! [X0 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/realax/real_le' @ sK3 @ X0) = $false))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_62])],[avatar_definition])).
% 267.22/39.42 thf(f9481,plain,(
% 267.22/39.42 spl2_26 | ~spl2_63),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f9480])).
% 267.22/39.42 thf(f9480,plain,(
% 267.22/39.42 $false | (spl2_26 | ~spl2_63)),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f9453,f1505])).
% 267.22/39.42 thf(f9453,plain,(
% 267.22/39.42 ((sK0 @ sK3) = $false) | ~spl2_63),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f9451])).
% 267.22/39.42 thf(f9451,plain,(
% 267.22/39.42 ($false = $true) | ((sK0 @ sK3) = $false) | ~spl2_63),
% 267.22/39.42 inference(superposition,[status(thm)],[f386,f9431])).
% 267.22/39.42 thf(f9431,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/realax/real_le' @ sK3 @ X1) = $false)) ) | ~spl2_63),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f9430])).
% 267.22/39.42 thf(f9430,definition,(
% 267.22/39.42 spl2_63 <=> ! [X1 : 'type/realax/real'] : (('const/realax/real_le' @ sK3 @ X1) = $false)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_63])],[avatar_definition])).
% 267.22/39.42 thf(f9432,plain,(
% 267.22/39.42 spl2_62 | spl2_63 | ~spl2_13),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f9331,f855,f9430,f9427])).
% 267.22/39.42 thf(f855,definition,(
% 267.22/39.42 spl2_13 <=> ! [X0 : 'type/realax/real'] : (sK3 = (sK6 @ sK0 @ X0))),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_13])],[avatar_definition])).
% 267.22/39.42 thf(f9331,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ sK3 @ X1) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/realax/real_le' @ sK3 @ X0) = $false)) ) | ~spl2_13),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f9330,f856])).
% 267.22/39.42 thf(f856,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK6 @ sK0 @ X0))) ) | ~spl2_13),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f855])).
% 267.22/39.42 thf(f9330,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (('const/realax/real_le' @ sK3 @ X0) = $false)) ) | ~spl2_13),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f9324,f59])).
% 267.22/39.42 thf(f9324,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ sK3 @ X0) = $false) | (('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false)) ) | ~spl2_13),
% 267.22/39.42 inference(superposition,[status(thm)],[f214,f856])).
% 267.22/39.42 thf(f214,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/realax/real_le' @ (sK6 @ X1 @ X3) @ X3) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | (('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f210])).
% 267.22/39.42 thf(f210,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ (sK6 @ X1 @ X3) @ X3) = $false) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3))) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f209])).
% 267.22/39.42 thf(f8013,plain,(
% 267.22/39.42 ~spl2_35 | spl2_6 | ~spl2_50),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f6548,f6498,f245,f4497])).
% 267.22/39.42 thf(f6548,plain,(
% 267.22/39.42 (sK3 != ('const/sets/inf' @ sK0)) | (spl2_6 | ~spl2_50)),
% 267.22/39.42 inference(backward_demodulation,[status(thm)],[f246,f6500])).
% 267.22/39.42 thf(f246,plain,(
% 267.22/39.42 (('const/sets/sup' @ sK0) != ('const/sets/inf' @ sK0)) | spl2_6),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f245])).
% 267.22/39.42 thf(f7915,plain,(
% 267.22/39.42 spl2_59 | spl2_16 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4246,f241,f1001,f7913])).
% 267.22/39.42 thf(f4246,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | (sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4234,f59])).
% 267.22/39.42 thf(f4234,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | (sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4161])).
% 267.22/39.42 thf(f4161,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($false = $true) | (sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X1 @ (sK5 @ sK0 @ X1)) = $false) | (('const/realax/real_le' @ X1 @ ('const/sets/inf' @ sK0)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f153])).
% 267.22/39.42 thf(f153,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true) | (('const/realax/real_le' @ X3 @ (sK5 @ X1 @ X3)) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f152])).
% 267.22/39.42 thf(f152,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X3) @ X1) => ('const/realax/real_le' @ X3 @ (sK5 @ X1 @ X3))) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f151])).
% 267.22/39.42 thf(f151,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | (((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0))) @ (sK5 @ X1 @ X3)) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f146])).
% 267.22/39.42 thf(f146,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | ($false = (!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ X3 @ Y0))))) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f144])).
% 267.22/39.42 thf(f7802,plain,(
% 267.22/39.42 spl2_16 | ~spl2_5 | ~spl2_48),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f7768,f5205,f241,f1001])).
% 267.22/39.42 thf(f5205,definition,(
% 267.22/39.42 spl2_48 <=> ! [X1 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ sK0 @ X1) @ sK0) = $true)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_48])],[avatar_definition])).
% 267.22/39.42 thf(f7768,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK5 @ sK0 @ X0))) ) | (~spl2_5 | ~spl2_48)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f7765])).
% 267.22/39.42 thf(f7765,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = (sK5 @ sK0 @ X0)) | ($false = $true)) ) | (~spl2_5 | ~spl2_48)),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f5206])).
% 267.22/39.42 thf(f5206,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ sK0 @ X1) @ sK0) = $true)) ) | ~spl2_48),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f5205])).
% 267.22/39.42 thf(f6505,plain,(
% 267.22/39.42 spl2_50 | spl2_51 | ~spl2_5 | ~spl2_12 | ~spl2_45),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f6444,f5094,f852,f241,f6502,f6498])).
% 267.22/39.42 thf(f6444,plain,(
% 267.22/39.42 (sK3 = (sK6 @ sK0 @ sK3)) | (sK3 = ('const/sets/sup' @ sK0)) | (~spl2_5 | ~spl2_12 | ~spl2_45)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f6410])).
% 267.22/39.42 thf(f6410,plain,(
% 267.22/39.42 ($false = $true) | (sK3 = ('const/sets/sup' @ sK0)) | (sK3 = (sK6 @ sK0 @ sK3)) | (~spl2_5 | ~spl2_12 | ~spl2_45)),
% 267.22/39.42 inference(superposition,[status(thm)],[f5161,f4293])).
% 267.22/39.42 thf(f5161,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (sK3 = (sK6 @ sK0 @ X0)) | (('const/sets/sup' @ sK0) = X0)) ) | (~spl2_12 | ~spl2_45)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f5140])).
% 267.22/39.42 thf(f5140,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/sets/sup' @ sK0) = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (sK3 = (sK6 @ sK0 @ X0))) ) | (~spl2_12 | ~spl2_45)),
% 267.22/39.42 inference(superposition,[status(thm)],[f5095,f3831])).
% 267.22/39.42 thf(f5095,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (sK3 = (sK6 @ sK0 @ X0))) ) | ~spl2_45),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f5094])).
% 267.22/39.42 thf(f5207,plain,(
% 267.22/39.42 spl2_48 | spl2_43 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4242,f241,f4979,f5205])).
% 267.22/39.42 thf(f4242,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ (sK5 @ sK0 @ X1) @ sK0) = $true) | (sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4241,f59])).
% 267.22/39.42 thf(f4241,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((sK3 = (sK5 @ sK0 @ X0)) | (('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $true) | (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ sK0 @ X1) @ sK0) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4181])).
% 267.22/39.42 thf(f4181,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ ('const/sets/inf' @ sK0)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($false = $true) | (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ sK0 @ X1) @ sK0) = $true) | (sK3 = (sK5 @ sK0 @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f154,f4159])).
% 267.22/39.42 thf(f154,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (($true = ('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X3) @ X1)) | (('const/sets/IN' @ 'type/realax/real' @ (sK5 @ X1 @ X2) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ X3 @ ('const/sets/inf' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f152])).
% 267.22/39.42 thf(f5131,plain,(
% 267.22/39.42 ~spl2_34 | ~spl2_46),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f5130])).
% 267.22/39.42 thf(f5130,plain,(
% 267.22/39.42 $false | (~spl2_34 | ~spl2_46)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f5105])).
% 267.22/39.42 thf(f5105,plain,(
% 267.22/39.42 ($false = $true) | (~spl2_34 | ~spl2_46)),
% 267.22/39.42 inference(superposition,[status(thm)],[f5098,f3619])).
% 267.22/39.42 thf(f3619,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK1) = $true)) ) | ~spl2_34),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f3613])).
% 267.22/39.42 thf(f3613,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = $true) | (('const/realax/real_le' @ (sK6 @ sK0 @ X0) @ sK1) = $true)) ) | ~spl2_34),
% 267.22/39.42 inference(superposition,[status(thm)],[f3610,f103])).
% 267.22/39.42 thf(f3610,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK6 @ sK0 @ X0)) @ sK1) = $true)) ) | ~spl2_34),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f3609])).
% 267.22/39.42 thf(f3609,definition,(
% 267.22/39.42 spl2_34 <=> ! [X0 : 'type/realax/real'] : (('const/realax/real_le' @ ('const/realax/real_abs' @ (sK6 @ sK0 @ X0)) @ sK1) = $true)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_34])],[avatar_definition])).
% 267.22/39.42 thf(f5099,plain,(
% 267.22/39.42 spl2_45 | spl2_46 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4249,f241,f5097,f5094])).
% 267.22/39.42 thf(f4249,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (sK3 = (sK6 @ sK0 @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4226,f59])).
% 267.22/39.42 thf(f4226,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0)) | (sK3 = (sK6 @ sK0 @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4166])).
% 267.22/39.42 thf(f4166,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | ($false = $true) | (sK3 = (sK6 @ sK0 @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f212])).
% 267.22/39.42 thf(f212,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X3) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2) = $false) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3))) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f211])).
% 267.22/39.42 thf(f5024,plain,(
% 267.22/39.42 spl2_44 | spl2_13 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4245,f241,f855,f5022])).
% 267.22/39.42 thf(f4245,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true) | (sK3 = (sK6 @ sK0 @ X0)) | (('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f4237,f59])).
% 267.22/39.42 thf(f4237,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | (sK3 = (sK6 @ sK0 @ X0)) | (('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4165])).
% 267.22/39.42 thf(f4165,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (($false = $true) | (('const/realax/real_le' @ (sK6 @ sK0 @ X1) @ X1) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (sK3 = (sK6 @ sK0 @ X0)) | (('const/realax/real_le' @ ('const/sets/sup' @ sK0) @ X1) = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f4159,f215])).
% 267.22/39.42 thf(f215,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | ($true = ('const/realax/real_le' @ ('const/sets/sup' @ X1) @ X3)) | (('const/realax/real_le' @ (sK6 @ X1 @ X3) @ X3) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f210])).
% 267.22/39.42 thf(f4285,plain,(
% 267.22/39.42 ~spl2_26 | spl2_4 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f4276,f241,f233,f1504])).
% 267.22/39.42 thf(f4276,plain,(
% 267.22/39.42 ((sK0 @ sK3) != $false) | (spl2_4 | ~spl2_5)),
% 267.22/39.42 inference(backward_demodulation,[status(thm)],[f234,f4267])).
% 267.22/39.42 thf(f4267,plain,(
% 267.22/39.42 (sK3 = sK8) | (spl2_4 | ~spl2_5)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4263])).
% 267.22/39.42 thf(f4263,plain,(
% 267.22/39.42 ($false != $false) | (sK3 = sK8) | (spl2_4 | ~spl2_5)),
% 267.22/39.42 inference(superposition,[status(thm)],[f234,f4227])).
% 267.22/39.42 thf(f4227,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (($false = (sK0 @ X0)) | (sK3 = X0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f4200])).
% 267.22/39.42 thf(f4200,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = X0) | ($false = $true) | ($false = (sK0 @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f78,f4159])).
% 267.22/39.42 thf(f3801,plain,(
% 267.22/39.42 spl2_12 | ~spl2_34),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f3636,f3609,f852])).
% 267.22/39.42 thf(f3636,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK0)) = $true)) ) | ~spl2_34),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f3634,f59])).
% 267.22/39.42 thf(f3634,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK0)) = $true)) ) | ~spl2_34),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f3628])).
% 267.22/39.42 thf(f3628,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK0)) = $true) | ($false = $true) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_34),
% 267.22/39.42 inference(superposition,[status(thm)],[f197,f3619])).
% 267.22/39.42 thf(f197,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f196])).
% 267.22/39.42 thf(f196,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) => ('const/realax/real_le' @ (sK6 @ X1 @ X2) @ X2)) = $false) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1)) = $true)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f195])).
% 267.22/39.42 thf(f195,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1)) = $true) | (((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2))) @ (sK6 @ X1 @ X2)) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false)) )),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f194])).
% 267.22/39.42 thf(f194,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f193])).
% 267.22/39.42 thf(f193,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) => ('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1))) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f192])).
% 267.22/39.42 thf(f192,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (((^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1)))) @ X3) = $true)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f191])).
% 267.22/39.42 thf(f191,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f190])).
% 267.22/39.42 thf(f190,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/EMPTY' @ 'type/realax/real' = X1) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false)) )),
% 267.22/39.42 inference(not_proxy_clausification,[status(thm)],[f189])).
% 267.22/39.42 thf(f189,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))) = $true) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ X2)))) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f188])).
% 267.22/39.42 thf(f188,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X1 : 'type/realax/real' > $o] : (((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))) = $true) | (((^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0))))) @ X2) = $false)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f186])).
% 267.22/39.42 thf(f186,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real' > $o] : (((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (!! @ 'type/realax/real' @ (^[Y1 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y1 @ X1) => ('const/realax/real_le' @ Y1 @ Y0)))))) = $false) | ((!! @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/IN' @ 'type/realax/real' @ Y0 @ X1) => ('const/realax/real_le' @ Y0 @ ('const/sets/sup' @ X1))))) = $true) | ((~ ('const/sets/EMPTY' @ 'type/realax/real' = X1)) = $false)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f185])).
% 267.22/39.42 thf(f3611,plain,(
% 267.22/39.42 spl2_34 | spl2_12),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f621,f852,f3609])).
% 267.22/39.42 thf(f621,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/realax/real_abs' @ (sK6 @ sK0 @ X0)) @ sK1) = $true) | ($true = ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ sK0))) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) )),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f612,f59])).
% 267.22/39.42 thf(f612,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($true = ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ sK0))) | (('const/realax/real_le' @ ('const/realax/real_abs' @ (sK6 @ sK0 @ X0)) @ sK1) = $true) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f604])).
% 267.22/39.42 thf(f604,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | ($true = ('const/realax/real_le' @ X1 @ ('const/sets/sup' @ sK0))) | (('const/realax/real_le' @ ('const/realax/real_abs' @ (sK6 @ sK0 @ X0)) @ sK1) = $true) | ($true != $true)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f60,f198])).
% 267.22/39.42 thf(f198,plain,(
% 267.22/39.42 ( ! [X2 : 'type/realax/real',X3 : 'type/realax/real',X1 : 'type/realax/real' > $o] : ((('const/sets/IN' @ 'type/realax/real' @ (sK6 @ X1 @ X2) @ X1) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1) | (('const/sets/IN' @ 'type/realax/real' @ X3 @ X1) = $false) | (('const/realax/real_le' @ X3 @ ('const/sets/sup' @ X1)) = $true)) )),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f196])).
% 267.22/39.42 thf(f1003,plain,(
% 267.22/39.42 spl2_16 | spl2_11 | ~spl2_5),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f912,f241,f766,f1001])).
% 267.22/39.42 thf(f912,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true) | (sK3 = (sK5 @ sK0 @ X0))) ) | ~spl2_5),
% 267.22/39.42 inference(subsumption_resolution,[status(thm)],[f908,f59])).
% 267.22/39.42 thf(f908,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true) | (sK3 = (sK5 @ sK0 @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | (('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f897])).
% 267.22/39.42 thf(f897,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X1 @ sK0) = $false) | (sK3 = (sK5 @ sK0 @ X0)) | ('const/sets/EMPTY' @ 'type/realax/real' = sK0) | ($false = $true) | (('const/realax/real_le' @ ('const/sets/inf' @ sK0) @ X1) = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f161,f891])).
% 267.22/39.42 thf(f891,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | (sK3 = X0)) ) | ~spl2_5),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f890])).
% 267.22/39.42 thf(f890,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((sK3 = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false) | ($false = $true)) ) | ~spl2_5),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f887,f81])).
% 267.22/39.42 thf(f887,plain,(
% 267.22/39.42 ( ! [X0 : 'type/realax/real'] : ((('const/sets/IN' @ 'type/realax/real' @ X0 @ 'const/sets/EMPTY' @ 'type/realax/real') = $true) | (sK3 = X0) | (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK0) = $false)) ) | ~spl2_5),
% 267.22/39.42 inference(superposition,[status(thm)],[f172,f243])).
% 267.22/39.42 thf(f302,plain,(
% 267.22/39.42 ~spl2_1 | ~spl2_4),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f301])).
% 267.22/39.42 thf(f301,plain,(
% 267.22/39.42 $false | (~spl2_1 | ~spl2_4)),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f300])).
% 267.22/39.42 thf(f300,plain,(
% 267.22/39.42 ($false = $true) | (~spl2_1 | ~spl2_4)),
% 267.22/39.42 inference(forward_demodulation,[status(thm)],[f222,f235])).
% 267.22/39.42 thf(f235,plain,(
% 267.22/39.42 ((sK0 @ sK8) = $false) | ~spl2_4),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f233])).
% 267.22/39.42 thf(f222,plain,(
% 267.22/39.42 ((sK0 @ sK8) = $true) | ~spl2_1),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f220])).
% 267.22/39.42 thf(f220,definition,(
% 267.22/39.42 spl2_1 <=> ((sK0 @ sK8) = $true)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition])).
% 267.22/39.42 thf(f297,plain,(
% 267.22/39.42 ~spl2_2),
% 267.22/39.42 inference(avatar_contradiction_clause,[status(thm)],[f296])).
% 267.22/39.42 thf(f296,plain,(
% 267.22/39.42 $false | ~spl2_2),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f294])).
% 267.22/39.42 thf(f294,plain,(
% 267.22/39.42 ($false = $true) | ~spl2_2),
% 267.22/39.42 inference(backward_demodulation,[status(thm)],[f226,f268])).
% 267.22/39.42 thf(f268,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : ((('const/sets/EMPTY' @ X0 @ X1) = $false)) )),
% 267.22/39.42 inference(trivial_inequality_removal,[status(thm)],[f262])).
% 267.22/39.42 thf(f262,plain,(
% 267.22/39.42 ( ! [X0 : $tType,X1 : X0] : (($false = $true) | (('const/sets/EMPTY' @ X0 @ X1) = $false)) )),
% 267.22/39.42 inference(superposition,[status(thm)],[f78,f81])).
% 267.22/39.42 thf(f226,plain,(
% 267.22/39.42 (('const/sets/EMPTY' @ 'type/realax/real' @ sK8) = $true) | ~spl2_2),
% 267.22/39.42 inference(avatar_component_clause,[status(thm)],[f224])).
% 267.22/39.42 thf(f224,definition,(
% 267.22/39.42 spl2_2 <=> (('const/sets/EMPTY' @ 'type/realax/real' @ sK8) = $true)),
% 267.22/39.42 introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition])).
% 267.22/39.42 thf(f256,plain,(
% 267.22/39.42 spl2_7 | ~spl2_6),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f71,f245,f254])).
% 267.22/39.42 thf(f71,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((('const/sets/sup' @ sK0) != ('const/sets/inf' @ sK0)) | (('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') != sK0)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f70])).
% 267.22/39.42 thf(f70,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $false) | (('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') != sK0)) )),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f69])).
% 267.22/39.42 thf(f69,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : (((('const/sets/INSERT' @ 'type/realax/real' @ X1 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0) = $false) | ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $false)) )),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f68])).
% 267.22/39.42 thf(f68,plain,(
% 267.22/39.42 ( ! [X1 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0)) @ X1) = $false) | ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $false)) )),
% 267.22/39.42 inference(pi_clausification,[status(thm)],[f63])).
% 267.22/39.42 thf(f63,plain,(
% 267.22/39.42 ((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0))) = $false) | ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $false)),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 267.22/39.42 thf(f58,plain,(
% 267.22/39.42 ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) != (?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0))))),
% 267.22/39.42 inference(cnf_transformation,[status(thm)],[f47])).
% 267.22/39.42 thf(f248,plain,(
% 267.22/39.42 spl2_5 | spl2_6),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f67,f245,f241])).
% 267.22/39.42 thf(f67,plain,(
% 267.22/39.42 (sK0 = ('const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real')) | (('const/sets/sup' @ sK0) = ('const/sets/inf' @ sK0))),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f66])).
% 267.22/39.42 thf(f66,plain,(
% 267.22/39.42 (('const/sets/sup' @ sK0) = ('const/sets/inf' @ sK0)) | ((('const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0) = $true)),
% 267.22/39.42 inference(equality_proxy_clausification,[status(thm)],[f65])).
% 267.22/39.42 thf(f65,plain,(
% 267.22/39.42 ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $true) | ((('const/sets/INSERT' @ 'type/realax/real' @ sK3 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0) = $true)),
% 267.22/39.42 inference(beta_eta_normalization,[status(thm)],[f64])).
% 267.22/39.42 thf(f64,plain,(
% 267.22/39.42 ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $true) | (((^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0)) @ sK3) = $true)),
% 267.22/39.42 inference(sigma_clausification,[status(thm)],[f62])).
% 267.22/39.42 thf(f62,plain,(
% 267.22/39.42 ((?? @ 'type/realax/real' @ (^[Y0 : 'type/realax/real']: (('const/sets/INSERT' @ 'type/realax/real' @ Y0 @ 'const/sets/EMPTY' @ 'type/realax/real') = sK0))) = $true) | ((('const/sets/inf' @ sK0) = ('const/sets/sup' @ sK0)) = $true)),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 267.22/39.42 thf(f227,plain,(
% 267.22/39.42 spl2_1 | spl2_2),
% 267.22/39.42 inference(avatar_split_clause,[status(thm)],[f217,f224,f220])).
% 267.22/39.42 thf(f217,plain,(
% 267.22/39.42 (('const/sets/EMPTY' @ 'type/realax/real' @ sK8) = $true) | ((sK0 @ sK8) = $true)),
% 267.22/39.42 inference(binary_proxy_clausification,[status(thm)],[f216])).
% 267.22/39.42 thf(f216,plain,(
% 267.22/39.42 ((sK0 @ sK8) != ('const/sets/EMPTY' @ 'type/realax/real' @ sK8))),
% 267.22/39.42 inference(negative_extensionality,[status(thm)],[f59])).
% 267.22/39.42 % SZS output end Proof for DTF2THF_19410
% 267.22/39.42 % (20627)------------------------------
% 267.22/39.42 % (20627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 267.22/39.42 % (20627)Termination reason: Refutation
% 267.22/39.42
% 267.22/39.42 % (20627)Memory used [KB]: 10490
% 267.22/39.42 % (20627)Time elapsed: 1.722 s
% 267.22/39.42 % (20627)Instructions burned: 5384 (million)
% 267.22/39.42 % (20627)------------------------------
% 267.22/39.42 % (20627)------------------------------
% 267.22/39.42 % (19506)Success in time 37.977 s
%------------------------------------------------------------------------------