%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP012^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 08:53:28 AM UTC 2026
% Result : Theorem 8.20s 2.43s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 9 unt; 0 typ; 8 def)
% Number of atoms : 308 ( 87 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 408 ( 51 ~; 55 |; 6 &; 280 @)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 13 con; 0-3 aty)
% Number of variables : 59 ( 0 ^; 53 !; 6 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
tyop_2Einteger_2Eint: $tType ).
thf(func_def_0,type,
tyop_2Einteger_2Eint: $tType ).
thf(func_def_1,type,
tyop_2Emin_2Ebool: $tType ).
thf(func_def_2,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_5,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_6,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_7,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_11,type,
c_2Einteger_2Eint__add: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_12,type,
c_2Einteger_2Eint__divides: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o ).
thf(func_def_13,type,
c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_14,type,
c_2Einteger_2Eint__sub: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_15,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_25,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_26,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_27,type,
sK2:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_28,type,
sK3: tyop_2Einteger_2Eint ).
thf(func_def_29,type,
sK4: tyop_2Einteger_2Eint ).
thf(func_def_30,type,
sK5: tyop_2Einteger_2Eint ).
thf(func_def_32,type,
ph7:
!>[X0: $tType] : X0 ).
thf(f3535,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f179,f188,f197,f242,f3439,f3457,f3466,f3469,f3534]) ).
thf(f3534,plain,
( spl6_4
| ~ spl6_5
| ~ spl6_127 ),
inference(avatar_contradiction_clause,[status(thm)],[f3533]) ).
thf(f3533,plain,
( $false
| spl6_4
| ~ spl6_5
| ~ spl6_127 ),
inference(subsumption_resolution,[status(thm)],[f3532,f182]) ).
thf(f182,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
!= $true )
| spl6_4 ),
inference(avatar_component_clause,[status(thm)],[f181]) ).
thf(f181,definition,
( spl6_4
<=> ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition]) ).
thf(f3532,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true )
| ~ spl6_5
| ~ spl6_127 ),
inference(subsumption_resolution,[status(thm)],[f3516,f3434]) ).
thf(f3434,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
= $true )
| ~ spl6_127 ),
inference(avatar_component_clause,[status(thm)],[f3433]) ).
thf(f3433,definition,
( spl6_127
<=> ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_127])],[avatar_definition]) ).
thf(f3516,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true )
| ~ spl6_5 ),
inference(trivial_inequality_removal,[status(thm)],[f3508]) ).
thf(f3508,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true )
| ( $false = $true )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ~ spl6_5 ),
inference(superposition,[status(thm)],[f757,f187]) ).
thf(f187,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) )
= $true )
| ~ spl6_5 ),
inference(avatar_component_clause,[status(thm)],[f185]) ).
thf(f185,definition,
( spl6_5
<=> ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_5])],[avatar_definition]) ).
thf(f757,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X0 @ X1 ) )
= $false )
| ( $true
= ( c_2Einteger_2Eint__divides @ X2 @ X0 ) )
| ( ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__neg @ X1 ) )
!= $true ) ),
inference(superposition,[status(thm)],[f158,f139]) ).
thf(f139,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__add @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) )
= ( c_2Einteger_2Eint__sub @ X0 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
thf(f99,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__add @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) )
= ( c_2Einteger_2Eint__sub @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,axiom,
! [X16: tyop_2Einteger_2Eint,X17: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__sub @ X16 @ X17 )
= ( c_2Einteger_2Eint__add @ X16 @ ( c_2Einteger_2Eint__neg @ X17 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2Eint__sub) ).
thf(f158,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= $false )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
= $true )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f140]) ).
thf(f140,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true )
| ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
thf(f100,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f69]) ).
thf(f69,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= $true )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(fool_elimination,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f21]) ).
thf(f21,axiom,
! [X18: tyop_2Einteger_2Eint,X19: tyop_2Einteger_2Eint,X20: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X18 @ X19 )
=> ( ( c_2Einteger_2Eint__divides @ X18 @ ( c_2Einteger_2Eint__add @ X20 @ X19 ) )
= ( c_2Einteger_2Eint__divides @ X18 @ X20 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(f3469,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
!= $true )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
!= $false )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f3466,plain,
( ( $false
!= ( c_2Einteger_2Eint__divides @ sK3 @ sK5 ) )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
!= $true )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f3457,plain,
( spl6_129
| spl6_127 ),
inference(avatar_split_clause,[status(thm)],[f3446,f3433,f3454]) ).
thf(f3454,definition,
( spl6_129
<=> ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl6_129])],[avatar_definition]) ).
thf(f3446,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $false )
| spl6_127 ),
inference(trivial_inequality_removal,[status(thm)],[f3442]) ).
thf(f3442,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $false )
| ( $true != $true )
| spl6_127 ),
inference(superposition,[status(thm)],[f3435,f166]) ).
thf(f166,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( $true
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f132]) ).
thf(f132,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
thf(f98,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) )
& ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ X0 ) @ X1 ) ) ),
inference(rectify,[status(thm)],[f22]) ).
thf(f22,axiom,
! [X18: tyop_2Einteger_2Eint,X19: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X18 @ X19 )
= ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ X18 ) @ X19 ) )
& ( ( c_2Einteger_2Eint__divides @ X18 @ X19 )
= ( c_2Einteger_2Eint__divides @ X18 @ ( c_2Einteger_2Eint__neg @ X19 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(f3435,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| spl6_127 ),
inference(avatar_component_clause,[status(thm)],[f3433]) ).
thf(f3439,plain,
( ~ spl6_127
| ~ spl6_4
| ~ spl6_6 ),
inference(avatar_split_clause,[status(thm)],[f3438,f190,f181,f3433]) ).
thf(f190,definition,
( spl6_6
<=> ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl6_6])],[avatar_definition]) ).
thf(f3438,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ~ spl6_4
| ~ spl6_6 ),
inference(trivial_inequality_removal,[status(thm)],[f3437]) ).
thf(f3437,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ( $false = $true )
| ~ spl6_4
| ~ spl6_6 ),
inference(forward_demodulation,[status(thm)],[f3427,f183]) ).
thf(f183,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true )
| ~ spl6_4 ),
inference(avatar_component_clause,[status(thm)],[f181]) ).
thf(f3427,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ sK5 ) )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ~ spl6_6 ),
inference(trivial_inequality_removal,[status(thm)],[f3424]) ).
thf(f3424,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ sK5 ) )
| ( $false = $true )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__neg @ sK4 ) )
!= $true )
| ~ spl6_6 ),
inference(superposition,[status(thm)],[f192,f744]) ).
thf(f744,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X0 @ X1 ) )
= $true )
| ( ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__neg @ X1 ) )
!= $true )
| ( $false
= ( c_2Einteger_2Eint__divides @ X2 @ X0 ) ) ),
inference(superposition,[status(thm)],[f157,f139]) ).
thf(f157,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= $true )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
= $false )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f140]) ).
thf(f192,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[status(thm)],[f190]) ).
thf(f242,plain,
~ spl6_9,
inference(avatar_contradiction_clause,[status(thm)],[f241]) ).
thf(f241,plain,
( $false
| ~ spl6_9 ),
inference(trivial_inequality_removal,[status(thm)],[f209]) ).
thf(f209,plain,
( ( $false = $true )
| ~ spl6_9 ),
inference(avatar_component_clause,[status(thm)],[f208]) ).
thf(f208,definition,
( spl6_9
<=> ( $false = $true ) ),
introduced(definition,[new_symbols(naming,[spl6_9])],[avatar_definition]) ).
thf(f197,plain,
( spl6_6
| spl6_7 ),
inference(avatar_split_clause,[status(thm)],[f160,f194,f190]) ).
thf(f194,definition,
( spl6_7
<=> ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ sK5 ) ) ),
introduced(definition,[new_symbols(naming,[spl6_7])],[avatar_definition]) ).
thf(f160,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) )
| ( $false
= ( c_2Einteger_2Eint__divides @ sK3 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f122]) ).
thf(f122,plain,
( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
!= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
thf(f112,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
!= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) )
& ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f103,f111]) ).
thf(f111,plain,
( ? [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
!= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) ) )
& ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= $true ) )
=> ( ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
!= ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) ) )
& ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f103,plain,
? [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
!= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) ) )
& ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f41]) ).
thf(f41,plain,
~ ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= $true )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f40]) ).
thf(f40,plain,
~ ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ X2 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f34]) ).
thf(f34,negated_conjecture,
~ ! [X18: tyop_2Einteger_2Eint,X19: tyop_2Einteger_2Eint,X20: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X18 @ X19 )
=> ( ( c_2Einteger_2Eint__divides @ X18 @ X20 )
= ( c_2Einteger_2Eint__divides @ X18 @ ( c_2Einteger_2Eint__sub @ X20 @ X19 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
thf(f33,conjecture,
! [X18: tyop_2Einteger_2Eint,X19: tyop_2Einteger_2Eint,X20: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X18 @ X19 )
=> ( ( c_2Einteger_2Eint__divides @ X18 @ X20 )
= ( c_2Einteger_2Eint__divides @ X18 @ ( c_2Einteger_2Eint__sub @ X20 @ X19 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(f188,plain,
( spl6_4
| spl6_5 ),
inference(avatar_split_clause,[status(thm)],[f159,f185,f181]) ).
thf(f159,plain,
( ( ( c_2Einteger_2Eint__divides @ sK3 @ ( c_2Einteger_2Eint__sub @ sK5 @ sK4 ) )
= $true )
| ( ( c_2Einteger_2Eint__divides @ sK3 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f122]) ).
thf(f179,plain,
spl6_3,
inference(avatar_split_clause,[status(thm)],[f121,f176]) ).
thf(f176,definition,
( spl6_3
<=> ( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition]) ).
thf(f121,plain,
( ( c_2Einteger_2Eint__divides @ sK3 @ sK4 )
= $true ),
inference(cnf_transformation,[status(thm)],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP012^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Feb 24 08:20:11 EST 2026
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.27/0.46 ---- Original DTF file ---
% 0.27/0.46 thf(spec,logic,$$dhol).
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 % File : ITP012^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.27/0.46 % Domain : Interactive Theorem Proving
% 0.27/0.46 % Problem : HOL4 syntactic export of thm_2Einteger_2EINT__DIVIDES__RSUB.p, bushy mode
% 0.27/0.46 % Version : [BG+19] axioms.
% 0.27/0.46 % English :
% 0.27/0.46
% 0.27/0.46 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.27/0.46 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.27/0.46 % Source : [BG+19]
% 0.27/0.46 % Names : thm_2Einteger_2EINT__DIVIDES__RSUB.p [Gau19]
% 0.27/0.46 % : HL405501^3.p [TPAP]
% 0.27/0.46
% 0.27/0.46 % Status : Theorem
% 0.27/0.46 % Rating : 0.33 v8.1.0, 0.25 v7.5.0
% 0.27/0.46 % Syntax : Number of formulae : 49 ( 8 unt; 16 typ; 0 def)
% 0.27/0.46 % Number of atoms : 102 ( 12 equ; 46 cnn)
% 0.27/0.46 % Maximal formula atoms : 8 ( 3 avg)
% 0.27/0.46 % Number of connectives : 274 ( 46 ~; 34 |; 27 &; 99 @)
% 0.27/0.46 % ( 38 <=>; 30 =>; 0 <=; 0 <~>)
% 0.27/0.46 % Maximal formula depth : 11 ( 6 avg)
% 0.27/0.46 % Number of types : 3 ( 2 usr)
% 0.27/0.46 % Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% 0.27/0.46 % Number of symbols : 16 ( 14 usr; 3 con; 0-3 aty)
% 0.27/0.46 % Number of variables : 74 ( 0 ^; 69 !; 2 ?; 74 :)
% 0.27/0.46 % ( 3 !>; 0 ?*; 0 @-; 0 @+)
% 0.27/0.46 % SPC : TH1_THM_EQU_NAR
% 0.27/0.46
% 0.27/0.46 % Comments :
% 0.27/0.46 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 thf(tyop_2Einteger_2Eint,type,
% 0.27/0.46 tyop_2Einteger_2Eint: $tType ).
% 0.27/0.46
% 0.27/0.46 thf(tyop_2Emin_2Ebool,type,
% 0.27/0.46 tyop_2Emin_2Ebool: $tType ).
% 0.27/0.46
% 0.27/0.46 thf(tyop_2Emin_2Efun,type,
% 0.27/0.46 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2E_21,type,
% 0.27/0.46 c_2Ebool_2E_21:
% 0.27/0.46 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2E_2F_5C,type,
% 0.27/0.46 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Emin_2E_3D,type,
% 0.27/0.46 c_2Emin_2E_3D:
% 0.27/0.46 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Emin_2E_3D_3D_3E,type,
% 0.27/0.46 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2E_3F,type,
% 0.27/0.46 c_2Ebool_2E_3F:
% 0.27/0.46 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2EF,type,
% 0.27/0.46 c_2Ebool_2EF: $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2ET,type,
% 0.27/0.46 c_2Ebool_2ET: $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2E_5C_2F,type,
% 0.27/0.46 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Einteger_2Eint__add,type,
% 0.27/0.46 c_2Einteger_2Eint__add: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Einteger_2Eint__divides,type,
% 0.27/0.46 c_2Einteger_2Eint__divides: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Einteger_2Eint__neg,type,
% 0.27/0.46 c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Einteger_2Eint__sub,type,
% 0.27/0.46 c_2Einteger_2Eint__sub: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 0.27/0.46
% 0.27/0.46 thf(c_2Ebool_2E_7E,type,
% 0.27/0.46 c_2Ebool_2E_7E: $o > $o ).
% 0.27/0.46
% 0.27/0.46 thf(logicdef_2E_2F_5C,axiom,
% 0.27/0.46 ! [V0: $o,V1: $o] :
% 0.27/0.46 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.27/0.46 <=> ( V0
% 0.27/0.46 & V1 ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(logicdef_2E_5C_2F,axiom,
% 0.27/0.46 ! [V0: $o,V1: $o] :
% 0.27/0.46 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.27/0.46 <=> ( V0
% 0.27/0.46 | V1 ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(logicdef_2E_7E,axiom,
% 0.27/0.46 ! [V0: $o] :
% 0.27/0.46 ( ( c_2Ebool_2E_7E @ V0 )
% 0.27/0.46 <=> ( (~) @ V0 ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(logicdef_2E_3D_3D_3E,axiom,
% 0.27/0.46 ! [V0: $o,V1: $o] :
% 0.27/0.46 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.27/0.46 <=> ( V0
% 0.27/0.46 => V1 ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(logicdef_2E_3D,axiom,
% 0.27/0.46 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 0.27/0.46 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 0.27/0.46 <=> ( V0 = V1 ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(quantdef_2E_21,axiom,
% 0.27/0.46 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.27/0.46 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 0.27/0.46 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(quantdef_2E_3F,axiom,
% 0.27/0.46 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.27/0.46 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 0.27/0.46 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.27/0.46 c_2Ebool_2ET ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.27/0.46 ! [V0t1: $o,V1t2: $o] :
% 0.27/0.46 ( ( V0t1
% 0.27/0.46 => V1t2 )
% 0.27/0.46 => ( ( V1t2
% 0.27/0.46 => V0t1 )
% 0.27/0.46 => ( V0t1 = V1t2 ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EIMP__F,axiom,
% 0.27/0.46 ! [V0t: $o] :
% 0.27/0.46 ( ( V0t
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 => ( (~) @ V0t ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EF__IMP,axiom,
% 0.27/0.46 ! [V0t: $o] :
% 0.27/0.46 ( ( (~) @ V0t )
% 0.27/0.46 => ( V0t
% 0.27/0.46 => c_2Ebool_2EF ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.27/0.46 ! [V0t: $o] :
% 0.27/0.46 ( ( ( c_2Ebool_2ET
% 0.27/0.46 => V0t )
% 0.27/0.46 <=> V0t )
% 0.27/0.46 & ( ( V0t
% 0.27/0.46 => c_2Ebool_2ET )
% 0.27/0.46 <=> c_2Ebool_2ET )
% 0.27/0.46 & ( ( c_2Ebool_2EF
% 0.27/0.46 => V0t )
% 0.27/0.46 <=> c_2Ebool_2ET )
% 0.27/0.46 & ( ( V0t
% 0.27/0.46 => V0t )
% 0.27/0.46 <=> c_2Ebool_2ET )
% 0.27/0.46 & ( ( V0t
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.27/0.46 ( ! [V0t: $o] :
% 0.27/0.46 ( ( (~) @ ( (~) @ V0t ) )
% 0.27/0.46 <=> V0t )
% 0.27/0.46 & ( ( (~) @ c_2Ebool_2ET )
% 0.27/0.46 <=> c_2Ebool_2EF )
% 0.27/0.46 & ( ( (~) @ c_2Ebool_2EF )
% 0.27/0.46 <=> c_2Ebool_2ET ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.27/0.46 ! [V0t: $o] :
% 0.27/0.46 ( ( ( c_2Ebool_2ET = V0t )
% 0.27/0.46 <=> V0t )
% 0.27/0.46 & ( ( V0t = c_2Ebool_2ET )
% 0.27/0.46 <=> V0t )
% 0.27/0.46 & ( ( c_2Ebool_2EF = V0t )
% 0.27/0.46 <=> ( (~) @ V0t ) )
% 0.27/0.46 & ( ( V0t = c_2Ebool_2EF )
% 0.27/0.46 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2ENOT__FORALL__THM,axiom,
% 0.27/0.46 ! [A_27a: $tType,V0P: A_27a > $o] :
% 0.27/0.46 ( ( (~)
% 0.27/0.46 @ ! [V1x: A_27a] : ( V0P @ V1x ) )
% 0.27/0.46 <=> ? [V2x: A_27a] : ( (~) @ ( V0P @ V2x ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EFORALL__AND__THM,axiom,
% 0.27/0.46 ! [A_27a: $tType,V0P: A_27a > $o,V1Q: A_27a > $o] :
% 0.27/0.46 ( ! [V2x: A_27a] :
% 0.27/0.46 ( ( V0P @ V2x )
% 0.27/0.46 & ( V1Q @ V2x ) )
% 0.27/0.46 <=> ( ! [V3x: A_27a] : ( V0P @ V3x )
% 0.27/0.46 & ! [V4x: A_27a] : ( V1Q @ V4x ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 0.27/0.46 ! [V0A: $o,V1B: $o,V2C: $o] :
% 0.27/0.46 ( ( V0A
% 0.27/0.46 | V1B
% 0.27/0.46 | V2C )
% 0.27/0.46 <=> ( V0A
% 0.27/0.46 | V1B
% 0.27/0.46 | V2C ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 0.27/0.46 ! [V0A: $o,V1B: $o] :
% 0.27/0.46 ( ( V0A
% 0.27/0.46 | V1B )
% 0.27/0.46 <=> ( V1B
% 0.27/0.46 | V0A ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 0.27/0.46 ! [V0A: $o,V1B: $o] :
% 0.27/0.46 ( ( ( (~)
% 0.27/0.46 @ ( V0A
% 0.27/0.46 & V1B ) )
% 0.27/0.46 <=> ( ( (~) @ V0A )
% 0.27/0.46 | ( (~) @ V1B ) ) )
% 0.27/0.46 & ( ( (~)
% 0.27/0.46 @ ( V0A
% 0.27/0.46 | V1B ) )
% 0.27/0.46 <=> ( ( (~) @ V0A )
% 0.27/0.46 & ( (~) @ V1B ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Einteger_2Eint__sub,axiom,
% 0.27/0.46 ! [V0x: tyop_2Einteger_2Eint,V1y: tyop_2Einteger_2Eint] :
% 0.27/0.46 ( ( c_2Einteger_2Eint__sub @ V0x @ V1y )
% 0.27/0.46 = ( c_2Einteger_2Eint__add @ V0x @ ( c_2Einteger_2Eint__neg @ V1y ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
% 0.27/0.46 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint,V2r: tyop_2Einteger_2Eint] :
% 0.27/0.46 ( ( c_2Einteger_2Eint__divides @ V0p @ V1q )
% 0.27/0.46 => ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__add @ V2r @ V1q ) )
% 0.27/0.46 = ( c_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
% 0.27/0.46 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint] :
% 0.27/0.46 ( ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__neg @ V1q ) )
% 0.27/0.46 = ( c_2Einteger_2Eint__divides @ V0p @ V1q ) )
% 0.27/0.46 & ( ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ V0p ) @ V1q )
% 0.27/0.46 = ( c_2Einteger_2Eint__divides @ V0p @ V1q ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.27/0.46 ! [V0t: $o] :
% 0.27/0.46 ( ( (~) @ ( (~) @ V0t ) )
% 0.27/0.46 <=> V0t ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.27/0.46 ! [V0A: $o] :
% 0.27/0.46 ( V0A
% 0.27/0.46 => ( ( (~) @ V0A )
% 0.27/0.46 => c_2Ebool_2EF ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.27/0.46 ! [V0B: $o,V1A: $o] :
% 0.27/0.46 ( ( ( (~)
% 0.27/0.46 @ ( V1A
% 0.27/0.46 | V0B ) )
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 <=> ( ( V1A
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 => ( ( (~) @ V0B )
% 0.27/0.46 => c_2Ebool_2EF ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.27/0.46 ! [V0B: $o,V1A: $o] :
% 0.27/0.46 ( ( ( (~)
% 0.27/0.46 @ ( ( (~) @ V1A )
% 0.27/0.46 | V0B ) )
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 <=> ( V1A
% 0.27/0.46 => ( ( (~) @ V0B )
% 0.27/0.46 => c_2Ebool_2EF ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.27/0.46 ! [V0A: $o] :
% 0.27/0.46 ( ( ( (~) @ V0A )
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 => ( ( V0A
% 0.27/0.46 => c_2Ebool_2EF )
% 0.27/0.46 => c_2Ebool_2EF ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2Edc__eq,axiom,
% 0.27/0.46 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.46 ( ( V2p
% 0.27/0.46 <=> ( V1q = V0r ) )
% 0.27/0.46 <=> ( ( V2p
% 0.27/0.46 | V1q
% 0.27/0.46 | V0r )
% 0.27/0.46 & ( V2p
% 0.27/0.46 | ( (~) @ V0r )
% 0.27/0.46 | ( (~) @ V1q ) )
% 0.27/0.46 & ( V1q
% 0.27/0.46 | ( (~) @ V0r )
% 0.27/0.46 | ( (~) @ V2p ) )
% 0.27/0.46 & ( V0r
% 0.27/0.46 | ( (~) @ V1q )
% 0.27/0.46 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2Edc__conj,axiom,
% 0.27/0.46 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.46 ( ( V2p
% 0.27/0.46 <=> ( V1q
% 0.27/0.46 & V0r ) )
% 0.27/0.46 <=> ( ( V2p
% 0.27/0.46 | ( (~) @ V1q )
% 0.27/0.46 | ( (~) @ V0r ) )
% 0.27/0.46 & ( V1q
% 0.27/0.46 | ( (~) @ V2p ) )
% 0.27/0.46 & ( V0r
% 0.27/0.46 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2Edc__disj,axiom,
% 0.27/0.46 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.46 ( ( V2p
% 0.27/0.46 <=> ( V1q
% 0.27/0.46 | V0r ) )
% 0.27/0.46 <=> ( ( V2p
% 0.27/0.46 | ( (~) @ V1q ) )
% 0.27/0.46 & ( V2p
% 0.27/0.46 | ( (~) @ V0r ) )
% 0.27/0.46 & ( V1q
% 0.27/0.46 | V0r
% 0.27/0.46 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2Edc__imp,axiom,
% 0.27/0.46 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.46 ( ( V2p
% 0.27/0.46 <=> ( V1q
% 0.27/0.46 => V0r ) )
% 0.27/0.46 <=> ( ( V2p
% 0.27/0.46 | V1q )
% 0.27/0.46 & ( V2p
% 0.27/0.46 | ( (~) @ V0r ) )
% 0.27/0.46 & ( ( (~) @ V1q )
% 0.27/0.46 | V0r
% 0.27/0.46 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Esat_2Edc__neg,axiom,
% 0.27/0.46 ! [V0q: $o,V1p: $o] :
% 0.27/0.46 ( ( V1p
% 0.27/0.46 <=> ( (~) @ V0q ) )
% 0.27/0.46 <=> ( ( V1p
% 0.27/0.46 | V0q )
% 0.27/0.46 & ( ( (~) @ V0q )
% 0.27/0.46 | ( (~) @ V1p ) ) ) ) ).
% 0.27/0.46
% 0.27/0.46 thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
% 0.27/0.46 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint,V2r: tyop_2Einteger_2Eint] :
% 0.27/0.46 ( ( c_2Einteger_2Eint__divides @ V0p @ V1q )
% 0.27/0.46 => ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__sub @ V2r @ V1q ) )
% 0.27/0.46 = ( c_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).
% 0.27/0.46
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 ------------------------
% 1.77/1.38 ---- Embedded in THF ---
% 1.77/1.38 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.77/1.38 %%% Generated on Tue Feb 24 08:20:11 EST 2026
% 1.77/1.38 %%% using '$$dhol' embedding, version 1.3.0.
% 1.77/1.38 %%% Logic specification used:
% 1.77/1.38 %%% thf(spec, logic, $$dhol).
% 1.77/1.38
% 1.77/1.38 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2DTF21573.p
% See solution above
% 1.77/1.38 ------------------------
% 1.77/1.39 ---- Cleaned THF ---
% 1.77/1.39 thf(tyop_2Einteger_2Eint,type,
% 1.77/1.39 tyop_2Einteger_2Eint: $tType ).
% 1.77/1.39
% 1.77/1.39 thf(tyop_2Emin_2Ebool,type,
% 1.77/1.39 tyop_2Emin_2Ebool: $tType ).
% 1.77/1.39
% 1.77/1.39 thf(tyop_2Emin_2Efun,type,
% 1.77/1.39 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2E_21,type,
% 1.77/1.39 c_2Ebool_2E_21:
% 1.77/1.39 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2E_2F_5C,type,
% 1.77/1.39 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Emin_2E_3D,type,
% 1.77/1.39 c_2Emin_2E_3D:
% 1.77/1.39 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Emin_2E_3D_3D_3E,type,
% 1.77/1.39 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2E_3F,type,
% 1.77/1.39 c_2Ebool_2E_3F:
% 1.77/1.39 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2EF,type,
% 1.77/1.39 c_2Ebool_2EF: $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2ET,type,
% 1.77/1.39 c_2Ebool_2ET: $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2E_5C_2F,type,
% 1.77/1.39 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Einteger_2Eint__add,type,
% 1.77/1.39 c_2Einteger_2Eint__add: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Einteger_2Eint__divides,type,
% 1.77/1.39 c_2Einteger_2Eint__divides: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Einteger_2Eint__neg,type,
% 1.77/1.39 c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Einteger_2Eint__sub,type,
% 1.77/1.39 c_2Einteger_2Eint__sub: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
% 1.77/1.39
% 1.77/1.39 thf(c_2Ebool_2E_7E,type,
% 1.77/1.39 c_2Ebool_2E_7E: $o > $o ).
% 1.77/1.39
% 1.77/1.39 thf(logicdef_2E_2F_5C,axiom,
% 1.77/1.39 ! [V0: $o,V1: $o] :
% 1.77/1.39 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 1.77/1.39 <=> ( V0
% 1.77/1.39 & V1 ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(logicdef_2E_5C_2F,axiom,
% 1.77/1.39 ! [V0: $o,V1: $o] :
% 1.77/1.39 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 1.77/1.39 <=> ( V0
% 1.77/1.39 | V1 ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(logicdef_2E_7E,axiom,
% 1.77/1.39 ! [V0: $o] :
% 1.77/1.39 ( ( c_2Ebool_2E_7E @ V0 )
% 1.77/1.39 <=> ( (~) @ V0 ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(logicdef_2E_3D_3D_3E,axiom,
% 1.77/1.39 ! [V0: $o,V1: $o] :
% 1.77/1.39 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 1.77/1.39 <=> ( V0
% 1.77/1.39 => V1 ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(logicdef_2E_3D,axiom,
% 1.77/1.39 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 1.77/1.39 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 1.77/1.39 <=> ( V0 = V1 ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(quantdef_2E_21,axiom,
% 1.77/1.39 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.77/1.39 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 1.77/1.39 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(quantdef_2E_3F,axiom,
% 1.77/1.39 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.77/1.39 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 1.77/1.39 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2ETRUTH,axiom,
% 1.77/1.39 c_2Ebool_2ET ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 1.77/1.39 ! [V0t1: $o,V1t2: $o] :
% 1.77/1.39 ( ( V0t1
% 1.77/1.39 => V1t2 )
% 1.77/1.39 => ( ( V1t2
% 1.77/1.39 => V0t1 )
% 1.77/1.39 => ( V0t1 = V1t2 ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EIMP__F,axiom,
% 1.77/1.39 ! [V0t: $o] :
% 1.77/1.39 ( ( V0t
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 => ( (~) @ V0t ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EF__IMP,axiom,
% 1.77/1.39 ! [V0t: $o] :
% 1.77/1.39 ( ( (~) @ V0t )
% 1.77/1.39 => ( V0t
% 1.77/1.39 => c_2Ebool_2EF ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 1.77/1.39 ! [V0t: $o] :
% 1.77/1.39 ( ( ( c_2Ebool_2ET
% 1.77/1.39 => V0t )
% 1.77/1.39 <=> V0t )
% 1.77/1.39 & ( ( V0t
% 1.77/1.39 => c_2Ebool_2ET )
% 1.77/1.39 <=> c_2Ebool_2ET )
% 1.77/1.39 & ( ( c_2Ebool_2EF
% 1.77/1.39 => V0t )
% 1.77/1.39 <=> c_2Ebool_2ET )
% 1.77/1.39 & ( ( V0t
% 1.77/1.39 => V0t )
% 1.77/1.39 <=> c_2Ebool_2ET )
% 1.77/1.39 & ( ( V0t
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 <=> ( (~) @ V0t ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 1.77/1.39 ( ! [V0t: $o] :
% 1.77/1.39 ( ( (~) @ ( (~) @ V0t ) )
% 1.77/1.39 <=> V0t )
% 1.77/1.39 & ( ( (~) @ c_2Ebool_2ET )
% 1.77/1.39 <=> c_2Ebool_2EF )
% 1.77/1.39 & ( ( (~) @ c_2Ebool_2EF )
% 1.77/1.39 <=> c_2Ebool_2ET ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 1.77/1.39 ! [V0t: $o] :
% 1.77/1.39 ( ( ( c_2Ebool_2ET = V0t )
% 1.77/1.39 <=> V0t )
% 1.77/1.39 & ( ( V0t = c_2Ebool_2ET )
% 1.77/1.39 <=> V0t )
% 1.77/1.39 & ( ( c_2Ebool_2EF = V0t )
% 1.77/1.39 <=> ( (~) @ V0t ) )
% 1.77/1.39 & ( ( V0t = c_2Ebool_2EF )
% 1.77/1.39 <=> ( (~) @ V0t ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2ENOT__FORALL__THM,axiom,
% 1.77/1.39 ! [A_27a: $tType,V0P: A_27a > $o] :
% 1.77/1.39 ( ( (~)
% 1.77/1.39 @ ! [V1x: A_27a] : ( V0P @ V1x ) )
% 1.77/1.39 <=> ? [V2x: A_27a] : ( (~) @ ( V0P @ V2x ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EFORALL__AND__THM,axiom,
% 1.77/1.39 ! [A_27a: $tType,V0P: A_27a > $o,V1Q: A_27a > $o] :
% 1.77/1.39 ( ! [V2x: A_27a] :
% 1.77/1.39 ( ( V0P @ V2x )
% 1.77/1.39 & ( V1Q @ V2x ) )
% 1.77/1.39 <=> ( ! [V3x: A_27a] : ( V0P @ V3x )
% 1.77/1.39 & ! [V4x: A_27a] : ( V1Q @ V4x ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 1.77/1.39 ! [V0A: $o,V1B: $o,V2C: $o] :
% 1.77/1.39 ( ( V0A
% 1.77/1.39 | V1B
% 1.77/1.39 | V2C )
% 1.77/1.39 <=> ( V0A
% 1.77/1.39 | V1B
% 1.77/1.39 | V2C ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 1.77/1.39 ! [V0A: $o,V1B: $o] :
% 1.77/1.39 ( ( V0A
% 1.77/1.39 | V1B )
% 1.77/1.39 <=> ( V1B
% 1.77/1.39 | V0A ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 1.77/1.39 ! [V0A: $o,V1B: $o] :
% 1.77/1.39 ( ( ( (~)
% 1.77/1.39 @ ( V0A
% 1.77/1.39 & V1B ) )
% 1.77/1.39 <=> ( ( (~) @ V0A )
% 1.77/1.39 | ( (~) @ V1B ) ) )
% 1.77/1.39 & ( ( (~)
% 1.77/1.39 @ ( V0A
% 1.77/1.39 | V1B ) )
% 1.77/1.39 <=> ( ( (~) @ V0A )
% 1.77/1.39 & ( (~) @ V1B ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Einteger_2Eint__sub,axiom,
% 1.77/1.39 ! [V0x: tyop_2Einteger_2Eint,V1y: tyop_2Einteger_2Eint] :
% 1.77/1.39 ( ( c_2Einteger_2Eint__sub @ V0x @ V1y )
% 1.77/1.39 = ( c_2Einteger_2Eint__add @ V0x @ ( c_2Einteger_2Eint__neg @ V1y ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
% 1.77/1.39 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint,V2r: tyop_2Einteger_2Eint] :
% 1.77/1.39 ( ( c_2Einteger_2Eint__divides @ V0p @ V1q )
% 1.77/1.39 => ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__add @ V2r @ V1q ) )
% 1.77/1.39 = ( c_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
% 1.77/1.39 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint] :
% 1.77/1.39 ( ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__neg @ V1q ) )
% 1.77/1.39 = ( c_2Einteger_2Eint__divides @ V0p @ V1q ) )
% 1.77/1.39 & ( ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ V0p ) @ V1q )
% 1.77/1.39 = ( c_2Einteger_2Eint__divides @ V0p @ V1q ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2ENOT__NOT,axiom,
% 1.77/1.39 ! [V0t: $o] :
% 1.77/1.39 ( ( (~) @ ( (~) @ V0t ) )
% 1.77/1.39 <=> V0t ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 1.77/1.39 ! [V0A: $o] :
% 1.77/1.39 ( V0A
% 1.77/1.39 => ( ( (~) @ V0A )
% 1.77/1.39 => c_2Ebool_2EF ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 1.77/1.39 ! [V0B: $o,V1A: $o] :
% 1.77/1.39 ( ( ( (~)
% 1.77/1.39 @ ( V1A
% 1.77/1.39 | V0B ) )
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 <=> ( ( V1A
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 => ( ( (~) @ V0B )
% 1.77/1.39 => c_2Ebool_2EF ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 1.77/1.39 ! [V0B: $o,V1A: $o] :
% 1.77/1.39 ( ( ( (~)
% 1.77/1.39 @ ( ( (~) @ V1A )
% 1.77/1.39 | V0B ) )
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 <=> ( V1A
% 1.77/1.39 => ( ( (~) @ V0B )
% 1.77/1.39 => c_2Ebool_2EF ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2EAND__INV2,axiom,
% 1.77/1.39 ! [V0A: $o] :
% 1.77/1.39 ( ( ( (~) @ V0A )
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 => ( ( V0A
% 1.77/1.39 => c_2Ebool_2EF )
% 1.77/1.39 => c_2Ebool_2EF ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2Edc__eq,axiom,
% 1.77/1.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 1.77/1.39 ( ( V2p
% 1.77/1.39 <=> ( V1q = V0r ) )
% 1.77/1.39 <=> ( ( V2p
% 1.77/1.39 | V1q
% 1.77/1.39 | V0r )
% 1.77/1.39 & ( V2p
% 1.77/1.39 | ( (~) @ V0r )
% 1.77/1.39 | ( (~) @ V1q ) )
% 1.77/1.39 & ( V1q
% 1.77/1.39 | ( (~) @ V0r )
% 1.77/1.39 | ( (~) @ V2p ) )
% 1.77/1.39 & ( V0r
% 1.77/1.39 | ( (~) @ V1q )
% 1.77/1.39 | ( (~) @ V2p ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2Edc__conj,axiom,
% 1.77/1.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 1.77/1.39 ( ( V2p
% 1.77/1.39 <=> ( V1q
% 1.77/1.39 & V0r ) )
% 1.77/1.39 <=> ( ( V2p
% 1.77/1.39 | ( (~) @ V1q )
% 1.77/1.39 | ( (~) @ V0r ) )
% 1.77/1.39 & ( V1q
% 1.77/1.39 | ( (~) @ V2p ) )
% 1.77/1.39 & ( V0r
% 1.77/1.39 | ( (~) @ V2p ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2Edc__disj,axiom,
% 1.77/1.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 1.77/1.39 ( ( V2p
% 1.77/1.39 <=> ( V1q
% 1.77/1.39 | V0r ) )
% 1.77/1.39 <=> ( ( V2p
% 1.77/1.39 | ( (~) @ V1q ) )
% 1.77/1.39 & ( V2p
% 1.77/1.39 | ( (~) @ V0r ) )
% 1.77/1.39 & ( V1q
% 1.77/1.39 | V0r
% 1.77/1.39 | ( (~) @ V2p ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2Edc__imp,axiom,
% 1.77/1.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 1.77/1.39 ( ( V2p
% 1.77/1.39 <=> ( V1q
% 1.77/1.39 => V0r ) )
% 1.77/1.39 <=> ( ( V2p
% 1.77/1.39 | V1q )
% 1.77/1.39 & ( V2p
% 1.77/1.39 | ( (~) @ V0r ) )
% 1.77/1.39 & ( ( (~) @ V1q )
% 1.77/1.39 | V0r
% 1.77/1.39 | ( (~) @ V2p ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Esat_2Edc__neg,axiom,
% 1.77/1.39 ! [V0q: $o,V1p: $o] :
% 1.77/1.39 ( ( V1p
% 1.77/1.39 <=> ( (~) @ V0q ) )
% 1.77/1.39 <=> ( ( V1p
% 1.77/1.39 | V0q )
% 1.77/1.39 & ( ( (~) @ V0q )
% 1.77/1.39 | ( (~) @ V1p ) ) ) ) ).
% 1.77/1.39
% 1.77/1.39 thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
% 1.77/1.39 ! [V0p: tyop_2Einteger_2Eint,V1q: tyop_2Einteger_2Eint,V2r: tyop_2Einteger_2Eint] :
% 1.77/1.39 ( ( c_2Einteger_2Eint__divides @ V0p @ V1q )
% 1.77/1.39 => ( ( c_2Einteger_2Eint__divides @ V0p @ ( c_2Einteger_2Eint__sub @ V2r @ V1q ) )
% 1.77/1.39 = ( c_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).
% 1.77/1.39 ------------------------
% 1.95/1.41 % (21862)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_21573 for (2999ds/2Mi)
% 1.95/1.41 % (21862)Instruction limit reached!
% 1.95/1.41 % (21862)------------------------------
% 1.95/1.41 % (21862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.41 % (21862)Termination reason: Unknown
% 1.95/1.41 % (21862)Termination phase: shuffling
% 1.95/1.41
% 1.95/1.41 % (21862)Memory used [KB]: 1023
% 1.95/1.41 % (21862)Time elapsed: 0.002 s
% 1.95/1.41 % (21862)Instructions burned: 2 (million)
% 1.95/1.41 % (21862)------------------------------
% 1.95/1.41 % (21862)------------------------------
% 1.95/1.41 % (21860)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_21573 for (2999ds/27Mi)
% 1.95/1.41 % (21864)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/18Mi)
% 1.95/1.41 % (21858)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/183Mi)
% 1.95/1.41 % (21859)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_21573 for (2999ds/4Mi)
% 1.95/1.41 % (21861)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/2Mi)
% 1.95/1.42 % (21863)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_21573 for (2999ds/275Mi)
% 1.95/1.42 % (21861)Instruction limit reached!
% 1.95/1.42 % (21861)------------------------------
% 1.95/1.42 % (21861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.42 % (21861)Termination reason: Unknown
% 1.95/1.42 % (21861)Termination phase: shuffling
% 1.95/1.42
% 1.95/1.42 % (21861)Memory used [KB]: 1023
% 1.95/1.42 % (21861)Time elapsed: 0.003 s
% 1.95/1.42 % (21861)Instructions burned: 2 (million)
% 1.95/1.42 % (21861)------------------------------
% 1.95/1.42 % (21861)------------------------------
% 1.95/1.42 % (21864)Instruction limit reached!
% 1.95/1.42 % (21864)------------------------------
% 1.95/1.42 % (21864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.42 % (21864)Termination reason: Unknown
% 1.95/1.42 % (21864)Termination phase: Saturation
% 1.95/1.42
% 1.95/1.42 % (21864)Memory used [KB]: 5756
% 1.95/1.42 % (21864)Time elapsed: 0.009 s
% 1.95/1.42 % (21864)Instructions burned: 20 (million)
% 1.95/1.42 % (21864)------------------------------
% 1.95/1.42 % (21864)------------------------------
% 1.95/1.42 % (21859)Instruction limit reached!
% 1.95/1.42 % (21859)------------------------------
% 1.95/1.42 % (21859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.42 % (21859)Termination reason: Unknown
% 1.95/1.42 % (21859)Termination phase: shuffling
% 1.95/1.42
% 1.95/1.42 % (21859)Memory used [KB]: 1023
% 1.95/1.42 % (21859)Time elapsed: 0.004 s
% 1.95/1.42 % (21859)Instructions burned: 4 (million)
% 1.95/1.42 % (21859)------------------------------
% 1.95/1.42 % (21859)------------------------------
% 1.95/1.42 % (21860)Instruction limit reached!
% 1.95/1.42 % (21860)------------------------------
% 1.95/1.42 % (21860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.42 % (21860)Termination reason: Unknown
% 1.95/1.42 % (21860)Termination phase: Saturation
% 1.95/1.42
% 1.95/1.42 % (21860)Memory used [KB]: 5756
% 1.95/1.42 % (21860)Time elapsed: 0.010 s
% 1.95/1.42 % (21860)Instructions burned: 27 (million)
% 1.95/1.42 % (21860)------------------------------
% 1.95/1.42 % (21860)------------------------------
% 1.95/1.42 % (21865)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/3Mi)
% 1.95/1.42 % (21865)Instruction limit reached!
% 1.95/1.42 % (21865)------------------------------
% 1.95/1.42 % (21865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.42 % (21865)Termination reason: Unknown
% 1.95/1.42 % (21865)Termination phase: Property scanning
% 1.95/1.42
% 1.95/1.42 % (21865)Memory used [KB]: 1023
% 1.95/1.42 % (21865)Time elapsed: 0.002 s
% 1.95/1.42 % (21865)Instructions burned: 3 (million)
% 1.95/1.42 % (21865)------------------------------
% 1.95/1.42 % (21865)------------------------------
% 1.95/1.43 % (21867)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_21573 for (2999ds/15Mi)
% 1.95/1.43 % (21869)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_21573 for (2999ds/1041Mi)
% 1.95/1.43 % (21870)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/7Mi)
% 1.95/1.43 % (21870)Instruction limit reached!
% 1.95/1.43 % (21870)------------------------------
% 1.95/1.43 % (21870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.43 % (21870)Termination reason: Unknown
% 1.95/1.43 % (21870)Termination phase: Property scanning
% 1.95/1.43
% 1.95/1.43 % (21870)Memory used [KB]: 1151
% 1.95/1.43 % (21870)Time elapsed: 0.003 s
% 1.95/1.43 % (21870)Instructions burned: 7 (million)
% 1.95/1.43 % (21870)------------------------------
% 1.95/1.43 % (21870)------------------------------
% 1.95/1.43 % (21867)Instruction limit reached!
% 1.95/1.43 % (21867)------------------------------
% 1.95/1.43 % (21867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.43 % (21867)Termination reason: Unknown
% 1.95/1.43 % (21867)Termination phase: Property scanning
% 1.95/1.43
% 1.95/1.43 % (21867)Memory used [KB]: 1279
% 1.95/1.43 % (21867)Time elapsed: 0.006 s
% 1.95/1.43 % (21867)Instructions burned: 16 (million)
% 1.95/1.43 % (21867)------------------------------
% 1.95/1.43 % (21867)------------------------------
% 1.95/1.43 % (21866)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_21573 for (2999ds/37Mi)
% 1.95/1.43 % (21868)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_21573 for (2999ds/3Mi)
% 1.95/1.44 % (21868)Instruction limit reached!
% 1.95/1.44 % (21868)------------------------------
% 1.95/1.44 % (21868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.44 % (21868)Termination reason: Unknown
% 1.95/1.44 % (21868)Termination phase: Naming
% 1.95/1.44
% 1.95/1.44 % (21868)Memory used [KB]: 1023
% 1.95/1.44 % (21868)Time elapsed: 0.004 s
% 1.95/1.44 % (21868)Instructions burned: 4 (million)
% 1.95/1.44 % (21868)------------------------------
% 1.95/1.44 % (21868)------------------------------
% 1.95/1.44 % (21871)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/16Mi)
% 1.95/1.44 % (21872)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_21573 for (2999ds/3Mi)
% 1.95/1.44 % (21872)Instruction limit reached!
% 1.95/1.44 % (21872)------------------------------
% 1.95/1.44 % (21872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.44 % (21872)Termination reason: Unknown
% 1.95/1.44 % (21872)Termination phase: Preprocessing 2
% 1.95/1.44
% 1.95/1.44 % (21872)Memory used [KB]: 1023
% 1.95/1.44 % (21872)Time elapsed: 0.003 s
% 1.95/1.44 % (21872)Instructions burned: 4 (million)
% 1.95/1.44 % (21872)------------------------------
% 1.95/1.44 % (21872)------------------------------
% 1.95/1.44 % (21871)Instruction limit reached!
% 1.95/1.44 % (21871)------------------------------
% 1.95/1.44 % (21871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.44 % (21871)Termination reason: Unknown
% 1.95/1.44 % (21871)Termination phase: Saturation
% 1.95/1.44
% 1.95/1.44 % (21871)Memory used [KB]: 5756
% 1.95/1.44 % (21871)Time elapsed: 0.006 s
% 1.95/1.44 % (21871)Instructions burned: 18 (million)
% 1.95/1.44 % (21871)------------------------------
% 1.95/1.44 % (21871)------------------------------
% 1.95/1.45 % (21874)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/7Mi)
% 1.95/1.45 % (21875)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/3Mi)
% 1.95/1.45 % (21873)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_21573 for (2999ds/3Mi)
% 1.95/1.45 % (21875)Instruction limit reached!
% 1.95/1.45 % (21875)------------------------------
% 1.95/1.45 % (21875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.45 % (21875)Termination reason: Unknown
% 1.95/1.45 % (21875)Termination phase: shuffling
% 1.95/1.45
% 1.95/1.45 % (21875)Memory used [KB]: 1023
% 1.95/1.45 % (21875)Time elapsed: 0.002 s
% 1.95/1.45 % (21875)Instructions burned: 3 (million)
% 1.95/1.45 % (21875)------------------------------
% 1.95/1.45 % (21875)------------------------------
% 1.95/1.45 % (21866)Instruction limit reached!
% 1.95/1.45 % (21866)------------------------------
% 1.95/1.45 % (21866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.45 % (21866)Termination reason: Unknown
% 1.95/1.45 % (21866)Termination phase: Saturation
% 1.95/1.45
% 1.95/1.45 % (21866)Memory used [KB]: 5756
% 1.95/1.45 % (21866)Time elapsed: 0.023 s
% 1.95/1.45 % (21866)Instructions burned: 38 (million)
% 1.95/1.45 % (21866)------------------------------
% 1.95/1.45 % (21866)------------------------------
% 1.95/1.45 % (21874)Instruction limit reached!
% 1.95/1.45 % (21874)------------------------------
% 1.95/1.45 % (21874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.45 % (21874)Termination reason: Unknown
% 1.95/1.45 % (21874)Termination phase: Property scanning
% 1.95/1.45
% 1.95/1.45 % (21874)Memory used [KB]: 1151
% 1.95/1.45 % (21874)Time elapsed: 0.004 s
% 1.95/1.45 % (21874)Instructions burned: 7 (million)
% 1.95/1.45 % (21874)------------------------------
% 1.95/1.45 % (21874)------------------------------
% 1.95/1.46 % (21873)Instruction limit reached!
% 1.95/1.46 % (21873)------------------------------
% 1.95/1.46 % (21873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.46 % (21873)Termination reason: Unknown
% 1.95/1.46 % (21873)Termination phase: Naming
% 1.95/1.46
% 1.95/1.46 % (21873)Memory used [KB]: 1023
% 1.95/1.46 % (21873)Time elapsed: 0.004 s
% 1.95/1.46 % (21873)Instructions burned: 4 (million)
% 1.95/1.46 % (21873)------------------------------
% 1.95/1.46 % (21873)------------------------------
% 1.95/1.46 % (21878)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/710Mi)
% 1.95/1.47 % (21877)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/18Mi)
% 1.95/1.47 % (21876)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/4Mi)
% 1.95/1.47 % (21879)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/6Mi)
% 1.95/1.47 % (21876)Instruction limit reached!
% 1.95/1.47 % (21876)------------------------------
% 1.95/1.47 % (21876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.47 % (21876)Termination reason: Unknown
% 1.95/1.47 % (21876)Termination phase: Naming
% 1.95/1.47
% 1.95/1.47 % (21876)Memory used [KB]: 1023
% 1.95/1.47 % (21876)Time elapsed: 0.004 s
% 1.95/1.47 % (21876)Instructions burned: 4 (million)
% 1.95/1.47 % (21876)------------------------------
% 1.95/1.47 % (21876)------------------------------
% 1.95/1.47 % (21877)Instruction limit reached!
% 1.95/1.47 % (21877)------------------------------
% 1.95/1.47 % (21877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.47 % (21877)Termination reason: Unknown
% 1.95/1.47 % (21877)Termination phase: Saturation
% 1.95/1.47
% 1.95/1.47 % (21877)Memory used [KB]: 5756
% 1.95/1.47 % (21877)Time elapsed: 0.008 s
% 1.95/1.47 % (21877)Instructions burned: 19 (million)
% 1.95/1.47 % (21877)------------------------------
% 1.95/1.47 % (21877)------------------------------
% 1.95/1.48 % (21879)Instruction limit reached!
% 1.95/1.48 % (21879)------------------------------
% 1.95/1.48 % (21879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.48 % (21879)Termination reason: Unknown
% 1.95/1.48 % (21879)Termination phase: Preprocessing 3
% 1.95/1.48
% 1.95/1.48 % (21879)Memory used [KB]: 1151
% 1.95/1.48 % (21879)Time elapsed: 0.005 s
% 1.95/1.48 % (21879)Instructions burned: 6 (million)
% 1.95/1.48 % (21879)------------------------------
% 1.95/1.48 % (21879)------------------------------
% 1.95/1.48 % (21880)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_21573 for (2999ds/902Mi)
% 1.95/1.48 % (21881)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_21573 for (2999ds/21Mi)
% 1.95/1.49 % (21881)Instruction limit reached!
% 1.95/1.49 % (21881)------------------------------
% 1.95/1.49 % (21881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.49 % (21881)Termination reason: Unknown
% 1.95/1.49 % (21881)Termination phase: Property scanning
% 1.95/1.49
% 1.95/1.49 % (21881)Memory used [KB]: 1535
% 1.95/1.49 % (21881)Time elapsed: 0.008 s
% 1.95/1.49 % (21881)Instructions burned: 21 (million)
% 1.95/1.49 % (21881)------------------------------
% 1.95/1.49 % (21881)------------------------------
% 1.95/1.49 % (21882)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/5Mi)
% 1.95/1.50 % (21882)Instruction limit reached!
% 1.95/1.50 % (21882)------------------------------
% 1.95/1.50 % (21882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.50 % (21882)Termination reason: Unknown
% 1.95/1.50 % (21882)Termination phase: shuffling
% 1.95/1.50
% 1.95/1.50 % (21882)Memory used [KB]: 1023
% 1.95/1.50 % (21882)Time elapsed: 0.004 s
% 1.95/1.50 % (21882)Instructions burned: 5 (million)
% 1.95/1.50 % (21882)------------------------------
% 1.95/1.50 % (21882)------------------------------
% 1.95/1.50 % (21883)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_21573 for (2999ds/6Mi)
% 1.95/1.50 % (21883)Instruction limit reached!
% 1.95/1.50 % (21883)------------------------------
% 1.95/1.50 % (21883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.50 % (21883)Termination reason: Unknown
% 1.95/1.50 % (21883)Termination phase: SInE selection
% 1.95/1.50
% 1.95/1.50 % (21883)Memory used [KB]: 1023
% 1.95/1.50 % (21883)Time elapsed: 0.004 s
% 1.95/1.50 % (21883)Instructions burned: 8 (million)
% 1.95/1.50 % (21883)------------------------------
% 1.95/1.50 % (21883)------------------------------
% 1.95/1.51 % (21885)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_21573 for (2999ds/779Mi)
% 1.95/1.51 % (21884)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_21573 for (2999ds/377Mi)
% 1.95/1.52 % (21858)Instruction limit reached!
% 1.95/1.52 % (21858)------------------------------
% 1.95/1.52 % (21858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.52 % (21858)Termination reason: Unknown
% 1.95/1.52 % (21858)Termination phase: Saturation
% 1.95/1.52
% 1.95/1.52 % (21858)Memory used [KB]: 6908
% 1.95/1.52 % (21858)Time elapsed: 0.106 s
% 1.95/1.52 % (21858)Instructions burned: 184 (million)
% 1.95/1.52 % (21858)------------------------------
% 1.95/1.52 % (21858)------------------------------
% 1.95/1.53 % (21886)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_21573 for (2998ds/19Mi)
% 1.95/1.54 % (21886)Instruction limit reached!
% 1.95/1.54 % (21886)------------------------------
% 1.95/1.54 % (21886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.54 % (21886)Termination reason: Unknown
% 1.95/1.54 % (21886)Termination phase: Saturation
% 1.95/1.54
% 1.95/1.54 % (21886)Memory used [KB]: 5756
% 1.95/1.54 % (21886)Time elapsed: 0.007 s
% 1.95/1.54 % (21886)Instructions burned: 19 (million)
% 1.95/1.54 % (21886)------------------------------
% 1.95/1.54 % (21886)------------------------------
% 1.95/1.54 % (21863)Instruction limit reached!
% 1.95/1.54 % (21863)------------------------------
% 1.95/1.54 % (21863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.54 % (21863)Termination reason: Unknown
% 1.95/1.54 % (21863)Termination phase: Saturation
% 1.95/1.54
% 1.95/1.54 % (21863)Memory used [KB]: 6396
% 1.95/1.54 % (21863)Time elapsed: 0.124 s
% 1.95/1.54 % (21863)Instructions burned: 276 (million)
% 1.95/1.54 % (21863)------------------------------
% 1.95/1.54 % (21863)------------------------------
% 1.95/1.55 % (21887)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_21573 for (2998ds/879Mi)
% 1.95/1.55 % (21888)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_21573 for (2998ds/17Mi)
% 1.95/1.55 % (21888)Instruction limit reached!
% 1.95/1.55 % (21888)------------------------------
% 1.95/1.55 % (21888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.55 % (21888)Termination reason: Unknown
% 1.95/1.55 % (21888)Termination phase: Saturation
% 1.95/1.55
% 1.95/1.55 % (21888)Memory used [KB]: 5756
% 1.95/1.55 % (21888)Time elapsed: 0.007 s
% 1.95/1.55 % (21888)Instructions burned: 17 (million)
% 1.95/1.55 % (21888)------------------------------
% 1.95/1.55 % (21888)------------------------------
% 1.95/1.56 % (21889)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_21573 for (2998ds/3Mi)
% 1.95/1.56 % (21889)Instruction limit reached!
% 1.95/1.56 % (21889)------------------------------
% 1.95/1.56 % (21889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.56 % (21889)Termination reason: Unknown
% 1.95/1.56 % (21889)Termination phase: Naming
% 1.95/1.56
% 1.95/1.56 % (21889)Memory used [KB]: 1023
% 1.95/1.56 % (21889)Time elapsed: 0.003 s
% 1.95/1.56 % (21889)Instructions burned: 4 (million)
% 1.95/1.56 % (21889)------------------------------
% 1.95/1.56 % (21889)------------------------------
% 1.95/1.57 % (21890)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_21573 for (2998ds/30Mi)
% 1.95/1.58 % (21890)Instruction limit reached!
% 1.95/1.58 % (21890)------------------------------
% 1.95/1.58 % (21890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.58 % (21890)Termination reason: Unknown
% 1.95/1.58 % (21890)Termination phase: Saturation
% 1.95/1.58
% 1.95/1.58 % (21890)Memory used [KB]: 5756
% 1.95/1.58 % (21890)Time elapsed: 0.012 s
% 1.95/1.58 % (21890)Instructions burned: 31 (million)
% 1.95/1.58 % (21890)------------------------------
% 1.95/1.58 % (21890)------------------------------
% 1.95/1.59 % (21892)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_21573 for (2998ds/127Mi)
% 1.95/1.64 % (21892)Instruction limit reached!
% 1.95/1.64 % (21892)------------------------------
% 1.95/1.64 % (21892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.64 % (21892)Termination reason: Unknown
% 1.95/1.64 % (21892)Termination phase: Saturation
% 1.95/1.64
% 1.95/1.64 % (21892)Memory used [KB]: 6396
% 1.95/1.64 % (21892)Time elapsed: 0.067 s
% 1.95/1.64 % (21892)Instructions burned: 128 (million)
% 1.95/1.64 % (21892)------------------------------
% 1.95/1.64 % (21892)------------------------------
% 1.95/1.65 % (21884)Instruction limit reached!
% 1.95/1.65 % (21884)------------------------------
% 1.95/1.65 % (21884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.65 % (21884)Termination reason: Unknown
% 1.95/1.65 % (21884)Termination phase: Saturation
% 1.95/1.65
% 1.95/1.65 % (21884)Memory used [KB]: 6652
% 1.95/1.65 % (21884)Time elapsed: 0.135 s
% 1.95/1.65 % (21884)Instructions burned: 377 (million)
% 1.95/1.65 % (21884)------------------------------
% 1.95/1.65 % (21884)------------------------------
% 1.95/1.65 % (21893)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_21573 for (2997ds/100Mi)
% 1.95/1.66 % (21894)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_21573 for (2997ds/3Mi)
% 1.95/1.66 % (21894)Instruction limit reached!
% 1.95/1.66 % (21894)------------------------------
% 1.95/1.66 % (21894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.66 % (21894)Termination reason: Unknown
% 1.95/1.66 % (21894)Termination phase: shuffling
% 1.95/1.66
% 1.95/1.66 % (21894)Memory used [KB]: 1023
% 1.95/1.66 % (21894)Time elapsed: 0.003 s
% 1.95/1.66 % (21894)Instructions burned: 5 (million)
% 1.95/1.66 % (21894)------------------------------
% 1.95/1.66 % (21894)------------------------------
% 1.95/1.67 % (21895)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_21573 for (2997ds/20Mi)
% 1.95/1.68 % (21895)Instruction limit reached!
% 1.95/1.68 % (21895)------------------------------
% 1.95/1.68 % (21895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.68 % (21895)Termination reason: Unknown
% 1.95/1.68 % (21895)Termination phase: Saturation
% 1.95/1.68
% 1.95/1.68 % (21895)Memory used [KB]: 5756
% 1.95/1.68 % (21895)Time elapsed: 0.031 s
% 1.95/1.68 % (21895)Instructions burned: 22 (million)
% 1.95/1.68 % (21895)------------------------------
% 1.95/1.68 % (21895)------------------------------
% 1.95/1.68 % (21893)Instruction limit reached!
% 1.95/1.68 % (21893)------------------------------
% 1.95/1.68 % (21893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.68 % (21893)Termination reason: Unknown
% 1.95/1.68 % (21893)Termination phase: Saturation
% 1.95/1.68
% 1.95/1.68 % (21893)Memory used [KB]: 5884
% 1.95/1.68 % (21893)Time elapsed: 0.034 s
% 1.95/1.68 % (21893)Instructions burned: 100 (million)
% 1.95/1.68 % (21893)------------------------------
% 1.95/1.68 % (21893)------------------------------
% 1.95/1.69 % (21896)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_21573 for (2997ds/86Mi)
% 1.95/1.69 % (21897)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_21573 for (2997ds/107Mi)
% 1.95/1.70 % (21878)Instruction limit reached!
% 1.95/1.70 % (21878)------------------------------
% 1.95/1.70 % (21878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.70 % (21878)Termination reason: Unknown
% 1.95/1.70 % (21878)Termination phase: Saturation
% 1.95/1.70
% 1.95/1.70 % (21878)Memory used [KB]: 7547
% 1.95/1.70 % (21878)Time elapsed: 0.240 s
% 1.95/1.70 % (21878)Instructions burned: 711 (million)
% 1.95/1.70 % (21878)------------------------------
% 1.95/1.70 % (21878)------------------------------
% 1.95/1.71 % (21898)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_21573 for (2996ds/39Mi)
% 1.95/1.72 % (21896)Instruction limit reached!
% 1.95/1.72 % (21896)------------------------------
% 1.95/1.72 % (21896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.72 % (21896)Termination reason: Unknown
% 1.95/1.72 % (21896)Termination phase: Saturation
% 1.95/1.72
% 1.95/1.72 % (21896)Memory used [KB]: 6268
% 1.95/1.72 % (21896)Time elapsed: 0.055 s
% 1.95/1.72 % (21896)Instructions burned: 86 (million)
% 1.95/1.72 % (21896)------------------------------
% 1.95/1.72 % (21896)------------------------------
% 1.95/1.73 % (21899)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_21573 for (2996ds/448Mi)
% 1.95/1.73 % (21898)Instruction limit reached!
% 1.95/1.73 % (21898)------------------------------
% 1.95/1.73 % (21898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.73 % (21898)Termination reason: Unknown
% 1.95/1.73 % (21898)Termination phase: Saturation
% 1.95/1.73
% 1.95/1.73 % (21898)Memory used [KB]: 5756
% 1.95/1.73 % (21898)Time elapsed: 0.015 s
% 1.95/1.73 % (21898)Instructions burned: 40 (million)
% 1.95/1.73 % (21898)------------------------------
% 1.95/1.73 % (21898)------------------------------
% 1.95/1.73 % (21897)Instruction limit reached!
% 1.95/1.73 % (21897)------------------------------
% 1.95/1.73 % (21897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.73 % (21897)Termination reason: Unknown
% 1.95/1.73 % (21897)Termination phase: Saturation
% 1.95/1.73
% 1.95/1.73 % (21897)Memory used [KB]: 6140
% 1.95/1.73 % (21897)Time elapsed: 0.038 s
% 1.95/1.73 % (21897)Instructions burned: 108 (million)
% 1.95/1.73 % (21897)------------------------------
% 1.95/1.73 % (21897)------------------------------
% 1.95/1.74 % (21900)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_21573 for (2996ds/46Mi)
% 1.95/1.74 % (21901)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_21573 for (2996ds/98Mi)
% 1.95/1.75 % (21900)Instruction limit reached!
% 1.95/1.75 % (21900)------------------------------
% 1.95/1.75 % (21900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.75 % (21900)Termination reason: Unknown
% 1.95/1.75 % (21900)Termination phase: Saturation
% 1.95/1.75
% 1.95/1.75 % (21900)Memory used [KB]: 5884
% 1.95/1.75 % (21900)Time elapsed: 0.017 s
% 1.95/1.75 % (21900)Instructions burned: 46 (million)
% 1.95/1.75 % (21900)------------------------------
% 1.95/1.75 % (21900)------------------------------
% 1.95/1.76 % (21885)Instruction limit reached!
% 1.95/1.76 % (21885)------------------------------
% 1.95/1.76 % (21885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.76 % (21885)Termination reason: Unknown
% 1.95/1.76 % (21885)Termination phase: Saturation
% 1.95/1.76
% 1.95/1.76 % (21885)Memory used [KB]: 6652
% 1.95/1.76 % (21885)Time elapsed: 0.245 s
% 1.95/1.76 % (21885)Instructions burned: 780 (million)
% 1.95/1.76 % (21885)------------------------------
% 1.95/1.76 % (21885)------------------------------
% 1.95/1.76 % (21902)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_21573 for (2996ds/507Mi)
% 1.95/1.76 % (21880)Instruction limit reached!
% 1.95/1.76 % (21880)------------------------------
% 1.95/1.76 % (21880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.76 % (21880)Termination reason: Unknown
% 1.95/1.76 % (21880)Termination phase: Saturation
% 1.95/1.76
% 1.95/1.76 % (21880)Memory used [KB]: 11513
% 1.95/1.76 % (21880)Time elapsed: 0.282 s
% 1.95/1.76 % (21880)Instructions burned: 904 (million)
% 1.95/1.76 % (21880)------------------------------
% 1.95/1.76 % (21880)------------------------------
% 1.95/1.76 % (21869)Instruction limit reached!
% 1.95/1.76 % (21869)------------------------------
% 1.95/1.76 % (21869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.76 % (21869)Termination reason: Unknown
% 1.95/1.76 % (21869)Termination phase: Saturation
% 1.95/1.76
% 1.95/1.76 % (21869)Memory used [KB]: 7931
% 1.95/1.76 % (21869)Time elapsed: 0.340 s
% 1.95/1.76 % (21869)Instructions burned: 1041 (million)
% 1.95/1.76 % (21869)------------------------------
% 1.95/1.76 % (21869)------------------------------
% 1.95/1.77 % (21903)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_21573 for (2996ds/149Mi)
% 1.95/1.77 % (21901)Instruction limit reached!
% 1.95/1.77 % (21901)------------------------------
% 1.95/1.77 % (21901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.77 % (21901)Termination reason: Unknown
% 1.95/1.77 % (21901)Termination phase: Saturation
% 1.95/1.77
% 1.95/1.77 % (21901)Memory used [KB]: 1535
% 1.95/1.77 % (21901)Time elapsed: 0.034 s
% 1.95/1.77 % (21901)Instructions burned: 98 (million)
% 1.95/1.77 % (21901)------------------------------
% 1.95/1.77 % (21901)------------------------------
% 1.95/1.77 % (21904)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_21573 for (2996ds/39Mi)
% 1.95/1.77 % (21905)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_21573 for (2996ds/6Mi)
% 1.95/1.78 % (21905)Instruction limit reached!
% 1.95/1.78 % (21905)------------------------------
% 1.95/1.78 % (21905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.78 % (21905)Termination reason: Unknown
% 1.95/1.78 % (21905)Termination phase: Unused predicate definition removal
% 1.95/1.78
% 1.95/1.78 % (21905)Memory used [KB]: 1023
% 1.95/1.78 % (21905)Time elapsed: 0.003 s
% 1.95/1.78 % (21905)Instructions burned: 8 (million)
% 1.95/1.78 % (21905)------------------------------
% 1.95/1.78 % (21905)------------------------------
% 1.95/1.78 % (21906)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_21573 for (2996ds/1087Mi)
% 1.95/1.79 % (21904)Instruction limit reached!
% 1.95/1.79 % (21904)------------------------------
% 1.95/1.79 % (21904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.79 % (21904)Termination reason: Unknown
% 1.95/1.79 % (21904)Termination phase: Saturation
% 1.95/1.79
% 1.95/1.79 % (21904)Memory used [KB]: 5884
% 1.95/1.79 % (21904)Time elapsed: 0.013 s
% 1.95/1.79 % (21904)Instructions burned: 39 (million)
% 1.95/1.79 % (21904)------------------------------
% 1.95/1.79 % (21904)------------------------------
% 1.95/1.79 % (21907)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_21573 for (2996ds/47Mi)
% 1.95/1.79 % (21908)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_21573 for (2996ds/44Mi)
% 1.95/1.80 % (21907)Instruction limit reached!
% 1.95/1.80 % (21907)------------------------------
% 1.95/1.80 % (21907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.80 % (21907)Termination reason: Unknown
% 1.95/1.80 % (21907)Termination phase: Saturation
% 1.95/1.80
% 1.95/1.80 % (21907)Memory used [KB]: 6012
% 1.95/1.80 % (21907)Time elapsed: 0.016 s
% 1.95/1.80 % (21907)Instructions burned: 47 (million)
% 1.95/1.80 % (21907)------------------------------
% 1.95/1.80 % (21907)------------------------------
% 1.95/1.81 % (21908)Instruction limit reached!
% 1.95/1.81 % (21908)------------------------------
% 1.95/1.81 % (21908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.81 % (21908)Termination reason: Unknown
% 1.95/1.81 % (21908)Termination phase: Saturation
% 1.95/1.81
% 1.95/1.81 % (21908)Memory used [KB]: 1279
% 1.95/1.81 % (21908)Time elapsed: 0.014 s
% 1.95/1.81 % (21908)Instructions burned: 44 (million)
% 1.95/1.81 % (21908)------------------------------
% 1.95/1.81 % (21908)------------------------------
% 1.95/1.81 % (21909)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_21573 for (2995ds/432Mi)
% 1.95/1.82 % (21903)Instruction limit reached!
% 1.95/1.82 % (21903)------------------------------
% 1.95/1.82 % (21903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.82 % (21903)Termination reason: Unknown
% 1.95/1.82 % (21903)Termination phase: Saturation
% 1.95/1.82
% 1.95/1.82 % (21903)Memory used [KB]: 6396
% 1.95/1.82 % (21903)Time elapsed: 0.052 s
% 1.95/1.82 % (21903)Instructions burned: 152 (million)
% 1.95/1.82 % (21903)------------------------------
% 1.95/1.82 % (21903)------------------------------
% 1.95/1.82 % (21910)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/62Mi)
% 1.95/1.83 % (21911)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_21573 for (2995ds/31Mi)
% 1.95/1.84 % (21911)Instruction limit reached!
% 1.95/1.84 % (21911)------------------------------
% 1.95/1.84 % (21911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.84 % (21911)Termination reason: Unknown
% 1.95/1.84 % (21911)Termination phase: Saturation
% 1.95/1.84
% 1.95/1.84 % (21911)Memory used [KB]: 5884
% 1.95/1.84 % (21911)Time elapsed: 0.011 s
% 1.95/1.84 % (21911)Instructions burned: 33 (million)
% 1.95/1.84 % (21911)------------------------------
% 1.95/1.84 % (21911)------------------------------
% 1.95/1.84 % (21910)Instruction limit reached!
% 1.95/1.84 % (21910)------------------------------
% 1.95/1.84 % (21910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.84 % (21910)Termination reason: Unknown
% 1.95/1.84 % (21910)Termination phase: Saturation
% 1.95/1.84
% 1.95/1.84 % (21910)Memory used [KB]: 5884
% 1.95/1.84 % (21910)Time elapsed: 0.021 s
% 1.95/1.84 % (21910)Instructions burned: 64 (million)
% 1.95/1.84 % (21910)------------------------------
% 1.95/1.84 % (21910)------------------------------
% 1.95/1.84 % (21887)Instruction limit reached!
% 1.95/1.84 % (21887)------------------------------
% 1.95/1.84 % (21887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.84 % (21887)Termination reason: Unknown
% 1.95/1.84 % (21887)Termination phase: Saturation
% 1.95/1.84
% 1.95/1.84 % (21887)Memory used [KB]: 7547
% 1.95/1.84 % (21887)Time elapsed: 0.298 s
% 1.95/1.84 % (21887)Instructions burned: 880 (million)
% 1.95/1.84 % (21887)------------------------------
% 1.95/1.84 % (21887)------------------------------
% 1.95/1.84 % (21912)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/96Mi)
% 1.95/1.85 % (21913)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_21573 for (2995ds/453Mi)
% 1.95/1.85 % (21914)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_21573 for (2995ds/71Mi)
% 1.95/1.86 % (21899)Instruction limit reached!
% 1.95/1.86 % (21899)------------------------------
% 1.95/1.86 % (21899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.86 % (21899)Termination reason: Unknown
% 1.95/1.86 % (21899)Termination phase: Saturation
% 1.95/1.86
% 1.95/1.86 % (21899)Memory used [KB]: 6908
% 1.95/1.86 % (21899)Time elapsed: 0.140 s
% 1.95/1.86 % (21899)Instructions burned: 449 (million)
% 1.95/1.86 % (21899)------------------------------
% 1.95/1.86 % (21899)------------------------------
% 1.95/1.87 % (21915)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/83Mi)
% 1.95/1.88 % (21912)Instruction limit reached!
% 1.95/1.88 % (21912)------------------------------
% 1.95/1.88 % (21912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.88 % (21912)Termination reason: Unknown
% 1.95/1.88 % (21912)Termination phase: Saturation
% 1.95/1.88
% 1.95/1.88 % (21912)Memory used [KB]: 6140
% 1.95/1.88 % (21912)Time elapsed: 0.033 s
% 1.95/1.88 % (21912)Instructions burned: 98 (million)
% 1.95/1.88 % (21912)------------------------------
% 1.95/1.88 % (21912)------------------------------
% 1.95/1.88 % (21914)Instruction limit reached!
% 1.95/1.88 % (21914)------------------------------
% 1.95/1.88 % (21914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.88 % (21914)Termination reason: Unknown
% 1.95/1.88 % (21914)Termination phase: Saturation
% 1.95/1.88
% 1.95/1.88 % (21914)Memory used [KB]: 6012
% 1.95/1.88 % (21914)Time elapsed: 0.027 s
% 1.95/1.88 % (21914)Instructions burned: 72 (million)
% 1.95/1.88 % (21914)------------------------------
% 1.95/1.88 % (21914)------------------------------
% 1.95/1.89 % (21916)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/11Mi)
% 1.95/1.89 % (21917)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_21573 for (2995ds/41Mi)
% 1.95/1.89 % (21916)Instruction limit reached!
% 1.95/1.89 % (21916)------------------------------
% 1.95/1.89 % (21916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.89 % (21916)Termination reason: Unknown
% 1.95/1.89 % (21916)Termination phase: Property scanning
% 1.95/1.89
% 1.95/1.89 % (21916)Memory used [KB]: 1151
% 1.95/1.89 % (21916)Time elapsed: 0.004 s
% 1.95/1.89 % (21916)Instructions burned: 12 (million)
% 1.95/1.89 % (21916)------------------------------
% 1.95/1.89 % (21916)------------------------------
% 1.95/1.90 % (21918)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/6Mi)
% 1.95/1.90 % (21917)Instruction limit reached!
% 1.95/1.90 % (21917)------------------------------
% 1.95/1.90 % (21917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.90 % (21917)Termination reason: Unknown
% 1.95/1.90 % (21917)Termination phase: Saturation
% 1.95/1.90
% 1.95/1.90 % (21917)Memory used [KB]: 5756
% 1.95/1.90 % (21917)Time elapsed: 0.014 s
% 1.95/1.90 % (21917)Instructions burned: 44 (million)
% 1.95/1.90 % (21917)------------------------------
% 1.95/1.90 % (21917)------------------------------
% 1.95/1.90 % (21918)Instruction limit reached!
% 1.95/1.90 % (21918)------------------------------
% 1.95/1.90 % (21918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.90 % (21918)Termination reason: Unknown
% 1.95/1.90 % (21918)Termination phase: Property scanning
% 1.95/1.90
% 1.95/1.90 % (21918)Memory used [KB]: 1151
% 1.95/1.90 % (21918)Time elapsed: 0.003 s
% 1.95/1.90 % (21918)Instructions burned: 7 (million)
% 1.95/1.90 % (21918)------------------------------
% 1.95/1.90 % (21918)------------------------------
% 1.95/1.90 % (21915)Instruction limit reached!
% 1.95/1.90 % (21915)------------------------------
% 1.95/1.90 % (21915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.90 % (21915)Termination reason: Unknown
% 1.95/1.90 % (21915)Termination phase: Saturation
% 1.95/1.90
% 1.95/1.90 % (21915)Memory used [KB]: 6012
% 1.95/1.90 % (21915)Time elapsed: 0.029 s
% 1.95/1.90 % (21915)Instructions burned: 84 (million)
% 1.95/1.90 % (21915)------------------------------
% 1.95/1.90 % (21915)------------------------------
% 1.95/1.91 % (21919)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/150Mi)
% 1.95/1.91 % (21920)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_21573 for (2995ds/343Mi)
% 1.95/1.91 % (21921)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_21573 for (2995ds/109Mi)
% 1.95/1.92 % (21902)Instruction limit reached!
% 1.95/1.92 % (21902)------------------------------
% 1.95/1.92 % (21902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.92 % (21902)Termination reason: Unknown
% 1.95/1.92 % (21902)Termination phase: Saturation
% 1.95/1.92
% 1.95/1.92 % (21902)Memory used [KB]: 6652
% 1.95/1.92 % (21902)Time elapsed: 0.164 s
% 1.95/1.92 % (21902)Instructions burned: 509 (million)
% 1.95/1.92 % (21902)------------------------------
% 1.95/1.92 % (21902)------------------------------
% 1.95/1.93 % (21922)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_21573 for (2994ds/253Mi)
% 1.95/1.94 % (21909)Instruction limit reached!
% 1.95/1.94 % (21909)------------------------------
% 1.95/1.94 % (21909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.94 % (21909)Termination reason: Unknown
% 1.95/1.94 % (21909)Termination phase: Saturation
% 1.95/1.94
% 1.95/1.94 % (21909)Memory used [KB]: 2686
% 1.95/1.94 % (21909)Time elapsed: 0.135 s
% 1.95/1.94 % (21909)Instructions burned: 434 (million)
% 1.95/1.94 % (21909)------------------------------
% 1.95/1.94 % (21909)------------------------------
% 1.95/1.95 % (21921)Instruction limit reached!
% 1.95/1.95 % (21921)------------------------------
% 1.95/1.95 % (21921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.95 % (21921)Termination reason: Unknown
% 1.95/1.95 % (21921)Termination phase: Saturation
% 1.95/1.95
% 1.95/1.95 % (21921)Memory used [KB]: 6012
% 1.95/1.95 % (21921)Time elapsed: 0.037 s
% 1.95/1.95 % (21921)Instructions burned: 110 (million)
% 1.95/1.95 % (21921)------------------------------
% 1.95/1.95 % (21921)------------------------------
% 1.95/1.95 % (21923)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_21573 for (2994ds/140Mi)
% 1.95/1.96 % (21924)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_21573 for (2994ds/614Mi)
% 1.95/1.96 % (21919)Instruction limit reached!
% 1.95/1.96 % (21919)------------------------------
% 1.95/1.96 % (21919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.96 % (21919)Termination reason: Unknown
% 1.95/1.96 % (21919)Termination phase: Saturation
% 1.95/1.96
% 1.95/1.96 % (21919)Memory used [KB]: 6140
% 1.95/1.96 % (21919)Time elapsed: 0.050 s
% 1.95/1.96 % (21919)Instructions burned: 152 (million)
% 1.95/1.96 % (21919)------------------------------
% 1.95/1.96 % (21919)------------------------------
% 1.95/1.97 % (21925)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_21573 for (2994ds/202Mi)
% 1.95/1.99 % (21913)Instruction limit reached!
% 1.95/1.99 % (21913)------------------------------
% 1.95/1.99 % (21913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.99 % (21913)Termination reason: Unknown
% 1.95/1.99 % (21913)Termination phase: Saturation
% 1.95/1.99
% 1.95/1.99 % (21913)Memory used [KB]: 6268
% 1.95/1.99 % (21913)Time elapsed: 0.141 s
% 1.95/1.99 % (21913)Instructions burned: 455 (million)
% 1.95/1.99 % (21913)------------------------------
% 1.95/1.99 % (21913)------------------------------
% 1.95/2.00 % (21926)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_21573 for (2994ds/339Mi)
% 1.95/2.00 % (21923)Instruction limit reached!
% 1.95/2.00 % (21923)------------------------------
% 1.95/2.00 % (21923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/2.00 % (21923)Termination reason: Unknown
% 1.95/2.00 % (21923)Termination phase: Saturation
% 1.95/2.00
% 1.95/2.00 % (21923)Memory used [KB]: 5884
% 1.95/2.00 % (21923)Time elapsed: 0.047 s
% 1.95/2.00 % (21923)Instructions burned: 143 (million)
% 1.95/2.00 % (21923)------------------------------
% 1.95/2.00 % (21923)------------------------------
% 1.95/2.01 % (21927)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_21573 for (2993ds/283Mi)
% 6.18/2.02 % (21922)Instruction limit reached!
% 6.18/2.02 % (21922)------------------------------
% 6.18/2.02 % (21922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.02 % (21922)Termination reason: Unknown
% 6.18/2.02 % (21922)Termination phase: Saturation
% 6.18/2.02
% 6.18/2.02 % (21922)Memory used [KB]: 6524
% 6.18/2.02 % (21922)Time elapsed: 0.085 s
% 6.18/2.02 % (21922)Instructions burned: 254 (million)
% 6.18/2.02 % (21922)------------------------------
% 6.18/2.02 % (21922)------------------------------
% 6.18/2.02 % (21920)Instruction limit reached!
% 6.18/2.02 % (21920)------------------------------
% 6.18/2.02 % (21920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.02 % (21920)Termination reason: Unknown
% 6.18/2.02 % (21920)Termination phase: Saturation
% 6.18/2.02
% 6.18/2.02 % (21920)Memory used [KB]: 6524
% 6.18/2.02 % (21920)Time elapsed: 0.114 s
% 6.18/2.02 % (21920)Instructions burned: 343 (million)
% 6.18/2.02 % (21920)------------------------------
% 6.18/2.02 % (21920)------------------------------
% 6.18/2.03 % (21928)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_21573 for (2993ds/134Mi)
% 6.18/2.03 % (21925)Instruction limit reached!
% 6.18/2.03 % (21925)------------------------------
% 6.18/2.03 % (21925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.03 % (21925)Termination reason: Unknown
% 6.18/2.03 % (21925)Termination phase: Saturation
% 6.18/2.03
% 6.18/2.03 % (21925)Memory used [KB]: 6396
% 6.18/2.03 % (21925)Time elapsed: 0.066 s
% 6.18/2.03 % (21925)Instructions burned: 203 (million)
% 6.18/2.03 % (21925)------------------------------
% 6.18/2.03 % (21925)------------------------------
% 6.18/2.03 % (21929)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_21573 for (2993ds/298Mi)
% 6.18/2.04 % (21930)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_21573 for (2993ds/192Mi)
% 6.18/2.07 % (21928)Instruction limit reached!
% 6.18/2.07 % (21928)------------------------------
% 6.18/2.07 % (21928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.07 % (21928)Termination reason: Unknown
% 6.18/2.07 % (21928)Termination phase: Saturation
% 6.18/2.07
% 6.18/2.07 % (21928)Memory used [KB]: 6268
% 6.18/2.07 % (21928)Time elapsed: 0.044 s
% 6.18/2.07 % (21928)Instructions burned: 136 (million)
% 6.18/2.07 % (21928)------------------------------
% 6.18/2.07 % (21928)------------------------------
% 6.18/2.08 % (21931)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_21573 for (2993ds/258Mi)
% 6.18/2.10 % (21927)Instruction limit reached!
% 6.18/2.10 % (21927)------------------------------
% 6.18/2.10 % (21927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.10 % (21927)Termination reason: Unknown
% 6.18/2.10 % (21927)Termination phase: Saturation
% 6.18/2.10
% 6.18/2.10 % (21927)Memory used [KB]: 6908
% 6.18/2.10 % (21927)Time elapsed: 0.088 s
% 6.18/2.10 % (21927)Instructions burned: 283 (million)
% 6.18/2.10 % (21927)------------------------------
% 6.18/2.10 % (21927)------------------------------
% 6.18/2.10 % (21930)Instruction limit reached!
% 6.18/2.10 % (21930)------------------------------
% 6.18/2.10 % (21930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.10 % (21930)Termination reason: Unknown
% 6.18/2.10 % (21930)Termination phase: Saturation
% 6.18/2.10
% 6.18/2.10 % (21930)Memory used [KB]: 6268
% 6.18/2.10 % (21930)Time elapsed: 0.061 s
% 6.18/2.10 % (21930)Instructions burned: 194 (million)
% 6.18/2.10 % (21930)------------------------------
% 6.18/2.10 % (21930)------------------------------
% 6.18/2.11 % (21932)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_21573 for (2992ds/90Mi)
% 6.18/2.11 % (21926)Instruction limit reached!
% 6.18/2.11 % (21926)------------------------------
% 6.18/2.11 % (21926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.18/2.11 % (21926)Termination reason: Unknown
% 6.18/2.11 % (21926)Termination phase: Saturation
% 6.18/2.11
% 6.18/2.11 % (21926)Memory used [KB]: 6908
% 6.18/2.11 % (21926)Time elapsed: 0.111 s
% 6.18/2.11 % (21926)Instructions burned: 342 (million)
% 6.18/2.11 % (21926)------------------------------
% 6.18/2.11 % (21926)------------------------------
% 6.18/2.11 % (21933)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_21573 for (2992ds/231Mi)
% 6.75/2.12 % (21934)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_21573 for (2992ds/458Mi)
% 6.75/2.12 % (21929)Instruction limit reached!
% 6.75/2.12 % (21929)------------------------------
% 6.75/2.12 % (21929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.12 % (21929)Termination reason: Unknown
% 6.75/2.12 % (21929)Termination phase: Saturation
% 6.75/2.12
% 6.75/2.12 % (21929)Memory used [KB]: 7036
% 6.75/2.12 % (21929)Time elapsed: 0.091 s
% 6.75/2.12 % (21929)Instructions burned: 298 (million)
% 6.75/2.12 % (21929)------------------------------
% 6.75/2.12 % (21929)------------------------------
% 6.75/2.13 % (21935)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_21573 for (2992ds/31Mi)
% 6.75/2.13 % (21906)Instruction limit reached!
% 6.75/2.13 % (21906)------------------------------
% 6.75/2.13 % (21906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.13 % (21906)Termination reason: Unknown
% 6.75/2.13 % (21906)Termination phase: Saturation
% 6.75/2.13
% 6.75/2.13 % (21906)Memory used [KB]: 7547
% 6.75/2.13 % (21906)Time elapsed: 0.355 s
% 6.75/2.13 % (21906)Instructions burned: 1090 (million)
% 6.75/2.13 % (21906)------------------------------
% 6.75/2.13 % (21906)------------------------------
% 6.75/2.13 % (21932)Instruction limit reached!
% 6.75/2.13 % (21932)------------------------------
% 6.75/2.13 % (21932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.13 % (21932)Termination reason: Unknown
% 6.75/2.13 % (21932)Termination phase: Saturation
% 6.75/2.13
% 6.75/2.13 % (21932)Memory used [KB]: 6012
% 6.75/2.13 % (21932)Time elapsed: 0.030 s
% 6.75/2.13 % (21932)Instructions burned: 92 (million)
% 6.75/2.13 % (21932)------------------------------
% 6.75/2.13 % (21932)------------------------------
% 6.75/2.14 % (21935)Instruction limit reached!
% 6.75/2.14 % (21935)------------------------------
% 6.75/2.14 % (21935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.14 % (21935)Termination reason: Unknown
% 6.75/2.14 % (21935)Termination phase: Saturation
% 6.75/2.14
% 6.75/2.14 % (21935)Memory used [KB]: 5884
% 6.75/2.14 % (21935)Time elapsed: 0.011 s
% 6.75/2.14 % (21935)Instructions burned: 33 (million)
% 6.75/2.14 % (21935)------------------------------
% 6.75/2.14 % (21935)------------------------------
% 6.75/2.14 % (21936)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_21573 for (2992ds/297Mi)
% 6.75/2.14 % (21937)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_21573 for (2992ds/987Mi)
% 6.75/2.15 % (21938)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_21573 for (2992ds/182Mi)
% 6.75/2.16 % (21931)Instruction limit reached!
% 6.75/2.16 % (21931)------------------------------
% 6.75/2.16 % (21931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.16 % (21931)Termination reason: Unknown
% 6.75/2.16 % (21931)Termination phase: Saturation
% 6.75/2.16
% 6.75/2.16 % (21931)Memory used [KB]: 7419
% 6.75/2.16 % (21931)Time elapsed: 0.080 s
% 6.75/2.16 % (21931)Instructions burned: 260 (million)
% 6.75/2.16 % (21931)------------------------------
% 6.75/2.16 % (21931)------------------------------
% 6.75/2.17 % (21939)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_21573 for (2992ds/182Mi)
% 6.75/2.19 % (21933)Instruction limit reached!
% 6.75/2.19 % (21933)------------------------------
% 6.75/2.19 % (21933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.19 % (21933)Termination reason: Unknown
% 6.75/2.19 % (21933)Termination phase: Saturation
% 6.75/2.19
% 6.75/2.19 % (21933)Memory used [KB]: 6268
% 6.75/2.19 % (21933)Time elapsed: 0.077 s
% 6.75/2.19 % (21933)Instructions burned: 233 (million)
% 6.75/2.19 % (21933)------------------------------
% 6.75/2.19 % (21933)------------------------------
% 7.22/2.20 % (21940)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_21573 for (2992ds/154Mi)
% 7.22/2.21 % (21938)Instruction limit reached!
% 7.22/2.21 % (21938)------------------------------
% 7.22/2.21 % (21938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.21 % (21938)Termination reason: Unknown
% 7.22/2.21 % (21938)Termination phase: Saturation
% 7.22/2.21
% 7.22/2.21 % (21938)Memory used [KB]: 6908
% 7.22/2.21 % (21938)Time elapsed: 0.056 s
% 7.22/2.21 % (21938)Instructions burned: 183 (million)
% 7.22/2.21 % (21938)------------------------------
% 7.22/2.21 % (21938)------------------------------
% 7.22/2.21 % (21940)Refutation not found, incomplete strategy
% 7.22/2.21 % (21940)------------------------------
% 7.22/2.21 % (21940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.21 % (21940)Termination reason: Refutation not found, incomplete strategy
% 7.22/2.21
% 7.22/2.21
% 7.22/2.21 % (21940)Memory used [KB]: 5756
% 7.22/2.21 % (21940)Time elapsed: 0.012 s
% 7.22/2.21 % (21940)Instructions burned: 36 (million)
% 7.22/2.21 % (21940)------------------------------
% 7.22/2.21 % (21940)------------------------------
% 7.22/2.22 % (21941)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_21573 for (2991ds/79Mi)
% 7.22/2.22 % (21942)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_21573 for (2991ds/216Mi)
% 7.22/2.23 % (21939)Instruction limit reached!
% 7.22/2.23 % (21939)------------------------------
% 7.22/2.23 % (21939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.23 % (21939)Termination reason: Unknown
% 7.22/2.23 % (21939)Termination phase: Saturation
% 7.22/2.23
% 7.22/2.23 % (21939)Memory used [KB]: 6268
% 7.22/2.23 % (21939)Time elapsed: 0.062 s
% 7.22/2.23 % (21939)Instructions burned: 183 (million)
% 7.22/2.23 % (21939)------------------------------
% 7.22/2.23 % (21939)------------------------------
% 7.22/2.23 % (21924)Instruction limit reached!
% 7.22/2.23 % (21924)------------------------------
% 7.22/2.23 % (21924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.23 % (21924)Termination reason: Unknown
% 7.22/2.23 % (21924)Termination phase: Saturation
% 7.22/2.23
% 7.22/2.23 % (21924)Memory used [KB]: 7547
% 7.22/2.23 % (21924)Time elapsed: 0.278 s
% 7.22/2.23 % (21924)Instructions burned: 616 (million)
% 7.22/2.23 % (21924)------------------------------
% 7.22/2.23 % (21924)------------------------------
% 7.22/2.23 % (21936)Instruction limit reached!
% 7.22/2.23 % (21936)------------------------------
% 7.22/2.23 % (21936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.23 % (21936)Termination reason: Unknown
% 7.22/2.23 % (21936)Termination phase: Saturation
% 7.22/2.23
% 7.22/2.23 % (21936)Memory used [KB]: 6524
% 7.22/2.23 % (21936)Time elapsed: 0.093 s
% 7.22/2.23 % (21936)Instructions burned: 298 (million)
% 7.22/2.23 % (21936)------------------------------
% 7.22/2.23 % (21936)------------------------------
% 7.22/2.24 % (21943)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_21573 for (2991ds/114Mi)
% 7.22/2.24 % (21941)Instruction limit reached!
% 7.22/2.24 % (21941)------------------------------
% 7.22/2.24 % (21941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.24 % (21941)Termination reason: Unknown
% 7.22/2.24 % (21941)Termination phase: Saturation
% 7.22/2.24
% 7.22/2.24 % (21941)Memory used [KB]: 6140
% 7.22/2.24 % (21941)Time elapsed: 0.027 s
% 7.22/2.24 % (21941)Instructions burned: 79 (million)
% 7.22/2.24 % (21941)------------------------------
% 7.22/2.24 % (21941)------------------------------
% 7.22/2.24 % (21945)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_21573 for (2991ds/182Mi)
% 7.22/2.24 % (21944)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_21573 for (2991ds/922Mi)
% 7.22/2.25 % (21946)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_21573 for (2991ds/164Mi)
% 7.22/2.26 % (21934)Instruction limit reached!
% 7.22/2.26 % (21934)------------------------------
% 7.22/2.26 % (21934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.26 % (21934)Termination reason: Unknown
% 7.22/2.26 % (21934)Termination phase: Saturation
% 7.22/2.26
% 7.22/2.26 % (21934)Memory used [KB]: 6652
% 7.22/2.26 % (21934)Time elapsed: 0.148 s
% 7.22/2.26 % (21934)Instructions burned: 459 (million)
% 7.22/2.26 % (21934)------------------------------
% 7.22/2.26 % (21934)------------------------------
% 7.22/2.27 % (21947)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_21573 for (2991ds/50Mi)
% 7.22/2.27 % (21943)Instruction limit reached!
% 7.22/2.27 % (21943)------------------------------
% 7.22/2.27 % (21943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.27 % (21943)Termination reason: Unknown
% 7.22/2.27 % (21943)Termination phase: Saturation
% 7.22/2.27
% 7.22/2.27 % (21943)Memory used [KB]: 6012
% 7.22/2.27 % (21943)Time elapsed: 0.037 s
% 7.22/2.27 % (21943)Instructions burned: 115 (million)
% 7.22/2.27 % (21943)------------------------------
% 7.22/2.27 % (21943)------------------------------
% 7.22/2.28 % (21942)Instruction limit reached!
% 7.22/2.28 % (21942)------------------------------
% 7.22/2.28 % (21942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.28 % (21942)Termination reason: Unknown
% 7.22/2.28 % (21942)Termination phase: Saturation
% 7.22/2.28
% 7.22/2.28 % (21942)Memory used [KB]: 6012
% 7.22/2.28 % (21942)Time elapsed: 0.066 s
% 7.22/2.28 % (21942)Instructions burned: 218 (million)
% 7.22/2.28 % (21942)------------------------------
% 7.22/2.28 % (21942)------------------------------
% 7.22/2.28 % (21948)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_21573 for (2991ds/368Mi)
% 7.22/2.29 % (21947)Instruction limit reached!
% 7.22/2.29 % (21947)------------------------------
% 7.22/2.29 % (21947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.29 % (21947)Termination reason: Unknown
% 7.22/2.29 % (21947)Termination phase: Saturation
% 7.22/2.29
% 7.22/2.29 % (21947)Memory used [KB]: 10490
% 7.22/2.29 % (21947)Time elapsed: 0.017 s
% 7.22/2.29 % (21947)Instructions burned: 52 (million)
% 7.22/2.29 % (21947)------------------------------
% 7.22/2.29 % (21947)------------------------------
% 7.22/2.29 % (21949)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_21573 for (2991ds/1021Mi)
% 7.86/2.30 % (21950)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_21573 for (2991ds/267Mi)
% 7.86/2.30 % (21945)Instruction limit reached!
% 7.86/2.30 % (21945)------------------------------
% 7.86/2.30 % (21945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.30 % (21945)Termination reason: Unknown
% 7.86/2.30 % (21945)Termination phase: Saturation
% 7.86/2.30
% 7.86/2.30 % (21945)Memory used [KB]: 6268
% 7.86/2.30 % (21945)Time elapsed: 0.057 s
% 7.86/2.30 % (21945)Instructions burned: 184 (million)
% 7.86/2.30 % (21945)------------------------------
% 7.86/2.30 % (21945)------------------------------
% 7.86/2.30 % (21946)Instruction limit reached!
% 7.86/2.30 % (21946)------------------------------
% 7.86/2.30 % (21946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.30 % (21946)Termination reason: Unknown
% 7.86/2.30 % (21946)Termination phase: Saturation
% 7.86/2.30
% 7.86/2.30 % (21946)Memory used [KB]: 1279
% 7.86/2.30 % (21946)Time elapsed: 0.051 s
% 7.86/2.30 % (21946)Instructions burned: 166 (million)
% 7.86/2.30 % (21946)------------------------------
% 7.86/2.30 % (21946)------------------------------
% 7.86/2.31 % (21951)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_21573 for (2991ds/204Mi)
% 7.86/2.31 % (21952)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_21573 for (2991ds/26Mi)
% 7.86/2.32 % (21952)Instruction limit reached!
% 7.86/2.32 % (21952)------------------------------
% 7.86/2.32 % (21952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.32 % (21952)Termination reason: Unknown
% 7.86/2.32 % (21952)Termination phase: Saturation
% 7.86/2.32
% 7.86/2.32 % (21952)Memory used [KB]: 5756
% 7.86/2.32 % (21952)Time elapsed: 0.009 s
% 7.86/2.32 % (21952)Instructions burned: 26 (million)
% 7.86/2.32 % (21952)------------------------------
% 7.86/2.32 % (21952)------------------------------
% 7.86/2.33 % (21953)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_21573 for (2990ds/53Mi)
% 7.86/2.34 % (21953)Instruction limit reached!
% 7.86/2.34 % (21953)------------------------------
% 7.86/2.34 % (21953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.34 % (21953)Termination reason: Unknown
% 7.86/2.34 % (21953)Termination phase: Saturation
% 7.86/2.34
% 7.86/2.34 % (21953)Memory used [KB]: 5884
% 7.86/2.34 % (21953)Time elapsed: 0.017 s
% 7.86/2.34 % (21953)Instructions burned: 53 (million)
% 7.86/2.34 % (21953)------------------------------
% 7.86/2.34 % (21953)------------------------------
% 7.86/2.35 % (21954)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_21573 for (2990ds/4436Mi)
% 7.86/2.37 % (21951)Instruction limit reached!
% 7.86/2.37 % (21951)------------------------------
% 7.86/2.37 % (21951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.37 % (21951)Termination reason: Unknown
% 7.86/2.37 % (21951)Termination phase: Saturation
% 7.86/2.37
% 7.86/2.37 % (21951)Memory used [KB]: 6268
% 7.86/2.37 % (21951)Time elapsed: 0.066 s
% 7.86/2.37 % (21951)Instructions burned: 205 (million)
% 7.86/2.37 % (21951)------------------------------
% 7.86/2.37 % (21951)------------------------------
% 7.86/2.38 % (21950)Instruction limit reached!
% 7.86/2.38 % (21950)------------------------------
% 7.86/2.38 % (21950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.38 % (21950)Termination reason: Unknown
% 7.86/2.38 % (21950)Termination phase: Saturation
% 7.86/2.38
% 7.86/2.38 % (21950)Memory used [KB]: 6524
% 7.86/2.38 % (21950)Time elapsed: 0.085 s
% 7.86/2.38 % (21950)Instructions burned: 268 (million)
% 7.86/2.38 % (21950)------------------------------
% 7.86/2.38 % (21950)------------------------------
% 7.86/2.38 % (21955)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_21573 for (2990ds/1539Mi)
% 7.86/2.39 % (21956)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_21573 for (2990ds/408Mi)
% 8.20/2.40 % (21948)Instruction limit reached!
% 8.20/2.40 % (21948)------------------------------
% 8.20/2.40 % (21948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.40 % (21948)Termination reason: Unknown
% 8.20/2.40 % (21948)Termination phase: Saturation
% 8.20/2.40
% 8.20/2.40 % (21948)Memory used [KB]: 7164
% 8.20/2.40 % (21948)Time elapsed: 0.117 s
% 8.20/2.40 % (21948)Instructions burned: 368 (million)
% 8.20/2.40 % (21948)------------------------------
% 8.20/2.40 % (21948)------------------------------
% 8.20/2.41 % (21957)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_21573 for (2990ds/5205Mi)
% 8.20/2.43 % (21944)First to succeed.
% 8.20/2.43 % (21944)Refutation found. Thanks to Tanya!
% 8.20/2.43 % SZS status Theorem for DTF2THF_21573
% 8.20/2.43 % SZS output start Proof for DTF2THF_21573
% 8.20/2.43 thf(type_def_6, type, tyop_2Einteger_2Eint: $tType).
% 8.20/2.43 thf(func_def_0, type, tyop_2Einteger_2Eint: $tType).
% 8.20/2.43 thf(func_def_1, type, tyop_2Emin_2Ebool: $tType).
% 8.20/2.43 thf(func_def_2, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 8.20/2.43 thf(func_def_3, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 8.20/2.43 thf(func_def_4, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 8.20/2.43 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 8.20/2.43 thf(func_def_6, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 8.20/2.43 thf(func_def_7, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 8.20/2.43 thf(func_def_10, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 8.20/2.43 thf(func_def_11, type, c_2Einteger_2Eint__add: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_12, type, c_2Einteger_2Eint__divides: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o).
% 8.20/2.43 thf(func_def_13, type, c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_14, type, c_2Einteger_2Eint__sub: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_15, type, c_2Ebool_2E_7E: $o > $o).
% 8.20/2.43 thf(func_def_25, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 8.20/2.43 thf(func_def_26, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 8.20/2.43 thf(func_def_27, type, sK2: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 8.20/2.43 thf(func_def_28, type, sK3: tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_29, type, sK4: tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_30, type, sK5: tyop_2Einteger_2Eint).
% 8.20/2.43 thf(func_def_32, type, ph7: !>[X0: $tType]:(X0)).
% 8.20/2.43 thf(f3535,plain,(
% 8.20/2.43 $false),
% 8.20/2.43 inference(avatar_sat_refutation,[status(thm)],[f179,f188,f197,f242,f3439,f3457,f3466,f3469,f3534])).
% 8.20/2.43 thf(f3534,plain,(
% 8.20/2.43 spl6_4 | ~spl6_5 | ~spl6_127),
% 8.20/2.43 inference(avatar_contradiction_clause,[status(thm)],[f3533])).
% 8.20/2.43 thf(f3533,plain,(
% 8.20/2.43 $false | (spl6_4 | ~spl6_5 | ~spl6_127)),
% 8.20/2.43 inference(subsumption_resolution,[status(thm)],[f3532,f182])).
% 8.20/2.43 thf(f182,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) != $true) | spl6_4),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f181])).
% 8.20/2.43 thf(f181,definition,(
% 8.20/2.43 spl6_4 <=> ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition])).
% 8.20/2.43 thf(f3532,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true) | (~spl6_5 | ~spl6_127)),
% 8.20/2.43 inference(subsumption_resolution,[status(thm)],[f3516,f3434])).
% 8.20/2.43 thf(f3434,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) = $true) | ~spl6_127),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f3433])).
% 8.20/2.43 thf(f3433,definition,(
% 8.20/2.43 spl6_127 <=> ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) = $true)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_127])],[avatar_definition])).
% 8.20/2.43 thf(f3516,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true) | ~spl6_5),
% 8.20/2.43 inference(trivial_inequality_removal,[status(thm)],[f3508])).
% 8.20/2.43 thf(f3508,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true) | ($false = $true) | ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | ~spl6_5),
% 8.20/2.43 inference(superposition,[status(thm)],[f757,f187])).
% 8.20/2.43 thf(f187,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4)) = $true) | ~spl6_5),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f185])).
% 8.20/2.43 thf(f185,definition,(
% 8.20/2.43 spl6_5 <=> ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4)) = $true)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_5])],[avatar_definition])).
% 8.20/2.43 thf(f757,plain,(
% 8.20/2.43 ( ! [X2 : tyop_2Einteger_2Eint,X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X2 @ (c_2Einteger_2Eint__sub @ X0 @ X1)) = $false) | ($true = (c_2Einteger_2Eint__divides @ X2 @ X0)) | ((c_2Einteger_2Eint__divides @ X2 @ (c_2Einteger_2Eint__neg @ X1)) != $true)) )),
% 8.20/2.43 inference(superposition,[status(thm)],[f158,f139])).
% 8.20/2.43 thf(f139,plain,(
% 8.20/2.43 ( ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__add @ X0 @ (c_2Einteger_2Eint__neg @ X1)) = (c_2Einteger_2Eint__sub @ X0 @ X1))) )),
% 8.20/2.43 inference(cnf_transformation,[status(thm)],[f99])).
% 8.20/2.43 thf(f99,plain,(
% 8.20/2.43 ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__add @ X0 @ (c_2Einteger_2Eint__neg @ X1)) = (c_2Einteger_2Eint__sub @ X0 @ X1))),
% 8.20/2.43 inference(rectify,[status(thm)],[f20])).
% 8.20/2.43 thf(f20,axiom,(
% 8.20/2.43 ! [X16 : tyop_2Einteger_2Eint,X17 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__sub @ X16 @ X17) = (c_2Einteger_2Eint__add @ X16 @ (c_2Einteger_2Eint__neg @ X17)))),
% 8.20/2.43 file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2Eint__sub)).
% 8.20/2.43 thf(f158,plain,(
% 8.20/2.43 ( ! [X2 : tyop_2Einteger_2Eint,X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = $false) | ((c_2Einteger_2Eint__divides @ X0 @ X2) = $true) | ((c_2Einteger_2Eint__divides @ X0 @ X1) != $true)) )),
% 8.20/2.43 inference(binary_proxy_clausification,[status(thm)],[f140])).
% 8.20/2.43 thf(f140,plain,(
% 8.20/2.43 ( ! [X2 : tyop_2Einteger_2Eint,X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X1) != $true) | ((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = (c_2Einteger_2Eint__divides @ X0 @ X2))) )),
% 8.20/2.43 inference(cnf_transformation,[status(thm)],[f100])).
% 8.20/2.43 thf(f100,plain,(
% 8.20/2.43 ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = (c_2Einteger_2Eint__divides @ X0 @ X2)) | ((c_2Einteger_2Eint__divides @ X0 @ X1) != $true))),
% 8.20/2.43 inference(ennf_transformation,[status(thm)],[f69])).
% 8.20/2.43 thf(f69,plain,(
% 8.20/2.43 ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X1) = $true) => ((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = (c_2Einteger_2Eint__divides @ X0 @ X2)))),
% 8.20/2.43 inference(fool_elimination,[status(thm)],[f68])).
% 8.20/2.43 thf(f68,plain,(
% 8.20/2.43 ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__divides @ X0 @ X1) => ((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = (c_2Einteger_2Eint__divides @ X0 @ X2)))),
% 8.20/2.43 inference(rectify,[status(thm)],[f21])).
% 8.20/2.43 thf(f21,axiom,(
% 8.20/2.43 ! [X18 : tyop_2Einteger_2Eint,X19 : tyop_2Einteger_2Eint,X20 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__divides @ X18 @ X19) => ((c_2Einteger_2Eint__divides @ X18 @ (c_2Einteger_2Eint__add @ X20 @ X19)) = (c_2Einteger_2Eint__divides @ X18 @ X20)))),
% 8.20/2.43 file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__RADD)).
% 8.20/2.43 thf(f3469,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK4) != $true) | ((c_2Einteger_2Eint__divides @ sK3 @ sK4) != $false) | ($false = $true)),
% 8.20/2.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.20/2.43 thf(f3466,plain,(
% 8.20/2.43 ($false != (c_2Einteger_2Eint__divides @ sK3 @ sK5)) | ((c_2Einteger_2Eint__divides @ sK3 @ sK5) != $true) | ($false = $true)),
% 8.20/2.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.20/2.43 thf(f3457,plain,(
% 8.20/2.43 spl6_129 | spl6_127),
% 8.20/2.43 inference(avatar_split_clause,[status(thm)],[f3446,f3433,f3454])).
% 8.20/2.43 thf(f3454,definition,(
% 8.20/2.43 spl6_129 <=> ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $false)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_129])],[avatar_definition])).
% 8.20/2.43 thf(f3446,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $false) | spl6_127),
% 8.20/2.43 inference(trivial_inequality_removal,[status(thm)],[f3442])).
% 8.20/2.43 thf(f3442,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $false) | ($true != $true) | spl6_127),
% 8.20/2.43 inference(superposition,[status(thm)],[f3435,f166])).
% 8.20/2.43 thf(f166,plain,(
% 8.20/2.43 ( ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (($true = (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__neg @ X1))) | ((c_2Einteger_2Eint__divides @ X0 @ X1) = $false)) )),
% 8.20/2.43 inference(binary_proxy_clausification,[status(thm)],[f132])).
% 8.20/2.43 thf(f132,plain,(
% 8.20/2.43 ( ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X1) = (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__neg @ X1)))) )),
% 8.20/2.43 inference(cnf_transformation,[status(thm)],[f98])).
% 8.20/2.43 thf(f98,plain,(
% 8.20/2.43 ! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X1) = (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__neg @ X1))) & ((c_2Einteger_2Eint__divides @ X0 @ X1) = (c_2Einteger_2Eint__divides @ (c_2Einteger_2Eint__neg @ X0) @ X1)))),
% 8.20/2.43 inference(rectify,[status(thm)],[f22])).
% 8.20/2.43 thf(f22,axiom,(
% 8.20/2.43 ! [X18 : tyop_2Einteger_2Eint,X19 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X18 @ X19) = (c_2Einteger_2Eint__divides @ (c_2Einteger_2Eint__neg @ X18) @ X19)) & ((c_2Einteger_2Eint__divides @ X18 @ X19) = (c_2Einteger_2Eint__divides @ X18 @ (c_2Einteger_2Eint__neg @ X19))))),
% 8.20/2.43 file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__NEG)).
% 8.20/2.43 thf(f3435,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | spl6_127),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f3433])).
% 8.20/2.43 thf(f3439,plain,(
% 8.20/2.43 ~spl6_127 | ~spl6_4 | ~spl6_6),
% 8.20/2.43 inference(avatar_split_clause,[status(thm)],[f3438,f190,f181,f3433])).
% 8.20/2.43 thf(f190,definition,(
% 8.20/2.43 spl6_6 <=> ($false = (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4)))),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_6])],[avatar_definition])).
% 8.20/2.43 thf(f3438,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | (~spl6_4 | ~spl6_6)),
% 8.20/2.43 inference(trivial_inequality_removal,[status(thm)],[f3437])).
% 8.20/2.43 thf(f3437,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | ($false = $true) | (~spl6_4 | ~spl6_6)),
% 8.20/2.43 inference(forward_demodulation,[status(thm)],[f3427,f183])).
% 8.20/2.43 thf(f183,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true) | ~spl6_4),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f181])).
% 8.20/2.43 thf(f3427,plain,(
% 8.20/2.43 ($false = (c_2Einteger_2Eint__divides @ sK3 @ sK5)) | ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | ~spl6_6),
% 8.20/2.43 inference(trivial_inequality_removal,[status(thm)],[f3424])).
% 8.20/2.43 thf(f3424,plain,(
% 8.20/2.43 ($false = (c_2Einteger_2Eint__divides @ sK3 @ sK5)) | ($false = $true) | ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__neg @ sK4)) != $true) | ~spl6_6),
% 8.20/2.43 inference(superposition,[status(thm)],[f192,f744])).
% 8.20/2.43 thf(f744,plain,(
% 8.20/2.43 ( ! [X2 : tyop_2Einteger_2Eint,X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X2 @ (c_2Einteger_2Eint__sub @ X0 @ X1)) = $true) | ((c_2Einteger_2Eint__divides @ X2 @ (c_2Einteger_2Eint__neg @ X1)) != $true) | ($false = (c_2Einteger_2Eint__divides @ X2 @ X0))) )),
% 8.20/2.43 inference(superposition,[status(thm)],[f157,f139])).
% 8.20/2.43 thf(f157,plain,(
% 8.20/2.43 ( ! [X2 : tyop_2Einteger_2Eint,X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__add @ X2 @ X1)) = $true) | ((c_2Einteger_2Eint__divides @ X0 @ X2) = $false) | ((c_2Einteger_2Eint__divides @ X0 @ X1) != $true)) )),
% 8.20/2.43 inference(binary_proxy_clausification,[status(thm)],[f140])).
% 8.20/2.43 thf(f192,plain,(
% 8.20/2.43 ($false = (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4))) | ~spl6_6),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f190])).
% 8.20/2.43 thf(f242,plain,(
% 8.20/2.43 ~spl6_9),
% 8.20/2.43 inference(avatar_contradiction_clause,[status(thm)],[f241])).
% 8.20/2.43 thf(f241,plain,(
% 8.20/2.43 $false | ~spl6_9),
% 8.20/2.43 inference(trivial_inequality_removal,[status(thm)],[f209])).
% 8.20/2.43 thf(f209,plain,(
% 8.20/2.43 ($false = $true) | ~spl6_9),
% 8.20/2.43 inference(avatar_component_clause,[status(thm)],[f208])).
% 8.20/2.43 thf(f208,definition,(
% 8.20/2.43 spl6_9 <=> ($false = $true)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_9])],[avatar_definition])).
% 8.20/2.43 thf(f197,plain,(
% 8.20/2.43 spl6_6 | spl6_7),
% 8.20/2.43 inference(avatar_split_clause,[status(thm)],[f160,f194,f190])).
% 8.20/2.43 thf(f194,definition,(
% 8.20/2.43 spl6_7 <=> ($false = (c_2Einteger_2Eint__divides @ sK3 @ sK5))),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_7])],[avatar_definition])).
% 8.20/2.43 thf(f160,plain,(
% 8.20/2.43 ($false = (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4))) | ($false = (c_2Einteger_2Eint__divides @ sK3 @ sK5))),
% 8.20/2.43 inference(binary_proxy_clausification,[status(thm)],[f122])).
% 8.20/2.43 thf(f122,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) != (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4)))),
% 8.20/2.43 inference(cnf_transformation,[status(thm)],[f112])).
% 8.20/2.43 thf(f112,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK5) != (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4))) & ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $true)),
% 8.20/2.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f103,f111])).
% 8.20/2.43 thf(f111,plain,(
% 8.20/2.43 ? [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X2) != (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__sub @ X2 @ X1))) & ((c_2Einteger_2Eint__divides @ X0 @ X1) = $true)) => (((c_2Einteger_2Eint__divides @ sK3 @ sK5) != (c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4))) & ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $true))),
% 8.20/2.43 introduced(definition,[],[choice_axiom])).
% 8.20/2.43 thf(f103,plain,(
% 8.20/2.43 ? [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X2) != (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__sub @ X2 @ X1))) & ((c_2Einteger_2Eint__divides @ X0 @ X1) = $true))),
% 8.20/2.43 inference(ennf_transformation,[status(thm)],[f41])).
% 8.20/2.43 thf(f41,plain,(
% 8.20/2.43 ~! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : (((c_2Einteger_2Eint__divides @ X0 @ X1) = $true) => ((c_2Einteger_2Eint__divides @ X0 @ X2) = (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__sub @ X2 @ X1))))),
% 8.20/2.43 inference(fool_elimination,[status(thm)],[f40])).
% 8.20/2.43 thf(f40,plain,(
% 8.20/2.43 ~! [X0 : tyop_2Einteger_2Eint,X1 : tyop_2Einteger_2Eint,X2 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__divides @ X0 @ X1) => ((c_2Einteger_2Eint__divides @ X0 @ X2) = (c_2Einteger_2Eint__divides @ X0 @ (c_2Einteger_2Eint__sub @ X2 @ X1))))),
% 8.20/2.43 inference(rectify,[status(thm)],[f34])).
% 8.20/2.43 thf(f34,negated_conjecture,(
% 8.20/2.43 ~! [X18 : tyop_2Einteger_2Eint,X19 : tyop_2Einteger_2Eint,X20 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__divides @ X18 @ X19) => ((c_2Einteger_2Eint__divides @ X18 @ X20) = (c_2Einteger_2Eint__divides @ X18 @ (c_2Einteger_2Eint__sub @ X20 @ X19))))),
% 8.20/2.43 inference(negated_conjecture,[status(cth)],[f33])).
% 8.20/2.43 thf(f33,conjecture,(
% 8.20/2.43 ! [X18 : tyop_2Einteger_2Eint,X19 : tyop_2Einteger_2Eint,X20 : tyop_2Einteger_2Eint] : ((c_2Einteger_2Eint__divides @ X18 @ X19) => ((c_2Einteger_2Eint__divides @ X18 @ X20) = (c_2Einteger_2Eint__divides @ X18 @ (c_2Einteger_2Eint__sub @ X20 @ X19))))),
% 8.20/2.43 file('/export/starexec/sandbox2/tmp/tmp.M6x9oaxeDc/DTF2THF_21573.p',thm_2Einteger_2EINT__DIVIDES__RSUB)).
% 8.20/2.43 thf(f188,plain,(
% 8.20/2.43 spl6_4 | spl6_5),
% 8.20/2.43 inference(avatar_split_clause,[status(thm)],[f159,f185,f181])).
% 8.20/2.43 thf(f159,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ (c_2Einteger_2Eint__sub @ sK5 @ sK4)) = $true) | ((c_2Einteger_2Eint__divides @ sK3 @ sK5) = $true)),
% 8.20/2.43 inference(binary_proxy_clausification,[status(thm)],[f122])).
% 8.20/2.43 thf(f179,plain,(
% 8.20/2.43 spl6_3),
% 8.20/2.43 inference(avatar_split_clause,[status(thm)],[f121,f176])).
% 8.20/2.43 thf(f176,definition,(
% 8.20/2.43 spl6_3 <=> ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $true)),
% 8.20/2.43 introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition])).
% 8.20/2.43 thf(f121,plain,(
% 8.20/2.43 ((c_2Einteger_2Eint__divides @ sK3 @ sK4) = $true)),
% 8.20/2.43 inference(cnf_transformation,[status(thm)],[f112])).
% 8.20/2.43 % SZS output end Proof for DTF2THF_21573
% 8.20/2.43 % (21944)------------------------------
% 8.20/2.43 % (21944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.43 % (21944)Termination reason: Refutation
% 8.20/2.43
% 8.20/2.43 % (21944)Memory used [KB]: 7291
% 8.20/2.43 % (21944)Time elapsed: 0.190 s
% 8.20/2.43 % (21944)Instructions burned: 545 (million)
% 8.20/2.43 % (21944)------------------------------
% 8.20/2.43 % (21944)------------------------------
% 8.20/2.43 % (21857)Success in time 1.027 s
%------------------------------------------------------------------------------