%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET019^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:23:11 AM UTC 2026
% Result : Theorem 0.66s 0.35s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 42 unt; 0 typ; 8 def)
% Number of atoms : 717 ( 136 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 941 ( 68 ~; 118 |; 25 &; 657 @)
% ( 9 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 53 usr; 14 con; 0-4 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 164 ( 0 sgn 21 !; 0 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
eiw_di: $i > mworld > $o ).
thf(func_def_12,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_15,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_16,type,
equal_set: $i > $i > mworld > $o ).
thf(func_def_17,type,
member: $i > $i > mworld > $o ).
thf(func_def_18,type,
subset: $i > $i > mworld > $o ).
thf(func_def_19,type,
singleton: $i > $i ).
thf(func_def_20,type,
product: $i > $i ).
thf(func_def_21,type,
unordered_pair: $i > $i > $i ).
thf(func_def_22,type,
intersection: $i > $i > $i ).
thf(func_def_23,type,
difference: $i > $i > $i ).
thf(func_def_24,type,
sum: $i > $i ).
thf(func_def_25,type,
union: $i > $i > $i ).
thf(func_def_26,type,
power_set: $i > $i ).
thf(func_def_27,type,
vOR: $o > $o > $o ).
thf(func_def_28,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_34,type,
vNOT: $o > $o ).
thf(func_def_35,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_36,type,
vIMP: $o > $o > $o ).
thf(func_def_37,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vAND: $o > $o > $o ).
thf(func_def_39,type,
vIFF: $o > $o > $o ).
thf(func_def_40,type,
sK0: mworld > $i ).
thf(func_def_41,type,
sF1: $o ).
thf(func_def_42,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
sK2: $i > $i > $i ).
thf(func_def_45,type,
sK3: $i > $i > $i ).
thf(func_def_46,type,
sK4: $i > $i > $i ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(f6,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
<=> ( X0 @ X2 ) ) )
= mequiv ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def) ).
thf(f12,axiom,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f36,axiom,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mequiv @ ( equal_set @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set_0) ).
thf(f46,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( equal_set @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI02) ).
thf(f47,negated_conjecture,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( equal_set @ X0 @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
thf(f58,plain,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( equal_set @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f47]) ).
thf(f59,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f58]) ).
thf(f60,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f65,plain,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f66,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f93,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
<=> ( X0 @ X2 ) ) )
= mequiv ),
inference(rectify,[],[f6]) ).
thf(f94,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f93]) ).
thf(f111,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mequiv @ ( equal_set @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f36]) ).
thf(f112,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mequiv @ ( equal_set @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f111]) ).
thf(f115,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f116,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f115]) ).
thf(f129,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f130,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f129]) ).
thf(f139,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f59]) ).
thf(f155,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mequiv @ ( equal_set @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f159,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f116]) ).
thf(f165,plain,
( $true
!= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f139]) ).
thf(f171,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f173,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f184,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f130]) ).
thf(f186,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f201,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y3 @ Y4 )
= ( Y2 @ Y4 ) )
@ ( equal_set @ Y0 @ Y1 )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f155,f186,f171,f171,f173,f159]) ).
thf(f208,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) )
@ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f165,f186,f171,f171,f184,f159]) ).
thf(f224,definition,
( sF1
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) )
@ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f225,plain,
$true != sF1,
inference(definition_folding,[],[f208,f224]) ).
thf(f378,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
=> ( ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) )
= ( equal_set @ Y0 @ Y1 @ mactual ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f201]) ).
thf(f379,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
=> ( ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) )
= ( equal_set @ Y0 @ Y1 @ mactual ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f378]) ).
thf(f380,plain,
! [X1: $i] :
( $true
= ( ( eiw_di @ X1 @ mactual )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ X1 @ Y0 @ mactual )
& ( subset @ Y0 @ X1 @ mactual ) )
= ( equal_set @ X1 @ Y0 @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f379]) ).
thf(f381,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ X1 @ Y0 @ mactual )
& ( subset @ Y0 @ X1 @ mactual ) )
= ( equal_set @ X1 @ Y0 @ mactual ) ) ) ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) ) ),
inference(imp_proxy_clausification,[],[f380]) ).
thf(f382,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ X1 @ Y0 @ mactual )
& ( subset @ Y0 @ X1 @ mactual ) )
= ( equal_set @ X1 @ Y0 @ mactual ) ) )
@ X2 ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) ) ),
inference(pi_proxy_clausification,[],[f381]) ).
thf(f383,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( eiw_di @ X2 @ mactual )
=> ( ( ( subset @ X1 @ X2 @ mactual )
& ( subset @ X2 @ X1 @ mactual ) )
= ( equal_set @ X1 @ X2 @ mactual ) ) ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) ) ),
inference(beta-eta_normalization,[],[f382]) ).
thf(f384,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) )
| ( $true
= ( ( ( subset @ X1 @ X2 @ mactual )
& ( subset @ X2 @ X1 @ mactual ) )
= ( equal_set @ X1 @ X2 @ mactual ) ) ) ),
inference(imp_proxy_clausification,[],[f383]) ).
thf(f385,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) )
| ( ( ( subset @ X1 @ X2 @ mactual )
& ( subset @ X2 @ X1 @ mactual ) )
= ( equal_set @ X1 @ X2 @ mactual ) ) ),
inference(iff_proxy_clausification,[],[f384]) ).
thf(f387,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( eiw_di @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( ( subset @ X1 @ X2 @ mactual )
& ( subset @ X2 @ X1 @ mactual ) ) )
| ( $true
= ( equal_set @ X1 @ X2 @ mactual ) ) ),
inference(iff_proxy_clausification,[],[f385]) ).
thf(f388,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( subset @ X2 @ X1 @ mactual ) )
| ( $true
= ( equal_set @ X1 @ X2 @ mactual ) )
| ( $false
= ( subset @ X1 @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) ) ),
inference(and_proxy_clausification,[],[f387]) ).
thf(f562,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) )
@ ( equal_set @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f224]) ).
thf(f573,plain,
( ( $true = sF1 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
=> ( ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) )
=> ( equal_set @ Y0 @ Y1 @ mactual ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f562]) ).
thf(f574,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
=> ( ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) )
=> ( equal_set @ Y0 @ Y1 @ mactual ) ) ) ) )
@ sK5 ) ) ),
inference(sigma_proxy_clausification,[],[f573]) ).
thf(f575,plain,
( ( $false
= ( ( eiw_di @ sK5 @ mactual )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ sK5 @ Y0 @ mactual )
& ( subset @ Y0 @ sK5 @ mactual ) )
=> ( equal_set @ sK5 @ Y0 @ mactual ) ) ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f574]) ).
thf(f576,plain,
( ( $true = sF1 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ sK5 @ Y0 @ mactual )
& ( subset @ Y0 @ sK5 @ mactual ) )
=> ( equal_set @ sK5 @ Y0 @ mactual ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f575]) ).
thf(f577,plain,
( ( $true = sF1 )
| ( $true
= ( eiw_di @ sK5 @ mactual ) ) ),
inference(imp_proxy_clausification,[],[f575]) ).
thf(f578,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( ( subset @ sK5 @ Y0 @ mactual )
& ( subset @ Y0 @ sK5 @ mactual ) )
=> ( equal_set @ sK5 @ Y0 @ mactual ) ) )
@ sK6 ) ) ),
inference(sigma_proxy_clausification,[],[f576]) ).
thf(f579,plain,
( ( $false
= ( ( eiw_di @ sK6 @ mactual )
=> ( ( ( subset @ sK5 @ sK6 @ mactual )
& ( subset @ sK6 @ sK5 @ mactual ) )
=> ( equal_set @ sK5 @ sK6 @ mactual ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f578]) ).
thf(f580,plain,
( ( $true = sF1 )
| ( $false
= ( ( ( subset @ sK5 @ sK6 @ mactual )
& ( subset @ sK6 @ sK5 @ mactual ) )
=> ( equal_set @ sK5 @ sK6 @ mactual ) ) ) ),
inference(imp_proxy_clausification,[],[f579]) ).
thf(f581,plain,
( ( $true = sF1 )
| ( $true
= ( eiw_di @ sK6 @ mactual ) ) ),
inference(imp_proxy_clausification,[],[f579]) ).
thf(f582,plain,
( ( $false
= ( equal_set @ sK5 @ sK6 @ mactual ) )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f580]) ).
thf(f583,plain,
( ( $true
= ( ( subset @ sK5 @ sK6 @ mactual )
& ( subset @ sK6 @ sK5 @ mactual ) ) )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f580]) ).
thf(f584,plain,
( ( $true = sF1 )
| ( $true
= ( subset @ sK6 @ sK5 @ mactual ) ) ),
inference(and_proxy_clausification,[],[f583]) ).
thf(f585,plain,
( ( $true
= ( subset @ sK5 @ sK6 @ mactual ) )
| ( $true = sF1 ) ),
inference(and_proxy_clausification,[],[f583]) ).
thf(f635,definition,
( spl7_2
<=> ! [X2: $i,X1: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( subset @ X1 @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) )
| ( $true
= ( equal_set @ X1 @ X2 @ mactual ) )
| ( $false
= ( subset @ X2 @ X1 @ mactual ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
thf(f636,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( equal_set @ X1 @ X2 @ mactual ) )
| ( $false
= ( subset @ X2 @ X1 @ mactual ) )
| ( $false
= ( subset @ X1 @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f635]) ).
thf(f639,definition,
( spl7_3
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
thf(f643,definition,
( spl7_4
<=> ( $true
= ( eiw_di @ sK5 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
thf(f645,plain,
( ( $true
= ( eiw_di @ sK5 @ mactual ) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f643]) ).
thf(f646,plain,
( spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f577,f643,f639]) ).
thf(f648,definition,
( spl7_5
<=> ( $true
= ( eiw_di @ sK6 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
thf(f650,plain,
( ( $true
= ( eiw_di @ sK6 @ mactual ) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f648]) ).
thf(f651,plain,
( spl7_5
| spl7_3 ),
inference(avatar_split_clause,[],[f581,f639,f648]) ).
thf(f653,definition,
( spl7_6
<=> ( $true
= ( subset @ sK5 @ sK6 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
thf(f655,plain,
( ( $true
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f653]) ).
thf(f656,plain,
( spl7_6
| spl7_3 ),
inference(avatar_split_clause,[],[f585,f639,f653]) ).
thf(f658,definition,
( spl7_7
<=> ( $true
= ( subset @ sK6 @ sK5 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
thf(f660,plain,
( ( $true
= ( subset @ sK6 @ sK5 @ mactual ) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f658]) ).
thf(f661,plain,
( spl7_7
| spl7_3 ),
inference(avatar_split_clause,[],[f584,f639,f658]) ).
thf(f663,definition,
( spl7_8
<=> ( $false
= ( equal_set @ sK5 @ sK6 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
thf(f665,plain,
( ( $false
= ( equal_set @ sK5 @ sK6 @ mactual ) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f663]) ).
thf(f666,plain,
( spl7_3
| spl7_8 ),
inference(avatar_split_clause,[],[f582,f663,f639]) ).
thf(f667,plain,
~ spl7_3,
inference(avatar_split_clause,[],[f225,f639]) ).
thf(f805,plain,
spl7_2,
inference(avatar_split_clause,[],[f388,f635]) ).
thf(f806,plain,
( ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( $false
= ( eiw_di @ sK6 @ mactual ) )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $true = $false )
| ~ spl7_2
| ~ spl7_8 ),
inference(constrained_superposition,[],[f636,f665]) ).
thf(f809,plain,
( ( $false
= ( eiw_di @ sK6 @ mactual ) )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f806]) ).
thf(f812,plain,
( ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ( $true = $false )
| ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ~ spl7_2
| ~ spl7_5
| ~ spl7_8 ),
inference(forward_demodulation,[],[f809,f650]) ).
thf(f813,plain,
( ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_5
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f812]) ).
thf(f816,plain,
( ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $true = $false )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_8 ),
inference(forward_demodulation,[],[f813,f645]) ).
thf(f817,plain,
( ( $false
= ( subset @ sK6 @ sK5 @ mactual ) )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f816]) ).
thf(f820,plain,
( ( $true = $false )
| ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f817,f660]) ).
thf(f821,plain,
( ( $false
= ( subset @ sK5 @ sK6 @ mactual ) )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f825,plain,
( ( $true = $false )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f821,f655]) ).
thf(f826,plain,
( $false
| ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f825]) ).
thf(f827,plain,
( ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_contradiction_clause,[],[f826]) ).
cnf(s2,plain,
( spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f646]) ).
cnf(s3,plain,
( spl7_3
| spl7_5 ),
inference(sat_conversion,[],[f651]) ).
cnf(s4,plain,
( spl7_3
| spl7_6 ),
inference(sat_conversion,[],[f656]) ).
cnf(s5,plain,
( spl7_3
| spl7_7 ),
inference(sat_conversion,[],[f661]) ).
cnf(s6,plain,
( spl7_3
| spl7_8 ),
inference(sat_conversion,[],[f666]) ).
cnf(s7,plain,
~ spl7_3,
inference(sat_conversion,[],[f667]) ).
cnf(s11,plain,
spl7_2,
inference(sat_conversion,[],[f805]) ).
cnf(s13,plain,
( ~ spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(sat_conversion,[],[f827]) ).
cnf(s15,plain,
spl7_8,
inference(rat,[],[s6,s7]) ).
cnf(s16,plain,
spl7_7,
inference(rat,[],[s5,s7]) ).
cnf(s17,plain,
spl7_6,
inference(rat,[],[s4,s7]) ).
cnf(s18,plain,
spl7_5,
inference(rat,[],[s3,s7]) ).
cnf(s19,plain,
~ spl7_4,
inference(rat,[],[s13,s15,s16,s17,s11,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s19,s7]) ).
thf(f828,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET019^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.17 % Computer : n017.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Tue Sep 29 13:30:52 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.21 Running higher-order theorem proving
% 0.13/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.35 % (333805)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.35 % (333816)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.35 % (333816)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.35 % (333811)lrs+10_16_si=on:nwc=1.5:random_seed=4107283428:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.35 % (333812)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4018746705:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.35 % (333810)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=178762357:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.35 % (333815)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2897679393:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.35 % (333814)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1113312717:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.35 % (333813)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2702543323:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.66/0.35 % (333812)Instruction limit reached!
% 0.66/0.35 % (333812)------------------------------
% 0.66/0.35 % (333812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333812)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333812)Termination reason: Instruction limit
% 0.66/0.35 % (333812)Termination phase: shuffling
% 0.66/0.35 % (333812)Time elapsed: 0.003 s
% 0.66/0.35 % (333812)Peak memory usage: 9 MB
% 0.66/0.35 % (333812)Instructions burned: 3 (million)
% 0.66/0.35 % (333811)Instruction limit reached!
% 0.66/0.35 % (333811)------------------------------
% 0.66/0.35 % (333811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333811)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333811)Termination reason: Instruction limit
% 0.66/0.35 % (333811)Termination phase: Property scanning
% 0.66/0.35 % (333811)Time elapsed: 0.005 s
% 0.66/0.35 % (333811)Peak memory usage: 10 MB
% 0.66/0.35 % (333811)Instructions burned: 20 (million)
% 0.66/0.35 % (333816)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1351077283:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.35 % (333823)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2070790233:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.35 % (333823)Instruction limit reached!
% 0.66/0.35 % (333823)------------------------------
% 0.66/0.35 % (333823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333823)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333823)Termination reason: Instruction limit
% 0.66/0.35 % (333823)Termination phase: shuffling
% 0.66/0.35 % (333823)Time elapsed: 0.001 s
% 0.66/0.35 % (333823)Peak memory usage: 9 MB
% 0.66/0.35 % (333823)Instructions burned: 3 (million)
% 0.66/0.35 % (333814)Instruction limit reached!
% 0.66/0.35 % (333814)------------------------------
% 0.66/0.35 % (333814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333814)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333814)Termination reason: Instruction limit
% 0.66/0.35 % (333814)Termination phase: Saturation
% 0.66/0.35 % (333814)Time elapsed: 0.022 s
% 0.66/0.35 % (333814)Peak memory usage: 11 MB
% 0.66/0.35 % (333814)Instructions burned: 24 (million)
% 0.66/0.35 % (333827)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.35 % (333827)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1335530385:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.35 % (333827)Instruction limit reached!
% 0.66/0.35 % (333827)------------------------------
% 0.66/0.35 % (333827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333827)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333827)Termination reason: Instruction limit
% 0.66/0.35 % (333827)Termination phase: Property scanning
% 0.66/0.35 % (333827)Time elapsed: 0.002 s
% 0.66/0.35 % (333827)Peak memory usage: 10 MB
% 0.66/0.35 % (333827)Instructions burned: 7 (million)
% 0.66/0.35 % (333824)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1612310167:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.35 % (333830)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.35 % (333830)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.35 % (333824)Instruction limit reached!
% 0.66/0.35 % (333824)------------------------------
% 0.66/0.35 % (333824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333824)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333824)Termination reason: Instruction limit
% 0.66/0.35 % (333824)Termination phase: shuffling
% 0.66/0.35 % (333824)Time elapsed: 0.004 s
% 0.66/0.35 % (333824)Peak memory usage: 9 MB
% 0.66/0.35 % (333824)Instructions burned: 5 (million)
% 0.66/0.35 % (333830)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=248141533:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.35 % (333834)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=64488860:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.66/0.35 % (333828)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1370634230:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.35 % (333830)Instruction limit reached!
% 0.66/0.35 % (333830)------------------------------
% 0.66/0.35 % (333830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333830)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333830)Termination reason: Instruction limit
% 0.66/0.35 % (333830)Termination phase: Saturation
% 0.66/0.35 % (333830)Time elapsed: 0.018 s
% 0.66/0.35 % (333830)Peak memory usage: 11 MB
% 0.66/0.35 % (333830)Instructions burned: 28 (million)
% 0.66/0.35 % (333815)Instruction limit reached!
% 0.66/0.35 % (333815)------------------------------
% 0.66/0.35 % (333815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333815)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333815)Termination reason: Instruction limit
% 0.66/0.35 % (333815)Termination phase: Saturation
% 0.66/0.35 % (333815)Time elapsed: 0.062 s
% 0.66/0.35 % (333815)Peak memory usage: 13 MB
% 0.66/0.35 % (333815)Instructions burned: 76 (million)
% 0.66/0.35 % (333828)Instruction limit reached!
% 0.66/0.35 % (333828)------------------------------
% 0.66/0.35 % (333828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333828)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333828)Termination reason: Instruction limit
% 0.66/0.35 % (333828)Termination phase: Property scanning
% 0.66/0.35 % (333828)Time elapsed: 0.010 s
% 0.66/0.35 % (333828)Peak memory usage: 10 MB
% 0.66/0.35 % (333828)Instructions burned: 12 (million)
% 0.66/0.35 % (333810)Instruction limit reached!
% 0.66/0.35 % (333810)------------------------------
% 0.66/0.35 % (333810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333810)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333810)Termination reason: Instruction limit
% 0.66/0.35 % (333810)Termination phase: Saturation
% 0.66/0.35 % (333810)Time elapsed: 0.071 s
% 0.66/0.35 % (333810)Peak memory usage: 12 MB
% 0.66/0.35 % (333810)Instructions burned: 87 (million)
% 0.66/0.35 % (333816) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-333805-333816"...
% 0.66/0.35 % (333834)Instruction limit reached!
% 0.66/0.35 % (333834)------------------------------
% 0.66/0.35 % (333834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333834)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333834)Termination reason: Instruction limit
% 0.66/0.35 % (333834)Termination phase: Saturation
% 0.66/0.35 % (333834)Time elapsed: 0.025 s
% 0.66/0.35 % (333834)Peak memory usage: 12 MB
% 0.66/0.35 % (333834)Instructions burned: 89 (million)
% 0.66/0.35 % (333816)...printing done.
% 0.66/0.35 % (333816)Refutation found. Thanks to Tanya!
% 0.66/0.35 % SZS status Theorem for theBenchmark
% 0.66/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.35 % (333816)------------------------------
% 0.66/0.35 % (333816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.35 % (333816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.35 % (333816)CaDiCaL version: 2.1.3
% 0.66/0.35 % (333816)Termination reason: Refutation
% 0.66/0.35 % (333816)Time elapsed: 0.073 s
% 0.66/0.35 % (333816)Peak memory usage: 13 MB
% 0.66/0.35 % (333816)Instructions burned: 84 (million)
% 0.66/0.35 % (333805)Success in time 0.122 s
% 0.66/0.35 % Vampire exiting
%------------------------------------------------------------------------------