%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET002^4 : 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 : n014.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 08:23:09 AM UTC 2026
% Result : Theorem 1.50s 0.49s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 106 ( 65 unt; 0 typ; 2 def)
% Number of atoms : 629 ( 115 equ; 0 cnn)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 960 ( 43 ~; 46 |; 13 &; 793 @)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 45 usr; 9 con; 0-4 aty)
% ( 41 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 222 ( 0 sgn 26 !; 0 ?; 222 :)
% 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,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_15,type,
equal_set: $i > $i > mworld > $o ).
thf(func_def_16,type,
member: $i > $i > mworld > $o ).
thf(func_def_17,type,
subset: $i > $i > mworld > $o ).
thf(func_def_18,type,
singleton: $i > $i ).
thf(func_def_19,type,
product: $i > $i ).
thf(func_def_20,type,
unordered_pair: $i > $i > $i ).
thf(func_def_21,type,
intersection: $i > $i > $i ).
thf(func_def_22,type,
difference: $i > $i > $i ).
thf(func_def_23,type,
sum: $i > $i ).
thf(func_def_24,type,
union: $i > $i > $i ).
thf(func_def_25,type,
power_set: $i > $i ).
thf(func_def_26,type,
vAND: $o > $o > $o ).
thf(func_def_27,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_31,type,
vNOT: $o > $o ).
thf(func_def_34,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_35,type,
vIMP: $o > $o > $o ).
thf(func_def_36,type,
vIFF: $o > $o > $o ).
thf(func_def_37,type,
vOR: $o > $o > $o ).
thf(func_def_38,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_39,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
sK1: mworld > mworld ).
thf(func_def_46,type,
sK5: $i > $i ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(f4,axiom,
( mor
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_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(f10,axiom,
( ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) )
= mforall_di ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f33,axiom,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mequiv @ ( subset @ X0 @ X1 )
@ ( mforall_di
@ ^ [X2: $i] : ( mimplies @ ( member @ X2 @ X0 ) @ ( member @ X2 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_0) ).
thf(f34,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(f37,axiom,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mforall_di
@ ^ [X2: $i] : ( mequiv @ ( member @ X0 @ ( union @ X1 @ X2 ) ) @ ( mor @ ( member @ X0 @ X1 ) @ ( member @ X0 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_0) ).
thf(f44,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( equal_set @ ( union @ X0 @ X0 ) @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI14) ).
thf(f45,negated_conjecture,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( equal_set @ ( union @ X0 @ X0 ) @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
thf(f46,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f47,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f46]) ).
thf(f48,plain,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( equal_set @ ( union @ X0 @ X0 ) @ X0 ) ) ),
inference(rectify,[],[f45]) ).
thf(f49,plain,
( $true
= ( ~ ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f50,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f51,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mforall_di
@ ^ [X2: $i] : ( mequiv @ ( member @ X0 @ ( union @ X1 @ X2 ) ) @ ( mor @ ( member @ X0 @ X1 ) @ ( member @ X0 @ X2 ) ) ) ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f52,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mequiv @ ( member @ Y0 @ ( union @ Y1 @ Y2 ) ) @ ( mor @ ( member @ Y0 @ Y1 ) @ ( member @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f61,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mequiv @ ( subset @ X0 @ X1 )
@ ( mforall_di
@ ^ [X2: $i] : ( mimplies @ ( member @ X2 @ X0 ) @ ( member @ X2 @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f33]) ).
thf(f62,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mequiv @ ( subset @ Y0 @ Y1 )
@ ( mforall_di
@ ^ [Y2: $i] : ( mimplies @ ( member @ Y2 @ Y0 ) @ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f61]) ).
thf(f67,plain,
( ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) )
= mforall_di ),
inference(rectify,[],[f10]) ).
thf(f68,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f67]) ).
thf(f71,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
<=> ( X0 @ X2 ) ) )
= mequiv ),
inference(rectify,[],[f6]) ).
thf(f72,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f71]) ).
thf(f73,plain,
( mor
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f74,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f73]) ).
thf(f113,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mequiv @ ( equal_set @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f34]) ).
thf(f114,plain,
( ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mequiv @ ( equal_set @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f113]) ).
thf(f119,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f120,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f119]) ).
thf(f137,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f72]) ).
thf(f145,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mequiv @ ( subset @ Y0 @ Y1 )
@ ( mforall_di
@ ^ [Y2: $i] : ( mimplies @ ( member @ Y2 @ Y0 ) @ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f148,plain,
( ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( mequiv @ ( equal_set @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f114]) ).
thf(f149,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f74]) ).
thf(f150,plain,
( $true
= ( ~ ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f153,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f155,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f120]) ).
thf(f164,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f47]) ).
thf(f165,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mequiv @ ( member @ Y0 @ ( union @ Y1 @ Y2 ) ) @ ( mor @ ( member @ Y0 @ Y1 ) @ ( member @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f174,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f190,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y3 @ Y4 )
= ( Y2 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( !! @ $i
@ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: $i] :
( ^ [Y3: mworld > $o,Y4: mworld > $o,Y5: mworld] :
( ( Y3 @ Y5 )
=> ( Y4 @ Y5 ) )
@ ( member @ Y2 @ Y0 )
@ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f145,f174,f153,f153,f137,f153,f155]) ).
thf(f192,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] : ( 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] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f148,f174,f153,f153,f137,f164]) ).
thf(f193,plain,
( $true
= ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f150,f174,f153]) ).
thf(f202,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( !! @ $i
@ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: $i] :
( ^ [Y3: mworld > $o,Y4: mworld > $o,Y5: mworld] :
( ( Y4 @ Y5 )
= ( Y3 @ Y5 ) )
@ ( member @ Y0 @ ( union @ Y1 @ Y2 ) )
@ ( ^ [Y3: mworld > $o,Y4: mworld > $o,Y5: mworld] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( member @ Y0 @ Y1 )
@ ( member @ Y0 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f165,f174,f153,f153,f153,f137,f149]) ).
thf(f214,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( subset @ Y1 @ Y0 @ mactual )
& ( subset @ Y0 @ Y1 @ mactual ) )
= ( equal_set @ Y0 @ Y1 @ mactual ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f224,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 @ mactual )
=> ( member @ Y2 @ Y1 @ mactual ) ) )
= ( subset @ Y0 @ Y1 @ mactual ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f190]) ).
thf(f226,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( member @ Y0 @ Y2 @ mactual )
| ( member @ Y0 @ Y1 @ mactual ) )
= ( member @ Y0 @ ( union @ Y1 @ Y2 ) @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f244,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f193]) ).
thf(f246,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 @ mactual ) ) ),
inference(not_proxy_clausification,[],[f244]) ).
thf(f247,plain,
( $false
= ( ^ [Y0: $i] : ( equal_set @ ( union @ Y0 @ Y0 ) @ Y0 @ mactual )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f246]) ).
thf(f248,plain,
( ( equal_set @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual )
= $false ),
inference(beta-eta_normalization,[],[f247]) ).
thf(f392,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( subset @ Y1 @ Y0 @ mactual )
& ( subset @ Y0 @ Y1 @ mactual ) )
= ( equal_set @ Y0 @ Y1 @ mactual ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f214]) ).
thf(f393,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( subset @ Y0 @ X1 @ mactual )
& ( subset @ X1 @ Y0 @ mactual ) )
= ( equal_set @ X1 @ Y0 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f392]) ).
thf(f394,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( subset @ Y0 @ X1 @ mactual )
& ( subset @ X1 @ Y0 @ mactual ) )
= ( equal_set @ X1 @ Y0 @ mactual ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f393]) ).
thf(f395,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( subset @ X2 @ X1 @ mactual )
& ( subset @ X1 @ X2 @ mactual ) )
= ( equal_set @ X1 @ X2 @ mactual ) ) ),
inference(beta-eta_normalization,[],[f394]) ).
thf(f402,plain,
( $true
= ( ( ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual )
& ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual ) )
= $false ) ),
inference(superposition,[],[f395,f248]) ).
thf(f407,plain,
( $true
= ( ~ ( ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual )
& ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual ) ) ) ),
inference(boolean_simplification,[],[f402]) ).
thf(f412,plain,
( $false
= ( ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual )
& ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual ) ) ),
inference(not_proxy_clausification,[],[f407]) ).
thf(f416,plain,
( ( $false
= ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual ) )
| ( ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual )
= $false ) ),
inference(and_proxy_clausification,[],[f412]) ).
thf(f418,definition,
( spl2_1
<=> ( $false
= ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f420,plain,
( ( $false
= ( subset @ sK0 @ ( union @ sK0 @ sK0 ) @ mactual ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f418]) ).
thf(f422,definition,
( spl2_2
<=> ( ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f424,plain,
( ( ( subset @ ( union @ sK0 @ sK0 ) @ sK0 @ mactual )
= $false )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f422]) ).
thf(f425,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f416,f422,f418]) ).
thf(f960,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 @ mactual )
=> ( member @ Y2 @ Y1 @ mactual ) ) )
= ( subset @ Y0 @ Y1 @ mactual ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f224]) ).
thf(f961,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( member @ Y1 @ X1 @ mactual )
=> ( member @ Y1 @ Y0 @ mactual ) ) )
= ( subset @ X1 @ Y0 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f960]) ).
thf(f998,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( member @ Y1 @ X1 @ mactual )
=> ( member @ Y1 @ Y0 @ mactual ) ) )
= ( subset @ X1 @ Y0 @ mactual ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f961]) ).
thf(f999,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ X1 @ mactual )
=> ( member @ Y0 @ X2 @ mactual ) ) )
= ( subset @ X1 @ X2 @ mactual ) ) ),
inference(beta-eta_normalization,[],[f998]) ).
thf(f1007,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual )
=> ( member @ Y0 @ sK0 @ mactual ) ) )
= $false )
= $true )
| ~ spl2_2 ),
inference(superposition,[],[f999,f424]) ).
thf(f1018,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual )
=> ( member @ Y0 @ sK0 @ mactual ) ) ) )
= $true )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f1007]) ).
thf(f1023,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual )
=> ( member @ Y0 @ sK0 @ mactual ) ) ) )
| ~ spl2_2 ),
inference(not_proxy_clausification,[],[f1018]) ).
thf(f1025,plain,
( ( ( ^ [Y0: $i] :
( ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual )
=> ( member @ Y0 @ sK0 @ mactual ) )
@ sK3 )
= $false )
| ~ spl2_2 ),
inference(sigma_proxy_clausification,[],[f1023]) ).
thf(f1028,plain,
( ( $false
= ( ( member @ sK3 @ ( union @ sK0 @ sK0 ) @ mactual )
=> ( member @ sK3 @ sK0 @ mactual ) ) )
| ~ spl2_2 ),
inference(beta-eta_normalization,[],[f1025]) ).
thf(f1029,plain,
( ( $false
= ( member @ sK3 @ sK0 @ mactual ) )
| ~ spl2_2 ),
inference(imp_proxy_clausification,[],[f1028]) ).
thf(f1030,plain,
( ( ( member @ sK3 @ ( union @ sK0 @ sK0 ) @ mactual )
= $true )
| ~ spl2_2 ),
inference(imp_proxy_clausification,[],[f1028]) ).
thf(f2041,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( member @ Y0 @ Y2 @ mactual )
| ( member @ Y0 @ Y1 @ mactual ) )
= ( member @ Y0 @ ( union @ Y1 @ Y2 ) @ mactual ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f226]) ).
thf(f2042,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( member @ X1 @ Y1 @ mactual )
| ( member @ X1 @ Y0 @ mactual ) )
= ( member @ X1 @ ( union @ Y0 @ Y1 ) @ mactual ) ) ) ) ),
inference(beta-eta_normalization,[],[f2041]) ).
thf(f2066,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( member @ X1 @ Y1 @ mactual )
| ( member @ X1 @ Y0 @ mactual ) )
= ( member @ X1 @ ( union @ Y0 @ Y1 ) @ mactual ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2042]) ).
thf(f2067,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( member @ X1 @ Y0 @ mactual )
| ( member @ X1 @ X2 @ mactual ) )
= ( member @ X1 @ ( union @ X2 @ Y0 ) @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f2066]) ).
thf(f2101,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( member @ X1 @ Y0 @ mactual )
| ( member @ X1 @ X2 @ mactual ) )
= ( member @ X1 @ ( union @ X2 @ Y0 ) @ mactual ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f2067]) ).
thf(f2102,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( member @ X1 @ X3 @ mactual )
| ( member @ X1 @ X2 @ mactual ) )
= ( member @ X1 @ ( union @ X2 @ X3 ) @ mactual ) )
= $true ),
inference(beta-eta_normalization,[],[f2101]) ).
thf(f2126,plain,
( ( $true
= ( ( ( member @ sK3 @ sK0 @ mactual )
| ( member @ sK3 @ sK0 @ mactual ) )
= $true ) )
| ~ spl2_2 ),
inference(superposition,[],[f2102,f1030]) ).
thf(f2304,plain,
( ( ( ( member @ sK3 @ sK0 @ mactual )
| ( member @ sK3 @ sK0 @ mactual ) )
= $true )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f2126]) ).
thf(f2305,plain,
( ( $true
= ( member @ sK3 @ sK0 @ mactual ) )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f2304]) ).
thf(f2337,plain,
( ( $true = $false )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f2305,f1029]) ).
thf(f2338,plain,
( $false
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f2337]) ).
thf(f2339,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f2338]) ).
thf(f2357,plain,
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ sK0 @ mactual )
=> ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual ) ) )
= $false ) )
| ~ spl2_1 ),
inference(superposition,[],[f999,f420]) ).
thf(f2371,plain,
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ sK0 @ mactual )
=> ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual ) ) ) ) )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f2357]) ).
thf(f2377,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ sK0 @ mactual )
=> ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual ) ) )
= $false )
| ~ spl2_1 ),
inference(not_proxy_clausification,[],[f2371]) ).
thf(f2753,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( member @ Y0 @ sK0 @ mactual )
=> ( member @ Y0 @ ( union @ sK0 @ sK0 ) @ mactual ) )
@ sK6 ) )
| ~ spl2_1 ),
inference(sigma_proxy_clausification,[],[f2377]) ).
thf(f2755,plain,
( ( $false
= ( ( member @ sK6 @ sK0 @ mactual )
=> ( member @ sK6 @ ( union @ sK0 @ sK0 ) @ mactual ) ) )
| ~ spl2_1 ),
inference(beta-eta_normalization,[],[f2753]) ).
thf(f2757,plain,
( ( $false
= ( member @ sK6 @ ( union @ sK0 @ sK0 ) @ mactual ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f2755]) ).
thf(f2758,plain,
( ( $true
= ( member @ sK6 @ sK0 @ mactual ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f2755]) ).
thf(f2985,plain,
( ( $true
= ( ( ( member @ sK6 @ sK0 @ mactual )
| ( member @ sK6 @ sK0 @ mactual ) )
= $false ) )
| ~ spl2_1 ),
inference(superposition,[],[f2102,f2757]) ).
thf(f3000,plain,
( ( $true
= ( ~ ( ( member @ sK6 @ sK0 @ mactual )
| ( member @ sK6 @ sK0 @ mactual ) ) ) )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f2985]) ).
thf(f3001,plain,
( ( $true
= ( ~ ( member @ sK6 @ sK0 @ mactual ) ) )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f3000]) ).
thf(f3013,plain,
( ( ( ~ $true ) = $true )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f3001,f2758]) ).
thf(f3014,plain,
( ( $true = $false )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f3013]) ).
thf(f3015,plain,
( $false
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f3014]) ).
thf(f3016,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f3015]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f425]) ).
cnf(s4,plain,
~ spl2_2,
inference(sat_conversion,[],[f2339]) ).
cnf(s5,plain,
~ spl2_1,
inference(sat_conversion,[],[f3016]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
thf(f3018,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET002^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:35:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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
% 0.20/0.35 % (2656490)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.35 % (2656500)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=549153999:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.35 % (2656501)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.35 % (2656501)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
% 0.20/0.35 % (2656495)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1313667800:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.35 % (2656498)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=762469845: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)
% 0.20/0.35 % (2656496)lrs+10_16_si=on:nwc=1.5:random_seed=654754276:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.35 % (2656497)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1908802539:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.35 % (2656501)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=2191100531:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.35 % (2656499)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1477869607:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.35 % (2656497)Instruction limit reached!
% 0.20/0.35 % (2656497)------------------------------
% 0.20/0.35 % (2656497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (2656497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (2656497)CaDiCaL version: 2.1.3
% 0.20/0.35 % (2656497)Termination reason: Instruction limit
% 0.20/0.35 % (2656497)Termination phase: shuffling
% 0.20/0.35 % (2656497)Time elapsed: 0.002 s
% 0.20/0.35 % (2656497)Peak memory usage: 9 MB
% 0.20/0.35 % (2656497)Instructions burned: 4 (million)
% 0.20/0.35 % (2656496)Instruction limit reached!
% 0.20/0.35 % (2656496)------------------------------
% 0.20/0.35 % (2656496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (2656496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (2656496)CaDiCaL version: 2.1.3
% 0.20/0.35 % (2656496)Termination reason: Instruction limit
% 0.20/0.35 % (2656496)Termination phase: Property scanning
% 0.20/0.35 % (2656496)Time elapsed: 0.007 s
% 0.20/0.35 % (2656496)Peak memory usage: 10 MB
% 0.20/0.35 % (2656496)Instructions burned: 18 (million)
% 0.20/0.35 % (2656500)Instruction limit reached!
% 0.20/0.35 % (2656500)------------------------------
% 0.20/0.35 % (2656500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (2656500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (2656500)CaDiCaL version: 2.1.3
% 0.20/0.35 % (2656500)Termination reason: Instruction limit
% 0.20/0.35 % (2656500)Termination phase: Saturation
% 0.20/0.35 % (2656500)Time elapsed: 0.018 s
% 0.20/0.35 % (2656500)Peak memory usage: 12 MB
% 0.20/0.35 % (2656500)Instructions burned: 75 (million)
% 0.20/0.35 % (2656499)Instruction limit reached!
% 0.20/0.35 % (2656499)------------------------------
% 0.20/0.35 % (2656499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (2656499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (2656499)CaDiCaL version: 2.1.3
% 0.20/0.35 % (2656499)Termination reason: Instruction limit
% 0.20/0.35 % (2656499)Termination phase: Saturation
% 0.20/0.35 % (2656499)Time elapsed: 0.013 s
% 0.20/0.35 % (2656499)Peak memory usage: 12 MB
% 0.20/0.35 % (2656499)Instructions burned: 24 (million)
% 0.20/0.35 % (2656511)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.35 % (2656509)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=761198217:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.37 % (2656511)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3638300560:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.37 % (2656509)Instruction limit reached!
% 0.82/0.37 % (2656509)------------------------------
% 0.82/0.37 % (2656509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37 % (2656509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37 % (2656509)CaDiCaL version: 2.1.3
% 0.82/0.37 % (2656509)Termination reason: Instruction limit
% 0.82/0.37 % (2656509)Termination phase: shuffling
% 0.82/0.37 % (2656509)Time elapsed: 0.001 s
% 0.82/0.37 % (2656509)Peak memory usage: 9 MB
% 0.82/0.37 % (2656509)Instructions burned: 2 (million)
% 0.82/0.37 % (2656511)Instruction limit reached!
% 0.82/0.37 % (2656511)------------------------------
% 0.82/0.37 % (2656511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37 % (2656511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37 % (2656511)CaDiCaL version: 2.1.3
% 0.82/0.37 % (2656511)Termination reason: Instruction limit
% 0.82/0.37 % (2656511)Termination phase: Function definition elimination
% 0.82/0.37 % (2656511)Time elapsed: 0.002 s
% 0.82/0.37 % (2656511)Peak memory usage: 10 MB
% 0.82/0.37 % (2656511)Instructions burned: 10 (million)
% 0.82/0.37 % (2656510)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=687498031:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.37 % (2656510)Instruction limit reached!
% 0.82/0.37 % (2656510)------------------------------
% 0.82/0.37 % (2656510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37 % (2656510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37 % (2656510)CaDiCaL version: 2.1.3
% 0.82/0.37 % (2656510)Termination reason: Instruction limit
% 0.82/0.37 % (2656510)Termination phase: Property scanning
% 0.82/0.37 % (2656510)Time elapsed: 0.003 s
% 0.82/0.37 % (2656510)Peak memory usage: 10 MB
% 0.82/0.37 % (2656510)Instructions burned: 7 (million)
% 0.82/0.37 % (2656512)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2815685117:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.37 % (2656516)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=3734253363:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.37 % (2656515)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
% 0.82/0.37 % (2656515)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.37 % (2656512)Instruction limit reached!
% 0.82/0.37 % (2656512)------------------------------
% 0.82/0.37 % (2656512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37 % (2656512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37 % (2656512)CaDiCaL version: 2.1.3
% 0.82/0.37 % (2656512)Termination reason: Instruction limit
% 0.82/0.37 % (2656512)Termination phase: Property scanning
% 0.82/0.37 % (2656512)Time elapsed: 0.005 s
% 0.82/0.37 % (2656512)Peak memory usage: 10 MB
% 0.82/0.37 % (2656512)Instructions burned: 12 (million)
% 0.82/0.37 % (2656495)Instruction limit reached!
% 0.82/0.37 % (2656495)------------------------------
% 0.82/0.37 % (2656495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37 % (2656495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37 % (2656495)CaDiCaL version: 2.1.3
% 0.82/0.37 % (2656495)Termination reason: Instruction limit
% 0.82/0.37 % (2656495)Termination phase: Saturation
% 0.82/0.37 % (2656495)Time elapsed: 0.041 s
% 0.82/0.37 % (2656495)Peak memory usage: 13 MB
% 0.82/0.37 % (2656495)Instructions burned: 87 (million)
% 0.82/0.37 % (2656515)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=803857538:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.37 % (2656518)lrs+10_1_si=on:cs=on:random_seed=3149857353:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.40 % (2656521)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.40 % (2656518)Instruction limit reached!
% 0.82/0.40 % (2656518)------------------------------
% 0.82/0.40 % (2656518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656518)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656518)Termination reason: Instruction limit
% 0.82/0.40 % (2656518)Termination phase: Property scanning
% 0.82/0.40 % (2656518)Time elapsed: 0.004 s
% 0.82/0.40 % (2656518)Peak memory usage: 10 MB
% 0.82/0.40 % (2656518)Instructions burned: 9 (million)
% 0.82/0.40 % (2656521)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2110321448:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.40 % (2656515)Instruction limit reached!
% 0.82/0.40 % (2656515)------------------------------
% 0.82/0.40 % (2656515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656515)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656515)Termination reason: Instruction limit
% 0.82/0.40 % (2656515)Termination phase: Saturation
% 0.82/0.40 % (2656515)Time elapsed: 0.016 s
% 0.82/0.40 % (2656515)Peak memory usage: 11 MB
% 0.82/0.40 % (2656515)Instructions burned: 31 (million)
% 0.82/0.40 % (2656516)Instruction limit reached!
% 0.82/0.40 % (2656516)------------------------------
% 0.82/0.40 % (2656516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656516)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656516)Termination reason: Instruction limit
% 0.82/0.40 % (2656516)Termination phase: Saturation
% 0.82/0.40 % (2656516)Time elapsed: 0.023 s
% 0.82/0.40 % (2656516)Peak memory usage: 12 MB
% 0.82/0.40 % (2656516)Instructions burned: 88 (million)
% 0.82/0.40 % (2656521)Instruction limit reached!
% 0.82/0.40 % (2656521)------------------------------
% 0.82/0.40 % (2656521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656521)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656521)Termination reason: Instruction limit
% 0.82/0.40 % (2656521)Termination phase: shuffling
% 0.82/0.40 % (2656521)Time elapsed: 0.001 s
% 0.82/0.40 % (2656521)Peak memory usage: 9 MB
% 0.82/0.40 % (2656521)Instructions burned: 3 (million)
% 0.82/0.40 % (2656523)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4273435325:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.40 % (2656523)Refutation not found, incomplete strategy
% 0.82/0.40 % (2656523)------------------------------
% 0.82/0.40 % (2656523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656523)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656523)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.40 % (2656523)Time elapsed: 0.007 s
% 0.82/0.40 % (2656523)Peak memory usage: 12 MB
% 0.82/0.40 % (2656523)Instructions burned: 15 (million)
% 0.82/0.40 % (2656527)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1937551416:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.40 % (2656523)------------------------------
% 0.82/0.40 % (2656523)------------------------------
% 0.82/0.40 % (2656525)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=174817330:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.40 % (2656527)Refutation not found, incomplete strategy
% 0.82/0.40 % (2656527)------------------------------
% 0.82/0.40 % (2656527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (2656527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (2656527)CaDiCaL version: 2.1.3
% 0.82/0.40 % (2656527)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.40 % (2656527)Time elapsed: 0.004 s
% 0.82/0.40 % (2656527)Peak memory usage: 12 MB
% 0.82/0.40 % (2656527)Instructions burned: 16 (million)
% 0.82/0.44 % (2656527)------------------------------
% 0.82/0.44 % (2656527)------------------------------
% 0.82/0.44 % (2656501)Instruction limit reached!
% 0.82/0.44 % (2656501)------------------------------
% 0.82/0.44 % (2656501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2656501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2656501)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2656501)Termination reason: Instruction limit
% 0.82/0.44 % (2656501)Termination phase: Saturation
% 0.82/0.44 % (2656501)Time elapsed: 0.076 s
% 0.82/0.44 % (2656501)Peak memory usage: 13 MB
% 0.82/0.44 % (2656501)Instructions burned: 159 (million)
% 0.82/0.44 % (2656528)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2292527917:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.82/0.44 % (2656525)Refutation not found, incomplete strategy
% 0.82/0.44 % (2656525)------------------------------
% 0.82/0.44 % (2656525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2656525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2656525)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2656525)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.44 % (2656525)Time elapsed: 0.006 s
% 0.82/0.44 % (2656525)Peak memory usage: 12 MB
% 0.82/0.44 % (2656525)Instructions burned: 12 (million)
% 0.82/0.44 % (2656525)------------------------------
% 0.82/0.44 % (2656525)------------------------------
% 0.82/0.44 % (2656530)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1365172456:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.82/0.44 % (2656534)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2466850504:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.44 % (2656528)Instruction limit reached!
% 0.82/0.44 % (2656528)------------------------------
% 0.82/0.44 % (2656528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2656528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2656528)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2656528)Termination reason: Instruction limit
% 0.82/0.44 % (2656528)Termination phase: Property scanning
% 0.82/0.44 % (2656528)Time elapsed: 0.006 s
% 0.82/0.44 % (2656528)Peak memory usage: 11 MB
% 0.82/0.44 % (2656528)Instructions burned: 15 (million)
% 0.82/0.44 % (2656534)Instruction limit reached!
% 0.82/0.44 % (2656534)------------------------------
% 0.82/0.44 % (2656534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2656534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2656534)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2656534)Termination reason: Instruction limit
% 0.82/0.44 % (2656534)Termination phase: shuffling
% 0.82/0.44 % (2656534)Time elapsed: 0.001 s
% 0.82/0.44 % (2656534)Peak memory usage: 9 MB
% 0.82/0.44 % (2656534)Instructions burned: 4 (million)
% 0.82/0.44 % (2656532)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=158530768:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.44 % (2656530)Refutation not found, incomplete strategy
% 0.82/0.44 % (2656530)------------------------------
% 0.82/0.44 % (2656530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2656530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2656530)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2656530)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.44 % (2656530)Time elapsed: 0.011 s
% 0.82/0.44 % (2656530)Peak memory usage: 12 MB
% 0.82/0.44 % (2656530)Instructions burned: 22 (million)
% 0.82/0.44 % (2656541)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.82/0.44 % (2656541)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.82/0.44 % (2656530)------------------------------
% 0.82/0.44 % (2656530)------------------------------
% 0.82/0.44 % (2656532)Instruction limit reached!
% 0.82/0.44 % (2656532)------------------------------
% 0.82/0.44 % (2656532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (2656532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (2656532)CaDiCaL version: 2.1.3
% 1.50/0.47 % (2656532)Termination reason: Instruction limit
% 1.50/0.47 % (2656532)Termination phase: Property scanning
% 1.50/0.47 % (2656532)Time elapsed: 0.006 s
% 1.50/0.47 % (2656532)Peak memory usage: 10 MB
% 1.50/0.47 % (2656532)Instructions burned: 15 (million)
% 1.50/0.47 % (2656535)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=860198753:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.50/0.47 % (2656541)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2859057213:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.47 % (2656537)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2155593874:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.47 % (2656541)Instruction limit reached!
% 1.50/0.47 % (2656541)------------------------------
% 1.50/0.47 % (2656541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (2656541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (2656541)CaDiCaL version: 2.1.3
% 1.50/0.47 % (2656541)Termination reason: Instruction limit
% 1.50/0.47 % (2656541)Termination phase: Property scanning
% 1.50/0.47 % (2656541)Time elapsed: 0.004 s
% 1.50/0.47 % (2656541)Peak memory usage: 10 MB
% 1.50/0.47 % (2656541)Instructions burned: 19 (million)
% 1.50/0.47 % (2656540)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=894153026:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.50/0.47 % (2656535)Instruction limit reached!
% 1.50/0.47 % (2656535)------------------------------
% 1.50/0.47 % (2656535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (2656535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (2656535)CaDiCaL version: 2.1.3
% 1.50/0.47 % (2656535)Termination reason: Instruction limit
% 1.50/0.47 % (2656535)Termination phase: Saturation
% 1.50/0.47 % (2656535)Time elapsed: 0.011 s
% 1.50/0.47 % (2656535)Peak memory usage: 11 MB
% 1.50/0.47 % (2656535)Instructions burned: 28 (million)
% 1.50/0.47 % (2656537)Instruction limit reached!
% 1.50/0.47 % (2656537)------------------------------
% 1.50/0.47 % (2656537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (2656537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (2656537)CaDiCaL version: 2.1.3
% 1.50/0.47 % (2656537)Termination reason: Instruction limit
% 1.50/0.47 % (2656537)Termination phase: Saturation
% 1.50/0.47 % (2656543)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.50/0.47 % (2656537)Time elapsed: 0.010 s
% 1.50/0.47 % (2656537)Peak memory usage: 11 MB
% 1.50/0.47 % (2656537)Instructions burned: 25 (million)
% 1.50/0.47 % (2656548)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3782319310:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.47 % (2656548)Instruction limit reached!
% 1.50/0.47 % (2656548)------------------------------
% 1.50/0.47 % (2656548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (2656548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (2656548)CaDiCaL version: 2.1.3
% 1.50/0.47 % (2656548)Termination reason: Instruction limit
% 1.50/0.47 % (2656548)Termination phase: Property scanning
% 1.50/0.47 % (2656548)Time elapsed: 0.002 s
% 1.50/0.47 % (2656548)Peak memory usage: 10 MB
% 1.50/0.47 % (2656548)Instructions burned: 9 (million)
% 1.50/0.47 % (2656543)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2059677618:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.50/0.47 % (2656544)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2522352354:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.50/0.47 % (2656543)Instruction limit reached!
% 1.50/0.47 % (2656543)------------------------------
% 1.50/0.47 % (2656543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656543)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656543)Termination reason: Instruction limit
% 1.50/0.49 % (2656543)Termination phase: SInE selection
% 1.50/0.49 % (2656543)Time elapsed: 0.004 s
% 1.50/0.49 % (2656543)Peak memory usage: 10 MB
% 1.50/0.49 % (2656543)Instructions burned: 10 (million)
% 1.50/0.49 % (2656553)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3081068842:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.50/0.49 % (2656550)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2711989595:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.49 % (2656552)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3257873104:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.50/0.49 % (2656544)Instruction limit reached!
% 1.50/0.49 % (2656544)------------------------------
% 1.50/0.49 % (2656544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656544)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656544)Termination reason: Instruction limit
% 1.50/0.49 % (2656544)Termination phase: Saturation
% 1.50/0.49 % (2656544)Time elapsed: 0.016 s
% 1.50/0.49 % (2656544)Peak memory usage: 12 MB
% 1.50/0.49 % (2656544)Instructions burned: 31 (million)
% 1.50/0.49 % (2656540)Instruction limit reached!
% 1.50/0.49 % (2656540)------------------------------
% 1.50/0.49 % (2656540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656540)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656540)Termination reason: Instruction limit
% 1.50/0.49 % (2656540)Termination phase: Saturation
% 1.50/0.49 % (2656540)Time elapsed: 0.032 s
% 1.50/0.49 % (2656540)Peak memory usage: 12 MB
% 1.50/0.49 % (2656540)Instructions burned: 60 (million)
% 1.50/0.49 % (2656550)Instruction limit reached!
% 1.50/0.49 % (2656550)------------------------------
% 1.50/0.49 % (2656550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656550)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656550)Termination reason: Instruction limit
% 1.50/0.49 % (2656550)Termination phase: Saturation
% 1.50/0.49 % (2656550)Time elapsed: 0.010 s
% 1.50/0.49 % (2656550)Peak memory usage: 12 MB
% 1.50/0.49 % (2656550)Instructions burned: 23 (million)
% 1.50/0.49 % (2656556)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=849884165:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.50/0.49 % (2656552)Instruction limit reached!
% 1.50/0.49 % (2656552)------------------------------
% 1.50/0.49 % (2656552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656552)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656552)Termination reason: Instruction limit
% 1.50/0.49 % (2656552)Termination phase: Saturation
% 1.50/0.49 % (2656552)Time elapsed: 0.010 s
% 1.50/0.49 % (2656552)Peak memory usage: 12 MB
% 1.50/0.49 % (2656552)Instructions burned: 22 (million)
% 1.50/0.49 % (2656560)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3927548375:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.50/0.49 % (2656563)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.49 % (2656562)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3646851948:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.50/0.49 % (2656563)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2012452312:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.49 % (2656564)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1496408219:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.50/0.49 % (2656563)Instruction limit reached!
% 1.50/0.49 % (2656563)------------------------------
% 1.50/0.49 % (2656563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656563)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656563)Termination reason: Instruction limit
% 1.50/0.49 % (2656563)Termination phase: shuffling
% 1.50/0.49 % (2656563)Time elapsed: 0.003 s
% 1.50/0.49 % (2656563)Peak memory usage: 10 MB
% 1.50/0.49 % (2656563)Instructions burned: 7 (million)
% 1.50/0.49 % (2656560)Refutation not found, incomplete strategy
% 1.50/0.49 % (2656560)------------------------------
% 1.50/0.49 % (2656560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656560)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656560)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.49 % (2656560)Time elapsed: 0.010 s
% 1.50/0.49 % (2656560)Peak memory usage: 12 MB
% 1.50/0.49 % (2656560)Instructions burned: 18 (million)
% 1.50/0.49 % (2656560)------------------------------
% 1.50/0.49 % (2656560)------------------------------
% 1.50/0.49 % (2656564)Refutation not found, incomplete strategy
% 1.50/0.49 % (2656564)------------------------------
% 1.50/0.49 % (2656564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656564)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656564)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.49 % (2656564)Time elapsed: 0.013 s
% 1.50/0.49 % (2656564)Peak memory usage: 12 MB
% 1.50/0.49 % (2656564)Instructions burned: 26 (million)
% 1.50/0.49 % (2656564)------------------------------
% 1.50/0.49 % (2656564)------------------------------
% 1.50/0.49 % (2656562)Instruction limit reached!
% 1.50/0.49 % (2656562)------------------------------
% 1.50/0.49 % (2656562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656562)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656562)Termination reason: Instruction limit
% 1.50/0.49 % (2656562)Termination phase: Saturation
% 1.50/0.49 % (2656562)Time elapsed: 0.019 s
% 1.50/0.49 % (2656562)Peak memory usage: 12 MB
% 1.50/0.49 % (2656562)Instructions burned: 44 (million)
% 1.50/0.49 % (2656570)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.50/0.49 % (2656569)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1506003231:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.50/0.49 % (2656570)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2867053413:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.50/0.49 % (2656570)Instruction limit reached!
% 1.50/0.49 % (2656570)------------------------------
% 1.50/0.49 % (2656570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656570)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656570)Termination reason: Instruction limit
% 1.50/0.49 % (2656570)Termination phase: SInE selection
% 1.50/0.49 % (2656570)Time elapsed: 0.003 s
% 1.50/0.49 % (2656570)Peak memory usage: 10 MB
% 1.50/0.49 % (2656570)Instructions burned: 7 (million)
% 1.50/0.49 % (2656569)Refutation not found, incomplete strategy
% 1.50/0.49 % (2656569)------------------------------
% 1.50/0.49 % (2656569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656569)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656569)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.49 % (2656569)Time elapsed: 0.008 s
% 1.50/0.49 % (2656569)Peak memory usage: 12 MB
% 1.50/0.49 % (2656569)Instructions burned: 18 (million)
% 1.50/0.49 % (2656569)------------------------------
% 1.50/0.49 % (2656569)------------------------------
% 1.50/0.49 % (2656571)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2878402108:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.50/0.49 % (2656572)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2094687531:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.50/0.49 % (2656571)Instruction limit reached!
% 1.50/0.49 % (2656571)------------------------------
% 1.50/0.49 % (2656571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656571)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656571)Termination reason: Instruction limit
% 1.50/0.49 % (2656571)Termination phase: Saturation
% 1.50/0.49 % (2656571)Time elapsed: 0.010 s
% 1.50/0.49 % (2656571)Peak memory usage: 12 MB
% 1.50/0.49 % (2656571)Instructions burned: 24 (million)
% 1.50/0.49 % (2656572)Instruction limit reached!
% 1.50/0.49 % (2656572)------------------------------
% 1.50/0.49 % (2656572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656575)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1046458673:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.50/0.49 % (2656572)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656572)Termination reason: Instruction limit
% 1.50/0.49 % (2656572)Termination phase: Saturation
% 1.50/0.49 % (2656572)Time elapsed: 0.008 s
% 1.50/0.49 % (2656572)Peak memory usage: 11 MB
% 1.50/0.49 % (2656572)Instructions burned: 20 (million)
% 1.50/0.49 % (2656553) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2656490-2656553"...
% 1.50/0.49 % (2656556)Instruction limit reached!
% 1.50/0.49 % (2656556)------------------------------
% 1.50/0.49 % (2656556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656556)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656556)Termination reason: Instruction limit
% 1.50/0.49 % (2656556)Termination phase: Saturation
% 1.50/0.49 % (2656556)Time elapsed: 0.068 s
% 1.50/0.49 % (2656556)Peak memory usage: 13 MB
% 1.50/0.49 % (2656556)Instructions burned: 144 (million)
% 1.50/0.49 % (2656553)...printing done.
% 1.50/0.49 % (2656576)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2482234397:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.50/0.49 % (2656553)Refutation found. Thanks to Tanya!
% 1.50/0.49 % SZS status Theorem for theBenchmark
% 1.50/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.49 % (2656553)------------------------------
% 1.50/0.49 % (2656553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (2656553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (2656553)CaDiCaL version: 2.1.3
% 1.50/0.49 % (2656553)Termination reason: Refutation
% 1.50/0.49 % (2656553)Time elapsed: 0.082 s
% 1.50/0.49 % (2656553)Peak memory usage: 15 MB
% 1.50/0.49 % (2656553)Instructions burned: 300 (million)
% 1.50/0.49 % (2656490)Success in time 0.245 s
% 1.50/0.49 % Vampire exiting
%------------------------------------------------------------------------------