%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET004^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 3.26s 0.94s
% Output : Refutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 169 ( 76 unt; 0 typ; 6 def)
% Number of atoms : 1102 ( 180 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 1610 ( 93 ~; 96 |; 42 &;1283 @)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 85 ( 85 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 50 usr; 14 con; 0-4 aty)
% ( 60 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 308 ( 0 sgn 56 !; 0 ?; 308 :)
% 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,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_32,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_33,type,
vIMP: $o > $o > $o ).
thf(func_def_34,type,
vAND: $o > $o > $o ).
thf(func_def_35,type,
vIFF: $o > $o > $o ).
thf(func_def_36,type,
vOR: $o > $o > $o ).
thf(func_def_37,type,
vNOT: $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_46,type,
sK5: $i > $i ).
thf(func_def_47,type,
sK6: $i > $i ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f6,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) ) )
= mequiv ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
thf(f11,axiom,
( ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) )
= mforall_di ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f13,axiom,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( qmltpeq @ X0 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(f28,axiom,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mforall_di
@ ^ [X2: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X0 @ X1 ) @ ( equal_set @ X0 @ X2 ) ) @ ( equal_set @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set_substitution_1) ).
thf(f34,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/sandbox/benchmark/theBenchmark.p',subset_0) ).
thf(f35,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/sandbox/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 @ ( intersection @ X1 @ X2 ) ) @ ( mand @ ( member @ X0 @ X1 ) @ ( member @ X0 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_0) ).
thf(f45,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( equal_set @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI06) ).
thf(f46,negated_conjecture,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( equal_set @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f49,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,[],[f34]) ).
thf(f50,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,[],[f49]) ).
thf(f59,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f64,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f65,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f64]) ).
thf(f68,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( mequiv @ ( equal_set @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f35]) ).
thf(f69,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,[],[f68]) ).
thf(f70,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] : ( qmltpeq @ X0 @ X0 ) ) ),
inference(rectify,[],[f13]) ).
thf(f71,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f70]) ).
thf(f78,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) ) )
= mequiv ),
inference(rectify,[],[f6]) ).
thf(f79,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f78]) ).
thf(f104,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f105,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f104]) ).
thf(f108,plain,
~ ( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] : ( equal_set @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ) ) ) ),
inference(rectify,[],[f46]) ).
thf(f109,plain,
( $true
= ( ~ ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f108]) ).
thf(f120,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mforall_di
@ ^ [X2: $i] : ( mequiv @ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) @ ( mand @ ( member @ X0 @ X1 ) @ ( member @ X0 @ X2 ) ) ) ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f121,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mequiv @ ( member @ Y0 @ ( intersection @ Y1 @ Y2 ) ) @ ( mand @ ( member @ Y0 @ Y1 ) @ ( member @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f120]) ).
thf(f124,plain,
( ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) )
= mforall_di ),
inference(rectify,[],[f11]) ).
thf(f125,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f130,plain,
( mlocal
@ ( mforall_di
@ ^ [X0: $i] :
( mforall_di
@ ^ [X1: $i] :
( mforall_di
@ ^ [X2: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X0 @ X1 ) @ ( equal_set @ X0 @ X2 ) ) @ ( equal_set @ X1 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f131,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mimplies @ ( mand @ ( qmltpeq @ Y0 @ Y1 ) @ ( equal_set @ Y0 @ Y2 ) ) @ ( equal_set @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f130]) ).
thf(f136,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f105]) ).
thf(f141,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f146,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f150,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mequiv @ ( member @ Y0 @ ( intersection @ Y1 @ Y2 ) ) @ ( mand @ ( member @ Y0 @ Y1 ) @ ( member @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f121]) ).
thf(f158,plain,
( $true
= ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] :
( mforall_di
@ ^ [Y2: $i] : ( mimplies @ ( mand @ ( qmltpeq @ Y0 @ Y1 ) @ ( equal_set @ Y0 @ Y2 ) ) @ ( equal_set @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f131]) ).
thf(f164,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,[],[f50]) ).
thf(f166,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f169,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,[],[f69]) ).
thf(f172,plain,
( $true
= ( ~ ( mlocal
@ ( mforall_di
@ ^ [Y0: $i] :
( mforall_di
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f109]) ).
thf(f176,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f79]) ).
thf(f178,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f186,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f141,f178,f166]) ).
thf(f194,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: $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 @ Y0 @ ( intersection @ Y1 @ Y2 ) )
@ ( ^ [Y3: mworld > $o,Y4: mworld > $o,Y5: mworld] :
( ( Y3 @ Y5 )
& ( Y4 @ Y5 ) )
@ ( member @ Y0 @ Y1 )
@ ( member @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f150,f178,f166,f166,f166,f176,f146]) ).
thf(f201,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: $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 ) )
@ ( ^ [Y3: mworld > $o,Y4: mworld > $o,Y5: mworld] :
( ( Y3 @ Y5 )
& ( Y4 @ Y5 ) )
@ ( qmltpeq @ Y0 @ Y1 )
@ ( equal_set @ Y0 @ Y2 ) )
@ ( equal_set @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f158,f178,f166,f166,f166,f136,f146]) ).
thf(f205,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] :
( ( Y2 @ Y4 )
= ( Y3 @ 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,[],[f164,f178,f166,f166,f176,f166,f136]) ).
thf(f209,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] :
( ( Y2 @ Y4 )
= ( Y3 @ 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,[],[f169,f178,f166,f166,f176,f146]) ).
thf(f211,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] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f172,f178,f166,f166]) ).
thf(f216,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( equal_set @ Y0 @ Y2 @ mactual ) )
=> ( equal_set @ Y1 @ Y2 @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f201]) ).
thf(f222,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 @ mactual ) )
= $true ),
inference(beta-eta_normalization,[],[f186]) ).
thf(f228,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 @ mactual )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 @ mactual )
=> ( member @ Y2 @ Y1 @ mactual ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f205]) ).
thf(f232,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y0 @ ( intersection @ Y1 @ Y2 ) @ mactual )
= ( ( member @ Y0 @ Y1 @ mactual )
& ( member @ Y0 @ Y2 @ mactual ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f194]) ).
thf(f241,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) @ mactual ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f245,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( equal_set @ Y0 @ Y1 @ mactual )
= ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f209]) ).
thf(f249,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) @ mactual ) ) )
= $false ),
inference(not_proxy_clausification,[],[f241]) ).
thf(f250,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) @ mactual ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f249]) ).
thf(f251,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] : ( equal_set @ ( intersection @ sK0 @ Y0 ) @ ( intersection @ Y0 @ sK0 ) @ mactual ) ) ),
inference(beta-eta_normalization,[],[f250]) ).
thf(f252,plain,
( ( ^ [Y0: $i] : ( equal_set @ ( intersection @ sK0 @ Y0 ) @ ( intersection @ Y0 @ sK0 ) @ mactual )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f251]) ).
thf(f253,plain,
( $false
= ( equal_set @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual ) ),
inference(beta-eta_normalization,[],[f252]) ).
thf(f269,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( qmltpeq @ Y0 @ Y0 @ mactual )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f222]) ).
thf(f270,plain,
! [X1: $i] :
( $true
= ( qmltpeq @ X1 @ X1 @ mactual ) ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f398,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( equal_set @ Y0 @ Y1 @ mactual )
= ( ( subset @ Y0 @ Y1 @ mactual )
& ( subset @ Y1 @ Y0 @ mactual ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f245]) ).
thf(f399,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( equal_set @ X1 @ Y0 @ mactual )
= ( ( subset @ X1 @ Y0 @ mactual )
& ( subset @ Y0 @ X1 @ mactual ) ) ) ) ),
inference(beta-eta_normalization,[],[f398]) ).
thf(f400,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( equal_set @ X1 @ Y0 @ mactual )
= ( ( subset @ X1 @ Y0 @ mactual )
& ( subset @ Y0 @ X1 @ mactual ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f399]) ).
thf(f401,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( equal_set @ X1 @ X2 @ mactual )
= ( ( subset @ X1 @ X2 @ mactual )
& ( subset @ X2 @ X1 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f400]) ).
thf(f418,definition,
( spl2_1
<=> ( $false
= ( subset @ ( intersection @ sK1 @ sK0 ) @ ( intersection @ sK0 @ sK1 ) @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f419,plain,
( ( $false
!= ( subset @ ( intersection @ sK1 @ sK0 ) @ ( intersection @ sK0 @ sK1 ) @ mactual ) )
| spl2_1 ),
inference(avatar_component_clause,[],[f418]) ).
thf(f420,plain,
( ( $false
= ( subset @ ( intersection @ sK1 @ sK0 ) @ ( intersection @ sK0 @ sK1 ) @ mactual ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f418]) ).
thf(f422,definition,
( spl2_2
<=> ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f424,plain,
( ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f422]) ).
thf(f644,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( equal_set @ Y0 @ Y2 @ mactual ) )
=> ( equal_set @ Y1 @ Y2 @ mactual ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f216]) ).
thf(f645,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( qmltpeq @ X1 @ Y0 @ mactual )
& ( equal_set @ X1 @ Y1 @ mactual ) )
=> ( equal_set @ Y0 @ Y1 @ mactual ) ) ) ) ),
inference(beta-eta_normalization,[],[f644]) ).
thf(f646,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( qmltpeq @ X1 @ Y0 @ mactual )
& ( equal_set @ X1 @ Y1 @ mactual ) )
=> ( equal_set @ Y0 @ Y1 @ mactual ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f645]) ).
thf(f647,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( qmltpeq @ X1 @ X2 @ mactual )
& ( equal_set @ X1 @ Y0 @ mactual ) )
=> ( equal_set @ X2 @ Y0 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f646]) ).
thf(f654,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( qmltpeq @ X1 @ X2 @ mactual )
& ( equal_set @ X1 @ Y0 @ mactual ) )
=> ( equal_set @ X2 @ Y0 @ mactual ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f647]) ).
thf(f655,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( qmltpeq @ X1 @ X2 @ mactual )
& ( equal_set @ X1 @ X3 @ mactual ) )
=> ( equal_set @ X2 @ X3 @ mactual ) ) ),
inference(beta-eta_normalization,[],[f654]) ).
thf(f656,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( qmltpeq @ X1 @ X2 @ mactual )
& ( equal_set @ X1 @ X3 @ mactual ) )
= $false )
| ( $true
= ( equal_set @ X2 @ X3 @ mactual ) ) ),
inference(imp_proxy_clausification,[],[f655]) ).
thf(f657,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( equal_set @ X2 @ X3 @ mactual ) )
| ( $false
= ( qmltpeq @ X1 @ X2 @ mactual ) )
| ( ( equal_set @ X1 @ X3 @ mactual )
= $false ) ),
inference(and_proxy_clausification,[],[f656]) ).
thf(f658,plain,
! [X0: $i] :
( ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false )
| ( $false
= ( equal_set @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) )
| ( $true = $false ) ),
inference(superposition,[],[f657,f253]) ).
thf(f666,plain,
! [X0: $i] :
( ( $false
= ( equal_set @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) )
| ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false ) ),
inference(trivial_inequality_removal,[],[f658]) ).
thf(f677,plain,
! [X0: $i] :
( ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false )
| ( $true
= ( $false
= ( ( subset @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
& ( subset @ ( intersection @ sK1 @ sK0 ) @ X0 @ mactual ) ) ) ) ),
inference(superposition,[],[f401,f666]) ).
thf(f682,plain,
! [X0: $i] :
( ( $true
= ( ~ ( ( subset @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
& ( subset @ ( intersection @ sK1 @ sK0 ) @ X0 @ mactual ) ) ) )
| ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false ) ),
inference(boolean_simplification,[],[f677]) ).
thf(f687,plain,
! [X0: $i] :
( ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false )
| ( $false
= ( ( subset @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
& ( subset @ ( intersection @ sK1 @ sK0 ) @ X0 @ mactual ) ) ) ),
inference(not_proxy_clausification,[],[f682]) ).
thf(f698,plain,
! [X0: $i] :
( ( $false
= ( subset @ ( intersection @ sK1 @ sK0 ) @ X0 @ mactual ) )
| ( ( subset @ X0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ( ( qmltpeq @ X0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false ) ),
inference(and_proxy_clausification,[],[f687]) ).
thf(f927,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 @ mactual )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 @ mactual )
=> ( member @ Y2 @ Y1 @ mactual ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f228]) ).
thf(f928,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ X1 @ Y0 @ mactual )
= ( !! @ $i
@ ^ [Y1: $i] :
( ( member @ Y1 @ X1 @ mactual )
=> ( member @ Y1 @ Y0 @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f927]) ).
thf(f929,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( subset @ X1 @ Y0 @ mactual )
= ( !! @ $i
@ ^ [Y1: $i] :
( ( member @ Y1 @ X1 @ mactual )
=> ( member @ Y1 @ Y0 @ mactual ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f928]) ).
thf(f930,plain,
! [X2: $i,X1: $i] :
( ( ( subset @ X1 @ X2 @ mactual )
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ X1 @ mactual )
=> ( member @ Y0 @ X2 @ mactual ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f929]) ).
thf(f932,plain,
( ( $true
= ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) ) ) ) )
| ~ spl2_2 ),
inference(superposition,[],[f930,f424]) ).
thf(f947,plain,
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) ) ) ) )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f932]) ).
thf(f954,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) ) )
= $false )
| ~ spl2_2 ),
inference(not_proxy_clausification,[],[f947]) ).
thf(f956,plain,
( ( ( ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual ) )
@ sK3 )
= $false )
| ~ spl2_2 ),
inference(sigma_proxy_clausification,[],[f954]) ).
thf(f959,plain,
( ( $false
= ( ( member @ sK3 @ ( intersection @ sK0 @ sK1 ) @ mactual )
=> ( member @ sK3 @ ( intersection @ sK1 @ sK0 ) @ mactual ) ) )
| ~ spl2_2 ),
inference(beta-eta_normalization,[],[f956]) ).
thf(f960,plain,
( ( ( member @ sK3 @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ~ spl2_2 ),
inference(imp_proxy_clausification,[],[f959]) ).
thf(f961,plain,
( ( ( member @ sK3 @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $true )
| ~ spl2_2 ),
inference(imp_proxy_clausification,[],[f959]) ).
thf(f2253,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( member @ Y0 @ ( intersection @ Y1 @ Y2 ) @ mactual )
= ( ( member @ Y0 @ Y1 @ mactual )
& ( member @ Y0 @ Y2 @ mactual ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f232]) ).
thf(f2254,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( member @ X1 @ ( intersection @ Y0 @ Y1 ) @ mactual )
= ( ( member @ X1 @ Y0 @ mactual )
& ( member @ X1 @ Y1 @ mactual ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2253]) ).
thf(f2293,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( member @ X1 @ ( intersection @ Y0 @ Y1 ) @ mactual )
= ( ( member @ X1 @ Y0 @ mactual )
& ( member @ X1 @ Y1 @ mactual ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2254]) ).
thf(f2294,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ X1 @ ( intersection @ X2 @ Y0 ) @ mactual )
= ( ( member @ X1 @ X2 @ mactual )
& ( member @ X1 @ Y0 @ mactual ) ) ) ) ),
inference(beta-eta_normalization,[],[f2293]) ).
thf(f2315,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( member @ X1 @ ( intersection @ X2 @ Y0 ) @ mactual )
= ( ( member @ X1 @ X2 @ mactual )
& ( member @ X1 @ Y0 @ mactual ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f2294]) ).
thf(f2316,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( member @ X1 @ ( intersection @ X2 @ X3 ) @ mactual )
= ( ( member @ X1 @ X2 @ mactual )
& ( member @ X1 @ X3 @ mactual ) ) ) ),
inference(beta-eta_normalization,[],[f2315]) ).
thf(f2441,plain,
( ( $true
= ( $false
= ( ( member @ sK3 @ sK1 @ mactual )
& ( member @ sK3 @ sK0 @ mactual ) ) ) )
| ~ spl2_2 ),
inference(superposition,[],[f2316,f960]) ).
thf(f2444,plain,
( ( $true
= ( $true
= ( ( member @ sK3 @ sK0 @ mactual )
& ( member @ sK3 @ sK1 @ mactual ) ) ) )
| ~ spl2_2 ),
inference(superposition,[],[f2316,f961]) ).
thf(f2458,plain,
( ( $true
= ( ~ ( ( member @ sK3 @ sK1 @ mactual )
& ( member @ sK3 @ sK0 @ mactual ) ) ) )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f2441]) ).
thf(f2500,plain,
( ( $true
= ( ( member @ sK3 @ sK0 @ mactual )
& ( member @ sK3 @ sK1 @ mactual ) ) )
| ~ spl2_2 ),
inference(boolean_simplification,[],[f2444]) ).
thf(f2582,plain,
( ( ( ( member @ sK3 @ sK1 @ mactual )
& ( member @ sK3 @ sK0 @ mactual ) )
= $false )
| ~ spl2_2 ),
inference(not_proxy_clausification,[],[f2458]) ).
thf(f2599,plain,
( ( $true
= ( member @ sK3 @ sK1 @ mactual ) )
| ~ spl2_2 ),
inference(and_proxy_clausification,[],[f2500]) ).
thf(f2631,plain,
( ( ( member @ sK3 @ sK1 @ mactual )
= $false )
| ( $false
= ( member @ sK3 @ sK0 @ mactual ) )
| ~ spl2_2 ),
inference(and_proxy_clausification,[],[f2582]) ).
thf(f2637,definition,
( spl2_11
<=> ( ( member @ sK3 @ sK1 @ mactual )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f2639,plain,
( ( ( member @ sK3 @ sK1 @ mactual )
= $false )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f2637]) ).
thf(f2641,definition,
( spl2_12
<=> ( $false
= ( member @ sK3 @ sK0 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f2643,plain,
( ( $false
= ( member @ sK3 @ sK0 @ mactual ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f2641]) ).
thf(f2644,plain,
( spl2_11
| spl2_12
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f2631,f422,f2641,f2637]) ).
thf(f2693,plain,
( ( $true
= ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual ) ) ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f930,f420]) ).
thf(f2697,plain,
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual ) ) ) ) )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f2693]) ).
thf(f2711,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual ) ) ) )
| ~ spl2_1 ),
inference(not_proxy_clausification,[],[f2697]) ).
thf(f2797,plain,
( ! [X0: $i] :
( $true
= ( ( member @ sK3 @ ( intersection @ sK0 @ X0 ) @ mactual )
= ( $false
& ( member @ sK3 @ X0 @ mactual ) ) ) )
| ~ spl2_12 ),
inference(superposition,[],[f2316,f2643]) ).
thf(f2812,plain,
( ! [X0: $i] :
( $true
= ( ( member @ sK3 @ ( intersection @ sK0 @ X0 ) @ mactual )
= $false ) )
| ~ spl2_12 ),
inference(boolean_simplification,[],[f2797]) ).
thf(f2813,plain,
( ! [X0: $i] :
( $true
= ( ~ ( member @ sK3 @ ( intersection @ sK0 @ X0 ) @ mactual ) ) )
| ~ spl2_12 ),
inference(boolean_simplification,[],[f2812]) ).
thf(f2816,plain,
( ! [X0: $i] :
( ( member @ sK3 @ ( intersection @ sK0 @ X0 ) @ mactual )
= $false )
| ~ spl2_12 ),
inference(not_proxy_clausification,[],[f2813]) ).
thf(f3337,plain,
( ( ( ^ [Y0: $i] :
( ( member @ Y0 @ ( intersection @ sK1 @ sK0 ) @ mactual )
=> ( member @ Y0 @ ( intersection @ sK0 @ sK1 ) @ mactual ) )
@ sK7 )
= $false )
| ~ spl2_1 ),
inference(sigma_proxy_clausification,[],[f2711]) ).
thf(f3339,plain,
( ( $false
= ( ( member @ sK7 @ ( intersection @ sK1 @ sK0 ) @ mactual )
=> ( member @ sK7 @ ( intersection @ sK0 @ sK1 ) @ mactual ) ) )
| ~ spl2_1 ),
inference(beta-eta_normalization,[],[f3337]) ).
thf(f3341,plain,
( ( $false
= ( member @ sK7 @ ( intersection @ sK0 @ sK1 ) @ mactual ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f3339]) ).
thf(f3342,plain,
( ( $true
= ( member @ sK7 @ ( intersection @ sK1 @ sK0 ) @ mactual ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f3339]) ).
thf(f3380,plain,
( ( $true
= ( $false
= ( ( member @ sK7 @ sK0 @ mactual )
& ( member @ sK7 @ sK1 @ mactual ) ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f2316,f3341]) ).
thf(f3402,plain,
( ( $true
= ( ~ ( ( member @ sK7 @ sK0 @ mactual )
& ( member @ sK7 @ sK1 @ mactual ) ) ) )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f3380]) ).
thf(f3408,plain,
( ( $false
= ( ( member @ sK7 @ sK0 @ mactual )
& ( member @ sK7 @ sK1 @ mactual ) ) )
| ~ spl2_1 ),
inference(not_proxy_clausification,[],[f3402]) ).
thf(f3409,plain,
( ( $false
= ( member @ sK7 @ sK0 @ mactual ) )
| ( $false
= ( member @ sK7 @ sK1 @ mactual ) )
| ~ spl2_1 ),
inference(and_proxy_clausification,[],[f3408]) ).
thf(f3411,definition,
( spl2_18
<=> ( $false
= ( member @ sK7 @ sK0 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f3413,plain,
( ( $false
= ( member @ sK7 @ sK0 @ mactual ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f3411]) ).
thf(f3415,definition,
( spl2_19
<=> ( $false
= ( member @ sK7 @ sK1 @ mactual ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f3417,plain,
( ( $false
= ( member @ sK7 @ sK1 @ mactual ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f3415]) ).
thf(f3418,plain,
( spl2_18
| spl2_19
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f3409,f418,f3415,f3411]) ).
thf(f3482,plain,
( ( $true
= ( $true
= ( ( member @ sK7 @ sK1 @ mactual )
& ( member @ sK7 @ sK0 @ mactual ) ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f2316,f3342]) ).
thf(f3489,plain,
( ( ( ( member @ sK7 @ sK1 @ mactual )
& ( member @ sK7 @ sK0 @ mactual ) )
= $true )
| ~ spl2_1 ),
inference(boolean_simplification,[],[f3482]) ).
thf(f3500,plain,
( ( $true
= ( ( member @ sK7 @ sK1 @ mactual )
& $false ) )
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f3489,f3413]) ).
thf(f3501,plain,
( ( $true = $false )
| ~ spl2_1
| ~ spl2_18 ),
inference(boolean_simplification,[],[f3500]) ).
thf(f3502,plain,
( $false
| ~ spl2_1
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f3501]) ).
thf(f3503,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f3502]) ).
thf(f3506,plain,
( ( $true
= ( member @ sK7 @ sK1 @ mactual ) )
| ~ spl2_1 ),
inference(and_proxy_clausification,[],[f3489]) ).
thf(f3873,plain,
( ( $true = $false )
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f3506,f3417]) ).
thf(f3874,plain,
( $false
| ~ spl2_1
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f3873]) ).
thf(f3875,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f3874]) ).
thf(f3895,plain,
( ( $true = $false )
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f961,f2816]) ).
thf(f3896,plain,
( $false
| ~ spl2_2
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f3895]) ).
thf(f3897,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
thf(f3900,plain,
( ( $false != $false )
| ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ( ( qmltpeq @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false )
| spl2_1 ),
inference(superposition,[],[f419,f698]) ).
thf(f3907,plain,
( ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ( ( qmltpeq @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK0 @ sK1 ) @ mactual )
= $false )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f3900]) ).
thf(f3909,plain,
( ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| ( $true = $false )
| spl2_1 ),
inference(forward_demodulation,[],[f3907,f270]) ).
thf(f3910,plain,
( ( ( subset @ ( intersection @ sK0 @ sK1 ) @ ( intersection @ sK1 @ sK0 ) @ mactual )
= $false )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f3909]) ).
thf(f3913,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f3910,f418,f422]) ).
thf(f4167,plain,
( ( $true = $false )
| ~ spl2_2
| ~ spl2_11 ),
inference(forward_demodulation,[],[f2599,f2639]) ).
thf(f4168,plain,
( $false
| ~ spl2_2
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f4167]) ).
thf(f4169,plain,
( ~ spl2_2
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f4168]) ).
cnf(s21,plain,
( ~ spl2_2
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s38,plain,
( ~ spl2_1
| spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f3418]) ).
cnf(s39,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(sat_conversion,[],[f3503]) ).
cnf(s40,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(sat_conversion,[],[f3875]) ).
cnf(s42,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s44,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f3913]) ).
cnf(s48,plain,
( ~ spl2_2
| ~ spl2_11 ),
inference(sat_conversion,[],[f4169]) ).
cnf(s52,plain,
~ spl2_2,
inference(rat,[],[s21,s42,s48]) ).
cnf(s53,plain,
spl2_1,
inference(rat,[],[s44,s52]) ).
cnf(s55,plain,
~ spl2_19,
inference(rat,[],[s40,s53]) ).
cnf(s56,plain,
~ spl2_18,
inference(rat,[],[s39,s53]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s38,s55,s56,s53]) ).
thf(f4170,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET004^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n014.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 13:34:15 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running higher-order theorem proving
% 0.25/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.25/0.50 % (2653953)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.25/0.50 % (2653960)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2984661280:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.25/0.50 % (2653960)Instruction limit reached!
% 1.25/0.50 % (2653960)------------------------------
% 1.25/0.50 % (2653960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.50 % (2653960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.50 % (2653960)CaDiCaL version: 2.1.3
% 1.25/0.50 % (2653960)Termination reason: Instruction limit
% 1.25/0.50 % (2653960)Termination phase: Property scanning
% 1.25/0.50 % (2653960)Time elapsed: 0.003 s
% 1.25/0.50 % (2653960)Peak memory usage: 10 MB
% 1.25/0.50 % (2653960)Instructions burned: 6 (million)
% 1.25/0.50 % (2653964)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.25/0.50 % (2653959)lrs+10_16_si=on:nwc=1.5:random_seed=62162680:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.25/0.50 % (2653964)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
% 1.25/0.50 % (2653958)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=955354642:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.25/0.50 % (2653961)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=1114741166: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)
% 1.25/0.50 % (2653962)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=480394180:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.25/0.50 % (2653963)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3459438210:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.25/0.50 % (2653964)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=2395296830:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.25/0.50 % (2653966)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=251875945:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.25/0.50 % (2653966)Instruction limit reached!
% 1.25/0.50 % (2653966)------------------------------
% 1.25/0.50 % (2653966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.50 % (2653966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.50 % (2653966)CaDiCaL version: 2.1.3
% 1.25/0.50 % (2653966)Termination reason: Instruction limit
% 1.25/0.50 % (2653966)Termination phase: shuffling
% 1.25/0.50 % (2653966)Time elapsed: 0.001 s
% 1.25/0.50 % (2653966)Peak memory usage: 10 MB
% 1.25/0.50 % (2653966)Instructions burned: 3 (million)
% 1.25/0.50 % (2653959)Instruction limit reached!
% 1.25/0.50 % (2653959)------------------------------
% 1.25/0.50 % (2653959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.50 % (2653959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.50 % (2653959)CaDiCaL version: 2.1.3
% 1.25/0.50 % (2653959)Termination reason: Instruction limit
% 1.25/0.50 % (2653959)Termination phase: Property scanning
% 1.25/0.50 % (2653959)Time elapsed: 0.015 s
% 1.25/0.50 % (2653959)Peak memory usage: 10 MB
% 1.25/0.50 % (2653959)Instructions burned: 19 (million)
% 1.25/0.50 % (2653962)Instruction limit reached!
% 1.25/0.50 % (2653962)------------------------------
% 1.25/0.50 % (2653962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.50 % (2653962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.50 % (2653962)CaDiCaL version: 2.1.3
% 1.25/0.50 % (2653962)Termination reason: Instruction limit
% 1.25/0.50 % (2653962)Termination phase: Saturation
% 1.25/0.50 % (2653962)Time elapsed: 0.022 s
% 1.25/0.50 % (2653962)Peak memory usage: 11 MB
% 1.25/0.50 % (2653962)Instructions burned: 25 (million)
% 1.25/0.50 % (2653974)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3835125675:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.25/0.53 % (2653974)Instruction limit reached!
% 1.25/0.53 % (2653974)------------------------------
% 1.25/0.53 % (2653974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.53 % (2653974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.53 % (2653974)CaDiCaL version: 2.1.3
% 1.25/0.53 % (2653974)Termination reason: Instruction limit
% 1.25/0.53 % (2653974)Termination phase: shuffling
% 1.25/0.53 % (2653974)Time elapsed: 0.004 s
% 1.25/0.53 % (2653974)Peak memory usage: 9 MB
% 1.25/0.53 % (2653974)Instructions burned: 5 (million)
% 1.25/0.53 % (2653975)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.25/0.53 % (2653976)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1396757871:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.25/0.53 % (2653975)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=186201214:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.25/0.53 % (2653976)Instruction limit reached!
% 1.25/0.53 % (2653976)------------------------------
% 1.25/0.53 % (2653976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.53 % (2653976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.53 % (2653976)CaDiCaL version: 2.1.3
% 1.25/0.53 % (2653976)Termination reason: Instruction limit
% 1.25/0.53 % (2653976)Termination phase: Property scanning
% 1.25/0.53 % (2653976)Time elapsed: 0.005 s
% 1.25/0.53 % (2653976)Peak memory usage: 11 MB
% 1.25/0.53 % (2653976)Instructions burned: 13 (million)
% 1.25/0.53 % (2653975)Instruction limit reached!
% 1.25/0.53 % (2653975)------------------------------
% 1.25/0.53 % (2653975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.53 % (2653975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.53 % (2653975)CaDiCaL version: 2.1.3
% 1.25/0.53 % (2653975)Termination reason: Instruction limit
% 1.25/0.53 % (2653975)Termination phase: Naming
% 1.25/0.53 % (2653975)Time elapsed: 0.006 s
% 1.25/0.53 % (2653975)Peak memory usage: 10 MB
% 1.25/0.53 % (2653975)Instructions burned: 7 (million)
% 1.25/0.53 % (2653978)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
% 1.25/0.53 % (2653978)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.25/0.53 % (2653963)Instruction limit reached!
% 1.25/0.53 % (2653963)------------------------------
% 1.25/0.53 % (2653963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.53 % (2653963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.53 % (2653963)CaDiCaL version: 2.1.3
% 1.25/0.53 % (2653963)Termination reason: Instruction limit
% 1.25/0.53 % (2653963)Termination phase: Saturation
% 1.25/0.53 % (2653963)Time elapsed: 0.062 s
% 1.25/0.53 % (2653963)Peak memory usage: 12 MB
% 1.25/0.53 % (2653963)Instructions burned: 76 (million)
% 1.25/0.53 % (2653981)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=2426638773:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.25/0.53 % (2653978)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=406501105:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.25/0.53 % (2653958)Instruction limit reached!
% 1.25/0.53 % (2653958)------------------------------
% 1.25/0.53 % (2653958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.53 % (2653958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.53 % (2653958)CaDiCaL version: 2.1.3
% 1.25/0.53 % (2653958)Termination reason: Instruction limit
% 1.25/0.53 % (2653958)Termination phase: Saturation
% 1.25/0.53 % (2653958)Time elapsed: 0.076 s
% 1.25/0.53 % (2653958)Peak memory usage: 12 MB
% 1.25/0.53 % (2653958)Instructions burned: 88 (million)
% 1.25/0.53 % (2653982)lrs+10_1_si=on:cs=on:random_seed=1701067624:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.25/0.53 % (2653982)Instruction limit reached!
% 1.25/0.57 % (2653982)------------------------------
% 1.25/0.57 % (2653982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653982)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653982)Termination reason: Instruction limit
% 1.25/0.57 % (2653982)Termination phase: Property scanning
% 1.25/0.57 % (2653982)Time elapsed: 0.007 s
% 1.25/0.57 % (2653982)Peak memory usage: 10 MB
% 1.25/0.57 % (2653982)Instructions burned: 9 (million)
% 1.25/0.57 % (2653984)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.25/0.57 % (2653984)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=3685821602:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.25/0.57 % (2653978)Instruction limit reached!
% 1.25/0.57 % (2653978)------------------------------
% 1.25/0.57 % (2653978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653978)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653978)Termination reason: Instruction limit
% 1.25/0.57 % (2653978)Termination phase: Saturation
% 1.25/0.57 % (2653978)Time elapsed: 0.030 s
% 1.25/0.57 % (2653978)Peak memory usage: 11 MB
% 1.25/0.57 % (2653978)Instructions burned: 30 (million)
% 1.25/0.57 % (2653984)Instruction limit reached!
% 1.25/0.57 % (2653984)------------------------------
% 1.25/0.57 % (2653984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653984)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653984)Termination reason: Instruction limit
% 1.25/0.57 % (2653984)Termination phase: shuffling
% 1.25/0.57 % (2653984)Time elapsed: 0.002 s
% 1.25/0.57 % (2653984)Peak memory usage: 9 MB
% 1.25/0.57 % (2653984)Instructions burned: 2 (million)
% 1.25/0.57 % (2653981)Instruction limit reached!
% 1.25/0.57 % (2653981)------------------------------
% 1.25/0.57 % (2653981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653981)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653981)Termination reason: Instruction limit
% 1.25/0.57 % (2653981)Termination phase: Saturation
% 1.25/0.57 % (2653981)Time elapsed: 0.040 s
% 1.25/0.57 % (2653981)Peak memory usage: 12 MB
% 1.25/0.57 % (2653981)Instructions burned: 87 (million)
% 1.25/0.57 % (2653986)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=267417173:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.25/0.57 % (2653988)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1670734016:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.25/0.57 % (2653986)Refutation not found, incomplete strategy
% 1.25/0.57 % (2653986)------------------------------
% 1.25/0.57 % (2653986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653986)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653986)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.57 % (2653986)Time elapsed: 0.014 s
% 1.25/0.57 % (2653986)Peak memory usage: 12 MB
% 1.25/0.57 % (2653986)Instructions burned: 16 (million)
% 1.25/0.57 % (2653986)------------------------------
% 1.25/0.57 % (2653986)------------------------------
% 1.25/0.57 % (2653992)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2540392251:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.25/0.57 % (2653988)Refutation not found, incomplete strategy
% 1.25/0.57 % (2653988)------------------------------
% 1.25/0.57 % (2653988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.57 % (2653988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.57 % (2653988)CaDiCaL version: 2.1.3
% 1.25/0.57 % (2653988)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.57 % (2653988)Time elapsed: 0.011 s
% 1.25/0.57 % (2653988)Peak memory usage: 12 MB
% 1.25/0.57 % (2653988)Instructions burned: 13 (million)
% 1.25/0.57 % (2653992)Refutation not found, incomplete strategy
% 2.00/0.64 % (2653992)------------------------------
% 2.00/0.64 % (2653992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.64 % (2653992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.64 % (2653992)CaDiCaL version: 2.1.3
% 2.00/0.64 % (2653992)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.64 % (2653992)Time elapsed: 0.009 s
% 2.00/0.64 % (2653992)Peak memory usage: 12 MB
% 2.00/0.64 % (2653992)Instructions burned: 19 (million)
% 2.00/0.64 % (2653990)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3085742115:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.00/0.64 % (2653964)Instruction limit reached!
% 2.00/0.64 % (2653964)------------------------------
% 2.00/0.64 % (2653964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.64 % (2653964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.64 % (2653964)CaDiCaL version: 2.1.3
% 2.00/0.64 % (2653964)Termination reason: Instruction limit
% 2.00/0.64 % (2653964)Termination phase: Saturation
% 2.00/0.64 % (2653964)Time elapsed: 0.132 s
% 2.00/0.64 % (2653964)Peak memory usage: 13 MB
% 2.00/0.64 % (2653964)Instructions burned: 157 (million)
% 2.00/0.64 % (2653992)------------------------------
% 2.00/0.64 % (2653992)------------------------------
% 2.00/0.64 % (2653988)------------------------------
% 2.00/0.64 % (2653988)------------------------------
% 2.00/0.64 % (2653991)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3707545642:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.00/0.64 % (2653990)Refutation not found, incomplete strategy
% 2.00/0.64 % (2653990)------------------------------
% 2.00/0.64 % (2653990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.64 % (2653990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.64 % (2653990)CaDiCaL version: 2.1.3
% 2.00/0.64 % (2653990)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.64 % (2653990)Time elapsed: 0.013 s
% 2.00/0.64 % (2653990)Peak memory usage: 12 MB
% 2.00/0.64 % (2653990)Instructions burned: 15 (million)
% 2.00/0.64 % (2653991)Instruction limit reached!
% 2.00/0.64 % (2653991)------------------------------
% 2.00/0.64 % (2653991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.64 % (2653991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.64 % (2653991)CaDiCaL version: 2.1.3
% 2.00/0.64 % (2653991)Termination reason: Instruction limit
% 2.00/0.64 % (2653991)Termination phase: Function definition elimination
% 2.00/0.64 % (2653991)Time elapsed: 0.011 s
% 2.00/0.64 % (2653991)Peak memory usage: 10 MB
% 2.00/0.64 % (2653991)Instructions burned: 14 (million)
% 2.00/0.64 % (2653990)------------------------------
% 2.00/0.64 % (2653990)------------------------------
% 2.00/0.64 % (2653998)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=376587166: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)
% 2.00/0.64 % (2653996)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2353061140:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.00/0.64 % (2653998)Instruction limit reached!
% 2.00/0.64 % (2653998)------------------------------
% 2.00/0.64 % (2653998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.64 % (2653998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.64 % (2653998)CaDiCaL version: 2.1.3
% 2.00/0.64 % (2653998)Termination reason: Instruction limit
% 2.00/0.64 % (2653998)Termination phase: shuffling
% 2.00/0.64 % (2653998)Time elapsed: 0.002 s
% 2.00/0.64 % (2653998)Peak memory usage: 10 MB
% 2.00/0.64 % (2653998)Instructions burned: 4 (million)
% 2.00/0.64 % (2653999)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=174953986:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.00/0.64 % (2654000)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=794873200:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.00/0.64 % (2653996)Instruction limit reached!
% 2.00/0.64 % (2653996)------------------------------
% 2.00/0.64 % (2653996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2653996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.68 % (2653996)CaDiCaL version: 2.1.3
% 2.25/0.68 % (2653996)Termination reason: Instruction limit
% 2.25/0.68 % (2653996)Termination phase: Property scanning
% 2.25/0.68 % (2653996)Time elapsed: 0.012 s
% 2.25/0.68 % (2653996)Peak memory usage: 10 MB
% 2.25/0.68 % (2653996)Instructions burned: 15 (million)
% 2.25/0.68 % (2654006)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.25/0.68 % (2654003)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
% 2.25/0.68 % (2654003)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.25/0.68 % (2654006)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=2735706439:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.25/0.68 % (2654002)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=655890086:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.25/0.68 % (2654003)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=889524242:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.25/0.68 % (2654006)Instruction limit reached!
% 2.25/0.68 % (2654006)------------------------------
% 2.25/0.68 % (2654006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2654006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.68 % (2654006)CaDiCaL version: 2.1.3
% 2.25/0.68 % (2654006)Termination reason: Instruction limit
% 2.25/0.68 % (2654006)Termination phase: SInE selection
% 2.25/0.68 % (2654006)Time elapsed: 0.005 s
% 2.25/0.68 % (2654006)Peak memory usage: 10 MB
% 2.25/0.68 % (2654006)Instructions burned: 10 (million)
% 2.25/0.68 % (2654000)Instruction limit reached!
% 2.25/0.68 % (2654000)------------------------------
% 2.25/0.68 % (2654000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2654000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.68 % (2654000)CaDiCaL version: 2.1.3
% 2.25/0.68 % (2654000)Termination reason: Instruction limit
% 2.25/0.68 % (2654000)Termination phase: Saturation
% 2.25/0.68 % (2654000)Time elapsed: 0.018 s
% 2.25/0.68 % (2654000)Peak memory usage: 11 MB
% 2.25/0.68 % (2654000)Instructions burned: 23 (million)
% 2.25/0.68 % (2654009)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=515618603:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.25/0.68 % (2653999)Instruction limit reached!
% 2.25/0.68 % (2653999)------------------------------
% 2.25/0.68 % (2653999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2653999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.68 % (2653999)CaDiCaL version: 2.1.3
% 2.25/0.68 % (2653999)Termination reason: Instruction limit
% 2.25/0.68 % (2653999)Termination phase: Saturation
% 2.25/0.68 % (2653999)Time elapsed: 0.021 s
% 2.25/0.68 % (2653999)Peak memory usage: 11 MB
% 2.25/0.68 % (2653999)Instructions burned: 27 (million)
% 2.25/0.68 % (2654003)Instruction limit reached!
% 2.25/0.68 % (2654003)------------------------------
% 2.25/0.68 % (2654003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2654003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.68 % (2654003)CaDiCaL version: 2.1.3
% 2.25/0.68 % (2654003)Termination reason: Instruction limit
% 2.25/0.68 % (2654003)Termination phase: Property scanning
% 2.25/0.68 % (2654003)Time elapsed: 0.012 s
% 2.25/0.68 % (2654003)Peak memory usage: 10 MB
% 2.25/0.68 % (2654003)Instructions burned: 15 (million)
% 2.25/0.68 % (2654009)Instruction limit reached!
% 2.25/0.68 % (2654009)------------------------------
% 2.25/0.68 % (2654009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.68 % (2654009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.73 % (2654009)CaDiCaL version: 2.1.3
% 2.60/0.73 % (2654009)Termination reason: Instruction limit
% 2.60/0.73 % (2654009)Termination phase: Saturation
% 2.60/0.73 % (2654009)Time elapsed: 0.018 s
% 2.60/0.73 % (2654009)Peak memory usage: 13 MB
% 2.60/0.73 % (2654009)Instructions burned: 38 (million)
% 2.60/0.73 % (2654013)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2111025733:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.73 % (2654015)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=869706762:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.60/0.73 % (2654018)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3923969652:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.60/0.73 % (2654016)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1782934249:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.60/0.73 % (2654013)Instruction limit reached!
% 2.60/0.73 % (2654013)------------------------------
% 2.60/0.73 % (2654013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.73 % (2654013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.73 % (2654013)CaDiCaL version: 2.1.3
% 2.60/0.73 % (2654013)Termination reason: Instruction limit
% 2.60/0.73 % (2654013)Termination phase: Property scanning
% 2.60/0.73 % (2654013)Time elapsed: 0.007 s
% 2.60/0.73 % (2654013)Peak memory usage: 10 MB
% 2.60/0.73 % (2654013)Instructions burned: 8 (million)
% 2.60/0.73 % (2654017)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4174665264:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.60/0.73 % (2654002)Instruction limit reached!
% 2.60/0.73 % (2654002)------------------------------
% 2.60/0.73 % (2654002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.73 % (2654002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.73 % (2654002)CaDiCaL version: 2.1.3
% 2.60/0.73 % (2654002)Termination reason: Instruction limit
% 2.60/0.73 % (2654002)Termination phase: Saturation
% 2.60/0.73 % (2654002)Time elapsed: 0.055 s
% 2.60/0.73 % (2654002)Peak memory usage: 12 MB
% 2.60/0.73 % (2654002)Instructions burned: 61 (million)
% 2.60/0.73 % (2654015)Instruction limit reached!
% 2.60/0.73 % (2654015)------------------------------
% 2.60/0.73 % (2654015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.73 % (2654015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.73 % (2654015)CaDiCaL version: 2.1.3
% 2.60/0.73 % (2654015)Termination reason: Instruction limit
% 2.60/0.73 % (2654015)Termination phase: Saturation
% 2.60/0.73 % (2654015)Time elapsed: 0.020 s
% 2.60/0.73 % (2654015)Peak memory usage: 11 MB
% 2.60/0.73 % (2654015)Instructions burned: 24 (million)
% 2.60/0.73 % (2654016)Instruction limit reached!
% 2.60/0.73 % (2654016)------------------------------
% 2.60/0.73 % (2654016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.73 % (2654016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.73 % (2654016)CaDiCaL version: 2.1.3
% 2.60/0.73 % (2654016)Termination reason: Instruction limit
% 2.60/0.73 % (2654016)Termination phase: Saturation
% 2.60/0.73 % (2654016)Time elapsed: 0.017 s
% 2.60/0.73 % (2654016)Peak memory usage: 11 MB
% 2.60/0.73 % (2654016)Instructions burned: 21 (million)
% 2.60/0.73 % (2654025)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3531509045:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.60/0.73 % (2654023)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2391845858:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.60/0.73 % (2654026)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.60/0.73 % (2654026)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2186902088:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.73 % (2654027)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1305262946:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.60/0.73 % (2654023)Refutation not found, incomplete strategy
% 2.60/0.73 % (2654023)------------------------------
% 2.89/0.86 % (2654023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654023)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654023)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.86 % (2654023)Time elapsed: 0.016 s
% 2.89/0.86 % (2654023)Peak memory usage: 12 MB
% 2.89/0.86 % (2654023)Instructions burned: 18 (million)
% 2.89/0.86 % (2654023)------------------------------
% 2.89/0.86 % (2654023)------------------------------
% 2.89/0.86 % (2654026)Instruction limit reached!
% 2.89/0.86 % (2654026)------------------------------
% 2.89/0.86 % (2654026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654026)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654026)Termination reason: Instruction limit
% 2.89/0.86 % (2654026)Termination phase: Property scanning
% 2.89/0.86 % (2654026)Time elapsed: 0.006 s
% 2.89/0.86 % (2654026)Peak memory usage: 9 MB
% 2.89/0.86 % (2654026)Instructions burned: 7 (million)
% 2.89/0.86 % (2654025)Instruction limit reached!
% 2.89/0.86 % (2654025)------------------------------
% 2.89/0.86 % (2654025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654025)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654025)Termination reason: Instruction limit
% 2.89/0.86 % (2654025)Termination phase: Saturation
% 2.89/0.86 % (2654025)Time elapsed: 0.021 s
% 2.89/0.86 % (2654025)Peak memory usage: 11 MB
% 2.89/0.86 % (2654025)Instructions burned: 43 (million)
% 2.89/0.86 % (2654018)Instruction limit reached!
% 2.89/0.86 % (2654018)------------------------------
% 2.89/0.86 % (2654018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654018)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654018)Termination reason: Instruction limit
% 2.89/0.86 % (2654018)Termination phase: Saturation
% 2.89/0.86 % (2654018)Time elapsed: 0.064 s
% 2.89/0.86 % (2654018)Peak memory usage: 13 MB
% 2.89/0.86 % (2654018)Instructions burned: 144 (million)
% 2.89/0.86 % (2654027)Refutation not found, incomplete strategy
% 2.89/0.86 % (2654027)------------------------------
% 2.89/0.86 % (2654027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654027)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654027)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.86 % (2654027)Time elapsed: 0.025 s
% 2.89/0.86 % (2654027)Peak memory usage: 12 MB
% 2.89/0.86 % (2654027)Instructions burned: 29 (million)
% 2.89/0.86 % (2654027)------------------------------
% 2.89/0.86 % (2654027)------------------------------
% 2.89/0.86 % (2654034)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=580919570:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.89/0.86 % (2654035)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=51261855:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.89/0.86 % (2654033)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.89/0.86 % (2654033)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=720684515:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.89/0.86 % (2654032)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=809131642:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.89/0.86 % (2654035)Instruction limit reached!
% 2.89/0.86 % (2654035)------------------------------
% 2.89/0.86 % (2654035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.86 % (2654035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.86 % (2654035)CaDiCaL version: 2.1.3
% 2.89/0.86 % (2654035)Termination reason: Instruction limit
% 2.89/0.86 % (2654035)Termination phase: Property scanning
% 2.89/0.86 % (2654035)Time elapsed: 0.008 s
% 3.26/0.94 % (2654035)Peak memory usage: 10 MB
% 3.26/0.94 % (2654035)Instructions burned: 19 (million)
% 3.26/0.94 % (2654034)Instruction limit reached!
% 3.26/0.94 % (2654034)------------------------------
% 3.26/0.94 % (2654034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654034)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654034)Termination reason: Instruction limit
% 3.26/0.94 % (2654034)Termination phase: Saturation
% 3.26/0.94 % (2654034)Time elapsed: 0.010 s
% 3.26/0.94 % (2654034)Peak memory usage: 11 MB
% 3.26/0.94 % (2654034)Instructions burned: 23 (million)
% 3.26/0.94 % (2654033)Instruction limit reached!
% 3.26/0.94 % (2654033)------------------------------
% 3.26/0.94 % (2654033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654033)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654033)Termination reason: Instruction limit
% 3.26/0.94 % (2654033)Termination phase: SInE selection
% 3.26/0.94 % (2654033)Time elapsed: 0.008 s
% 3.26/0.94 % (2654033)Peak memory usage: 10 MB
% 3.26/0.94 % (2654033)Instructions burned: 9 (million)
% 3.26/0.94 % (2654032)Refutation not found, incomplete strategy
% 3.26/0.94 % (2654032)------------------------------
% 3.26/0.94 % (2654032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654032)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654032)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.94 % (2654032)Time elapsed: 0.013 s
% 3.26/0.94 % (2654032)Peak memory usage: 12 MB
% 3.26/0.94 % (2654032)Instructions burned: 15 (million)
% 3.26/0.94 % (2654032)------------------------------
% 3.26/0.94 % (2654032)------------------------------
% 3.26/0.94 % (2654037)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=2933686947:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.26/0.94 % (2654043)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=4225743187:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.26/0.94 % (2654042)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=2348627584:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.26/0.94 % (2654044)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1686233899:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.26/0.94 % (2654043)Instruction limit reached!
% 3.26/0.94 % (2654043)------------------------------
% 3.26/0.94 % (2654043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654043)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654043)Termination reason: Instruction limit
% 3.26/0.94 % (2654043)Termination phase: Saturation
% 3.26/0.94 % (2654043)Time elapsed: 0.019 s
% 3.26/0.94 % (2654043)Peak memory usage: 12 MB
% 3.26/0.94 % (2654043)Instructions burned: 46 (million)
% 3.26/0.94 % (2654046)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3828383618:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.26/0.94 % (2654051)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.26/0.94 % (2654044)Refutation not found, incomplete strategy
% 3.26/0.94 % (2654044)------------------------------
% 3.26/0.94 % (2654044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654044)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654044)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.94 % (2654044)Time elapsed: 0.018 s
% 3.26/0.94 % (2654044)Peak memory usage: 12 MB
% 3.26/0.94 % (2654044)Instructions burned: 21 (million)
% 3.26/0.94 % (2654044)------------------------------
% 3.26/0.94 % (2654044)------------------------------
% 3.26/0.94 % (2654046)Instruction limit reached!
% 3.26/0.94 % (2654046)------------------------------
% 3.26/0.94 % (2654046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654046)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654046)Termination reason: Instruction limit
% 3.26/0.94 % (2654046)Termination phase: Property scanning
% 3.26/0.94 % (2654046)Time elapsed: 0.017 s
% 3.26/0.94 % (2654046)Peak memory usage: 10 MB
% 3.26/0.94 % (2654046)Instructions burned: 21 (million)
% 3.26/0.94 % (2654051)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1793753024:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.26/0.94 % (2654053)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=633544957:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.26/0.94 % (2654053)Instruction limit reached!
% 3.26/0.94 % (2654053)------------------------------
% 3.26/0.94 % (2654053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654053)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654053)Termination reason: Instruction limit
% 3.26/0.94 % (2654053)Termination phase: Property scanning
% 3.26/0.94 % (2654053)Time elapsed: 0.006 s
% 3.26/0.94 % (2654053)Peak memory usage: 11 MB
% 3.26/0.94 % (2654053)Instructions burned: 15 (million)
% 3.26/0.94 % (2654055)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1303939899:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.26/0.94 % (2654057)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=123333651:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.26/0.94 % (2654057)Refutation not found, incomplete strategy
% 3.26/0.94 % (2654057)------------------------------
% 3.26/0.94 % (2654057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654057)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654057)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.94 % (2654057)Time elapsed: 0.019 s
% 3.26/0.94 % (2654057)Peak memory usage: 12 MB
% 3.26/0.94 % (2654057)Instructions burned: 44 (million)
% 3.26/0.94 % (2654057)------------------------------
% 3.26/0.94 % (2654057)------------------------------
% 3.26/0.94 % (2654055)Instruction limit reached!
% 3.26/0.94 % (2654055)------------------------------
% 3.26/0.94 % (2654055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654055)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654055)Termination reason: Instruction limit
% 3.26/0.94 % (2654055)Termination phase: Saturation
% 3.26/0.94 % (2654055)Time elapsed: 0.055 s
% 3.26/0.94 % (2654055)Peak memory usage: 13 MB
% 3.26/0.94 % (2654055)Instructions burned: 66 (million)
% 3.26/0.94 % (2654060)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3354345770:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.26/0.94 % (2654061)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1281908127:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.26/0.94 % (2654051)Instruction limit reached!
% 3.26/0.94 % (2654051)------------------------------
% 3.26/0.94 % (2654051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654051)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654051)Termination reason: Instruction limit
% 3.26/0.94 % (2654051)Termination phase: Saturation
% 3.26/0.94 % (2654051)Time elapsed: 0.111 s
% 3.26/0.94 % (2654051)Peak memory usage: 13 MB
% 3.26/0.94 % (2654051)Instructions burned: 200 (million)
% 3.26/0.94 % (2654060)Instruction limit reached!
% 3.26/0.94 % (2654060)------------------------------
% 3.26/0.94 % (2654060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654060)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654060)Termination reason: Instruction limit
% 3.26/0.94 % (2654060)Termination phase: Saturation
% 3.26/0.94 % (2654060)Time elapsed: 0.028 s
% 3.26/0.94 % (2654060)Peak memory usage: 12 MB
% 3.26/0.94 % (2654060)Instructions burned: 32 (million)
% 3.26/0.94 % (2653961)Instruction limit reached!
% 3.26/0.94 % (2653961)------------------------------
% 3.26/0.94 % (2653961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2653961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2653961)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2653961)Termination reason: Instruction limit
% 3.26/0.94 % (2653961)Termination phase: Saturation
% 3.26/0.94 % (2653961)Time elapsed: 0.511 s
% 3.26/0.94 % (2653961)Peak memory usage: 14 MB
% 3.26/0.94 % (2653961)Instructions burned: 634 (million)
% 3.26/0.94 % (2654066)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3282938187:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.26/0.94 % (2654068)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4137354896:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 3.26/0.94 % (2654070)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.26/0.94 % (2654061)Instruction limit reached!
% 3.26/0.94 % (2654061)------------------------------
% 3.26/0.94 % (2654061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654061)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654061)Termination reason: Instruction limit
% 3.26/0.94 % (2654061)Termination phase: Saturation
% 3.26/0.94 % (2654061)Time elapsed: 0.066 s
% 3.26/0.94 % (2654061)Peak memory usage: 13 MB
% 3.26/0.94 % (2654061)Instructions burned: 137 (million)
% 3.26/0.94 % (2654066)Instruction limit reached!
% 3.26/0.94 % (2654066)------------------------------
% 3.26/0.94 % (2654066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654066)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654066)Termination reason: Instruction limit
% 3.26/0.94 % (2654066)Termination phase: Saturation
% 3.26/0.94 % (2654066)Time elapsed: 0.025 s
% 3.26/0.94 % (2654066)Peak memory usage: 11 MB
% 3.26/0.94 % (2654066)Instructions burned: 34 (million)
% 3.26/0.94 % (2654070)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=148321181:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.26/0.94 % (2654017) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2653953-2654017"...
% 3.26/0.94 % (2654075)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1846817108:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.26/0.94 % (2654068)Refutation not found, incomplete strategy
% 3.26/0.94 % (2654068)------------------------------
% 3.26/0.94 % (2654068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654068)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654068)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.94 % (2654068)Time elapsed: 0.037 s
% 3.26/0.94 % (2654068)Peak memory usage: 12 MB
% 3.26/0.94 % (2654068)Instructions burned: 45 (million)
% 3.26/0.94 % (2654017)...printing done.
% 3.26/0.94 % (2654068)------------------------------
% 3.26/0.94 % (2654068)------------------------------
% 3.26/0.94 % (2654017)Refutation found. Thanks to Tanya!
% 3.26/0.94 % SZS status Theorem for theBenchmark
% 3.26/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 3.26/0.94 % (2654017)------------------------------
% 3.26/0.94 % (2654017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.94 % (2654017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.94 % (2654017)CaDiCaL version: 2.1.3
% 3.26/0.94 % (2654017)Termination reason: Refutation
% 3.26/0.94 % (2654017)Time elapsed: 0.343 s
% 3.26/0.94 % (2654017)Peak memory usage: 15 MB
% 3.26/0.94 % (2654017)Instructions burned: 390 (million)
% 3.26/0.94 % (2653953)Success in time 0.615 s
% 3.26/0.94 % Vampire exiting
%------------------------------------------------------------------------------