%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL947^10 : 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 : n004.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 08:14:54 AM UTC 2026
% Result : Theorem 3.50s 0.88s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 17
% Syntax : Number of formulae : 162 ( 48 unt; 0 typ; 8 def)
% Number of atoms : 1959 ( 444 equ; 0 cnn)
% Maximal formula atoms : 18 ( 12 avg)
% Number of connectives : 2717 ( 121 ~; 425 |; 3 &;1864 @)
% ( 7 <=>; 177 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 87 usr; 15 con; 0-4 aty)
% ( 120 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 475 ( 0 sgn 232 !; 0 ?; 475 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
eiw_di: $i > mworld > $o ).
thf(func_def_12,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_15,type,
member: $i > $i > mworld > $o ).
thf(func_def_16,type,
subset: $i > $i > mworld > $o ).
thf(func_def_17,type,
union: $i > $i > $i ).
thf(func_def_18,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_24,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_25,type,
vAND: $o > $o > $o ).
thf(func_def_26,type,
vIFF: $o > $o > $o ).
thf(func_def_27,type,
vOR: $o > $o > $o ).
thf(func_def_28,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_29,type,
vIMP: $o > $o > $o ).
thf(func_def_30,type,
vNOT: $o > $o ).
thf(func_def_31,type,
sK0: mworld > $i ).
thf(func_def_32,type,
sF1: $o ).
thf(func_def_33,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
sK2: $i > mworld > $i > mworld ).
thf(func_def_39,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
sK3: $i > mworld > $i > mworld ).
thf(func_def_41,type,
sK4: $i > mworld > $i > mworld ).
thf(func_def_42,type,
sK5: $i > mworld > $i > mworld ).
thf(func_def_43,type,
sK6: $i > mworld > $i > mworld ).
thf(func_def_44,type,
sK7: $i > mworld > $i > $i ).
thf(func_def_45,type,
sK8: $i > mworld > $i > mworld ).
thf(func_def_46,type,
sK9: $i > mworld > $i > mworld ).
thf(func_def_47,type,
sK10: mworld ).
thf(func_def_49,type,
sK12: mworld ).
thf(func_def_50,type,
sK13: $i > mworld > $i > mworld ).
thf(func_def_51,type,
sK14: mworld > $i > $i > mworld ).
thf(func_def_52,type,
sK15: $i > mworld > $i > mworld ).
thf(func_def_53,type,
sK16: $i > mworld > $i > mworld ).
thf(func_def_54,type,
sK17: $i > mworld > $i > mworld ).
thf(func_def_55,type,
sK18: $i > mworld > $i > mworld ).
thf(func_def_56,type,
sK19: $i > mworld > $i > mworld ).
thf(func_def_57,type,
sK20: $i > mworld > $i > mworld ).
thf(func_def_58,type,
sK21: $i > mworld > $i > $i ).
thf(func_def_59,type,
sK22: $i > mworld > $i > mworld ).
thf(func_def_60,type,
sK23: $i > mworld > $i > mworld ).
thf(func_def_61,type,
sK24: $i > mworld > $i > mworld ).
thf(func_def_62,type,
sK25: $i > mworld > $i > mworld ).
thf(func_def_63,type,
sK26: $i > mworld > $i > mworld ).
thf(func_def_64,type,
sK27: $i > mworld > $i > mworld ).
thf(func_def_65,type,
sK28: $i > mworld > $i > mworld ).
thf(func_def_66,type,
sK29: $i > mworld > $i > mworld ).
thf(func_def_67,type,
sK30: $i > mworld > $i > mworld ).
thf(func_def_68,type,
sK31: mworld > $i > $i > mworld ).
thf(func_def_69,type,
sK32: $i > mworld > $i > mworld ).
thf(func_def_70,type,
sK33: $i > mworld > $i > mworld ).
thf(func_def_71,type,
sK34: mworld > $i > $i > mworld ).
thf(func_def_72,type,
sK35: $i > mworld > $i > mworld ).
thf(func_def_73,type,
sK36: $i > mworld > $i > mworld ).
thf(func_def_74,type,
sK37: $i > mworld > $i > mworld ).
thf(func_def_75,type,
sK38: mworld > $i > $i > mworld ).
thf(func_def_76,type,
sK39: $i > mworld > $i > mworld ).
thf(func_def_77,type,
sK40: $i > mworld > $i > $i > mworld ).
thf(func_def_78,type,
sK41: mworld > $i > $i > mworld ).
thf(func_def_79,type,
sK42: mworld > $i > $i > mworld ).
thf(func_def_80,type,
sK43: mworld > $i > $i > mworld ).
thf(func_def_81,type,
sK44: $i > mworld > $i > mworld ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_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(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f10,axiom,
! [X2: mworld,X1: mworld,X0: mworld] :
( ( ( mrel @ X1 @ X2 )
& ( mrel @ X0 @ X1 ) )
=> ( mrel @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).
thf(f12,axiom,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f23,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ X0 @ X1 ) ) @ ( mbox @ ( qmltpeq @ ( union @ X0 @ X1 ) @ X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).
thf(f28,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( subset @ X0 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
thf(f30,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( qmltpeq @ ( union @ X0 @ X0 ) @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_union) ).
thf(f31,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( qmltpeq @ ( union @ X0 @ X0 ) @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f42,plain,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( qmltpeq @ ( union @ X0 @ X0 ) @ X0 ) ) ) ) ),
inference(rectify,[],[f31]) ).
thf(f43,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f44,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X1 @ X0 )
& ( mrel @ X2 @ X1 ) )
=> ( mrel @ X2 @ X0 ) ),
inference(rectify,[],[f10]) ).
thf(f45,plain,
! [X1: mworld,X0: mworld,X2: mworld] :
( ( ( ( mrel @ X2 @ X1 )
= $true )
& ( $true
= ( mrel @ X1 @ X0 ) ) )
=> ( $true
= ( mrel @ X2 @ X0 ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f52,plain,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f53,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f56,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f57,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f72,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f73,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f74,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f75,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ X0 @ X1 ) ) @ ( mbox @ ( qmltpeq @ ( union @ X0 @ X1 ) @ X1 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f23]) ).
thf(f76,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ Y0 @ Y1 ) ) @ ( mbox @ ( qmltpeq @ ( union @ Y0 @ Y1 ) @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f75]) ).
thf(f77,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( subset @ X0 @ X0 ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f78,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( subset @ Y0 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f77]) ).
thf(f85,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f86,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f85]) ).
thf(f91,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ) ),
inference(flattening,[],[f43]) ).
thf(f92,plain,
! [X1: mworld,X0: mworld,X2: mworld] :
( ( $true
= ( mrel @ X2 @ X0 ) )
| ( ( mrel @ X2 @ X1 )
!= $true )
| ( $true
!= ( mrel @ X1 @ X0 ) ) ),
inference(ennf_transformation,[],[f45]) ).
thf(f93,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( $true
= ( mrel @ X2 @ X0 ) )
| ( $true
!= ( mrel @ X1 @ X0 ) )
| ( ( mrel @ X2 @ X1 )
!= $true ) ),
inference(flattening,[],[f92]) ).
thf(f94,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X0 @ X1 )
= $true )
| ( ( mrel @ X2 @ X1 )
!= $true )
| ( ( mrel @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f93]) ).
thf(f96,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f104,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ Y0 @ Y1 ) ) @ ( mbox @ ( qmltpeq @ ( union @ Y0 @ Y1 ) @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f76]) ).
thf(f105,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f106,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( ( mrel @ X2 @ X1 )
!= $true )
| ( ( mrel @ X0 @ X2 )
!= $true )
| ( ( mrel @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f111,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f91]) ).
thf(f116,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( subset @ Y0 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f78]) ).
thf(f119,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f121,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f74]) ).
thf(f122,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f86]) ).
thf(f132,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( subset @ Y0 @ Y1 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( qmltpeq @ ( union @ Y0 @ Y1 ) @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f104,f121,f105,f96,f105,f96,f105,f119,f105,f105]) ).
thf(f135,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f111,f121,f105,f96,f105]) ).
thf(f139,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( subset @ Y0 @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f116,f121,f105,f96,f105]) ).
thf(f145,definition,
( sF1
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f146,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) )
= sF1 ),
inference(reorient_equations,[],[f145]) ).
thf(f147,plain,
$true != sF1,
inference(definition_folding,[],[f135,f146]) ).
thf(f259,plain,
( ( $true = sF1 )
| ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 ) ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f146]) ).
thf(f260,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( qmltpeq @ ( union @ Y1 @ Y1 ) @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f259]) ).
thf(f261,plain,
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( qmltpeq @ ( union @ Y1 @ Y1 ) @ Y1 @ Y2 ) ) ) ) ) )
@ sK10 )
= $false )
| ( $true = sF1 ) ),
inference(sigma_proxy_clausification,[],[f260]) ).
thf(f262,plain,
( ( ( ( mrel @ mactual @ sK10 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK10 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK10 @ Y1 )
=> ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f261]) ).
thf(f263,plain,
( ( $true = sF1 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK10 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK10 @ Y1 )
=> ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f262]) ).
thf(f264,plain,
( ( $true = sF1 )
| ( $true
= ( mrel @ mactual @ sK10 ) ) ),
inference(imp_proxy_clausification,[],[f262]) ).
thf(f265,plain,
( ( $true = sF1 )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK10 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK10 @ Y1 )
=> ( qmltpeq @ ( union @ Y0 @ Y0 ) @ Y0 @ Y1 ) ) ) )
@ sK11 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f263]) ).
thf(f266,plain,
( ( $true = sF1 )
| ( ( ( eiw_di @ sK11 @ sK10 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK10 @ Y0 )
=> ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ Y0 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f265]) ).
thf(f267,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK10 @ Y0 )
=> ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ Y0 ) ) )
= $false )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f266]) ).
thf(f268,plain,
( ( $true = sF1 )
| ( $true
= ( eiw_di @ sK11 @ sK10 ) ) ),
inference(imp_proxy_clausification,[],[f266]) ).
thf(f269,plain,
( ( $true = sF1 )
| ( ( ^ [Y0: mworld] :
( ( mrel @ sK10 @ Y0 )
=> ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ Y0 ) )
@ sK12 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f267]) ).
thf(f270,plain,
( ( $true = sF1 )
| ( ( ( mrel @ sK10 @ sK12 )
=> ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ sK12 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f271,plain,
( ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ sK12 )
= $false )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f270]) ).
thf(f272,plain,
( ( $true = sF1 )
| ( ( mrel @ sK10 @ sK12 )
= $true ) ),
inference(imp_proxy_clausification,[],[f270]) ).
thf(f318,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( subset @ Y1 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f319,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( subset @ Y1 @ Y1 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f318]) ).
thf(f320,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( subset @ Y0 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f319]) ).
thf(f321,plain,
! [X1: mworld] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( subset @ Y0 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f320]) ).
thf(f322,plain,
! [X2: $i,X1: mworld] :
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( subset @ Y0 @ Y0 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f321]) ).
thf(f323,plain,
! [X2: $i,X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( ( ( eiw_di @ X2 @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( subset @ X2 @ X2 @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f322]) ).
thf(f324,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( subset @ X2 @ X2 @ Y0 ) ) ) )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f323]) ).
thf(f325,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( subset @ X2 @ X2 @ Y0 ) )
@ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f324]) ).
thf(f326,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $true
= ( ( mrel @ X1 @ X3 )
=> ( subset @ X2 @ X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f325]) ).
thf(f327,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( subset @ X2 @ X2 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f326]) ).
thf(f656,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subset @ Y1 @ Y3 @ Y5 ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ ( union @ Y1 @ Y3 ) @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f657,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subset @ Y1 @ Y3 @ Y5 ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ ( union @ Y1 @ Y3 ) @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f656]) ).
thf(f658,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subset @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ ( union @ Y0 @ Y2 ) @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f657]) ).
thf(f659,plain,
! [X1: mworld] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subset @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ ( union @ Y0 @ Y2 ) @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f658]) ).
thf(f660,plain,
! [X2: $i,X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subset @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ ( union @ Y0 @ Y2 ) @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f659]) ).
thf(f661,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( ( eiw_di @ X2 @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subset @ X2 @ Y1 @ Y3 ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ ( union @ X2 @ Y1 ) @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f660]) ).
thf(f662,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subset @ X2 @ Y1 @ Y3 ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ ( union @ X2 @ Y1 ) @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f661]) ).
thf(f663,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subset @ X2 @ Y1 @ Y3 ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ ( union @ X2 @ Y1 ) @ Y1 @ Y3 ) ) ) ) ) ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f662]) ).
thf(f664,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ X1 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X3 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subset @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( union @ X2 @ Y0 ) @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f663]) ).
thf(f665,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X3 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subset @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( union @ X2 @ Y0 ) @ Y0 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f664]) ).
thf(f666,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X3 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subset @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( union @ X2 @ Y0 ) @ Y0 @ Y2 ) ) ) ) ) ) )
@ X4 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f665]) ).
thf(f667,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $true
= ( ( eiw_di @ X4 @ X3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subset @ X2 @ X4 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y1 ) ) ) ) ) ) ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false ) ),
inference(beta-eta_normalization,[],[f666]) ).
thf(f668,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subset @ X2 @ X4 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f667]) ).
thf(f669,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subset @ X2 @ X4 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y1 ) ) ) ) )
@ X5 ) )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f668]) ).
thf(f670,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( ( ( mrel @ X3 @ X5 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subset @ X2 @ X4 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y0 ) ) ) ) )
= $true )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ X1 @ X3 )
= $false ) ),
inference(beta-eta_normalization,[],[f669]) ).
thf(f671,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subset @ X2 @ X4 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y0 ) ) ) )
= $true )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f670]) ).
thf(f672,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subset @ X2 @ X4 @ Y0 ) ) )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y0 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f671]) ).
thf(f673,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subset @ X2 @ X4 @ Y0 ) )
@ ( sK36 @ X4 @ X5 @ X2 ) )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y0 ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f672]) ).
thf(f674,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X3 @ X5 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subset @ X2 @ X4 @ Y0 ) )
@ ( sK36 @ X4 @ X5 @ X2 ) )
= $false )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ Y0 ) )
@ X6 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) ) ),
inference(pi_proxy_clausification,[],[f673]) ).
thf(f675,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( ( mrel @ X5 @ ( sK36 @ X4 @ X5 @ X2 ) )
=> ( subset @ X2 @ X4 @ ( sK36 @ X4 @ X5 @ X2 ) ) )
= $false )
| ( ( ( mrel @ X5 @ X6 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ X6 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f674]) ).
thf(f676,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( ( mrel @ X5 @ X6 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ X6 ) )
= $true )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( subset @ X2 @ X4 @ ( sK36 @ X4 @ X5 @ X2 ) )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f675]) ).
thf(f677,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( ( mrel @ X5 @ X6 )
=> ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ X6 ) )
= $true )
| ( ( mrel @ X5 @ ( sK36 @ X4 @ X5 @ X2 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f675]) ).
thf(f678,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X5 @ ( sK36 @ X4 @ X5 @ X2 ) )
= $true )
| ( ( mrel @ X5 @ X6 )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ X6 )
= $true )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( mrel @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f677]) ).
thf(f679,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( subset @ X2 @ X4 @ ( sK36 @ X4 @ X5 @ X2 ) )
= $false )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( ( mrel @ X5 @ X6 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( mrel @ mactual @ X1 )
= $false )
| ( $false
= ( eiw_di @ X4 @ X3 ) )
| ( ( qmltpeq @ ( union @ X2 @ X4 ) @ X4 @ X6 )
= $true ) ),
inference(imp_proxy_clausification,[],[f676]) ).
thf(f832,definition,
( spl45_1
<=> ( $true
= ( mrel @ mactual @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).
thf(f834,plain,
( ( $true
= ( mrel @ mactual @ sK10 ) )
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f832]) ).
thf(f836,definition,
( spl45_2
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).
thf(f839,plain,
( spl45_1
| spl45_2 ),
inference(avatar_split_clause,[],[f264,f836,f832]) ).
thf(f841,definition,
( spl45_3
<=> ( $true
= ( eiw_di @ sK11 @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl45_3])],[avatar_definition]) ).
thf(f843,plain,
( ( $true
= ( eiw_di @ sK11 @ sK10 ) )
| ~ spl45_3 ),
inference(avatar_component_clause,[],[f841]) ).
thf(f844,plain,
( spl45_3
| spl45_2 ),
inference(avatar_split_clause,[],[f268,f836,f841]) ).
thf(f846,definition,
( spl45_4
<=> ( ( mrel @ sK10 @ sK12 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition]) ).
thf(f848,plain,
( ( ( mrel @ sK10 @ sK12 )
= $true )
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f849,plain,
( spl45_2
| spl45_4 ),
inference(avatar_split_clause,[],[f272,f846,f836]) ).
thf(f851,definition,
( spl45_5
<=> ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ sK12 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl45_5])],[avatar_definition]) ).
thf(f853,plain,
( ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ sK12 )
= $false )
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f851]) ).
thf(f854,plain,
( spl45_2
| spl45_5 ),
inference(avatar_split_clause,[],[f271,f851,f836]) ).
thf(f863,plain,
~ spl45_2,
inference(avatar_split_clause,[],[f147,f836]) ).
thf(f930,plain,
! [X2: $i,X3: mworld,X0: mworld,X1: $i,X6: mworld,X4: mworld,X5: mworld] :
( ( ( mrel @ X3 @ ( sK36 @ X1 @ X0 @ X2 ) )
= $true )
| ( $true != $true )
| ( ( mrel @ X5 @ X6 )
= $false )
| ( ( eiw_di @ X2 @ X5 )
= $false )
| ( ( mrel @ mactual @ X5 )
= $false )
| ( $true
!= ( mrel @ X3 @ X0 ) )
| ( ( eiw_di @ X1 @ X6 )
= $false )
| ( ( qmltpeq @ ( union @ X2 @ X1 ) @ X1 @ X4 )
= $true )
| ( $false
= ( mrel @ X0 @ X4 ) )
| ( ( mrel @ X6 @ X0 )
= $false ) ),
inference(superposition,[],[f106,f678]) ).
thf(f934,plain,
! [X2: $i,X3: mworld,X0: mworld,X1: $i,X6: mworld,X4: mworld,X5: mworld] :
( ( $true
!= ( mrel @ X3 @ X0 ) )
| ( ( eiw_di @ X1 @ X6 )
= $false )
| ( ( mrel @ mactual @ X5 )
= $false )
| ( ( mrel @ X6 @ X0 )
= $false )
| ( ( eiw_di @ X2 @ X5 )
= $false )
| ( ( mrel @ X3 @ ( sK36 @ X1 @ X0 @ X2 ) )
= $true )
| ( ( mrel @ X5 @ X6 )
= $false )
| ( ( qmltpeq @ ( union @ X2 @ X1 ) @ X1 @ X4 )
= $true )
| ( $false
= ( mrel @ X0 @ X4 ) ) ),
inference(trivial_inequality_removal,[],[f930]) ).
thf(f967,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld,X5: mworld] :
( ( ( mrel @ X3 @ X5 )
= $false )
| ( ( eiw_di @ X0 @ X3 )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( eiw_di @ X0 @ X2 )
= $false )
| ( ( mrel @ X1 @ X4 )
= $false )
| ( $false
= ( mrel @ X2 @ ( sK36 @ X0 @ X1 @ X0 ) ) )
| ( ( eiw_di @ X0 @ X5 )
= $false )
| ( $true
= ( qmltpeq @ ( union @ X0 @ X0 ) @ X0 @ X4 ) )
| ( ( mrel @ X5 @ X1 )
= $false )
| ( ( mrel @ mactual @ X3 )
= $false )
| ( $true = $false ) ),
inference(superposition,[],[f327,f679]) ).
thf(f968,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld,X5: mworld] :
( ( $true
= ( qmltpeq @ ( union @ X0 @ X0 ) @ X0 @ X4 ) )
| ( ( mrel @ mactual @ X3 )
= $false )
| ( ( mrel @ X1 @ X4 )
= $false )
| ( ( mrel @ X5 @ X1 )
= $false )
| ( ( eiw_di @ X0 @ X3 )
= $false )
| ( ( eiw_di @ X0 @ X2 )
= $false )
| ( $false
= ( mrel @ X2 @ ( sK36 @ X0 @ X1 @ X0 ) ) )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( mrel @ X3 @ X5 )
= $false )
| ( ( eiw_di @ X0 @ X5 )
= $false ) ),
inference(trivial_inequality_removal,[],[f967]) ).
thf(f1379,plain,
( ! [X2: mworld,X3: $i,X0: $i,X1: mworld,X4: mworld] :
( ( ( mrel @ sK12 @ X4 )
= $false )
| ( ( mrel @ sK10 @ ( sK36 @ X0 @ sK12 @ X3 ) )
= $true )
| ( ( mrel @ X2 @ X1 )
= $false )
| ( $true != $true )
| ( ( eiw_di @ X3 @ X2 )
= $false )
| ( ( qmltpeq @ ( union @ X3 @ X0 ) @ X0 @ X4 )
= $true )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( eiw_di @ X0 @ X1 )
= $false ) )
| ~ spl45_4 ),
inference(superposition,[],[f934,f848]) ).
thf(f1389,plain,
( ! [X2: mworld,X3: $i,X0: $i,X1: mworld,X4: mworld] :
( ( ( mrel @ sK10 @ ( sK36 @ X0 @ sK12 @ X3 ) )
= $true )
| ( ( qmltpeq @ ( union @ X3 @ X0 ) @ X0 @ X4 )
= $true )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( eiw_di @ X0 @ X1 )
= $false )
| ( ( mrel @ X2 @ X1 )
= $false )
| ( ( mrel @ sK12 @ X4 )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( eiw_di @ X3 @ X2 )
= $false ) )
| ~ spl45_4 ),
inference(trivial_inequality_removal,[],[f1379]) ).
thf(f1650,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld] :
( ( $true = $false )
| ( ( mrel @ mactual @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ X0 @ X2 )
= $false )
| ( ( eiw_di @ sK11 @ X2 )
= $false )
| ( ( mrel @ X2 @ X1 )
= $false )
| ( ( mrel @ X3 @ ( sK36 @ sK11 @ X1 @ sK11 ) )
= $false ) )
| ~ spl45_5 ),
inference(superposition,[],[f968,f853]) ).
thf(f1661,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld] :
( ( ( mrel @ X3 @ ( sK36 @ sK11 @ X1 @ sK11 ) )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ mactual @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X2 )
= $false )
| ( ( mrel @ X0 @ X2 )
= $false )
| ( ( mrel @ X2 @ X1 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false ) )
| ~ spl45_5 ),
inference(trivial_inequality_removal,[],[f1650]) ).
thf(f1667,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ mactual @ X4 )
= $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( mrel @ sK12 @ sK12 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) ) )
| ~ spl45_4
| ~ spl45_5 ),
inference(superposition,[],[f1661,f1389]) ).
thf(f1688,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ mactual @ X4 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ sK12 @ sK12 )
= $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false ) )
| ~ spl45_4
| ~ spl45_5 ),
inference(trivial_inequality_removal,[],[f1667]) ).
thf(f1703,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ X3 @ sK12 )
= $false ) )
| ~ spl45_4
| ~ spl45_5 ),
inference(forward_demodulation,[],[f1688,f122]) ).
thf(f1704,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ sK12 @ X2 )
= $false ) )
| ~ spl45_4
| ~ spl45_5 ),
inference(trivial_inequality_removal,[],[f1703]) ).
thf(f1723,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( $true = $false )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) )
| ( ( mrel @ X4 @ X3 )
= $false ) )
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5 ),
inference(forward_demodulation,[],[f1704,f843]) ).
thf(f1724,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ sK10 ) )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false ) )
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5 ),
inference(trivial_inequality_removal,[],[f1723]) ).
thf(f1737,definition,
( spl45_12
<=> ! [X0: mworld] :
( ( ( mrel @ sK12 @ X0 )
= $false )
| ( $true
= ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl45_12])],[avatar_definition]) ).
thf(f1738,plain,
( ! [X0: mworld] :
( ( $true
= ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X0 ) )
| ( ( mrel @ sK12 @ X0 )
= $false ) )
| ~ spl45_12 ),
inference(avatar_component_clause,[],[f1737]) ).
thf(f1740,definition,
( spl45_13
<=> ! [X4: mworld,X3: mworld] :
( ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ X4 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( mrel @ mactual @ X3 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl45_13])],[avatar_definition]) ).
thf(f1741,plain,
( ! [X3: mworld,X4: mworld] :
( ( ( mrel @ mactual @ X3 )
= $false )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( mrel @ X4 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false ) )
| ~ spl45_13 ),
inference(avatar_component_clause,[],[f1740]) ).
thf(f1745,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( $true = $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( mrel @ X4 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false ) )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5 ),
inference(forward_demodulation,[],[f1724,f834]) ).
thf(f1746,plain,
( ! [X2: mworld,X3: mworld,X0: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ X4 @ X3 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( mrel @ X3 @ sK12 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( ( eiw_di @ sK11 @ X4 )
= $false )
| ( ( qmltpeq @ ( union @ sK11 @ sK11 ) @ sK11 @ X2 )
= $true )
| ( ( mrel @ X1 @ sK12 )
= $false )
| ( ( eiw_di @ sK11 @ X1 )
= $false )
| ( ( mrel @ sK12 @ X2 )
= $false )
| ( ( eiw_di @ sK11 @ X3 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false ) )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5 ),
inference(trivial_inequality_removal,[],[f1745]) ).
thf(f1750,plain,
( spl45_12
| spl45_13
| spl45_13
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5 ),
inference(avatar_split_clause,[],[f1746,f851,f846,f841,f832,f1740,f1740,f1737]) ).
thf(f1755,plain,
( ( ( mrel @ sK12 @ sK12 )
= $false )
| ( $true = $false )
| ~ spl45_5
| ~ spl45_12 ),
inference(superposition,[],[f853,f1738]) ).
thf(f1764,plain,
( ( ( mrel @ sK12 @ sK12 )
= $false )
| ~ spl45_5
| ~ spl45_12 ),
inference(trivial_inequality_removal,[],[f1755]) ).
thf(f1770,plain,
( ( $true = $false )
| ~ spl45_5
| ~ spl45_12 ),
inference(forward_demodulation,[],[f1764,f122]) ).
thf(f1771,plain,
( $false
| ~ spl45_5
| ~ spl45_12 ),
inference(trivial_inequality_removal,[],[f1770]) ).
thf(f1772,plain,
( ~ spl45_5
| ~ spl45_12 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
thf(f1806,plain,
( ! [X0: mworld] :
( ( ( mrel @ sK10 @ X0 )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( $false
= ( mrel @ X0 @ sK12 ) ) )
| ~ spl45_1
| ~ spl45_13 ),
inference(superposition,[],[f834,f1741]) ).
thf(f1865,plain,
( ! [X0: mworld] :
( ( ( mrel @ sK10 @ X0 )
= $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( $false
= ( mrel @ X0 @ sK12 ) )
| ( ( eiw_di @ sK11 @ sK10 )
= $false ) )
| ~ spl45_1
| ~ spl45_13 ),
inference(trivial_inequality_removal,[],[f1806]) ).
thf(f1898,plain,
( ! [X0: mworld] :
( ( ( mrel @ sK10 @ X0 )
= $false )
| ( $false
= ( mrel @ X0 @ sK12 ) )
| ( $true = $false )
| ( ( eiw_di @ sK11 @ X0 )
= $false ) )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_13 ),
inference(forward_demodulation,[],[f1865,f843]) ).
thf(f1899,plain,
( ! [X0: mworld] :
( ( $false
= ( mrel @ X0 @ sK12 ) )
| ( ( eiw_di @ sK11 @ X0 )
= $false )
| ( ( mrel @ sK10 @ X0 )
= $false ) )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_13 ),
inference(trivial_inequality_removal,[],[f1898]) ).
thf(f1946,plain,
( ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ( $true = $false )
| ( ( mrel @ sK10 @ sK10 )
= $false )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(superposition,[],[f848,f1899]) ).
thf(f1948,plain,
( ( ( mrel @ sK10 @ sK10 )
= $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(trivial_inequality_removal,[],[f1946]) ).
thf(f1953,plain,
( ( $true = $false )
| ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(forward_demodulation,[],[f1948,f122]) ).
thf(f1954,plain,
( ( ( eiw_di @ sK11 @ sK10 )
= $false )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(trivial_inequality_removal,[],[f1953]) ).
thf(f1958,plain,
( ( $true = $false )
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(superposition,[],[f843,f1954]) ).
thf(f1961,plain,
( $false
| ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(trivial_inequality_removal,[],[f1958]) ).
thf(f1962,plain,
( ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
cnf(s1,plain,
( spl45_1
| spl45_2 ),
inference(sat_conversion,[],[f839]) ).
cnf(s2,plain,
( spl45_2
| spl45_3 ),
inference(sat_conversion,[],[f844]) ).
cnf(s3,plain,
( spl45_2
| spl45_4 ),
inference(sat_conversion,[],[f849]) ).
cnf(s4,plain,
( spl45_2
| spl45_5 ),
inference(sat_conversion,[],[f854]) ).
cnf(s6,plain,
~ spl45_2,
inference(sat_conversion,[],[f863]) ).
cnf(s18,plain,
( spl45_13
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5
| spl45_12
| ~ spl45_1
| spl45_13 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s19,plain,
( ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_5
| spl45_12
| spl45_13 ),
inference(rat,[],[s18]) ).
cnf(s21,plain,
( ~ spl45_5
| ~ spl45_12 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s28,plain,
( ~ spl45_1
| ~ spl45_3
| ~ spl45_4
| ~ spl45_13 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s29,plain,
spl45_5,
inference(rat,[],[s4,s6]) ).
cnf(s30,plain,
~ spl45_12,
inference(rat,[],[s21,s29]) ).
cnf(s31,plain,
spl45_4,
inference(rat,[],[s3,s6]) ).
cnf(s32,plain,
spl45_3,
inference(rat,[],[s2,s6]) ).
cnf(s33,plain,
spl45_1,
inference(rat,[],[s1,s6]) ).
cnf(s34,plain,
~ spl45_13,
inference(rat,[],[s28,s32,s31,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s19,s32,s30,s29,s31,s34,s33]) ).
thf(f1963,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL947^10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.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 10:46:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.20/0.34 % (1134999)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.34 % (1135006)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=624211134:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.34 % (1135006)Instruction limit reached!
% 0.20/0.34 % (1135006)------------------------------
% 0.20/0.34 % (1135006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1135006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1135006)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1135006)Termination reason: Instruction limit
% 0.20/0.34 % (1135006)Termination phase: Property scanning
% 0.20/0.34 % (1135006)Time elapsed: 0.002 s
% 0.20/0.34 % (1135006)Peak memory usage: 10 MB
% 0.20/0.34 % (1135006)Instructions burned: 9 (million)
% 0.20/0.34 % (1135005)lrs+10_16_si=on:nwc=1.5:random_seed=4220968126:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.34 % (1135004)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3207294415:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.34 % (1135007)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=4160705754: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)
% 0.20/0.34 % (1135008)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3570149565:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.34 % (1135009)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=146151409:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.34 % (1135010)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.34 % (1135010)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
% 0.20/0.34 % (1135005)Instruction limit reached!
% 0.20/0.34 % (1135005)------------------------------
% 0.20/0.34 % (1135005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1135010)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=888205992:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.34 % (1135005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1135005)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1135005)Termination reason: Instruction limit
% 0.20/0.34 % (1135005)Termination phase: Property scanning
% 0.20/0.34 % (1135005)Time elapsed: 0.008 s
% 0.20/0.34 % (1135005)Peak memory usage: 10 MB
% 0.20/0.34 % (1135005)Instructions burned: 19 (million)
% 0.20/0.34 % (1135008)Instruction limit reached!
% 0.20/0.34 % (1135008)------------------------------
% 0.20/0.34 % (1135008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1135008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1135008)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1135008)Termination reason: Instruction limit
% 0.20/0.34 % (1135008)Termination phase: Saturation
% 0.20/0.34 % (1135008)Time elapsed: 0.013 s
% 0.20/0.34 % (1135008)Peak memory usage: 12 MB
% 0.20/0.34 % (1135008)Instructions burned: 25 (million)
% 0.20/0.34 % (1135012)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4081599304:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.34 % (1135012)Instruction limit reached!
% 0.20/0.34 % (1135012)------------------------------
% 0.20/0.34 % (1135012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1135012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1135012)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1135012)Termination reason: Instruction limit
% 0.20/0.34 % (1135012)Termination phase: shuffling
% 0.20/0.34 % (1135012)Time elapsed: 0.001 s
% 0.20/0.34 % (1135012)Peak memory usage: 9 MB
% 0.20/0.34 % (1135012)Instructions burned: 2 (million)
% 0.20/0.34 % (1135009)Instruction limit reached!
% 0.20/0.34 % (1135009)------------------------------
% 0.20/0.34 % (1135009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135009)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135009)Termination reason: Instruction limit
% 0.20/0.36 % (1135009)Termination phase: Saturation
% 0.20/0.36 % (1135009)Time elapsed: 0.017 s
% 0.20/0.36 % (1135009)Peak memory usage: 12 MB
% 0.20/0.36 % (1135009)Instructions burned: 79 (million)
% 0.20/0.36 % (1135019)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3766529438:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.36 % (1135023)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
% 0.20/0.36 % (1135023)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (1135020)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (1135023)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2370530929:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.36 % (1135019)Instruction limit reached!
% 0.20/0.36 % (1135019)------------------------------
% 0.20/0.36 % (1135019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135019)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135019)Termination reason: Instruction limit
% 0.20/0.36 % (1135019)Termination phase: Property scanning
% 0.20/0.36 % (1135019)Time elapsed: 0.002 s
% 0.20/0.36 % (1135019)Peak memory usage: 10 MB
% 0.20/0.36 % (1135019)Instructions burned: 6 (million)
% 0.20/0.36 % (1135020)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2744109334:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.36 % (1135022)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3933018863:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.36 % (1135020)Instruction limit reached!
% 0.20/0.36 % (1135020)------------------------------
% 0.20/0.36 % (1135020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135020)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135020)Termination reason: Instruction limit
% 0.20/0.36 % (1135020)Termination phase: Property scanning
% 0.20/0.36 % (1135020)Time elapsed: 0.003 s
% 0.20/0.36 % (1135020)Peak memory usage: 10 MB
% 0.20/0.36 % (1135020)Instructions burned: 8 (million)
% 0.20/0.36 % (1135023)Instruction limit reached!
% 0.20/0.36 % (1135023)------------------------------
% 0.20/0.36 % (1135023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135023)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135023)Termination reason: Instruction limit
% 0.20/0.36 % (1135023)Termination phase: Saturation
% 0.20/0.36 % (1135023)Time elapsed: 0.007 s
% 0.20/0.36 % (1135023)Peak memory usage: 11 MB
% 0.20/0.36 % (1135023)Instructions burned: 32 (million)
% 0.20/0.36 % (1135004)Instruction limit reached!
% 0.20/0.36 % (1135004)------------------------------
% 0.20/0.36 % (1135004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135004)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135004)Termination reason: Instruction limit
% 0.20/0.36 % (1135004)Termination phase: Saturation
% 0.20/0.36 % (1135004)Time elapsed: 0.037 s
% 0.20/0.36 % (1135004)Peak memory usage: 12 MB
% 0.20/0.36 % (1135004)Instructions burned: 89 (million)
% 0.20/0.36 % (1135022)Instruction limit reached!
% 0.20/0.36 % (1135022)------------------------------
% 0.20/0.36 % (1135022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1135022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1135022)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1135022)Termination reason: Instruction limit
% 0.96/0.39 % (1135022)Termination phase: Function definition elimination
% 0.96/0.39 % (1135022)Time elapsed: 0.006 s
% 0.96/0.39 % (1135022)Peak memory usage: 10 MB
% 0.96/0.39 % (1135022)Instructions burned: 15 (million)
% 0.96/0.39 % (1135029)lrs+10_1_si=on:cs=on:random_seed=3102720835:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.96/0.39 % (1135026)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=3258334905:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.96/0.39 % (1135029)Instruction limit reached!
% 0.96/0.39 % (1135029)------------------------------
% 0.96/0.39 % (1135029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1135029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1135029)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1135029)Termination reason: Instruction limit
% 0.96/0.39 % (1135029)Termination phase: Preprocessing 3
% 0.96/0.39 % (1135029)Time elapsed: 0.002 s
% 0.96/0.39 % (1135029)Peak memory usage: 10 MB
% 0.96/0.39 % (1135029)Instructions burned: 8 (million)
% 0.96/0.39 % (1135030)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.39 % (1135030)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=2700884441:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.39 % (1135031)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2417087292:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.96/0.39 % (1135035)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=497061415:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.96/0.39 % (1135032)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3560012273:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.96/0.39 % (1135030)Instruction limit reached!
% 0.96/0.39 % (1135030)------------------------------
% 0.96/0.39 % (1135030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1135030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1135030)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1135030)Termination reason: Instruction limit
% 0.96/0.39 % (1135030)Termination phase: Property scanning
% 0.96/0.39 % (1135030)Time elapsed: 0.004 s
% 0.96/0.39 % (1135030)Peak memory usage: 10 MB
% 0.96/0.39 % (1135030)Instructions burned: 9 (million)
% 0.96/0.39 % (1135031)Refutation not found, incomplete strategy
% 0.96/0.39 % (1135031)------------------------------
% 0.96/0.39 % (1135031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1135031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1135031)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1135031)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.39 % (1135031)Time elapsed: 0.007 s
% 0.96/0.39 % (1135031)Peak memory usage: 12 MB
% 0.96/0.39 % (1135031)Instructions burned: 14 (million)
% 0.96/0.39 % (1135035)Refutation not found, incomplete strategy
% 0.96/0.39 % (1135035)------------------------------
% 0.96/0.39 % (1135035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1135035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1135035)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1135035)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.39 % (1135035)Time elapsed: 0.004 s
% 0.96/0.39 % (1135035)Peak memory usage: 12 MB
% 0.96/0.39 % (1135035)Instructions burned: 17 (million)
% 0.96/0.39 % (1135035)------------------------------
% 0.96/0.39 % (1135035)------------------------------
% 0.96/0.39 % (1135031)------------------------------
% 0.96/0.39 % (1135031)------------------------------
% 0.96/0.39 % (1135032)Refutation not found, incomplete strategy
% 0.96/0.39 % (1135032)------------------------------
% 0.96/0.39 % (1135032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.39 % (1135032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.39 % (1135032)CaDiCaL version: 2.1.3
% 0.96/0.39 % (1135032)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (1135032)Time elapsed: 0.009 s
% 0.96/0.42 % (1135032)Peak memory usage: 12 MB
% 0.96/0.42 % (1135032)Instructions burned: 12 (million)
% 0.96/0.42 % (1135032)------------------------------
% 0.96/0.42 % (1135032)------------------------------
% 0.96/0.42 % (1135041)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1428614824:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.96/0.42 % (1135010)Instruction limit reached!
% 0.96/0.42 % (1135010)------------------------------
% 0.96/0.42 % (1135010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135010)CaDiCaL version: 2.1.3
% 0.96/0.42 % (1135010)Termination reason: Instruction limit
% 0.96/0.42 % (1135010)Termination phase: Saturation
% 0.96/0.42 % (1135010)Time elapsed: 0.070 s
% 0.96/0.42 % (1135010)Peak memory usage: 13 MB
% 0.96/0.42 % (1135010)Instructions burned: 157 (million)
% 0.96/0.42 % (1135040)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1250504471:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.96/0.42 % (1135041)Refutation not found, incomplete strategy
% 0.96/0.42 % (1135041)------------------------------
% 0.96/0.42 % (1135041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135041)CaDiCaL version: 2.1.3
% 0.96/0.42 % (1135041)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (1135041)Time elapsed: 0.006 s
% 0.96/0.42 % (1135041)Peak memory usage: 12 MB
% 0.96/0.42 % (1135041)Instructions burned: 24 (million)
% 0.96/0.42 % (1135041)------------------------------
% 0.96/0.42 % (1135041)------------------------------
% 0.96/0.42 % (1135040)Instruction limit reached!
% 0.96/0.42 % (1135040)------------------------------
% 0.96/0.42 % (1135040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135040)CaDiCaL version: 2.1.3
% 0.96/0.42 % (1135040)Termination reason: Instruction limit
% 0.96/0.42 % (1135040)Termination phase: Property scanning
% 0.96/0.42 % (1135040)Time elapsed: 0.006 s
% 0.96/0.42 % (1135040)Peak memory usage: 10 MB
% 0.96/0.42 % (1135040)Instructions burned: 15 (million)
% 0.96/0.42 % (1135042)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3523744912:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.96/0.42 % (1135026)Instruction limit reached!
% 0.96/0.42 % (1135026)------------------------------
% 0.96/0.42 % (1135026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135026)CaDiCaL version: 2.1.3
% 0.96/0.42 % (1135026)Termination reason: Instruction limit
% 0.96/0.42 % (1135026)Termination phase: Saturation
% 0.96/0.42 % (1135026)Time elapsed: 0.039 s
% 0.96/0.42 % (1135026)Peak memory usage: 12 MB
% 0.96/0.42 % (1135026)Instructions burned: 87 (million)
% 0.96/0.42 % (1135047)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2674837668:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.96/0.42 % (1135042)Instruction limit reached!
% 0.96/0.42 % (1135042)------------------------------
% 0.96/0.42 % (1135042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135042)CaDiCaL version: 2.1.3
% 0.96/0.42 % (1135042)Termination reason: Instruction limit
% 0.96/0.42 % (1135042)Termination phase: Property scanning
% 0.96/0.42 % (1135042)Time elapsed: 0.006 s
% 0.96/0.42 % (1135042)Peak memory usage: 10 MB
% 0.96/0.42 % (1135042)Instructions burned: 14 (million)
% 0.96/0.42 % (1135044)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1628312214: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)
% 0.96/0.42 % (1135047)Instruction limit reached!
% 0.96/0.42 % (1135047)------------------------------
% 0.96/0.42 % (1135047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (1135047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (1135047)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1135047)Termination reason: Instruction limit
% 0.96/0.45 % (1135047)Termination phase: Saturation
% 0.96/0.45 % (1135047)Time elapsed: 0.005 s
% 0.96/0.45 % (1135047)Peak memory usage: 11 MB
% 0.96/0.45 % (1135047)Instructions burned: 25 (million)
% 0.96/0.45 % (1135044)Instruction limit reached!
% 0.96/0.45 % (1135044)------------------------------
% 0.96/0.45 % (1135044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1135044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1135044)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1135044)Termination reason: Instruction limit
% 0.96/0.45 % (1135044)Termination phase: Property scanning
% 0.96/0.45 % (1135044)Time elapsed: 0.003 s
% 0.96/0.45 % (1135044)Peak memory usage: 9 MB
% 0.96/0.45 % (1135044)Instructions burned: 7 (million)
% 0.96/0.45 % (1135050)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
% 0.96/0.45 % (1135050)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.45 % (1135048)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=372273059:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.96/0.45 % (1135050)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=422938329:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.45 % (1135054)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=4095270820:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.96/0.45 % (1135052)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.45 % (1135050)Instruction limit reached!
% 0.96/0.45 % (1135050)------------------------------
% 0.96/0.45 % (1135050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1135050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1135050)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1135050)Termination reason: Instruction limit
% 0.96/0.45 % (1135050)Termination phase: Property scanning
% 0.96/0.45 % (1135050)Time elapsed: 0.006 s
% 0.96/0.45 % (1135050)Peak memory usage: 10 MB
% 0.96/0.45 % (1135050)Instructions burned: 14 (million)
% 0.96/0.45 % (1135052)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=1396719585:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.45 % (1135046)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=681467748:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.96/0.45 % (1135054)Instruction limit reached!
% 0.96/0.45 % (1135054)------------------------------
% 0.96/0.45 % (1135054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1135054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1135054)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1135054)Termination reason: Instruction limit
% 0.96/0.45 % (1135054)Termination phase: Saturation
% 0.96/0.45 % (1135054)Time elapsed: 0.008 s
% 0.96/0.45 % (1135054)Peak memory usage: 12 MB
% 0.96/0.45 % (1135054)Instructions burned: 31 (million)
% 0.96/0.45 % (1135052)Instruction limit reached!
% 0.96/0.45 % (1135052)------------------------------
% 0.96/0.45 % (1135052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (1135052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (1135052)CaDiCaL version: 2.1.3
% 0.96/0.45 % (1135052)Termination reason: Instruction limit
% 0.96/0.45 % (1135052)Termination phase: Preprocessing 3
% 0.96/0.45 % (1135052)Time elapsed: 0.004 s
% 0.96/0.45 % (1135052)Peak memory usage: 10 MB
% 0.96/0.45 % (1135052)Instructions burned: 10 (million)
% 0.96/0.45 % (1135055)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4030872810:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.96/0.45 % (1135062)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=17423520:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.78/0.50 % (1135055)Instruction limit reached!
% 1.78/0.50 % (1135055)------------------------------
% 1.78/0.50 % (1135055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135055)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135055)Termination reason: Instruction limit
% 1.78/0.50 % (1135055)Termination phase: Preprocessing 3
% 1.78/0.50 % (1135055)Time elapsed: 0.006 s
% 1.78/0.50 % (1135055)Peak memory usage: 10 MB
% 1.78/0.50 % (1135055)Instructions burned: 8 (million)
% 1.78/0.50 % (1135062)Instruction limit reached!
% 1.78/0.50 % (1135062)------------------------------
% 1.78/0.50 % (1135062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135062)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135062)Termination reason: Instruction limit
% 1.78/0.50 % (1135062)Termination phase: Saturation
% 1.78/0.50 % (1135062)Time elapsed: 0.005 s
% 1.78/0.50 % (1135062)Peak memory usage: 12 MB
% 1.78/0.50 % (1135062)Instructions burned: 21 (million)
% 1.78/0.50 % (1135046)Instruction limit reached!
% 1.78/0.50 % (1135046)------------------------------
% 1.78/0.50 % (1135046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135046)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135046)Termination reason: Instruction limit
% 1.78/0.50 % (1135046)Termination phase: Saturation
% 1.78/0.50 % (1135046)Time elapsed: 0.022 s
% 1.78/0.50 % (1135046)Peak memory usage: 11 MB
% 1.78/0.50 % (1135046)Instructions burned: 27 (million)
% 1.78/0.50 % (1135063)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1725046020:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.78/0.50 % (1135048)Instruction limit reached!
% 1.78/0.50 % (1135048)------------------------------
% 1.78/0.50 % (1135048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135048)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135048)Termination reason: Instruction limit
% 1.78/0.50 % (1135048)Termination phase: Saturation
% 1.78/0.50 % (1135048)Time elapsed: 0.032 s
% 1.78/0.50 % (1135048)Peak memory usage: 12 MB
% 1.78/0.50 % (1135048)Instructions burned: 61 (million)
% 1.78/0.50 % (1135061)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3196023190:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.78/0.50 % (1135067)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=212951258:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.78/0.50 % (1135066)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2118650508:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.78/0.50 % (1135067)Refutation not found, incomplete strategy
% 1.78/0.50 % (1135067)------------------------------
% 1.78/0.50 % (1135067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135067)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135067)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.50 % (1135067)Time elapsed: 0.006 s
% 1.78/0.50 % (1135067)Peak memory usage: 12 MB
% 1.78/0.50 % (1135067)Instructions burned: 24 (million)
% 1.78/0.50 % (1135061)Instruction limit reached!
% 1.78/0.50 % (1135061)------------------------------
% 1.78/0.50 % (1135061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (1135061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (1135061)CaDiCaL version: 2.1.3
% 1.78/0.50 % (1135061)Termination reason: Instruction limit
% 1.78/0.50 % (1135061)Termination phase: Property scanning
% 1.78/0.50 % (1135061)Time elapsed: 0.009 s
% 1.78/0.50 % (1135061)Peak memory usage: 10 MB
% 1.78/0.50 % (1135061)Instructions burned: 23 (million)
% 1.78/0.50 % (1135067)------------------------------
% 1.78/0.50 % (1135067)------------------------------
% 1.78/0.50 % (1135070)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.78/0.58 % (1135069)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1399809240:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.78/0.58 % (1135070)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2184719250:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.78/0.58 % (1135070)Instruction limit reached!
% 1.78/0.58 % (1135070)------------------------------
% 1.78/0.58 % (1135070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.58 % (1135070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.58 % (1135070)CaDiCaL version: 2.1.3
% 1.78/0.58 % (1135070)Termination reason: Instruction limit
% 1.78/0.58 % (1135070)Termination phase: Property scanning
% 1.78/0.58 % (1135070)Time elapsed: 0.003 s
% 1.78/0.58 % (1135070)Peak memory usage: 10 MB
% 1.78/0.58 % (1135070)Instructions burned: 8 (million)
% 1.78/0.58 % (1135075)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=3883300964: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)
% 1.78/0.58 % (1135075)Refutation not found, incomplete strategy
% 1.78/0.58 % (1135075)------------------------------
% 1.78/0.58 % (1135075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.58 % (1135075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.58 % (1135075)CaDiCaL version: 2.1.3
% 1.78/0.58 % (1135075)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.58 % (1135075)Time elapsed: 0.005 s
% 1.78/0.58 % (1135075)Peak memory usage: 12 MB
% 1.78/0.58 % (1135075)Instructions burned: 21 (million)
% 1.78/0.58 % (1135075)------------------------------
% 1.78/0.58 % (1135075)------------------------------
% 1.78/0.58 % (1135074)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3784728222:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.78/0.58 % (1135069)Instruction limit reached!
% 1.78/0.58 % (1135069)------------------------------
% 1.78/0.58 % (1135069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.58 % (1135069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.58 % (1135069)CaDiCaL version: 2.1.3
% 1.78/0.58 % (1135069)Termination reason: Instruction limit
% 1.78/0.58 % (1135069)Termination phase: Saturation
% 1.78/0.58 % (1135069)Time elapsed: 0.018 s
% 1.78/0.58 % (1135069)Peak memory usage: 12 MB
% 1.78/0.58 % (1135069)Instructions burned: 44 (million)
% 1.78/0.58 % (1135079)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.78/0.58 % (1135080)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1472542618:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.78/0.58 % (1135074)Refutation not found, incomplete strategy
% 1.78/0.58 % (1135074)------------------------------
% 1.78/0.58 % (1135074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.58 % (1135074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.58 % (1135074)CaDiCaL version: 2.1.3
% 1.78/0.58 % (1135074)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.58 % (1135074)Time elapsed: 0.010 s
% 1.78/0.58 % (1135074)Peak memory usage: 12 MB
% 1.78/0.58 % (1135074)Instructions burned: 22 (million)
% 1.78/0.58 % (1135079)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1648158311:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.78/0.58 % (1135074)------------------------------
% 1.78/0.58 % (1135074)------------------------------
% 1.78/0.58 % (1135080)Instruction limit reached!
% 1.78/0.58 % (1135080)------------------------------
% 1.78/0.58 % (1135080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.58 % (1135080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.58 % (1135080)CaDiCaL version: 2.1.3
% 1.78/0.58 % (1135080)Termination reason: Instruction limit
% 1.78/0.58 % (1135080)Termination phase: Property scanning
% 1.78/0.58 % (1135080)Time elapsed: 0.005 s
% 1.78/0.58 % (1135080)Peak memory usage: 10 MB
% 2.44/0.64 % (1135080)Instructions burned: 24 (million)
% 2.44/0.64 % (1135079)Instruction limit reached!
% 2.44/0.64 % (1135079)------------------------------
% 2.44/0.64 % (1135079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.64 % (1135079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.64 % (1135079)CaDiCaL version: 2.1.3
% 2.44/0.64 % (1135079)Termination reason: Instruction limit
% 2.44/0.64 % (1135079)Termination phase: Property scanning
% 2.44/0.64 % (1135079)Time elapsed: 0.003 s
% 2.44/0.64 % (1135079)Peak memory usage: 9 MB
% 2.44/0.64 % (1135079)Instructions burned: 6 (million)
% 2.44/0.64 % (1135086)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=2272040742: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)
% 2.44/0.64 % (1135082)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4043826790:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.44/0.64 % (1135085)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=3633132441:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.44/0.64 % (1135087)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=4206815106:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.44/0.64 % (1135082)Instruction limit reached!
% 2.44/0.64 % (1135082)------------------------------
% 2.44/0.64 % (1135082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.64 % (1135082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.64 % (1135082)CaDiCaL version: 2.1.3
% 2.44/0.64 % (1135082)Termination reason: Instruction limit
% 2.44/0.64 % (1135082)Termination phase: Property scanning
% 2.44/0.64 % (1135082)Time elapsed: 0.008 s
% 2.44/0.64 % (1135082)Peak memory usage: 10 MB
% 2.44/0.64 % (1135082)Instructions burned: 21 (million)
% 2.44/0.64 % (1135066)Instruction limit reached!
% 2.44/0.64 % (1135066)------------------------------
% 2.44/0.64 % (1135066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.64 % (1135066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.64 % (1135066)CaDiCaL version: 2.1.3
% 2.44/0.64 % (1135066)Termination reason: Instruction limit
% 2.44/0.64 % (1135066)Termination phase: Saturation
% 2.44/0.64 % (1135066)Time elapsed: 0.062 s
% 2.44/0.64 % (1135066)Peak memory usage: 13 MB
% 2.44/0.64 % (1135066)Instructions burned: 143 (million)
% 2.44/0.64 % (1135087)Instruction limit reached!
% 2.44/0.64 % (1135087)------------------------------
% 2.44/0.64 % (1135087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.64 % (1135087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.64 % (1135087)CaDiCaL version: 2.1.3
% 2.44/0.64 % (1135087)Termination reason: Instruction limit
% 2.44/0.64 % (1135087)Termination phase: Saturation
% 2.44/0.64 % (1135087)Time elapsed: 0.019 s
% 2.44/0.64 % (1135087)Peak memory usage: 11 MB
% 2.44/0.64 % (1135087)Instructions burned: 46 (million)
% 2.44/0.64 % (1135092)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4073623615:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.44/0.64 % (1135092)Refutation not found, incomplete strategy
% 2.44/0.64 % (1135092)------------------------------
% 2.44/0.64 % (1135092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.64 % (1135092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.64 % (1135092)CaDiCaL version: 2.1.3
% 2.44/0.64 % (1135092)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.64 % (1135092)Time elapsed: 0.008 s
% 2.44/0.64 % (1135092)Peak memory usage: 12 MB
% 2.44/0.64 % (1135092)Instructions burned: 18 (million)
% 2.44/0.64 % (1135092)------------------------------
% 2.44/0.64 % (1135092)------------------------------
% 2.44/0.64 % (1135093)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4238896322:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 3.16/0.70 % (1135094)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.16/0.70 % (1135094)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1585277430:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 3.16/0.70 % (1135093)Instruction limit reached!
% 3.16/0.70 % (1135093)------------------------------
% 3.16/0.70 % (1135093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135093)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135093)Termination reason: Instruction limit
% 3.16/0.70 % (1135093)Termination phase: Property scanning
% 3.16/0.70 % (1135093)Time elapsed: 0.009 s
% 3.16/0.70 % (1135093)Peak memory usage: 10 MB
% 3.16/0.70 % (1135093)Instructions burned: 23 (million)
% 3.16/0.70 % (1135096)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2759016724:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 3.16/0.70 % (1135096)Instruction limit reached!
% 3.16/0.70 % (1135096)------------------------------
% 3.16/0.70 % (1135096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135096)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135096)Termination reason: Instruction limit
% 3.16/0.70 % (1135096)Termination phase: Property scanning
% 3.16/0.70 % (1135096)Time elapsed: 0.006 s
% 3.16/0.70 % (1135096)Peak memory usage: 11 MB
% 3.16/0.70 % (1135096)Instructions burned: 14 (million)
% 3.16/0.70 % (1135099)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=1536536848:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 3.16/0.70 % (1135101)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3677863307:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 3.16/0.70 % (1135007)Instruction limit reached!
% 3.16/0.70 % (1135007)------------------------------
% 3.16/0.70 % (1135007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135007)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135007)Termination reason: Instruction limit
% 3.16/0.70 % (1135007)Termination phase: Saturation
% 3.16/0.70 % (1135007)Time elapsed: 0.278 s
% 3.16/0.70 % (1135007)Peak memory usage: 14 MB
% 3.16/0.70 % (1135007)Instructions burned: 634 (million)
% 3.16/0.70 % (1135104)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=589751185:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.16/0.70 % (1135101)Instruction limit reached!
% 3.16/0.70 % (1135101)------------------------------
% 3.16/0.70 % (1135101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135101)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135101)Termination reason: Instruction limit
% 3.16/0.70 % (1135101)Termination phase: Saturation
% 3.16/0.70 % (1135101)Time elapsed: 0.022 s
% 3.16/0.70 % (1135101)Peak memory usage: 12 MB
% 3.16/0.70 % (1135101)Instructions burned: 53 (million)
% 3.16/0.70 % (1135099)Instruction limit reached!
% 3.16/0.70 % (1135099)------------------------------
% 3.16/0.70 % (1135099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135099)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135099)Termination reason: Instruction limit
% 3.16/0.70 % (1135099)Termination phase: Saturation
% 3.16/0.70 % (1135099)Time elapsed: 0.045 s
% 3.16/0.70 % (1135099)Peak memory usage: 12 MB
% 3.16/0.70 % (1135099)Instructions burned: 67 (million)
% 3.16/0.70 % (1135104)Instruction limit reached!
% 3.16/0.70 % (1135104)------------------------------
% 3.16/0.70 % (1135104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.70 % (1135104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.70 % (1135104)CaDiCaL version: 2.1.3
% 3.16/0.70 % (1135104)Termination reason: Instruction limit
% 3.16/0.70 % (1135104)Termination phase: Saturation
% 3.16/0.70 % (1135104)Time elapsed: 0.014 s
% 3.16/0.75 % (1135104)Peak memory usage: 11 MB
% 3.16/0.75 % (1135104)Instructions burned: 34 (million)
% 3.16/0.75 % (1135106)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1830424686:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.16/0.75 % (1135094)Instruction limit reached!
% 3.16/0.75 % (1135094)------------------------------
% 3.16/0.75 % (1135094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (1135094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (1135094)CaDiCaL version: 2.1.3
% 3.16/0.75 % (1135094)Termination reason: Instruction limit
% 3.16/0.75 % (1135094)Termination phase: Saturation
% 3.16/0.75 % (1135094)Time elapsed: 0.087 s
% 3.16/0.75 % (1135094)Peak memory usage: 13 MB
% 3.16/0.75 % (1135094)Instructions burned: 201 (million)
% 3.16/0.75 % (1135107)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=1594382022:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.16/0.75 % (1135108)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1197929525:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.16/0.75 % (1135110)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.16/0.75 % (1135107)Instruction limit reached!
% 3.16/0.75 % (1135107)------------------------------
% 3.16/0.75 % (1135107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (1135107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (1135107)CaDiCaL version: 2.1.3
% 3.16/0.75 % (1135107)Termination reason: Instruction limit
% 3.16/0.75 % (1135107)Termination phase: Saturation
% 3.16/0.75 % (1135107)Time elapsed: 0.015 s
% 3.16/0.75 % (1135107)Peak memory usage: 12 MB
% 3.16/0.75 % (1135107)Instructions burned: 36 (million)
% 3.16/0.75 % (1135110)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2121788272:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.16/0.75 % (1135085)Instruction limit reached!
% 3.16/0.75 % (1135085)------------------------------
% 3.16/0.75 % (1135085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (1135085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (1135085)CaDiCaL version: 2.1.3
% 3.16/0.75 % (1135085)Termination reason: Instruction limit
% 3.16/0.75 % (1135085)Termination phase: Saturation
% 3.16/0.75 % (1135085)Time elapsed: 0.154 s
% 3.16/0.75 % (1135085)Peak memory usage: 16 MB
% 3.16/0.75 % (1135085)Instructions burned: 317 (million)
% 3.16/0.75 % (1135108)Instruction limit reached!
% 3.16/0.75 % (1135108)------------------------------
% 3.16/0.75 % (1135108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (1135108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (1135108)CaDiCaL version: 2.1.3
% 3.16/0.75 % (1135108)Termination reason: Instruction limit
% 3.16/0.75 % (1135108)Termination phase: Saturation
% 3.16/0.75 % (1135108)Time elapsed: 0.028 s
% 3.16/0.75 % (1135108)Peak memory usage: 12 MB
% 3.16/0.75 % (1135108)Instructions burned: 67 (million)
% 3.16/0.75 % (1135113)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3347810786:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.16/0.75 % (1135115)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=179608032:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.16/0.75 % (1135113)Refutation not found, incomplete strategy
% 3.16/0.75 % (1135113)------------------------------
% 3.16/0.75 % (1135113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (1135113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (1135113)CaDiCaL version: 2.1.3
% 3.16/0.75 % (1135113)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.75 % (1135113)Time elapsed: 0.009 s
% 3.16/0.75 % (1135113)Peak memory usage: 12 MB
% 3.16/0.75 % (1135113)Instructions burned: 18 (million)
% 3.16/0.75 % (1135113)------------------------------
% 3.16/0.75 % (1135113)------------------------------
% 3.16/0.75 % (1135116)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4168498854:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.50/0.88 % (1135116)Refutation not found, incomplete strategy
% 3.50/0.88 % (1135116)------------------------------
% 3.50/0.88 % (1135116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135116)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135116)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.88 % (1135116)Time elapsed: 0.006 s
% 3.50/0.88 % (1135116)Peak memory usage: 12 MB
% 3.50/0.88 % (1135116)Instructions burned: 12 (million)
% 3.50/0.88 % (1135116)------------------------------
% 3.50/0.88 % (1135116)------------------------------
% 3.50/0.88 % (1135106)Instruction limit reached!
% 3.50/0.88 % (1135106)------------------------------
% 3.50/0.88 % (1135106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135106)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135106)Termination reason: Instruction limit
% 3.50/0.88 % (1135106)Termination phase: Saturation
% 3.50/0.88 % (1135106)Time elapsed: 0.072 s
% 3.50/0.88 % (1135106)Peak memory usage: 13 MB
% 3.50/0.88 % (1135106)Instructions burned: 139 (million)
% 3.50/0.88 % (1135119)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1978943852:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.50/0.88 % (1135121)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3867218904:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.50/0.88 % (1135119)Refutation not found, incomplete strategy
% 3.50/0.88 % (1135119)------------------------------
% 3.50/0.88 % (1135119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135119)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135119)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.88 % (1135119)Time elapsed: 0.011 s
% 3.50/0.88 % (1135119)Peak memory usage: 12 MB
% 3.50/0.88 % (1135119)Instructions burned: 24 (million)
% 3.50/0.88 % (1135119)------------------------------
% 3.50/0.88 % (1135119)------------------------------
% 3.50/0.88 % (1135122)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=364785871:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.50/0.88 % (1135115)Instruction limit reached!
% 3.50/0.88 % (1135115)------------------------------
% 3.50/0.88 % (1135115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135115)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135115)Termination reason: Instruction limit
% 3.50/0.88 % (1135115)Termination phase: Saturation
% 3.50/0.88 % (1135115)Time elapsed: 0.041 s
% 3.50/0.88 % (1135115)Peak memory usage: 12 MB
% 3.50/0.88 % (1135115)Instructions burned: 98 (million)
% 3.50/0.88 % (1135122)Refutation not found, incomplete strategy
% 3.50/0.88 % (1135122)------------------------------
% 3.50/0.88 % (1135122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135122)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135122)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.88 % (1135122)Time elapsed: 0.008 s
% 3.50/0.88 % (1135122)Peak memory usage: 12 MB
% 3.50/0.88 % (1135122)Instructions burned: 17 (million)
% 3.50/0.88 % (1135122)------------------------------
% 3.50/0.88 % (1135122)------------------------------
% 3.50/0.88 % (1135110)Instruction limit reached!
% 3.50/0.88 % (1135110)------------------------------
% 3.50/0.88 % (1135110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135110)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135110)Termination reason: Instruction limit
% 3.50/0.88 % (1135110)Termination phase: Saturation
% 3.50/0.88 % (1135110)Time elapsed: 0.074 s
% 3.50/0.88 % (1135110)Peak memory usage: 13 MB
% 3.50/0.88 % (1135110)Instructions burned: 180 (million)
% 3.50/0.88 % (1135125)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2075136402:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.50/0.88 % (1135127)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2623872075:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.50/0.88 % (1135086)Instruction limit reached!
% 3.50/0.88 % (1135086)------------------------------
% 3.50/0.88 % (1135086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135086)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135086)Termination reason: Instruction limit
% 3.50/0.88 % (1135086)Termination phase: Saturation
% 3.50/0.88 % (1135086)Time elapsed: 0.243 s
% 3.50/0.88 % (1135086)Peak memory usage: 16 MB
% 3.50/0.88 % (1135086)Instructions burned: 855 (million)
% 3.50/0.88 % (1135128)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3445706245:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.50/0.88 % (1135129)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1815097289:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.50/0.88 % (1135127)Refutation not found, incomplete strategy
% 3.50/0.88 % (1135127)------------------------------
% 3.50/0.88 % (1135127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135127)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135127)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.88 % (1135127)Time elapsed: 0.009 s
% 3.50/0.88 % (1135127)Peak memory usage: 12 MB
% 3.50/0.88 % (1135127)Instructions burned: 19 (million)
% 3.50/0.88 % (1135127)------------------------------
% 3.50/0.88 % (1135127)------------------------------
% 3.50/0.88 % (1135125)Instruction limit reached!
% 3.50/0.88 % (1135125)------------------------------
% 3.50/0.88 % (1135125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135125)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135125)Termination reason: Instruction limit
% 3.50/0.88 % (1135125)Termination phase: Saturation
% 3.50/0.88 % (1135125)Time elapsed: 0.018 s
% 3.50/0.88 % (1135125)Peak memory usage: 11 MB
% 3.50/0.88 % (1135125)Instructions burned: 46 (million)
% 3.50/0.88 % (1135132)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2164243125:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.50/0.88 % (1135132)Instruction limit reached!
% 3.50/0.88 % (1135132)------------------------------
% 3.50/0.88 % (1135132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135132)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135132)Termination reason: Instruction limit
% 3.50/0.88 % (1135132)Termination phase: Saturation
% 3.50/0.88 % (1135132)Time elapsed: 0.015 s
% 3.50/0.88 % (1135135)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=233891053:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.50/0.88 % (1135132)Peak memory usage: 12 MB
% 3.50/0.88 % (1135132)Instructions burned: 68 (million)
% 3.50/0.88 % (1135136)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2932447593:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.50/0.88 % (1135139)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=164865555:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.50/0.88 % (1135129)Instruction limit reached!
% 3.50/0.88 % (1135129)------------------------------
% 3.50/0.88 % (1135129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135129)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135129)Termination reason: Instruction limit
% 3.50/0.88 % (1135129)Termination phase: Saturation
% 3.50/0.88 % (1135129)Time elapsed: 0.039 s
% 3.50/0.88 % (1135129)Peak memory usage: 12 MB
% 3.50/0.88 % (1135129)Instructions burned: 95 (million)
% 3.50/0.88 % (1135142)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1524059204:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 3.50/0.88 % (1135135)Instruction limit reached!
% 3.50/0.88 % (1135135)------------------------------
% 3.50/0.88 % (1135135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135135)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135135)Termination reason: Instruction limit
% 3.50/0.88 % (1135135)Termination phase: Saturation
% 3.50/0.88 % (1135135)Time elapsed: 0.048 s
% 3.50/0.88 % (1135135)Peak memory usage: 13 MB
% 3.50/0.88 % (1135135)Instructions burned: 105 (million)
% 3.50/0.88 % (1135144)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=3640381329:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.50/0.88 % (1135144)Instruction limit reached!
% 3.50/0.88 % (1135144)------------------------------
% 3.50/0.88 % (1135144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135144)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135144)Termination reason: Instruction limit
% 3.50/0.88 % (1135144)Termination phase: Saturation
% 3.50/0.88 % (1135144)Time elapsed: 0.014 s
% 3.50/0.88 % (1135144)Peak memory usage: 11 MB
% 3.50/0.88 % (1135144)Instructions burned: 34 (million)
% 3.50/0.88 % (1135146)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2716881489:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 3.50/0.88 % (1135121)Instruction limit reached!
% 3.50/0.88 % (1135121)------------------------------
% 3.50/0.88 % (1135121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135121)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135121)Termination reason: Instruction limit
% 3.50/0.88 % (1135121)Termination phase: Saturation
% 3.50/0.88 % (1135121)Time elapsed: 0.175 s
% 3.50/0.88 % (1135121)Peak memory usage: 13 MB
% 3.50/0.88 % (1135121)Instructions burned: 518 (million)
% 3.50/0.88 % (1135148)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1625949422:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 3.50/0.88 % (1135146)Instruction limit reached!
% 3.50/0.88 % (1135146)------------------------------
% 3.50/0.88 % (1135146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135146)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135146)Termination reason: Instruction limit
% 3.50/0.88 % (1135146)Termination phase: Saturation
% 3.50/0.88 % (1135146)Time elapsed: 0.039 s
% 3.50/0.88 % (1135146)Peak memory usage: 12 MB
% 3.50/0.88 % (1135146)Instructions burned: 93 (million)
% 3.50/0.88 % (1135128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1134999-1135128"...
% 3.50/0.88 % (1135148)Refutation not found, incomplete strategy
% 3.50/0.88 % (1135148)------------------------------
% 3.50/0.88 % (1135148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135148)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135148)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.88 % (1135148)Time elapsed: 0.007 s
% 3.50/0.88 % (1135148)Peak memory usage: 12 MB
% 3.50/0.88 % (1135148)Instructions burned: 16 (million)
% 3.50/0.88 % (1135148)------------------------------
% 3.50/0.88 % (1135148)------------------------------
% 3.50/0.88 % (1135128)...printing done.
% 3.50/0.88 % (1135139)Instruction limit reached!
% 3.50/0.88 % (1135139)------------------------------
% 3.50/0.88 % (1135139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135139)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135139)Termination reason: Instruction limit
% 3.50/0.88 % (1135139)Termination phase: Saturation
% 3.50/0.88 % (1135139)Time elapsed: 0.139 s
% 3.50/0.88 % (1135139)Peak memory usage: 13 MB
% 3.50/0.88 % (1135139)Instructions burned: 375 (million)
% 3.50/0.88 % (1135128)Refutation found. Thanks to Tanya!
% 3.50/0.88 % SZS status Theorem for theBenchmark
% 3.50/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/0.88 % (1135128)------------------------------
% 3.50/0.88 % (1135128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.88 % (1135128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.88 % (1135128)CaDiCaL version: 2.1.3
% 3.50/0.88 % (1135128)Termination reason: Refutation
% 3.50/0.88 % (1135128)Time elapsed: 0.172 s
% 3.50/0.88 % (1135128)Peak memory usage: 14 MB
% 3.50/0.88 % (1135128)Instructions burned: 387 (million)
% 3.50/0.88 % (1134999)Success in time 0.644 s
% 3.50/0.88 % Vampire exiting
%------------------------------------------------------------------------------