%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL942^2 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:14:53 AM UTC 2026
% Result : Theorem 9.16s 1.82s
% Output : Refutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 3024 ( 40 equ; 0 cnn)
% Maximal formula atoms : 196 ( 65 avg)
% Number of connectives : 5310 ( 29 ~; 64 |; 251 &;4291 @)
% ( 0 <=>; 340 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 126 ( 126 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 41 usr; 13 con; 0-4 aty)
% ( 335 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 555 ( 547 ^; 8 !; 0 ?; 555 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_18,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_19,type,
inv: $i > $i ).
thf(func_def_20,type,
op: $i > $i > $i ).
thf(func_def_21,type,
vNOT: $o > $o ).
thf(func_def_22,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_25,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_26,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_28,type,
vIMP: $o > $o > $o ).
thf(func_def_31,type,
vOR: $o > $o > $o ).
thf(func_def_32,type,
vAND: $o > $o > $o ).
thf(func_def_33,type,
vIFF: $o > $o > $o ).
thf(func_def_34,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
sK0: mworld ).
thf(func_def_40,type,
sK1: mworld ).
thf(func_def_41,type,
sK2: mworld ).
thf(func_def_42,type,
sK3: mworld ).
thf(func_def_44,type,
sK5: mworld ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f2,axiom,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f4,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(f7,axiom,
( ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f29,conjecture,
mlocal @ ( mbox @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox @ ( mnot @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(f30,negated_conjecture,
~ ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox @ ( mnot @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
thf(f31,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f32,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f35,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox ),
inference(rectify,[],[f7]) ).
thf(f36,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f35]) ).
thf(f41,plain,
~ ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox @ ( mnot @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f30]) ).
thf(f42,plain,
( $true
= ( ~ ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox @ ( mnot @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f43,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f44,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f55,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f56,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f63,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f64,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f75,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f90,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f102,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f103,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f104,plain,
( $true
= ( ~ ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox @ ( mnot @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f105,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f75]) ).
thf(f106,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f115,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f129,plain,
( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f104,f105,f103,f90,f102,f115,f102,f103,f102,f103,f102,f103,f103,f115,f102,f103,f102,f103,f102,f103,f103,f115,f102,f103,f102,f103,f102,f103,f103,f102,f103,f102,f103,f102,f103,f103,f103,f90,f115,f102,f103,f102,f103,f102,f103,f103,f115,f102,f103,f102,f103,f102,f103,f103,f115,f102,f103,f102,f103,f102,f103,f103,f102,f103,f102,f103,f102,f103,f103]) ).
thf(f157,plain,
( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f129]) ).
thf(f163,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f106]) ).
thf(f164,plain,
! [X1: mworld] :
( $true
= ( mrel @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f177,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f157]) ).
thf(f180,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f177]) ).
thf(f181,plain,
( $false
= ( ( mrel @ mactual @ sK0 )
=> ~ ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f184,plain,
( ( ~ ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f181]) ).
thf(f417,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) )
& ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f184]) ).
thf(f423,plain,
( $true
= ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f417]) ).
thf(f424,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f417]) ).
thf(f766,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f424]) ).
thf(f767,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ sK0 @ X1 )
=> ~ ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f766]) ).
thf(f773,plain,
( $true
= ( $true
=> ~ ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ) ),
inference(superposition,[],[f767,f164]) ).
thf(f780,plain,
( $true
= ( ~ ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK0 @ Y0 )
=> ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f773]) ).
thf(f781,plain,
( $true = ( ~ $true ) ),
inference(forward_demodulation,[],[f780,f423]) ).
thf(f782,plain,
$false = $true,
inference(boolean_simplification,[],[f781]) ).
thf(f783,plain,
$false,
inference(trivial_inequality_removal,[],[f782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL942^2 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 10:43:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.39 % (547853)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.39 % (547863)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=516600120:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.39 % (547864)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.39 % (547864)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
% 0.61/0.39 % (547862)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4016227261:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.39 % (547858)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=755544165:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.39 % (547860)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4229785622:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.39 % (547859)lrs+10_16_si=on:nwc=1.5:random_seed=119380651:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.39 % (547861)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=544390558: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)
% 0.61/0.39 % (547864)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=3778198393:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.39 % (547860)Instruction limit reached!
% 0.61/0.39 % (547860)------------------------------
% 0.61/0.39 % (547860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (547860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (547860)CaDiCaL version: 2.1.3
% 0.61/0.39 % (547860)Termination reason: Instruction limit
% 0.61/0.39 % (547860)Termination phase: shuffling
% 0.61/0.39 % (547860)Time elapsed: 0.003 s
% 0.61/0.39 % (547860)Peak memory usage: 9 MB
% 0.61/0.39 % (547860)Instructions burned: 8 (million)
% 0.61/0.39 % (547859)Instruction limit reached!
% 0.61/0.39 % (547859)------------------------------
% 0.61/0.39 % (547859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (547859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (547859)CaDiCaL version: 2.1.3
% 0.61/0.39 % (547859)Termination reason: Instruction limit
% 0.61/0.39 % (547859)Termination phase: shuffling
% 0.61/0.39 % (547859)Time elapsed: 0.007 s
% 0.61/0.39 % (547859)Peak memory usage: 9 MB
% 0.61/0.39 % (547859)Instructions burned: 20 (million)
% 0.61/0.39 % (547863)Instruction limit reached!
% 0.61/0.39 % (547863)------------------------------
% 0.61/0.39 % (547863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (547863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (547863)CaDiCaL version: 2.1.3
% 0.61/0.39 % (547863)Termination reason: Instruction limit
% 0.61/0.39 % (547863)Termination phase: SInE selection
% 0.61/0.39 % (547863)Time elapsed: 0.014 s
% 0.61/0.39 % (547863)Peak memory usage: 10 MB
% 0.61/0.39 % (547863)Instructions burned: 77 (million)
% 0.61/0.39 % (547862)Instruction limit reached!
% 0.61/0.39 % (547862)------------------------------
% 0.61/0.39 % (547862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (547862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (547862)CaDiCaL version: 2.1.3
% 0.61/0.39 % (547862)Termination reason: Instruction limit
% 0.61/0.39 % (547862)Termination phase: shuffling
% 0.61/0.39 % (547862)Time elapsed: 0.009 s
% 0.61/0.39 % (547862)Peak memory usage: 9 MB
% 0.61/0.39 % (547862)Instructions burned: 29 (million)
% 0.61/0.39 % (547874)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.39 % (547874)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=605086301:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.42 % (547874)Instruction limit reached!
% 0.61/0.42 % (547874)------------------------------
% 0.61/0.42 % (547874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (547874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (547874)CaDiCaL version: 2.1.3
% 0.61/0.42 % (547874)Termination reason: Instruction limit
% 0.61/0.42 % (547874)Termination phase: Property scanning
% 0.61/0.42 % (547874)Time elapsed: 0.002 s
% 0.61/0.42 % (547874)Peak memory usage: 9 MB
% 0.61/0.42 % (547874)Instructions burned: 10 (million)
% 0.61/0.42 % (547872)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=771278640:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.42 % (547875)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=552301811:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.42 % (547872)Instruction limit reached!
% 0.61/0.42 % (547872)------------------------------
% 0.61/0.42 % (547872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (547872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (547872)CaDiCaL version: 2.1.3
% 0.61/0.43 % (547872)Termination reason: Instruction limit
% 0.61/0.43 % (547872)Termination phase: shuffling
% 0.61/0.43 % (547872)Time elapsed: 0.003 s
% 0.61/0.43 % (547872)Peak memory usage: 9 MB
% 0.61/0.43 % (547872)Instructions burned: 9 (million)
% 0.61/0.43 % (547858)Instruction limit reached!
% 0.61/0.43 % (547858)------------------------------
% 0.61/0.43 % (547858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (547858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (547858)CaDiCaL version: 2.1.3
% 0.61/0.43 % (547858)Termination reason: Instruction limit
% 0.61/0.43 % (547858)Termination phase: Property scanning
% 0.61/0.43 % (547858)Time elapsed: 0.030 s
% 0.61/0.43 % (547858)Peak memory usage: 10 MB
% 0.61/0.43 % (547877)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
% 0.61/0.43 % (547858)Instructions burned: 87 (million)
% 0.61/0.43 % (547877)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.43 % (547877)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1092234614:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.43 % (547875)Instruction limit reached!
% 0.61/0.43 % (547875)------------------------------
% 0.61/0.43 % (547875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (547875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (547875)CaDiCaL version: 2.1.3
% 0.61/0.43 % (547875)Termination reason: Instruction limit
% 0.61/0.43 % (547875)Termination phase: shuffling
% 0.61/0.43 % (547875)Time elapsed: 0.007 s
% 0.61/0.43 % (547875)Peak memory usage: 9 MB
% 0.61/0.43 % (547875)Instructions burned: 20 (million)
% 0.61/0.43 % (547873)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3817742875:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.43 % (547877)Instruction limit reached!
% 0.61/0.43 % (547877)------------------------------
% 0.61/0.43 % (547877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (547877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (547877)CaDiCaL version: 2.1.3
% 0.61/0.43 % (547877)Termination reason: Instruction limit
% 0.61/0.43 % (547877)Termination phase: Property scanning
% 0.61/0.43 % (547877)Time elapsed: 0.006 s
% 0.61/0.43 % (547877)Peak memory usage: 10 MB
% 0.61/0.43 % (547877)Instructions burned: 28 (million)
% 0.61/0.43 % (547873)Instruction limit reached!
% 0.61/0.43 % (547873)------------------------------
% 0.61/0.43 % (547873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (547873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (547873)CaDiCaL version: 2.1.3
% 0.61/0.43 % (547873)Termination reason: Instruction limit
% 0.61/0.43 % (547873)Termination phase: shuffling
% 0.61/0.43 % (547873)Time elapsed: 0.002 s
% 0.61/0.43 % (547873)Peak memory usage: 9 MB
% 0.61/0.46 % (547873)Instructions burned: 6 (million)
% 0.61/0.46 % (547885)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=253089277:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.61/0.46 % (547881)lrs+10_1_si=on:cs=on:random_seed=1362853206:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.46 % (547883)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.46 % (547881)Instruction limit reached!
% 0.61/0.46 % (547881)------------------------------
% 0.61/0.46 % (547881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (547881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (547881)CaDiCaL version: 2.1.3
% 0.61/0.46 % (547881)Termination reason: Instruction limit
% 0.61/0.46 % (547881)Termination phase: shuffling
% 0.61/0.46 % (547881)Time elapsed: 0.003 s
% 0.61/0.46 % (547881)Peak memory usage: 9 MB
% 0.61/0.46 % (547881)Instructions burned: 8 (million)
% 0.61/0.46 % (547883)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=1283634075:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.46 % (547883)Instruction limit reached!
% 0.61/0.46 % (547883)------------------------------
% 0.61/0.46 % (547883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (547883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (547883)CaDiCaL version: 2.1.3
% 0.61/0.46 % (547883)Termination reason: Instruction limit
% 0.61/0.46 % (547883)Termination phase: shuffling
% 0.61/0.46 % (547883)Time elapsed: 0.001 s
% 0.61/0.46 % (547883)Peak memory usage: 9 MB
% 0.61/0.46 % (547883)Instructions burned: 2 (million)
% 0.61/0.46 % (547880)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=975989022:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.46 % (547864)Instruction limit reached!
% 0.61/0.46 % (547864)------------------------------
% 0.61/0.46 % (547864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (547864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (547864)CaDiCaL version: 2.1.3
% 0.61/0.46 % (547864)Termination reason: Instruction limit
% 0.61/0.46 % (547864)Termination phase: Saturation
% 0.61/0.46 % (547864)Time elapsed: 0.059 s
% 0.61/0.46 % (547864)Peak memory usage: 12 MB
% 0.61/0.46 % (547864)Instructions burned: 161 (million)
% 0.61/0.46 % (547885)Instruction limit reached!
% 0.61/0.46 % (547885)------------------------------
% 0.61/0.46 % (547885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (547885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (547885)CaDiCaL version: 2.1.3
% 0.61/0.46 % (547885)Termination reason: Instruction limit
% 0.61/0.46 % (547885)Termination phase: Property scanning
% 0.61/0.46 % (547885)Time elapsed: 0.010 s
% 0.61/0.46 % (547885)Peak memory usage: 10 MB
% 0.61/0.46 % (547885)Instructions burned: 61 (million)
% 0.61/0.46 % (547890)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1390234319:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.61/0.46 % (547886)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4197455606:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.61/0.46 % (547892)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=487234079:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.46 % (547893)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2871228409:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.61/0.46 % (547892)Instruction limit reached!
% 0.61/0.46 % (547892)------------------------------
% 0.61/0.46 % (547892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (547892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (547892)CaDiCaL version: 2.1.3
% 0.61/0.46 % (547892)Termination reason: Instruction limit
% 0.61/0.46 % (547892)Termination phase: shuffling
% 0.61/0.46 % (547892)Time elapsed: 0.005 s
% 1.47/0.51 % (547892)Peak memory usage: 9 MB
% 1.47/0.51 % (547892)Instructions burned: 17 (million)
% 1.47/0.51 % (547890)Instruction limit reached!
% 1.47/0.51 % (547890)------------------------------
% 1.47/0.51 % (547890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547890)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547890)Termination reason: Instruction limit
% 1.47/0.51 % (547890)Termination phase: shuffling
% 1.47/0.51 % (547890)Time elapsed: 0.009 s
% 1.47/0.51 % (547890)Peak memory usage: 9 MB
% 1.47/0.51 % (547890)Instructions burned: 28 (million)
% 1.47/0.51 % (547894)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=91862761:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.47/0.51 % (547894)Instruction limit reached!
% 1.47/0.51 % (547894)------------------------------
% 1.47/0.51 % (547894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547894)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547894)Termination reason: Instruction limit
% 1.47/0.51 % (547894)Termination phase: shuffling
% 1.47/0.51 % (547894)Time elapsed: 0.005 s
% 1.47/0.51 % (547894)Peak memory usage: 9 MB
% 1.47/0.51 % (547894)Instructions burned: 15 (million)
% 1.47/0.51 % (547880)Instruction limit reached!
% 1.47/0.51 % (547880)------------------------------
% 1.47/0.51 % (547880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547880)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547880)Termination reason: Instruction limit
% 1.47/0.51 % (547880)Termination phase: Property scanning
% 1.47/0.51 % (547880)Time elapsed: 0.034 s
% 1.47/0.51 % (547880)Peak memory usage: 10 MB
% 1.47/0.51 % (547880)Instructions burned: 89 (million)
% 1.47/0.51 % (547899)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2657309670: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)
% 1.47/0.51 % (547902)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1257788834:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.47/0.51 % (547901)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2989433416:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.47/0.51 % (547899)Instruction limit reached!
% 1.47/0.51 % (547899)------------------------------
% 1.47/0.51 % (547899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547899)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547899)Termination reason: Instruction limit
% 1.47/0.51 % (547899)Termination phase: shuffling
% 1.47/0.51 % (547899)Time elapsed: 0.003 s
% 1.47/0.51 % (547899)Peak memory usage: 9 MB
% 1.47/0.51 % (547899)Instructions burned: 9 (million)
% 1.47/0.51 % (547902)Instruction limit reached!
% 1.47/0.51 % (547902)------------------------------
% 1.47/0.51 % (547902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547902)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547902)Termination reason: Instruction limit
% 1.47/0.51 % (547902)Termination phase: shuffling
% 1.47/0.51 % (547902)Time elapsed: 0.004 s
% 1.47/0.51 % (547902)Peak memory usage: 10 MB
% 1.47/0.51 % (547902)Instructions burned: 24 (million)
% 1.47/0.51 % (547903)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1221187488:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.47/0.51 % (547901)Instruction limit reached!
% 1.47/0.51 % (547901)------------------------------
% 1.47/0.51 % (547901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.51 % (547901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.51 % (547901)CaDiCaL version: 2.1.3
% 1.47/0.51 % (547901)Termination reason: Instruction limit
% 1.47/0.51 % (547901)Termination phase: Property scanning
% 1.47/0.51 % (547901)Time elapsed: 0.011 s
% 1.47/0.51 % (547901)Peak memory usage: 10 MB
% 1.47/0.51 % (547901)Instructions burned: 27 (million)
% 1.47/0.51 % (547908)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.47/0.57 % (547908)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=1182424371:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.47/0.57 % (547907)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
% 1.47/0.57 % (547907)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.47/0.57 % (547908)Instruction limit reached!
% 1.47/0.57 % (547908)------------------------------
% 1.47/0.57 % (547908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.57 % (547908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.57 % (547908)CaDiCaL version: 2.1.3
% 1.47/0.57 % (547908)Termination reason: Instruction limit
% 1.47/0.57 % (547908)Termination phase: shuffling
% 1.47/0.57 % (547908)Time elapsed: 0.002 s
% 1.47/0.57 % (547908)Peak memory usage: 9 MB
% 1.47/0.57 % (547908)Instructions burned: 11 (million)
% 1.47/0.57 % (547907)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=701222502:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.47/0.57 % (547907)Instruction limit reached!
% 1.47/0.57 % (547907)------------------------------
% 1.47/0.57 % (547907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.57 % (547907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.57 % (547907)CaDiCaL version: 2.1.3
% 1.47/0.57 % (547907)Termination reason: Instruction limit
% 1.47/0.57 % (547907)Termination phase: Property scanning
% 1.47/0.57 % (547907)Time elapsed: 0.006 s
% 1.47/0.57 % (547907)Peak memory usage: 10 MB
% 1.47/0.57 % (547907)Instructions burned: 16 (million)
% 1.47/0.57 % (547912)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1476871067:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.47/0.57 % (547903)Instruction limit reached!
% 1.47/0.57 % (547903)------------------------------
% 1.47/0.57 % (547903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.57 % (547903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.57 % (547903)CaDiCaL version: 2.1.3
% 1.47/0.57 % (547903)Termination reason: Instruction limit
% 1.47/0.57 % (547903)Termination phase: Property scanning
% 1.47/0.57 % (547903)Time elapsed: 0.021 s
% 1.47/0.57 % (547903)Peak memory usage: 10 MB
% 1.47/0.57 % (547903)Instructions burned: 63 (million)
% 1.47/0.57 % (547910)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=4036002227:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.47/0.57 % (547912)Instruction limit reached!
% 1.47/0.57 % (547912)------------------------------
% 1.47/0.57 % (547912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.57 % (547912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.57 % (547912)CaDiCaL version: 2.1.3
% 1.47/0.57 % (547912)Termination reason: Instruction limit
% 1.47/0.57 % (547912)Termination phase: shuffling
% 1.47/0.57 % (547912)Time elapsed: 0.002 s
% 1.47/0.57 % (547912)Peak memory usage: 9 MB
% 1.47/0.57 % (547912)Instructions burned: 11 (million)
% 1.47/0.57 % (547918)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3813552160:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.47/0.57 % (547910)Instruction limit reached!
% 1.47/0.57 % (547910)------------------------------
% 1.47/0.57 % (547910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.57 % (547910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.57 % (547910)CaDiCaL version: 2.1.3
% 1.47/0.57 % (547910)Termination reason: Instruction limit
% 1.47/0.57 % (547910)Termination phase: Property scanning
% 1.47/0.57 % (547910)Time elapsed: 0.013 s
% 1.47/0.57 % (547910)Peak memory usage: 10 MB
% 1.47/0.57 % (547910)Instructions burned: 33 (million)
% 1.47/0.57 % (547916)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1368727809:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.38/0.65 % (547893)Refutation not found, incomplete strategy
% 2.38/0.65 % (547893)------------------------------
% 2.38/0.65 % (547893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.65 % (547893)CaDiCaL version: 2.1.3
% 2.38/0.65 % (547893)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.65 % (547893)Time elapsed: 0.076 s
% 2.38/0.65 % (547893)Peak memory usage: 15 MB
% 2.38/0.65 % (547893)Instructions burned: 182 (million)
% 2.38/0.65 % (547893)------------------------------
% 2.38/0.65 % (547893)------------------------------
% 2.38/0.65 % (547914)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2620179833:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.38/0.65 % (547916)Instruction limit reached!
% 2.38/0.65 % (547916)------------------------------
% 2.38/0.65 % (547916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.65 % (547916)CaDiCaL version: 2.1.3
% 2.38/0.65 % (547916)Termination reason: Instruction limit
% 2.38/0.65 % (547916)Termination phase: shuffling
% 2.38/0.65 % (547916)Time elapsed: 0.010 s
% 2.38/0.65 % (547916)Peak memory usage: 9 MB
% 2.38/0.65 % (547916)Instructions burned: 31 (million)
% 2.38/0.65 % (547920)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1237077951:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.38/0.65 % (547914)Instruction limit reached!
% 2.38/0.65 % (547914)------------------------------
% 2.38/0.65 % (547914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.65 % (547914)CaDiCaL version: 2.1.3
% 2.38/0.65 % (547914)Termination reason: Instruction limit
% 2.38/0.65 % (547914)Termination phase: Property scanning
% 2.38/0.65 % (547914)Time elapsed: 0.011 s
% 2.38/0.65 % (547914)Peak memory usage: 9 MB
% 2.38/0.65 % (547914)Instructions burned: 24 (million)
% 2.38/0.65 % (547886)Refutation not found, incomplete strategy
% 2.38/0.65 % (547886)------------------------------
% 2.38/0.65 % (547886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.65 % (547886)CaDiCaL version: 2.1.3
% 2.38/0.65 % (547886)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.65 % (547886)Time elapsed: 0.103 s
% 2.38/0.65 % (547886)Peak memory usage: 14 MB
% 2.38/0.65 % (547886)Instructions burned: 145 (million)
% 2.38/0.65 % (547886)------------------------------
% 2.38/0.65 % (547886)------------------------------
% 2.38/0.65 % (547923)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1233483701:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.38/0.65 % (547925)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2144581821:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.38/0.65 % (547926)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.38/0.65 % (547926)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=422786575:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.38/0.65 % (547926)Instruction limit reached!
% 2.38/0.65 % (547926)------------------------------
% 2.38/0.65 % (547926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.65 % (547926)CaDiCaL version: 2.1.3
% 2.38/0.65 % (547926)Termination reason: Instruction limit
% 2.38/0.65 % (547926)Termination phase: shuffling
% 2.38/0.65 % (547926)Time elapsed: 0.003 s
% 2.38/0.65 % (547926)Peak memory usage: 9 MB
% 2.38/0.65 % (547926)Instructions burned: 8 (million)
% 2.38/0.65 % (547925)Instruction limit reached!
% 2.38/0.65 % (547925)------------------------------
% 2.38/0.65 % (547925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.65 % (547925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547925)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547925)Termination reason: Instruction limit
% 2.61/0.72 % (547925)Termination phase: shuffling
% 2.61/0.72 % (547925)Time elapsed: 0.014 s
% 2.61/0.72 % (547925)Peak memory usage: 9 MB
% 2.61/0.72 % (547925)Instructions burned: 43 (million)
% 2.61/0.72 % (547928)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3700100880:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.61/0.72 % (547932)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.61/0.72 % (547931)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=101454991:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.61/0.72 % (547932)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1079200872:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.61/0.72 % (547920)Instruction limit reached!
% 2.61/0.72 % (547920)------------------------------
% 2.61/0.72 % (547920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (547920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547920)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547920)Termination reason: Instruction limit
% 2.61/0.72 % (547920)Termination phase: Property scanning
% 2.61/0.72 % (547920)Time elapsed: 0.051 s
% 2.61/0.72 % (547920)Peak memory usage: 11 MB
% 2.61/0.72 % (547920)Instructions burned: 143 (million)
% 2.61/0.72 % (547932)Instruction limit reached!
% 2.61/0.72 % (547932)------------------------------
% 2.61/0.72 % (547932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (547932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547932)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547932)Termination reason: Instruction limit
% 2.61/0.72 % (547932)Termination phase: shuffling
% 2.61/0.72 % (547932)Time elapsed: 0.003 s
% 2.61/0.72 % (547932)Peak memory usage: 10 MB
% 2.61/0.72 % (547932)Instructions burned: 8 (million)
% 2.61/0.72 % (547936)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1152224105:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.61/0.72 % (547937)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3997184950:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.61/0.72 % (547936)Instruction limit reached!
% 2.61/0.72 % (547936)------------------------------
% 2.61/0.72 % (547936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (547936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547936)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547936)Termination reason: Instruction limit
% 2.61/0.72 % (547936)Termination phase: shuffling
% 2.61/0.72 % (547936)Time elapsed: 0.008 s
% 2.61/0.72 % (547936)Peak memory usage: 9 MB
% 2.61/0.72 % (547936)Instructions burned: 22 (million)
% 2.61/0.72 % (547937)Instruction limit reached!
% 2.61/0.72 % (547937)------------------------------
% 2.61/0.72 % (547937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (547937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547937)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547937)Termination reason: Instruction limit
% 2.61/0.72 % (547937)Termination phase: Property scanning
% 2.61/0.72 % (547937)Time elapsed: 0.008 s
% 2.61/0.72 % (547937)Peak memory usage: 9 MB
% 2.61/0.72 % (547937)Instructions burned: 20 (million)
% 2.61/0.72 % (547923)Instruction limit reached!
% 2.61/0.72 % (547923)------------------------------
% 2.61/0.72 % (547923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (547923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (547923)CaDiCaL version: 2.1.3
% 2.61/0.72 % (547923)Termination reason: Instruction limit
% 2.61/0.72 % (547923)Termination phase: Saturation
% 2.61/0.72 % (547923)Time elapsed: 0.079 s
% 2.61/0.72 % (547923)Peak memory usage: 15 MB
% 2.61/0.72 % (547923)Instructions burned: 193 (million)
% 2.61/0.72 % (547940)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=697128029:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.61/0.77 % (547941)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=538922065: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)
% 2.61/0.77 % (547942)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=3784649121:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.61/0.77 % (547931)Instruction limit reached!
% 2.61/0.77 % (547931)------------------------------
% 2.61/0.77 % (547931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (547931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (547931)CaDiCaL version: 2.1.3
% 2.61/0.77 % (547931)Termination reason: Instruction limit
% 2.61/0.77 % (547931)Termination phase: Saturation
% 2.61/0.77 % (547931)Time elapsed: 0.068 s
% 2.61/0.77 % (547931)Peak memory usage: 15 MB
% 2.61/0.77 % (547931)Instructions burned: 170 (million)
% 2.61/0.77 % (547942)Instruction limit reached!
% 2.61/0.77 % (547942)------------------------------
% 2.61/0.77 % (547942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (547942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (547942)CaDiCaL version: 2.1.3
% 2.61/0.77 % (547942)Termination reason: Instruction limit
% 2.61/0.77 % (547942)Termination phase: shuffling
% 2.61/0.77 % (547942)Time elapsed: 0.017 s
% 2.61/0.77 % (547942)Peak memory usage: 10 MB
% 2.61/0.77 % (547942)Instructions burned: 48 (million)
% 2.61/0.77 % (547946)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2386309787:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.61/0.77 % (547928)Instruction limit reached!
% 2.61/0.77 % (547928)------------------------------
% 2.61/0.77 % (547928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (547928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (547928)CaDiCaL version: 2.1.3
% 2.61/0.77 % (547928)Termination reason: Instruction limit
% 2.61/0.77 % (547928)Termination phase: Saturation
% 2.61/0.77 % (547928)Time elapsed: 0.112 s
% 2.61/0.77 % (547928)Peak memory usage: 16 MB
% 2.61/0.77 % (547928)Instructions burned: 182 (million)
% 2.61/0.77 % (547861)Instruction limit reached!
% 2.61/0.77 % (547861)------------------------------
% 2.61/0.77 % (547861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (547861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (547861)CaDiCaL version: 2.1.3
% 2.61/0.77 % (547861)Termination reason: Instruction limit
% 2.61/0.77 % (547861)Termination phase: Saturation
% 2.61/0.77 % (547861)Time elapsed: 0.313 s
% 2.61/0.77 % (547861)Peak memory usage: 18 MB
% 2.61/0.77 % (547861)Instructions burned: 636 (million)
% 2.61/0.77 % (547947)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3947926439:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.61/0.77 % (547947)Instruction limit reached!
% 2.61/0.77 % (547947)------------------------------
% 2.61/0.77 % (547947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (547947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (547947)CaDiCaL version: 2.1.3
% 2.61/0.77 % (547947)Termination reason: Instruction limit
% 2.61/0.77 % (547947)Termination phase: shuffling
% 2.61/0.77 % (547947)Time elapsed: 0.008 s
% 2.61/0.77 % (547947)Peak memory usage: 9 MB
% 2.61/0.77 % (547947)Instructions burned: 23 (million)
% 2.61/0.77 % (547949)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.61/0.77 % (547949)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3162067005:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.61/0.77 % (547950)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1938989994:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.61/0.77 % (547950)Instruction limit reached!
% 2.61/0.77 % (547950)------------------------------
% 3.21/0.85 % (547950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547950)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547950)Termination reason: Instruction limit
% 3.21/0.85 % (547950)Termination phase: shuffling
% 3.21/0.85 % (547950)Time elapsed: 0.005 s
% 3.21/0.85 % (547950)Peak memory usage: 9 MB
% 3.21/0.85 % (547950)Instructions burned: 15 (million)
% 3.21/0.85 % (547952)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=9836269:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.21/0.85 % (547955)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=587276038:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.21/0.85 % (547946)Refutation not found, incomplete strategy
% 3.21/0.85 % (547946)------------------------------
% 3.21/0.85 % (547946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547946)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547946)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.85 % (547946)Time elapsed: 0.061 s
% 3.21/0.85 % (547946)Peak memory usage: 14 MB
% 3.21/0.85 % (547946)Instructions burned: 156 (million)
% 3.21/0.85 % (547946)------------------------------
% 3.21/0.85 % (547946)------------------------------
% 3.21/0.85 % (547952)Instruction limit reached!
% 3.21/0.85 % (547952)------------------------------
% 3.21/0.85 % (547952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547952)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547952)Termination reason: Instruction limit
% 3.21/0.85 % (547952)Termination phase: Property scanning
% 3.21/0.85 % (547952)Time elapsed: 0.025 s
% 3.21/0.85 % (547952)Peak memory usage: 10 MB
% 3.21/0.85 % (547952)Instructions burned: 66 (million)
% 3.21/0.85 % (547955)Instruction limit reached!
% 3.21/0.85 % (547955)------------------------------
% 3.21/0.85 % (547955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547955)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547955)Termination reason: Instruction limit
% 3.21/0.85 % (547955)Termination phase: shuffling
% 3.21/0.85 % (547955)Time elapsed: 0.017 s
% 3.21/0.85 % (547955)Peak memory usage: 9 MB
% 3.21/0.85 % (547955)Instructions burned: 51 (million)
% 3.21/0.85 % (547958)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1988786687:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.21/0.85 % (547959)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1014622751:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.21/0.85 % (547960)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=1308146206:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.21/0.85 % (547958)Instruction limit reached!
% 3.21/0.85 % (547958)------------------------------
% 3.21/0.85 % (547958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547958)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547958)Termination reason: Instruction limit
% 3.21/0.85 % (547958)Termination phase: Property scanning
% 3.21/0.85 % (547958)Time elapsed: 0.012 s
% 3.21/0.85 % (547958)Peak memory usage: 10 MB
% 3.21/0.85 % (547958)Instructions burned: 32 (million)
% 3.21/0.85 % (547940)Instruction limit reached!
% 3.21/0.85 % (547940)------------------------------
% 3.21/0.85 % (547940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.85 % (547940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.85 % (547940)CaDiCaL version: 2.1.3
% 3.21/0.85 % (547940)Termination reason: Instruction limit
% 3.21/0.85 % (547940)Termination phase: Saturation
% 3.21/0.85 % (547940)Time elapsed: 0.137 s
% 3.21/0.85 % (547940)Peak memory usage: 15 MB
% 3.21/0.85 % (547940)Instructions burned: 323 (million)
% 3.21/0.85 % (547960)Instruction limit reached!
% 3.77/0.91 % (547960)------------------------------
% 3.77/0.91 % (547960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547960)CaDiCaL version: 2.1.3
% 3.77/0.91 % (547960)Termination reason: Instruction limit
% 3.77/0.91 % (547960)Termination phase: Property scanning
% 3.77/0.91 % (547960)Time elapsed: 0.014 s
% 3.77/0.91 % (547960)Peak memory usage: 10 MB
% 3.77/0.91 % (547960)Instructions burned: 36 (million)
% 3.77/0.91 % (547949)Instruction limit reached!
% 3.77/0.91 % (547949)------------------------------
% 3.77/0.91 % (547949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547949)CaDiCaL version: 2.1.3
% 3.77/0.91 % (547949)Termination reason: Instruction limit
% 3.77/0.91 % (547949)Termination phase: Saturation
% 3.77/0.91 % (547949)Time elapsed: 0.076 s
% 3.77/0.91 % (547949)Peak memory usage: 12 MB
% 3.77/0.91 % (547949)Instructions burned: 201 (million)
% 3.77/0.91 % (547964)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=81049345:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.77/0.91 % (547965)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.77/0.91 % (547965)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3145319086:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.77/0.91 % (547966)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1548989842:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.77/0.91 % (547967)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2486640389:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.77/0.91 % (547918)Instruction limit reached!
% 3.77/0.91 % (547918)------------------------------
% 3.77/0.91 % (547918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547918)CaDiCaL version: 2.1.3
% 3.77/0.91 % (547918)Termination reason: Instruction limit
% 3.77/0.91 % (547918)Termination phase: Saturation
% 3.77/0.91 % (547918)Time elapsed: 0.287 s
% 3.77/0.91 % (547918)Peak memory usage: 16 MB
% 3.77/0.91 % (547918)Instructions burned: 1244 (million)
% 3.77/0.91 % (547964)Instruction limit reached!
% 3.77/0.91 % (547964)------------------------------
% 3.77/0.91 % (547964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547964)CaDiCaL version: 2.1.3
% 3.77/0.91 % (547964)Termination reason: Instruction limit
% 3.77/0.91 % (547964)Termination phase: Property scanning
% 3.77/0.91 % (547964)Time elapsed: 0.023 s
% 3.77/0.91 % (547964)Peak memory usage: 10 MB
% 3.77/0.91 % (547964)Instructions burned: 69 (million)
% 3.77/0.91 % (547972)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2186774000:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.77/0.91 % (547959)Instruction limit reached!
% 3.77/0.91 % (547959)------------------------------
% 3.77/0.91 % (547959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547959)CaDiCaL version: 2.1.3
% 3.77/0.91 % (547959)Termination reason: Instruction limit
% 3.77/0.91 % (547959)Termination phase: Saturation
% 3.77/0.91 % (547959)Time elapsed: 0.054 s
% 3.77/0.91 % (547959)Peak memory usage: 12 MB
% 3.77/0.91 % (547959)Instructions burned: 138 (million)
% 3.77/0.91 % (547973)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=920825834:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.77/0.91 % (547975)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=969835729:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.77/0.91 % (547967)Instruction limit reached!
% 3.77/0.91 % (547967)------------------------------
% 3.77/0.91 % (547967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.91 % (547967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.91 % (547967)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547967)Termination reason: Instruction limit
% 3.77/0.99 % (547967)Termination phase: Function definition elimination
% 3.77/0.99 % (547967)Time elapsed: 0.034 s
% 3.77/0.99 % (547967)Peak memory usage: 10 MB
% 3.77/0.99 % (547967)Instructions burned: 98 (million)
% 3.77/0.99 % (547972)Refutation not found, incomplete strategy
% 3.77/0.99 % (547972)------------------------------
% 3.77/0.99 % (547972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.99 % (547972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.99 % (547972)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547972)Termination reason: Refutation not found, incomplete strategy
% 3.77/0.99 % (547972)Time elapsed: 0.027 s
% 3.77/0.99 % (547972)Peak memory usage: 14 MB
% 3.77/0.99 % (547972)Instructions burned: 132 (million)
% 3.77/0.99 % (547972)------------------------------
% 3.77/0.99 % (547972)------------------------------
% 3.77/0.99 % (547979)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4229254477:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.77/0.99 % (547978)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=902287345:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.77/0.99 % (547979)Instruction limit reached!
% 3.77/0.99 % (547979)------------------------------
% 3.77/0.99 % (547979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.99 % (547979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.99 % (547979)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547979)Termination reason: Instruction limit
% 3.77/0.99 % (547979)Termination phase: Function definition elimination
% 3.77/0.99 % (547979)Time elapsed: 0.010 s
% 3.77/0.99 % (547979)Peak memory usage: 10 MB
% 3.77/0.99 % (547979)Instructions burned: 49 (million)
% 3.77/0.99 % (547965)Instruction limit reached!
% 3.77/0.99 % (547965)------------------------------
% 3.77/0.99 % (547965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.99 % (547965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.99 % (547965)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547965)Termination reason: Instruction limit
% 3.77/0.99 % (547965)Termination phase: Saturation
% 3.77/0.99 % (547965)Time elapsed: 0.070 s
% 3.77/0.99 % (547965)Peak memory usage: 12 MB
% 3.77/0.99 % (547965)Instructions burned: 180 (million)
% 3.77/0.99 % (547966)Refutation not found, incomplete strategy
% 3.77/0.99 % (547966)------------------------------
% 3.77/0.99 % (547966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.99 % (547966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.99 % (547966)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547966)Termination reason: Refutation not found, incomplete strategy
% 3.77/0.99 % (547966)Time elapsed: 0.073 s
% 3.77/0.99 % (547966)Peak memory usage: 15 MB
% 3.77/0.99 % (547966)Instructions burned: 176 (million)
% 3.77/0.99 % (547966)------------------------------
% 3.77/0.99 % (547966)------------------------------
% 3.77/0.99 % (547982)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1085989303:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.77/0.99 % (547983)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2724761672:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.77/0.99 % (547985)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=897936442:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.77/0.99 % (547973)Refutation not found, incomplete strategy
% 3.77/0.99 % (547973)------------------------------
% 3.77/0.99 % (547973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.99 % (547973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.99 % (547973)CaDiCaL version: 2.1.3
% 3.77/0.99 % (547973)Termination reason: Refutation not found, incomplete strategy
% 3.77/0.99 % (547973)Time elapsed: 0.075 s
% 3.77/0.99 % (547973)Peak memory usage: 14 MB
% 3.77/0.99 % (547973)Instructions burned: 182 (million)
% 3.77/0.99 % (547973)------------------------------
% 3.77/0.99 % (547973)------------------------------
% 3.77/0.99 % (547982)Refutation not found, incomplete strategy
% 3.77/0.99 % (547982)------------------------------
% 3.77/0.99 % (547982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547982)CaDiCaL version: 2.1.3
% 5.35/1.06 % (547982)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.06 % (547982)Time elapsed: 0.034 s
% 5.35/1.06 % (547982)Peak memory usage: 14 MB
% 5.35/1.06 % (547982)Instructions burned: 163 (million)
% 5.35/1.06 % (547982)------------------------------
% 5.35/1.06 % (547982)------------------------------
% 5.35/1.06 % (547978)Refutation not found, incomplete strategy
% 5.35/1.06 % (547978)------------------------------
% 5.35/1.06 % (547978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547978)CaDiCaL version: 2.1.3
% 5.35/1.06 % (547978)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.06 % (547978)Time elapsed: 0.056 s
% 5.35/1.06 % (547978)Peak memory usage: 14 MB
% 5.35/1.06 % (547978)Instructions burned: 126 (million)
% 5.35/1.06 % (547978)------------------------------
% 5.35/1.06 % (547978)------------------------------
% 5.35/1.06 % (547989)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=2582488524: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_2994 on theBenchmark for (2994ds/105Mi)
% 5.35/1.06 % (547985)Instruction limit reached!
% 5.35/1.06 % (547985)------------------------------
% 5.35/1.06 % (547985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547985)CaDiCaL version: 2.1.3
% 5.35/1.06 % (547985)Termination reason: Instruction limit
% 5.35/1.06 % (547985)Termination phase: Function definition elimination
% 5.35/1.06 % (547985)Time elapsed: 0.033 s
% 5.35/1.06 % (547985)Peak memory usage: 10 MB
% 5.35/1.06 % (547985)Instructions burned: 95 (million)
% 5.35/1.06 % (547988)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=1508409049:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 5.35/1.06 % (547990)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=2606001059:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 5.35/1.06 % (547989)Instruction limit reached!
% 5.35/1.06 % (547989)------------------------------
% 5.35/1.06 % (547989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547989)CaDiCaL version: 2.1.3
% 5.35/1.06 % (547989)Termination reason: Instruction limit
% 5.35/1.06 % (547989)Termination phase: Saturation
% 5.35/1.06 % (547989)Time elapsed: 0.022 s
% 5.35/1.06 % (547989)Peak memory usage: 11 MB
% 5.35/1.06 % (547989)Instructions burned: 110 (million)
% 5.35/1.06 % (547993)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1556567268:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.35/1.06 % (547995)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3803545370:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.35/1.06 % (547988)Instruction limit reached!
% 5.35/1.06 % (547988)------------------------------
% 5.35/1.06 % (547988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547988)CaDiCaL version: 2.1.3
% 5.35/1.06 % (547988)Termination reason: Instruction limit
% 5.35/1.06 % (547988)Termination phase: Property scanning
% 5.35/1.06 % (547988)Time elapsed: 0.026 s
% 5.35/1.06 % (547988)Peak memory usage: 10 MB
% 5.35/1.06 % (547988)Instructions burned: 68 (million)
% 5.35/1.06 % (547975)Refutation not found, incomplete strategy
% 5.35/1.06 % (547975)------------------------------
% 5.35/1.06 % (547975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.06 % (547975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.06 % (547975)CaDiCaL version: 2.1.3
% 5.86/1.17 % (547975)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.17 % (547975)Time elapsed: 0.135 s
% 5.86/1.17 % (547975)Peak memory usage: 15 MB
% 5.86/1.17 % (547975)Instructions burned: 350 (million)
% 5.86/1.17 % (547975)------------------------------
% 5.86/1.17 % (547975)------------------------------
% 5.86/1.17 % (547998)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=1963634985:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.86/1.17 % (547998)Instruction limit reached!
% 5.86/1.17 % (547998)------------------------------
% 5.86/1.17 % (547998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.17 % (547998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.17 % (547998)CaDiCaL version: 2.1.3
% 5.86/1.17 % (547998)Termination reason: Instruction limit
% 5.86/1.17 % (547998)Termination phase: Property scanning
% 5.86/1.17 % (547998)Time elapsed: 0.013 s
% 5.86/1.17 % (547998)Peak memory usage: 10 MB
% 5.86/1.17 % (547998)Instructions burned: 34 (million)
% 5.86/1.17 % (547999)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=122194235:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.86/1.17 % (548001)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4031943225: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)
% 5.86/1.17 % (547999)Instruction limit reached!
% 5.86/1.17 % (547999)------------------------------
% 5.86/1.17 % (547999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.17 % (547999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.17 % (547999)CaDiCaL version: 2.1.3
% 5.86/1.17 % (547999)Termination reason: Instruction limit
% 5.86/1.17 % (547999)Termination phase: Property scanning
% 5.86/1.17 % (547999)Time elapsed: 0.032 s
% 5.86/1.17 % (547999)Peak memory usage: 10 MB
% 5.86/1.17 % (547999)Instructions burned: 92 (million)
% 5.86/1.17 % (548001)Instruction limit reached!
% 5.86/1.17 % (548001)------------------------------
% 5.86/1.17 % (548001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.17 % (548001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.17 % (548001)CaDiCaL version: 2.1.3
% 5.86/1.17 % (548001)Termination reason: Instruction limit
% 5.86/1.17 % (548001)Termination phase: Property scanning
% 5.86/1.17 % (548001)Time elapsed: 0.022 s
% 5.86/1.17 % (548001)Peak memory usage: 10 MB
% 5.86/1.17 % (548001)Instructions burned: 67 (million)
% 5.86/1.17 % (547941)Instruction limit reached!
% 5.86/1.17 % (547941)------------------------------
% 5.86/1.17 % (547941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.17 % (547941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.17 % (547941)CaDiCaL version: 2.1.3
% 5.86/1.17 % (547941)Termination reason: Instruction limit
% 5.86/1.17 % (547941)Termination phase: Saturation
% 5.86/1.17 % (547941)Time elapsed: 0.392 s
% 5.86/1.17 % (547941)Peak memory usage: 19 MB
% 5.86/1.17 % (547941)Instructions burned: 854 (million)
% 5.86/1.17 % (548004)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2778979479:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 5.86/1.17 % (548005)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=4044683730:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 5.86/1.17 % (548004)Instruction limit reached!
% 5.86/1.17 % (548004)------------------------------
% 5.86/1.17 % (548004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.17 % (548004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.17 % (548004)CaDiCaL version: 2.1.3
% 5.86/1.17 % (548004)Termination reason: Instruction limit
% 5.86/1.17 % (548004)Termination phase: shuffling
% 5.86/1.17 % (548004)Time elapsed: 0.008 s
% 5.86/1.17 % (548004)Peak memory usage: 9 MB
% 5.86/1.17 % (548004)Instructions burned: 22 (million)
% 5.86/1.17 % (548006)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1025648665:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 5.86/1.17 % (547993)Refutation not found, incomplete strategy
% 5.86/1.17 % (547993)------------------------------
% 5.86/1.17 % (547993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (547993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (547993)CaDiCaL version: 2.1.3
% 6.49/1.31 % (547993)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.31 % (547993)Time elapsed: 0.110 s
% 6.49/1.31 % (547993)Peak memory usage: 14 MB
% 6.49/1.31 % (547993)Instructions burned: 291 (million)
% 6.49/1.31 % (547995)Instruction limit reached!
% 6.49/1.31 % (547995)------------------------------
% 6.49/1.31 % (547995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (547995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (547995)CaDiCaL version: 2.1.3
% 6.49/1.31 % (547995)Termination reason: Instruction limit
% 6.49/1.31 % (547995)Termination phase: Saturation
% 6.49/1.31 % (547995)Time elapsed: 0.104 s
% 6.49/1.31 % (547995)Peak memory usage: 15 MB
% 6.49/1.31 % (547995)Instructions burned: 499 (million)
% 6.49/1.31 % (547993)------------------------------
% 6.49/1.31 % (547993)------------------------------
% 6.49/1.31 % (547983)Instruction limit reached!
% 6.49/1.31 % (547983)------------------------------
% 6.49/1.31 % (547983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (547983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (547983)CaDiCaL version: 2.1.3
% 6.49/1.31 % (547983)Termination reason: Instruction limit
% 6.49/1.31 % (547983)Termination phase: Saturation
% 6.49/1.31 % (547983)Time elapsed: 0.175 s
% 6.49/1.31 % (547983)Peak memory usage: 15 MB
% 6.49/1.31 % (547983)Instructions burned: 452 (million)
% 6.49/1.31 % (548006)Instruction limit reached!
% 6.49/1.31 % (548006)------------------------------
% 6.49/1.31 % (548006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (548006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (548006)CaDiCaL version: 2.1.3
% 6.49/1.31 % (548006)Termination reason: Instruction limit
% 6.49/1.31 % (548006)Termination phase: shuffling
% 6.49/1.31 % (548006)Time elapsed: 0.010 s
% 6.49/1.31 % (548006)Peak memory usage: 9 MB
% 6.49/1.31 % (548006)Instructions burned: 30 (million)
% 6.49/1.31 % (548009)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.49/1.31 % (548011)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=744410814:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 6.49/1.31 % (548009)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1630839430:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.49/1.31 % (548013)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.49/1.31 % (548012)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4282039143:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 6.49/1.31 % (548013)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4021552942:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 6.49/1.31 % (548014)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=16719839:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 6.49/1.31 % (548014)Instruction limit reached!
% 6.49/1.31 % (548014)------------------------------
% 6.49/1.31 % (548014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (548014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (548014)CaDiCaL version: 2.1.3
% 6.49/1.31 % (548014)Termination reason: Instruction limit
% 6.49/1.31 % (548014)Termination phase: Property scanning
% 6.49/1.31 % (548014)Time elapsed: 0.041 s
% 6.49/1.31 % (548014)Peak memory usage: 11 MB
% 6.49/1.31 % (548014)Instructions burned: 116 (million)
% 6.49/1.31 % (548009)Instruction limit reached!
% 6.49/1.31 % (548009)------------------------------
% 6.49/1.31 % (548009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.31 % (548009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.31 % (548009)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548009)Termination reason: Instruction limit
% 7.16/1.47 % (548009)Termination phase: Saturation
% 7.16/1.47 % (548009)Time elapsed: 0.054 s
% 7.16/1.47 % (548009)Peak memory usage: 11 MB
% 7.16/1.47 % (548009)Instructions burned: 138 (million)
% 7.16/1.47 % (548020)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3040230884:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 7.16/1.47 % (548021)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2223692895:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 7.16/1.47 % (548011)Instruction limit reached!
% 7.16/1.47 % (548011)------------------------------
% 7.16/1.47 % (548011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.47 % (548011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.47 % (548011)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548011)Termination reason: Instruction limit
% 7.16/1.47 % (548011)Termination phase: Saturation
% 7.16/1.47 % (548011)Time elapsed: 0.074 s
% 7.16/1.47 % (548011)Peak memory usage: 13 MB
% 7.16/1.47 % (548011)Instructions burned: 345 (million)
% 7.16/1.47 % (548012)Refutation not found, incomplete strategy
% 7.16/1.47 % (548012)------------------------------
% 7.16/1.47 % (548012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.47 % (548012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.47 % (548012)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548012)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.47 % (548012)Time elapsed: 0.069 s
% 7.16/1.47 % (548012)Peak memory usage: 16 MB
% 7.16/1.47 % (548012)Instructions burned: 169 (million)
% 7.16/1.47 % (548012)------------------------------
% 7.16/1.47 % (548012)------------------------------
% 7.16/1.47 % (548024)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=943904705:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/9840Mi)
% 7.16/1.47 % (548025)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2201635285:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 7.16/1.47 % (548005)Instruction limit reached!
% 7.16/1.47 % (548005)------------------------------
% 7.16/1.47 % (548005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.47 % (548005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.47 % (548005)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548005)Termination reason: Instruction limit
% 7.16/1.47 % (548005)Termination phase: Saturation
% 7.16/1.47 % (548005)Time elapsed: 0.142 s
% 7.16/1.47 % (548005)Peak memory usage: 17 MB
% 7.16/1.47 % (548005)Instructions burned: 338 (million)
% 7.16/1.47 % (548028)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 7.16/1.47 % (548028)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=232540283:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 7.16/1.47 % (548025)Refutation not found, incomplete strategy
% 7.16/1.47 % (548025)------------------------------
% 7.16/1.47 % (548025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.47 % (548025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.47 % (548025)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548025)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.47 % (548025)Time elapsed: 0.054 s
% 7.16/1.47 % (548025)Peak memory usage: 14 MB
% 7.16/1.47 % (548025)Instructions burned: 138 (million)
% 7.16/1.47 % (548025)------------------------------
% 7.16/1.47 % (548025)------------------------------
% 7.16/1.47 % (548013)Instruction limit reached!
% 7.16/1.47 % (548013)------------------------------
% 7.16/1.47 % (548013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.47 % (548013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.47 % (548013)CaDiCaL version: 2.1.3
% 7.16/1.47 % (548013)Termination reason: Instruction limit
% 7.16/1.47 % (548013)Termination phase: Saturation
% 8.23/1.74 % (548013)Time elapsed: 0.155 s
% 8.23/1.74 % (548013)Peak memory usage: 13 MB
% 8.23/1.74 % (548013)Instructions burned: 374 (million)
% 8.23/1.74 % (548030)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2461181598:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 8.23/1.74 % (548021)Instruction limit reached!
% 8.23/1.74 % (548021)------------------------------
% 8.23/1.74 % (548021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.74 % (548021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.74 % (548021)CaDiCaL version: 2.1.3
% 8.23/1.74 % (548021)Termination reason: Instruction limit
% 8.23/1.74 % (548021)Termination phase: Saturation
% 8.23/1.74 % (548021)Time elapsed: 0.104 s
% 8.23/1.74 % (548021)Peak memory usage: 12 MB
% 8.23/1.74 % (548021)Instructions burned: 271 (million)
% 8.23/1.74 % (548031)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.23/1.74 % (548031)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
% 8.23/1.74 % (548031)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=4180757873:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 8.23/1.74 % (548030)Instruction limit reached!
% 8.23/1.74 % (548030)------------------------------
% 8.23/1.74 % (548030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.74 % (548030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.74 % (548030)CaDiCaL version: 2.1.3
% 8.23/1.74 % (548030)Termination reason: Instruction limit
% 8.23/1.74 % (548030)Termination phase: Property scanning
% 8.23/1.74 % (548030)Time elapsed: 0.013 s
% 8.23/1.74 % (548030)Peak memory usage: 10 MB
% 8.23/1.74 % (548030)Instructions burned: 33 (million)
% 8.23/1.74 % (548033)dis+10_2_sil=128000:si=on:random_seed=1855110461:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 8.23/1.74 % (548035)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1601403770:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 8.23/1.74 % (548028)Instruction limit reached!
% 8.23/1.74 % (548028)------------------------------
% 8.23/1.74 % (548028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.74 % (548028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.74 % (548028)CaDiCaL version: 2.1.3
% 8.23/1.74 % (548028)Termination reason: Instruction limit
% 8.23/1.74 % (548028)Termination phase: Saturation
% 8.23/1.74 % (548028)Time elapsed: 0.100 s
% 8.23/1.74 % (548028)Peak memory usage: 12 MB
% 8.23/1.74 % (548028)Instructions burned: 270 (million)
% 8.23/1.74 % (548035)Instruction limit reached!
% 8.23/1.74 % (548035)------------------------------
% 8.23/1.74 % (548035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.74 % (548035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.74 % (548035)CaDiCaL version: 2.1.3
% 8.23/1.74 % (548035)Termination reason: Instruction limit
% 8.23/1.74 % (548035)Termination phase: Property scanning
% 8.23/1.74 % (548035)Time elapsed: 0.041 s
% 8.23/1.74 % (548035)Peak memory usage: 10 MB
% 8.23/1.74 % (548035)Instructions burned: 118 (million)
% 8.23/1.74 % (548038)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=490952643:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 8.23/1.74 % (548039)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=18256692:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 8.23/1.74 % (548038)Instruction limit reached!
% 8.23/1.74 % (548038)------------------------------
% 8.23/1.74 % (548038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.74 % (548038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.74 % (548038)CaDiCaL version: 2.1.3
% 8.23/1.74 % (548038)Termination reason: Instruction limit
% 9.16/1.82 % (548038)Termination phase: Saturation
% 9.16/1.82 % (548038)Time elapsed: 0.045 s
% 9.16/1.82 % (548038)Peak memory usage: 13 MB
% 9.16/1.82 % (548038)Instructions burned: 123 (million)
% 9.16/1.82 % (548039)Instruction limit reached!
% 9.16/1.82 % (548039)------------------------------
% 9.16/1.82 % (548039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548039)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548039)Termination reason: Instruction limit
% 9.16/1.82 % (548039)Termination phase: Property scanning
% 9.16/1.82 % (548039)Time elapsed: 0.048 s
% 9.16/1.82 % (548039)Peak memory usage: 10 MB
% 9.16/1.82 % (548039)Instructions burned: 136 (million)
% 9.16/1.82 % (548020)Instruction limit reached!
% 9.16/1.82 % (548020)------------------------------
% 9.16/1.82 % (548020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548020)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548020)Termination reason: Instruction limit
% 9.16/1.82 % (548020)Termination phase: Saturation
% 9.16/1.82 % (548020)Time elapsed: 0.245 s
% 9.16/1.82 % (548020)Peak memory usage: 16 MB
% 9.16/1.82 % (548020)Instructions burned: 577 (million)
% 9.16/1.82 % (548042)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=203611219:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 9.16/1.82 % (548033)Instruction limit reached!
% 9.16/1.82 % (548033)------------------------------
% 9.16/1.82 % (548033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548033)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548033)Termination reason: Instruction limit
% 9.16/1.82 % (548033)Termination phase: Saturation
% 9.16/1.82 % (548033)Time elapsed: 0.135 s
% 9.16/1.82 % (548033)Peak memory usage: 15 MB
% 9.16/1.82 % (548033)Instructions burned: 340 (million)
% 9.16/1.82 % (548043)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2284474089:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 9.16/1.82 % (548044)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.16/1.82 % (548044)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3155635872:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 9.16/1.82 % (548047)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2355035930:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 9.16/1.82 % (548042)Refutation not found, incomplete strategy
% 9.16/1.82 % (548042)------------------------------
% 9.16/1.82 % (548042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548042)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548042)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.82 % (548042)Time elapsed: 0.088 s
% 9.16/1.82 % (548042)Peak memory usage: 14 MB
% 9.16/1.82 % (548042)Instructions burned: 202 (million)
% 9.16/1.82 % (548042)------------------------------
% 9.16/1.82 % (548042)------------------------------
% 9.16/1.82 % (548050)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=942095265:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.16/1.82 % (548044)Instruction limit reached!
% 9.16/1.82 % (548044)------------------------------
% 9.16/1.82 % (548044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548044)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548044)Termination reason: Instruction limit
% 9.16/1.82 % (548044)Termination phase: Saturation
% 9.16/1.82 % (548044)Time elapsed: 0.108 s
% 9.16/1.82 % (548044)Peak memory usage: 13 MB
% 9.16/1.82 % (548044)Instructions burned: 282 (million)
% 9.16/1.82 % (548052)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3817090117:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.16/1.82 % (548052)Instruction limit reached!
% 9.16/1.82 % (548052)------------------------------
% 9.16/1.82 % (548052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548052)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548052)Termination reason: Instruction limit
% 9.16/1.82 % (548052)Termination phase: Saturation
% 9.16/1.82 % (548052)Time elapsed: 0.080 s
% 9.16/1.82 % (548052)Peak memory usage: 12 MB
% 9.16/1.82 % (548052)Instructions burned: 214 (million)
% 9.16/1.82 % (548054)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=779537550:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.16/1.82 % (548047)Refutation not found, incomplete strategy
% 9.16/1.82 % (548047)------------------------------
% 9.16/1.82 % (548047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548047)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548047)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.82 % (548047)Time elapsed: 0.256 s
% 9.16/1.82 % (548047)Peak memory usage: 17 MB
% 9.16/1.82 % (548047)Instructions burned: 608 (million)
% 9.16/1.82 % (548047)------------------------------
% 9.16/1.82 % (548047)------------------------------
% 9.16/1.82 % (548054)Instruction limit reached!
% 9.16/1.82 % (548054)------------------------------
% 9.16/1.82 % (548054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548054)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548054)Termination reason: Instruction limit
% 9.16/1.82 % (548054)Termination phase: Saturation
% 9.16/1.82 % (548054)Time elapsed: 0.051 s
% 9.16/1.82 % (548054)Peak memory usage: 13 MB
% 9.16/1.82 % (548054)Instructions burned: 131 (million)
% 9.16/1.82 % (548056)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=982829379:st=1.5:i=346:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/346Mi)
% 9.16/1.82 % (548057)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3628732089:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/152Mi)
% 9.16/1.82 % (548056)Refutation not found, incomplete strategy
% 9.16/1.82 % (548056)------------------------------
% 9.16/1.82 % (548056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548056)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548056)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.82 % (548056)Time elapsed: 0.056 s
% 9.16/1.82 % (548056)Peak memory usage: 14 MB
% 9.16/1.82 % (548056)Instructions burned: 127 (million)
% 9.16/1.82 % (548056)------------------------------
% 9.16/1.82 % (548056)------------------------------
% 9.16/1.82 % (548057)Instruction limit reached!
% 9.16/1.82 % (548057)------------------------------
% 9.16/1.82 % (548057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548057)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548057)Termination reason: Instruction limit
% 9.16/1.82 % (548057)Termination phase: Saturation
% 9.16/1.82 % (548057)Time elapsed: 0.056 s
% 9.16/1.82 % (548057)Peak memory usage: 12 MB
% 9.16/1.82 % (548057)Instructions burned: 154 (million)
% 9.16/1.82 % (548060)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3592162118:i=75:ep=R:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/75Mi)
% 9.16/1.82 % (548061)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=4149871944:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/387Mi)
% 9.16/1.82 % (548060)Instruction limit reached!
% 9.16/1.82 % (548060)------------------------------
% 9.16/1.82 % (548060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548060)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548060)Termination reason: Instruction limit
% 9.16/1.82 % (548060)Termination phase: Property scanning
% 9.16/1.82 % (548060)Time elapsed: 0.029 s
% 9.16/1.82 % (548060)Peak memory usage: 10 MB
% 9.16/1.82 % (548060)Instructions burned: 75 (million)
% 9.16/1.82 % (548064)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=1636524259:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2985 on theBenchmark for (2985ds/148Mi)
% 9.16/1.82 % (548031)Instruction limit reached!
% 9.16/1.82 % (548031)------------------------------
% 9.16/1.82 % (548031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548031)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548031)Termination reason: Instruction limit
% 9.16/1.82 % (548031)Termination phase: Saturation
% 9.16/1.82 % (548031)Time elapsed: 0.588 s
% 9.16/1.82 % (548031)Peak memory usage: 24 MB
% 9.16/1.82 % (548031)Instructions burned: 1440 (million)
% 9.16/1.82 % (548061)Refutation not found, incomplete strategy
% 9.16/1.82 % (548061)------------------------------
% 9.16/1.82 % (548061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.82 % (548061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.82 % (548061)CaDiCaL version: 2.1.3
% 9.16/1.82 % (548061)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.82 % (548061)Time elapsed: 0.069 s
% 9.16/1.82 % (548061)Peak memory usage: 15 MB
% 9.16/1.82 % (548061)Instructions burned: 141 (million)
% 9.16/1.82 % (548061)------------------------------
% 9.16/1.82 % (548061)------------------------------
% 9.16/1.82 % (548050) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-547853-548050"...
% 9.16/1.82 % (548050)...printing done.
% 9.16/1.82 % (548050)Refutation found. Thanks to Tanya!
% 9.16/1.82 % SZS status Theorem for theBenchmark
% 9.16/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 9.16/1.83 % (548050)------------------------------
% 9.16/1.83 % (548050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.83 % (548050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.83 % (548050)CaDiCaL version: 2.1.3
% 9.16/1.83 % (548050)Termination reason: Refutation
% 9.16/1.83 % (548050)Time elapsed: 0.376 s
% 9.16/1.83 % (548050)Peak memory usage: 20 MB
% 9.16/1.83 % (548050)Instructions burned: 746 (million)
% 9.16/1.83 % (547853)Success in time 1.566 s
% 9.16/1.83 % Vampire exiting
%------------------------------------------------------------------------------